Mathematics Prospectus

FOUR-YEAR DEGREE PROGRAMME IN MATHEMATICS

 100 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 101 FSC 111 Introductory Biology C 3
FSC 102 FSC 112 Introductory Chemistry C 3
FSC 103 FSC 113 Introductory Computer Science C 3
FSC 104 FSC 114 Introductory Mathematics C 3
FSC 105 FSC 115 Introductory Physics C 3
GST 102 GST 102 Introduction to Logic          and Philosophy C 2
GST 105 GST 105 Use of English I C 2
  TOTAL UNITS  OF COMPULSORY COURSES 19
  TOTAL UNITS OF ELECTIVE COURSES 0
 100 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 101 MAT 121 Algebra & Coordinate Geometry C 3
MAT 102 MAT 122 Calculus C 3
MAT 103 MAT 123 Mechanics I C 3
MAT 104 STA 121 Statistics for Scientists C 3
GST 103 GST 103 Nigerian People and Cultures C 2
CSC 100 CSC 120 Computer as a Problem Solving Tool C 3
PHS 101 PHS 122 Introductory Physics E 3
CHM 101 CHM 121 Introductory Chemistry E 3
  TOTAL UNITS  OF COMPULSORY COURSES   17
  TOTAL UNITS OF ELECTIVE COURSES   6
200 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
GST 201 GST 201 General African Studies C 2
MAT 201 MAT 211 Real Analysis I C 3
MAT 203 MAT 212 Abstract  Algebra I C 3
MAT 206 MAT 213 Mathematical Method I C 3
MAT 208 MAT 214 Mechanics II C 3
CSC 202 CSC 212 Introduction to Computer Programming C 3
MAT 216 MAT 216 Numerical Analysis I C 3
MAT 210 STA 211 Probability Theory E 3
MAT 205 MAT 215  History of  Mathematics E 2
PHS 206 PHS 216 Electronics I E 3
MAT 218 MAT 218 Electricity and Magntism E 2
  TOTAL UNITS  OF COMPULSORY COURSES   20
  TOTAL UNITS OF ELECTIVE COURSES   10
200 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 202 MAT 221 Real Analysis II C 2
MAT 204 MAT 222 Linear Algebra I C 2
MAT 207 MAT 223 Mathematical Method II C 3
MAT 209 MAT 224 Mechanics III C 3
CSC 207 CSC 227 Introduction to Information Processing C 3
MAT 212 STA 222 Statistical Methods E 2
MAT 211 STA 221 Distribution Theory E 3
PHS 202 PHS 222 Thermal Physics E 3
  PHS 229 Theoretical Physics I E 2
  TOTAL UNITS  OF COMPULSORY COURSES   13
  TOTAL UNITS OF ELECTIVE COURSES   10
300 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 301 FSC 311 History and Philosophy of Science I C 2
GST 307 GST 307 Entrepreneurship & Corporate Governance C 2
FRE 187B FRE 135 French for Science and Professional Students I C 2
MAT 301 MAT 311 Complex Analysis I C 3
MAT 302 MAT 312  Real Analysis III C 2
MAT 303 MAT 313 Abstract Algebra II C 3
MAT 310 MAT 314 Numerical Analysis II C 3
MAT 319 MAT 315 Real Analysis IV C 2
MAT 307 MAT 316 Mechanics IV E 3
  TOTAL UNITS OF COMPULSORY COURSES 18
  TOTAL UNITS OF ELECTIVE COURSES 3
300 LEVEL SECOND SEMESTER
  COURSE CODE OLD   COURSE CODE NEW COURSE TITLE STATUS C OR E UNITS
FRE 188B FRE 146 French for Science and Professional Students II C 2
MAT 304 MAT 321 Linear Algebra II C 3
MAT 305 MAT 322 Mathematical Method III C 3
MAT 306 MAT 323 Vectors and Tensors C 3
MAT 308 MAT 324 Introduction to Mathematical Modelling C 3
MAT 311 STA 321 Statistical Inference E 3
MAT 312 STA 322 Regression Analysis E 3
MAT 315 MAT 325 Analytical Dynamics E 3
MAT 316 MAT 326 Geometry I E 3
MAT 318 MAT 327 History of Mathematics II E 2
MAT 321 STA 322 Regression Analysis E 3
MAT MAT 328 Discrete Mathematics E 2
  TOTAL UNITS OF COMPULSORY COURSES   14
  TOTAL UNITS OF ELECTIVE COURSES   19
400 LEVEL FIRST SEMESTER
CURRENT COURSE CODE (OLD) PROPOSED COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 401 MAT 411 Functional Analysis I C 3
MAT 403 MAT 412 Abstract Algebra III C 3
MAT 404 MAT 413 General Topology I E 3
MAT 408 MAT 414 Differential Equation I C 3
MAT 409 MAT 415 Fluid Mechanics I E 3
MAT 411 MAT 416 Magnetic Fluid Mechanics E 3
MAT 418 STA 411 Design of Experiments E 3
MAT 419 STA 412 Stochastic Processes E 2
MAT 422 STA 413 Data Analysis E 3
MAT 446 MAT 417  Electromagnetic Theory E 3
MAT 431 MAT 418 Numerical Analysis III E 3
MAT 407 MAT 419 Number Theory E 3
  TOTAL UNITS OF COMPULSORY COURSES 9
  TOTAL UNITS OF ELECTIVE COURSES 26
400 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 402 MAT 421 Lebesgue Measure and Integration C 3
MAT 499 MAT 488 Project C 4
MAT 426 MAT 422 Complex Analysis II E 3
MAT 427 MAT 423 Abstract Algebra IV E 3
MAT 405 MAT 424 Algebraic Topology I E 3
MAT 410 MAT 425 Fluid Mechanics II E 3
MAT 412 MAT 426 Elasticity and Plasma Dynamics E 3
MAT 429 MAT 427 History of Mathematics III E 3
MAT 415 MAT 428 Electromagnetic Theory E 3
MAT 416 MAT 429 Quantum Mechanics E 3
MAT 420 STA 421 Sample Surveys E 2
MAT 424 STA 422 Probability Theory III E 3
MAT 425 MAT 441 Functional Analysis II E 3
MAT 428 MAT 442 General Topology II E 3
MAT 432 MAT 443 Numerical Analysis IV E 3
MAT 406 MAT 444 Differential Geometry E 3
  TOTAL UNITS OF COMPULSORY COURSES   7
  TOTAL UNITS OF ELECTIVE COURSES   41
Summary of units compulsory and elective courses to be taken at each Level for B.Sc. (Hons.) Mathematics
First Semester Second Semester
Level Units of compulsory courses Units of elective courses Units of compulsory courses Units of elective courses Total Units Compulsory Total
100 19 0 17 9 36 9
200 20 7 10 10 30 17
300 17 8 16 19 33 27
400 9 23 7 41 16 64
Grand Total Units = 115 117

B.Sc. INDUSTRIAL MATHEMATICS DEGREE PROGRAMME

 PHILOSOPHY

OPTION 1:

  1. Sc. (Hons) Industrial Mathematics (Applied and Computational Mathematics option)

the skills needed for modern computing.  A student is expected to specialize in an area of

applied mathematics so as to be able to tackle real life problems in his or her area of specialization by using the tools of Mathematics. This programme is designed to meet the demand of the analytical and computational skills needed in Engineering.

OPTION 2 Industrial Mathematics (Applied and Computational Mathematics option) aims to impact the fundamental principles of applied Mathematics on the students and the students at the same time acquire:

  1. Sc. (Hons) Industrial Mathematics (Mathematics with Computer Science option)

The aim of this programme is to train students in acquiring strong mathematical skills and at the

same time acquire adequate skills in modern computing.  A student may specialize in numerical or mathematical computation and on the other hand have interest in statistical analysis of data.  Approximately two – third of this programme will consist of courses in Mathematics and Statistics. The remaining one – third of the courses will be from Computer Science.

OPTION 3:

  1. Sc. (Hons) (Industrial Mathematics (Mathematics with Economics option)

This programme offers a strong mathematical background for students who have interest in Mathematics and may wish to become an Economist. The programme gives the connection between the mathematical theories and those in Economics. It has strong mathematical orientation to encourage students preparing for professional examination in Economics Science and to meet the requirements of the industries and the profession.

OPTION 4:

  1. Sc. (Hons) Industrial Mathematics (Mathematics with Actuarial Science option)

This programme is intended to offer a strong mathematical background for students who have interest in Mathematics and may wish to become actuaries. The programme is an interphase between the mathematical theories and managerial science. It has strong mathematical orientation to encourage students preparing for professional examination in Actuarial Science and to meet the requirements of the industries and the profession.

 

AIMS AND OBJECTIVES OF THE PROGRAMME

In the spirit of our vision and mission, the aims and objectives of the programme are:

  • To provide training in the applications of Mathematics to a whole range of problems in different areas of Science and industry.
  • To impact the fundamental principles of Applied Mathematics on the students and the students at the same time acquire the skills needed for modern computing.  
  • To provide a strong mathematical background for students who have interest in Mathematics and may wish to become actuaries
  • To train high level manpower in the area of Mathematics for employment in industries and the public services.

RATIONALE/JUSTIFICATION

Our mission is to train students to acquire mathematical knowledge and skills to the highest attainable level; produce for society, scientists with unmatched competencies in the fields of mathematical and cognate sciences, and who can help to imbue society with discipline and positive values which are ingredients that propel and sustain national development.

 

ADMISSION REQUIREMENTS

(i) Candidates for admission into the B.Sc. (Hons) degree in Industrial Mathematics must possess 5 (five) senior school certificate examination (SSCE) or its equivalent O – level credit passes in English Language, Mathematics, Further Mathematics, Physics and any of Chemistry or Biology or Economics or Geography in one sitting.

(ii) The unified Tertiary Matriculation Examination (UTME) subjects are English, Mathematics, Physics and any one of Chemistry or Economics or Geography.

(iii) Direct Entry candidates to 200 level must possess A – Level passes in Mathematics and one of Physics or Chemistry or Economics. In addition to O – level subjects indicated in (i) above, candidates with the same subjects as A-Level or its equivalence are also eligible.

 

 GRADUATION REQUIREMENT

UTME STUDENTS

For a candidate to graduate under a four-year B.Sc (Hons) degree programmes in Industrial Mathematics, he or she MUST pass a minimum of 128 units including all compulsory courses for the programme.


DIRECT ENTRY STUDENTS

For a candidate to graduate under a three-year B.Sc. (Hons) degree programme in Industrial Mathematics, he or she MUST pass a minimum of 96 units including all compulsory courses.

Candidates for Industrial Mathematics programme will have the opportunity to specialize in different areas of interest.  The different areas of interest are in different options, namely:

  • Applied and Computational Mathematics
  • Mathematics and Actuarial Science
  • Mathematics and Computer Science
  • Mathematics and Economics

FOUR-YEAR DEGREE PROGRAMME IN INDUSTRIAL MATHEMATICS: B.Sc. (Hons) IN INDUSTRIAL MATHEMATICS

OPTION 1:
  1. Sc. (Hons) Industrial Mathematics (Applied and Computational Mathematics Option)
100 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 101 FSC 111 Introductory Biology C 3
FSC 102 FSC 112 Introductory Chemistry C 3
FSC 103 FSC 113 Introductory Computer Science C 3
FSC 104 FSC 114 Introductory Mathematics C 3
FSC 105 FSC 115 Introductory Physics C 3
GST 102 GST 102 Introduction to Logic and Philosophy C 2
GST 105 GST 105 Use of English I C 2
  TOTAL UNITS OF COMPULSORY COURSES 19
  TOTAL UNITS OF ELECTIVE COURSES 0
100 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 101 MAT 121 Algebra & Coordinate Geometry C 3
MAT 102 MAT 122 Calculus C 3
MAT 103 MAT 123 Mechanics I C 3
MAT 104 STA 121 Statistics for Scientists C 3
GST 103 GST 103 Nigerian People and Cultures C 2
CSC 100 CSC 120 Computer as a problem solving Tool C 3
PHS 101 PHS 122 Introduction to Physics E 3
CHM 101 CHM 121 Introduction to Chemistry E 3
  TOTAL UNITS OF COMPULSORY COURSES   17
  TOTAL UNITS OF ELECTIVE COURSES   6
200 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
GST 201 GST 201 General African Studies C 2
MAT 201 MAT 211 Real Analysis I C 3
MAT 203 MAT 212  Abstract Algebra I C 3
MAT 206 MAT 213 Mathematical Methods I C 3
MAT 208 MAT 214 Mechanics II C 3
CSC 202 CSC 212 Introduction to Computer Programming C 3
MAT 210 STA 211 Probability Theory E 3
 MAT 216 MAT 216 Numerical Analysis I C 3
MAT 205 MAT 215 History of Mathematics I E 2
MAT 218 Electricity and Magnetism E 2
PHS 206 PHS 216 Electronics 1 E 3
  TOTAL UNITS OF COMPULSORY COURSES 18
  TOTAL UNITS OF ELECTIVE COURSES 10
200 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 202 MAT 221 Real Analysis II C 2
MAT 204 MAT 222 Linear Algebra I C 2
MAT 207 MAT 223 Mathematical Method II C 3
MAT 209 MAT 224 Mechanics III C 3
CSC 207 CSC 227 Introduction to Information Processing C 3
MAT 211 STA 221 Distribution Theory E 3
MAT 212 STA 222 Statistical Methods E 2
PHS 202 PHS 222 Thermal Physics E 2
PHS 229 Theoretical Physics I E 2
  TOTAL UNITS OF COMPULSORY COURSES   13
  TOTAL UNITS OF ELECTIVE COURSES   9
300 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 301 FSC 311 History and Philosophy of Science C 2
GST 307 GST 307 Entrepreneurship and Corporate Governance C 2
FRE 187 B FRE 135 French for Science and Professional Students I C 2
MAT 301 MAT 311 Complex Analysis I E 3
MAT 309 MAT 317 Electricity and Magnetism II E 3
MAT 310 MAT 314 Numerical Analysis II C 3
MAT 303 MAT 313 Abstract Algebra II C 3
MAT 302 MAT 312 Real Analysis III E 2
MAT 307 MAT 316 Mechanics IV E 3
  TOTAL UNITS OF COMPULSORY COURSES 12
  TOTAL UNITS OF ELECTIVE COURSES 11
300 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FRE 188B FRE 146 French and Professional Students II C 2
MAT 304 MAT 321 Linear Algebra II C 3
MAT 305 MAT 322 Mathematical Method III C 3
MAT 306 MAT 323 Vectors and Tensors E 3
MAT 308 MAT 324 Introduction to Mathematical Modeling C 3
MAT 315 MAT 325 Analytical Dynamics C 3
MAT 318 MAT 327 History of Mathematics II E 2
  MAT 329 Real Analysis  IV E 2
MAT 321 STA 323 Operation Research I E 3
  TOTAL UNITS OF COMPULSORY COURSES   14
  TOTAL UNITS OF ELECTIVE COURSES   10

<t

400 LEVEL FIRST SEMESTER

 

COURSE CODE

(OLD)

 

COURSE CODE

(NEW)

COURSE TITLE

STATUS

C OR E

UNITS
MAT 409MAT 415Fluid Mechanics IC3
MAT 411MAT 416Magnetic Fluid MechanicsC3
MAT 431MAT 418Numerical Analysis IIIC3
MAT 418STA 411Design of ExperimentsE3
MAT 419STA 412Stochastic ProcessesE2
MAT 401MAT 411Functional Analysis IE3
MAT 429MAT 416 Quantum MechanicsE3
 MAT 417Electromagnetic TheoryE3
CSC 421CSC 416Software Project ManagementE3
 TOTAL UNITS OFCOMPULSORY COURSES 9
 TOTAL UNITS OFELECTIVE COURSES 17
400 LEVEL SECOND SEMESTER
COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 402 MAT 421 Lebesgue Measure and Integration E 3
MAT 410 MAT 425 Fluid Mechanics II C 3
MAT 432 MAT 443 Numerical Analysis IV C 3
MAT 499 MAT 488 Project C 4
MAT 420 STA 421 Sample Surveys E 2
MAT 426 MAT 422 Complex Analysis II E 3
MAT 428 MAT 442 General Topology II E 3
MAT 415 MAT 428 Electromagnetic Theory E 3
MAT 429 Quantum  Mechanics E 3
MAT 425 MAT 441 Functional Analysis II E 3
  TOTAL UNITS OF COMPULSORY COURSES   10
  TOTAL UNITS OF ELECTIVE COURSES   20
Summary of units of compulsory and elective courses to be taken at each Level for B.Sc. (Hons) Industrial Mathematics (Applied and Computational Mathematics Option)
First Semester Second Semester
Level Units of compulsory courses Units of elective courses Units of compulsory courses Units of elective courses Total Compulsory Units Total Elective Units
100 19 0 17 6 36 6
200 20 10 13 9 33 19
300 12 11 14 10 26 21
400 9 17 10 20 19 37
Grand Total = 114  83
                                                                                                      
OPTION 2:
  1. Sc. (Hons) Industrial Mathematics (Mathematics and Computer Science Option)
100 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 101 FSC 111 Introductory Biology C 3
FSC 102 FSC 112 Introductory Chemistry C 3
FSC 103 FSC 113 Introductory Computer Science C 3
FSC 104 FSC 114 Introductory Mathematics C 3
FSC 105 FSC 115 Introductory Physics C 3
GST 102 GST 102 Introduction to Logic and Philosophy C 2
 GST 105 GST 105 Use of English I C 2
  TOTAL UNITS OF COMPULSORY COURSES   19
  TOTAL UNITS OF ELECTIVE COURSES   0
100 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 101   MAT 121 Algebra & Coordinate Geometry C 3
MAT 102 MAT 122 Calculus C 3
MAT 103 MAT 123 Mechanics I C 3
MAT 104 STA 121 Statistics for Scientists C 3
GST 103 GST 103 Nigerian People and Cultures C 2
CSC 100 CSC 120 Computer as a problem solving Tool C 3
PHS 102 PHS 122 Introduction to Physics E 3
CHM 101 CHM 121 Introduction to Chemistry E 3
  TOTAL UNITS OF COMPULSORY COURSES   17
  TOTAL UNITS OF ELECTIVE COURSES   6
200 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
GST 201 GST 201 General African Studies C 2
MAT 201 MAT 211 Real Analysis I C 3
MAT 206 MAT 213  Mathematical Methods I C 3
MAT 217 STA 212 Introduction to Statistical Packages C 3
CSC 201 CSC 211 Software Workshop II E 3
CSC 202 CSC 212 Introduction to Computer Programming C 3
CSC 203 CSC 213 Foundations of Sequential Programs C 3
MAT 203 MAT 212 Abstract Algebra I E 3
MAT 216 MAT 216 Numerical Analysis I E 3
MAT 208 MAT 214 Mechanics II E 3
MAT 210 STA 211 Probability Theory I E 3
PHS 206 PHS 216 Electronics I E 3
  TOTAL UNITS OF COMPULSORY COURSES 17
  TOTAL UNITS OF ELECTIVE COURSES COURSES 18
200 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 202 MAT 221 Real Analysis II C 2
MAT 204 MAT 222 Linear Algebra I C 2
MAT 207 MAT 223 Mathematical Methods  II C 3
CSC 204 CSC 224 Introduction to Data Structure C 3
CSC 207 CSC 227 Introduction to Information Processing C 2
MAT 209 MAT 224 Mechanics III E 3
MAT 212 STA 222 Statistical Methods E 2
MAT 211 STA 221 Distribution Theory E 3
PHS 263 PHS 222 Thermal Physics E 2
  PHS 229 Theoretical Physics I E 2
  CSC 225 Introduction to Computational Methods E 2
  TOTAL UNITS OF COMPULSORY COURSES   12
  TOTAL UNITS OF ELECTIVE COURSES   14
300 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 301 FSC 311 History and Philosophy of Science C 2
GST 307 GST 307 Entrepreneurship and corporate Governance C 2
FRE 187B FRE 135 French for Science and Professional Student I C 2
MAT301 MAT 311 Complex Analysis I E 3
MAT 302 MAT 312 Real Analysis III E 2
MAT 310 MAT 314 Numerical Analysis II C 3
CSC 302 CSC 310 Concurrent Programming E 3
CSC 304 CSC 314 Operating System C 3
CSC 306 CSC 316 Introduction to System Analysis and Design E 3
  TOTAL UNITS OF COMPULSORY COURSES 12
  TOTAL UNITS OF ELECTIVE COURSES 11
300 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FRE 188B FRE 146 French for Science and Professional II C 2
MAT 304 MAT 321 Linear Algebra II C 3
MAT 305 MAT 322 Mathematical Methods III C 3
MAT 308 MAT 324 Introduction to Mathematical Modeling E 3
MAT 321 STA 323 Operations Research I C 3
CSC 304 CSC 320 Algorithm and Complexity C 3
CSC 332 CSC 324 Formal Method in Software Development C 3
MAT 344 MAT 325 Analytical Dynamics E 3
MAT 311 STA 321 Statistical Inference E 3
MAT 312 STA 322 Regression Analysis E 3
  TOTAL UNITS OF COMPULSORY COURSES   14
  TOTAL UNITS OF ELECTIVE COURSES   12
 

400 LEVEL

FIRST SEMESTER

 

 

 

COURSE CODE

(OLD)

 

COURSE CODE

(NEW)

COURSE TITLE

STATUS

C OR E

UNITS

CSC 401

CSC 410

Introduction to Data Design and Management

C

3

CSC

CSC 419

Software Design and Architecture

C

3

MAT 401

MAT 411

Functional Analysis I

C

3

MAT 403

MAT 412

Abstract Algebra III

E

3

MAT 404

MAT 413

General Topology I

E

3

MAT 411

MAT 416

Fluid Mechanics I

E

3

MAT 418

STA 411

 Design of Experiments

E

3

MAT 419

STA 412

Stochastic Processes

E

2

 

TOTAL UNITS OF

COMPULSORY COURSES

 

9

 

TOTAL UNITS OF

ELECTIVE COURSES

 

14

400 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 402 MAT 421 Lebesgue Measure and Integration E 3
MAT 432 MAT 443 Numerical Analysis IV E 3
MAT 499 MAT 488 Project C 4
MAT 426 MAT 422 Complex Analysis II E 3
MAT 428 MAT 442 General Topology II E 3
MAT 410 MAT 425 Fluid Mechanics II E 3
MAT 421 STA 424 Operations Research II E 2
  CSC 522 Principle of Programming Language E 3
  CSC 527 Introduction to Optimization Techniques C 3
  TOTAL UNITS OF COMPULSORY COURSES   7
  TOTAL UNITS OF ELECTIVE COURSES   20
Summary of units of compulsory and elective courses to be taken at each Level for B.Sc. (Hons) Industrial Mathematics (Mathematics and Computer Science Option)
First Semester Second Semester
Level Units of compulsory courses Units of elective courses Units of compulsory courses Units of elective courses Total Units Compulsory Total Units Elective
100 19 0 17 6 36 6
200 17 18 12 14 29 32
300 12 13 17 12 29 25
400 9 14 7 20 16 34
Grand Total = 110 97
                                                                                                     
OPTION 3:
  1. Sc. (Hons) Industrial Mathematics (Mathematics and Economics Option)
100 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 101 FSC 111 Introductory Biology C 3
FSC 102 FSC 112 Introductory Chemistry C 3
FSC 103 FSC 113 Introductory Computer Science C 3
FS 104 FSC 114 Introductory Mathematics C 3
FSC 105 FSC 115 Introductory Physics C 3
GST 102 GST 102 Introduction to Logic and Philosophy C 2
GST 105 GST 105 Use of English I C 2
  TOTAL UNITS OF COMPULSORY COURSES   19
  TOTAL UNITS OF ELECTIVE COURSES   0
100 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 101 MAT 121 Algebra & Coordinate Geometry C 3
MAT 102 MAT 122 Calculus C 3
MAT 103 MAT 123 Mechanics I C 3
MAT 104 STA 121 Statistics for Scientists C 3
GST 103 GST 103 Nigerian People and Cultures C 2
CSC 100 CSC 120 Computer as a problem solving Tool C 3
PHS 102 PHS 122 Introduction to Physics E 3
CHM 101 CHM 121 Introduction to Chemistry E 3
  TOTAL UNITS OF COMPULSORY COURSES   17
  TOTAL UNITS OF ELECTIVE COURSES   6
200 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 204 MAT 222 Linear Algebra I C 2
MAT 207 MAT 223 Mathematical Method II C 3
MAT 212 STA 222 Statistical Methods C 2
ECN 221 ECN 221 Principle of Macroeconomics C 3
MAT 202 MAT 221 Real Analysis II E 2
ACC 220 ACC 221 Elements of Cost Accounting E 2
FIN 220 FIN 220 Introduction to Money and Bank E 2
MAT 211 STA 221 Distribution Theory E 3
  TOTAL UNITS OF COMPULSORY COURSES   10
  TOTAL UNITS OF ELECTIVE COURSES   9
300 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 301 FSC 311 History and Philosophy of Science C 2
GST 307 GST 307 Entrepreneurship and Corporate Governance C 2
FRE 187B FRE 135 French for Science and Professional Students I C 2
MAT 301 MAT 311 Complex Analysis I E 3
ECN 311 ECN 311  Microeconomics Theory C 3
  ECN 314 Introduction Econometrics C 3
ECN 319 ECN 317 Introduction to Industrial Economics E 2
ECN 316 ECN 319 Introduction to Monetary Economics E 2
 MAT 302 MAT 312 Real Analysis III E 2
 MAT 310 MAT 314 Numerical Analysis II E 3
  TOTAL UNITS OF COMPULSORY COURSES   12
  TOTAL UNITS OF ELECTIVE COURSES   12
300 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FRE 188B   FRE 146 French for Science and Professional Students II C 2
MAT 304 MAT 321 Linear Algebra II E 3
MAT 305 MAT 322 Mathematical Methods III C 3
ECN 321 ECN 321  Microeconomics Theory C 3
MAT 321 STA 323 Operations Research I C 3
ECN 329 ECN 323 Research Method in Economics C 3
MAT 311 STA 321 Statistical Inference C 3
MAT 312 STA 322 Regression Analysis E 3
MAT 208 MAT 324 Introduction to Mathematical Modelling E 3
ECN 324 ECN 326 Principle Public Finance E 2
ECN 320 ECN 341 Monetary Policy E 2
  TOTAL UNITS OF COMPULSORY COURSES   17
  TOTAL UNITS OF ELECTIVE COURSES   13
400 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 401 MAT 411 Functional Analysis I C 3
ECN 4111 ECN 4111 Advanced Microeconomics C 3
MAT 418 STA 411  Design of Experiments C 3
MAT 419 STA 413 Data Analysis E 2
ECN 414 ECN 413 Development and Economics C 3
  ECN 416 Advanced Statistical Theory E 2
  ECN 431 Advanced Mathematics Economics E 2
MAT 404 MAT 413 General Topology I E 3
  TOTAL UNITS OF COMPULSORY COURSES   12
  TOTAL UNITS OF ELECTIVE COURSES   9
<
400 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 402 MAT 421 Lebesgue Measure and Integration C 3
MAT 421 STA 424 Operation Research II C 3
ECN 433 ECN 443 Advanced Econometrics E 2
ECN 421 ECN 421 Advanced Macroeconomics C 3
MAT 499 MAT 488 Project C 4
 MAT 420 STA 421 Sample Survey E 2
MAT 424 STA 422 Probability Theory III E 3
ECN 425 ECN 429 Advanced Monetary and  Economics E 2
ECN 432 ECN 432 Petroleum and Energy Economics E 2
  TOTAL UNITS OF COMPULSORY COURSES   13
  TOTAL UNITS OF ELECTIVE COURSES   11
Summary of units of compulsory and elective courses to be taken at each Level for B.Sc. (Hons) Industrial Mathematics (Mathematics with Economics Option)
First Semester Second Semester   Total Elective Unit
Level Units of compulsory courses Units of elective courses Units of compulsory courses Units of elective courses Total  
100 19 0 17 6 36 6
200 13 17 10 9 23 36
300 12 12 17 13 29 25
400 12 9 13 11 25 20
Grand Total = 113 87
     
OPTION 4:
  1. Sc. (Hons) Industrial Mathematics (Mathematics and Actuarial Science Option)
100 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 101 FSC 111 Introductory Biology C 3
FSC 102 FSC 112 Introductory Chemistry C 3
FSC 103 FSC 113 Introductory Computer Science C 3
FSC 104 FSC 114 Introductory Mathematics C 3
FSC 105 FSC 115 Introductory Physics C 3
GST 102 GST 102 Introduction to Logic and Philosophy C 2
GST 105 GST 105 Use of English I C 2
  TOTAL UNITS OF COMPULSORY COURSES   19
  TOTAL UNITS OF ELECTIVE COURSES   0
<
100 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 101 MAT 121 Algebra & Coordinate Geometry C 3
MAT 102 MAT 122 Calculus C 3
MAT 103 MAT 123 Mechanics I C 3
MAT 104 STA 111 Statistics for Scientists C 3
GST 103 GST 103 Nigerian People and Cultures C 2
CSC 100 CSC 120 Computer as a problem solving Tool C 3
PHS 102 PHS 122 Introduction to Physics E 3
CHM 101 CHM 121 Introduction to Chemistry E 3
ECN 121 ECN 121 Introduction to Macro Economics C 2
  TOTAL UNITS OF COMPULSORY COURSES   19
  TOTAL UNITS OF ELECTIVE COURSES   6
200 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
GST 201 GST 201 General African Studies C 2
MAT 201 MAT 211 Real Analysis I E 3
MAT 206 MAT 213 Mathematical Methods I C 3
ACC 210 ACC 211 Principles of Financial Accounting C 2
FIN 210 FIN 210 Introduction to Finance C 3
BUS 210 BUS 210 Introduction to Management E 3
INS 210 INS 210 Introduction to Insurance E 2
MAT 203 MAT 212 Abstract Algebra I E 3
MAT 216 MAT 216 Numerical Analysis I C 3
  STA 211 Probability Theory I C 3
MAT 217 STA 212 Introduction to Statistical Packages E 3
  TOTAL UNITS OF COMPULSORY COURSES   16
  TOTAL UNITS OF ELECTIVE COURSES   14
200 LEVEL SECOND SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 202 MAT 221 Real Analysis II E 2
MAT 204 MAT 222 Linear Algebra I C 2
MAT 212 STA 222 Statistical Methods C 2
ACC 220 ACC 221 Elements of Cost Accounting C 2
 FIN 220 FIN 220 Introduction to Money and Banking C 2
ECN 221 ECN 221 Principle of Macroeconomics E 3
MAT 207 MAT 223 Mathematical Methods II E 3
MAT 211 STA 221 Distribution Theory E 3
INS 220 INS 220 Principle and Practices of Insurance E 2
  TOTAL UNITS OF COMPULSORY COURSES   8
  TOTAL UNITS OF ELECTIVE COURESE   13
300 LEVEL FIRST SEMESTER
  COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 301 FSC 311 History and Philosophy of Science C 2
GST 307 GST 307 Entrepreneurship and Corporate Governance C 2
FRE 187B FRE 135 French for Science and Professional Student I C 2
MAT 301 MAT 311 Complex Analysis I E 3
MAT 310 MAT 314 Numerical Analysis II C 3
MAT 314 STA 312 Statistical Concept and Methods E 3
ACS 310 ACS 310 Theory of Interest C 2
ACC 313 ACC 313 Life and other Contingencies I C 2
FIN 310 FIN 310 Business Finance I E 2
ECN 316 ECN 311 Microeconomics Theory E 3
  INS 311 Risk Management I E 3
MAT 302 MAT 312 Real Analysis III E 2
  TOTAL UNITS OF COMPULSORY COURSES   13
  TOTAL UNITS OF ELECTIVE COURSES   16
300 LEVEL SECOND SEMESTER
COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FRE 188B FRE 146 French for Science and Professional Student II C 2
MAT 304 MAT 321 Linear Algebra II C 3
MAT 308 MAT 324 Introduction to Mathematical Modeling C 3
ACS 320 ACS 320 Financial Mathematics C 3
ACS 321 ACS 321 Life and other Contingencies II C 3
MAT 321 STA 323 Operations Research E 3
MAT 311 STA 321 Statistical Inference E 3
MAT 312 STA 322 Regression Analysis E 3
INS 321 INS 321 Risk Management II E 3
FIN 320 FIN 320 Business Finance II E 2
  TOTAL UNITS OF COMPULSORY COURSES   14
  TOTAL UNITS OF ELECTIVE COURSES   14
400 LEVEL FIRST SEMESTER
  COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 418 STA 411 Design of Experiments C 3
MAT 419 STA 412 Stochastic Processes C 2
ACS 410 ACS 410 Actuarial Statistics and Mortality C 3
ACS 414 ACS 414 Life and Health Insurance C 2
ACS 413 ACS 413 Theory and Practices of Investment Analysis E 2
BUS 410 ACS 416 Business and Forecasting  Actuarial Techniques E 2
INS 410 ACS 412 Further Life and other Contingency I E 3
  MAT 418 Numerical Analysis III E 3
  TOTAL UNITS OF COMPULSORY COURSES   10
  TOTAL UNITS OF ELECTIVE COURSES   10
400 LEVEL SECOND SEMESTER
COURSE CODE (OLD)   COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 402 MAT 421 Lebesgue Measure C 3
MAT 421 STA 424 Operation Research II C 3
ACS 422 ACS 420 Pension and Social Insurance C 2
MAT 499 MAT 488 Project C 4
ACS 421 ACS 421 Pensions E 3
ACS 424 ACS 424 Actuarial Valuation of Liability E 3
ACS 425 ACS 425 Risk and Credibility Theory E 3
ECN 433 ECN 433 Advanced Econometrics E 2
  TOTAL UNITS OF COMPULSORY COURSES   12
  TOTAL UNITS OF ELECTIVE COURSES   11
Summary of units of compulsory and elective courses to be taken at each Level for B.Sc. (Hons) Industrial Mathematics (Mathematics and Actuarial Science Option)
First Semester Second Semester   Total Elective Unit
Level Units of compulsory courses Units of elective courses Units of compulsory courses Units of elective courses Total  
100 19 0 19 6 38 6
200 16 14 8 13 24 27
300 13 16 14 14 27 30
400 10 10 13 14 23 24
Grand Total Units Compulsory =114 112 87
                                                                          

B.Sc. STATISTICS DEGREE PROGRAMME

 

PHILOSOPHY

B.Sc. (Hons) programme in Statistics, is designed to generate in students an appreciation of the importance of Statistics in an industrial planning, economic planning, environmental and social planning.

The programme will also instill in students a sense of enthusiasm for Statistics, an appreciation of its application in different areas and to involve them in an intellectually stimulating and satisfying experience of learning and studying.

 

 

AIMS AND OBJECTIVES OF THE PROGRAMME

The aims and the objectives of Bachelor Honours Degree programme in Statistics should be:

(a) To instill in students a sense of enthusiasm for Statistics, an appreciation of its application in different areas and to involve them in an intellectually stimulating and satisfying experience of learning and studying.

 

(b) To provide students a broad and balanced foundation in statistics knowledge and practical skills in Statistics and Computer Science.

 

(c) To develop in students the ability to apply their statistics knowledge and skills to the solution of theoretical and practical problems in Statistics.

 

(d) To develop in students, through an education in statistics, a range of transferable skills of values in statistics related and non-statistics related employment.

 

(e) To provide students with knowledge and skills- base from which they can proceed to further studies in specialized areas of statistics or multi-disciplinary areas involving Statistics.

 

(f) To generate in students an appreciation of the importance of Statistics in an industrial planning, economic planning, environmental and social planning.

 

RATIONALE/JUSTIFICATION

Our mission is to train students to acquire mathematical knowledge and skills to the highest attainable level; produce for society, scientists with unmatched competencies in the fields of mathematical and cognate sciences, and who can help to imbue society with discipline and positive values which are ingredients that propel and sustain national development.

 

ADMISSION REQUIREMENTS

(i) Candidates for admission into the B.Sc. (Honours) degree in Statistics must possess 5 (five) senior school certificate examination (SSCE) or its equivalent O – level credit passes in English Language, Mathematics, Further Mathematics, Physics and any of Chemistry or Biology or Economics or Geography at one sitting.

 

(ii) The unified Tertiary Matriculation Examination (UTME) subjects are English,

Mathematics, Physics and any one of Chemistry or Economics or Geography.

 

(iii) Direct Entry candidates to 200 level must possess A – Level passes in Mathematics and one of Physics or Chemistry or Economics. In addition to O – level subjects indicated in (i) above, candidates with the same subjects as A-Level or its equivalence are also eligible.

.

GRADUATION REQUIREMENT(S)

 

UTME STUDENTS

For a student to graduate under a four-year B.Sc (Honours) degree programmes in Statistics, he or she MUST pass a minimum of 128 units including all compulsory courses for the programme.

DIRECT ENTRY STUDENTS

For a student to graduate under a three-year B.Sc. (Honours) degree programme in Statistics, he or she MUST pass a minimum of 96 units including all compulsory courses.

 

FOUR-YEAR DEGREE PROGRAMME IN STATISTICS: B.Sc. (Honours) IN STATISTICS

100 LEVEL FIRST SEMESTER
  COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS CORE UNITS
FSC 101 FSC 111 Introductory Biology C 3
FSC 102 FSC 112 Introductory Chemistry C 3
FSC 103 FSC 113 Introductory Computer Science C 3
FSC 104 FSC 114 Introductory Mathematics C 3
FSC 105 FSC 115 Introductory Physics C 3
GST 102 GST 102 Introduction to Logic and philosophy C 2
GST 105 GST 105 Use of English I C 2
  TOTAL UNITS  OF COMPULSORY COURSES 19
  TOTAL UNITS OF ELECTIVE COURSES 0
100 LEVEL SECOND SEMESTER
COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS CORE UNITS
MAT 101 MAT 121 Algebra & Coordinate Geometry C 3
MAT 102 MAT 122 Calculus C 3
MAT 103 MAT 123 Mechanics I C 3
MAT 104 STA 121 Statistics for Scientists C 3
GST 103 GST 103 Nigerian People and Cultures C 2
CSC 100 CSC 120 Computer as a Problem Solving Tool E 3
PHS 102 PHS 122 Introductory Physics III E 3
CHM 101 CHM 121 Introductory Chemistry II E 3
  TOTAL UNITS OF COMPULSORY COURSES   14
  TOTAL UNITS OF ELECTIVE COURSES   9
200 LEVEL FIRST SEMESTER
COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS CORE UNITS
MAT 201 MAT 211 Real Analysis I E 3
MAT 203 MAT 212 Abstract  Algebra I E 3
MAT 206 MAT 213 Mathematical Method I C 3
MAT 208 MAT 214 Mechanics II E 3
MAT 210 STA 211 Probability Theory I C 3
CSC 202 CSC 212 Introduction to Computer Programming C 3
GST 201 GST 201 General African Studies C 2
MAT 205 MAT 215  History of  Mathematics E 2
MAT 216 MAT 216 Numerical Analysis I E 3
MAT 217 STA 212 Introduction to Statistical Packages C 3
  TOTAL UNITS OF COMPULSORY COURSES   14
  TOTAL UNITS OF ELECTIVE COURSES   14
200 LEVEL SECOND SEMESTER
COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 202 MAT 221 Real Analysis II E 2
MAT 204 MAT 222 Linear Algebra I E 2
MAT 211 STA 221 Distribution Theory C 3
MAT 212 STA 222 Statistical Methods C 2
MAT 207 MAT 223 Mathematical Method II C 3
MAT 209 MAT 224 Mechanics III E 3
CSC 227 CSC 227 Introduction to Information Processing C 3
  TOTAL UNITS OF COMPULSORY COURSES   11
  TOTAL UNITS OF ELECTIVE COURSES   7
300 LEVEL FIRST SEMESTER
COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FSC 301 FSC 311 History and Philosophy of Science C 2
GST 307 GST 307 Entrepreneurship and Corporate Governance C 2
FRE 187B FRE 135 French for Science and Professional Student II C 2
MAT 301 MAT 311 Complex Analysis I E 3
MAT 302 MAT 312  Real Analysis III E 2
MAT 303 MAT 313 Abstract Algebra II E 3
MAT 313 STA 311 Non Parametric Analysis C 3
MAT 314 STA 312 Statistical Concept and Methods C 3
  STA 313 Demography I C 2
MAT 307 MAT 316 Mechanics IV E 3
MAT 310 MAT 314 Numerical Analysis II E 3
  TOTAL UNITS OF COMPULSORY COURSES 14
  TOTAL UNITS OF ELECTIVE COURSES 14
300 LEVEL SECOND SEMESTER
COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
FRE 188B FRE 146 Frenchfor Science and Professional Student  II C 2
MAT 304 MAT 321 Linear Algebra II E 2
MAT 308 MAT 324 Introduction to Mathematical Modelling E 3
MAT 311 STA 321 Statistical Inference C 3
MAT 312 STA 322 Regression Analysis C 3
MAT 321 STA 323 Operation Research I C 3
  STA 324 Probability Theory II C 2
MAT 305 MAT 322 Mathematical Method III E 3
MAT 307 MAT 329 Real Analysis IV E 2
MAT 315 MAT 325 Analytical Dynamics E 3
MAT 306 MAT 323 Vectors and Tensors E 3
MAT 318 MAT 327 History of Mathematics II E 2
  TOTAL UNITS OF COMPULSORY COURSES   13
  TOTAL UNITS OF ELECTIVE COURSES   18
400 LEVEL
COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 418 STA 411 Design of Experiments C 3
MAT 419 STA 412 Stochastic Processes C 2
MAT 422 STA 413 Data Analysis C 3
MAT 401 MAT 411 Functional Analysis I E 3
MAT 404 MAT 413 General Topology I E 3
MAT 408 MAT 414 Differential Equation I E 3
  STA 414 Demography II E 3
  STA 415 Educational Statistics E 3
  STA 416 Health Statistics E 3
  STA 417 Actuarial Statistics E 3
  TOTAL UNITS  OF COMPULSORY COURSES 8
  TOTAL UNITS    OF ELECTIVE COURSES 21
400 LEVEL SECOND SEMESTER
  COURSE CODE (OLD) COURSE CODE (NEW) COURSE TITLE STATUS C OR E UNITS
MAT 402 MAT 421 Lebesgue Measure and Integration C 3
MAT 420 STA 421 Sample Surveys C 2
MAT 424 STA 422 Probability Theory III C 3
MAT 499 STA 488 Project C 4
MAT 423 STA 423 Special Topics in Statistics E 3
MAT 421 STA 424 Operations Research II E 2
  STA 425 Bayesian Methods E 3
  STA 426 Medical Statistics E 3
  TOTAL UNITS OF COMPULSORY  COURSES   12
  TOTAL UNIT OF ELECTIVE COURSES   11
Summary of units compulsory and elective courses to be taken at each Level for B.Sc. (Hons.) STATISTICS
First Semester Second Semester   Total Unit of Elective
Level Units of compulsory courses Units of elective courses Units of compulsory courses Units of elective courses Total unit of compulsory course  
100 19 0 14 9 33 9
200 14 14 11 7 25 21
300 14 14 13 18 27 32
400 8 21 12 11 20 32
Grand Total = 105 94
       

SYNOPSES OF COURSES/ COURSE CONTENT FOR A FOUR-YEAR DEGREE PROGRAMME IN MATHEMATICS AND INDUSTRIAL MATHEMATICS

 

100 LEVEL

FSC 104: INTRODUCTORY MATHEMATICS                   3 Units

Elementary Set Theory: subsets, inclusion, union, intersection, complements, Venn diagrams. Real numbers: Natural numbers and Mathematical induction, Integers, Rational and Irrational numbers. Real sequences and Series. Theory of quadratic equations, Binomial Theorem.

Trigonometry: Circular measure, Trigonometric functions of angles of any magnitude, Trigonometric formulae. Polar and parametric equations

Complex Numbers: Algebra of Complex Numbers, Argand Diagram, De Moivre’s Theorem (n-th root of unity).

Coordinate Geometry: The straight line, elementary treatment of circles.

Introduction to Statistics: Descriptive Statistics, reading and interpretation of graphs, misleading graphs, Population and samples, elementary sampling methods. Use of appropriate software for analysis

 

MAT 101 (MAT 121): ALGEBRA, COORDINATE GEOMETRY        3 Units

Introduction to sets and maps, basic algebraic structures, polynomials, determinants and matrices. Solution oLf algebraic and transcendental equations. Elements of Coordinate Geometry: the straight line, conic sections: circles, parabola, ellipse, hyperbola, tangents and normals.

Trigonometry: Linear and angular speeds, graphs of circular functions, trigonometric identities, inverse circular functions and trigonometric equations, applications of trigonometry and vectors.

Use of appropriate software for analysis.

 

MAT 102 (MAT 122): CALCULUS                                        3 Units

Functions of real variables, graphs, limits and notion of continuity. Differentiation:  

Differentiation of algebraic functions, trigonometric functions, composites function and chain rule, higher order derivatives. Applications:  Rectilinear motion.  Tangents and normal, maximum and minimum, rate of change and curve sketching. Integration:  Integration as inverse of differentiation, definite integral, techniques of integration.  Application areas, volumes and moments of inertia.

 

MAT 103 (MAT 123): MECHANICS I                                    3 Units   

Vectors: Vector addition, subtraction, scalar multiplication, linear dependence, geometric representation of vectors in 1-3 dimensions, rectangular components, direction cosine. Scalar and vector product of two vectors, triple scalar and vector products. Applications.

Vector functions: Differentiation and integration.

Statics of a Particle: Force, parallel forces, couples, moments and application of vectors in statics. Friction, smooth bodies, tension and thrust, bodies in equilibrium (rough, horizontal and inclined planes). Centre of gravity.

Dynamics of a Particle: Speed, velocity and acceleration, rectilinear motion with uniform acceleration. Graphical methods. Vertical motion under gravity, motion down a smooth inclined plane, angular velocity relative motion.

 

200 LEVEL

MAT201 (MAT 211):  REAL ANALYSIS I          3 Units

Introduction: Axioms, theorems, lemma, corollary. The real number system: Upper bounds, lower bounds, maximum, minimum, least upper bound (supremum) and greatest lower bound (infimum), intervals and length of intervals. Limits: sum, products, quotient of limits. Sequences: convergence of sequences, Cauchy sequences, monotone sequences and their relationships. Continuity of function: continuous and uniform continuous function. Differentiability of functions, maxima and minima functions, Rolle’s, mean value, Cauchy mean value and Taylor’s Theorems with their applications.

Pre-requisite: MAT 101, FSC 104

 

MAT203 (MAT 212):  ABSTRACT ALGEBRA I             3 Units

Set Theory, Binary Operation on sets. Relations and Functions, Cardinality. Introduction to Number Theory. Groups, Subgroups, Cosets, Lagrange’s theorem, Homomorphism and Isomorphism of groups. Rings. Fields.  

Pre-requisite: MAT 101, FSC 104

 

MAT206 (MAT 213): MATHEMATICAL METHODS I                        3 Units

Further differentiation and integration. Maclaurin series, Taylor series (mean value theorems).  Functions of several variables:  Partial differentiation, function of a function, differentials exact differential, total derivative, change of variables, Jacobeans’ Taylor series in two variables.  Applications of partial derivatives to geometry, errors, extreme and the use of Lagrangian multipliers. Differential equations:  First order equations; Separable, homogeneous, exact, linear, Bernoulli and Ricatti equations.  Geometric and physical applications.  Exponential function, exponential growth and decay problems hyperbolic functions. “Evaluation of Line integrals.  multiple integrals”     

Pre-requisite: MAT 102   

 

MAT208 (MAT 214): MECHANICS II                                 3 Units

Newtonian mechanics: Force, momentum and laws of motion, different kinds of force

(Gravitational, reactions, tension, thrust). Force and motion: Equation of motion, motion on an

inclined plane, connected particles, Attwood’s machine. Work and Energy: Work, energy,

power, the work-energy principle, conversation of energy. Impulse and momentum: Impacts,

direct and oblique collision, impulsive tension. Projectiles: Range (on horizontal and inclined

planes) trajectory. Dynamics of a rigid body: Moment of inertia, radius of gyration, parallel axes

 and perpendicular axes theorems, kinetic energy of a body rotating about a fixed axis. Motion of

a body about fixed axis.  Angular momentum of a rigid body and principle of angular

momentum. The compound pendulum.

Pre-requisite: MAT 103

 

MAT205 (MAT 215): HISTORY OF MATHEMATICS  I                      2 Units

History of early Egyptian, Greek and Japanese Mathematics. Contribution of these

 mathematicians to the development of calculus.

 

MAT 216:  NUMERICAL ANALYSIS   I   3 Units

Finite difference operators Solution of nonlinear equations: bisection, regula-falsi, secant and Newton Raphson method. Error analysis. Finite difference operators. Interpolation Langrange, Newton divided difference, Newton Gregory forward and backward difference, numerical differentiation.

Pre-requisite: MAT 102   

 

MAT213 (MAT 217): PURE MATHEMATICS I                                   2 Units

Differential calculus: Differentiation of algebraic functions, trigonometric functions, composites function and chain rule, higher order derivatives. Integral calculus: Integration as inverse of differentiation, definite integral, techniques of integration. Application: Areas, volumes. Elementary differential equations: First order equations; Separable, homogeneous, exact, linear   physical application:  Exponential function, exponential growth and decay models.

 

MAT202 (MAT 221): REAL ANALYSIS II                                        2 Units

Introduction to summation notation and limits. Definite integral: Partition, norm of partition, Riemann sum. Riemann and Riemann-Stieltjes integrability and properties and relationship.  Improper integral and convergence. Test for convergence and divergence of series of non-negative terms: nth term test, Geometric series test, p-series test, integral test, comparison test, ratio test, root test, alternating series test, absolute and conditional convergence test.

Pre-requisite: MAT 201   

 

MAT204 (MAT 222): LINEAR ALGEBRA I                                                 3 Units

Vectors. Vector Spaces, Subspaces, Linear independence, Basis and Dimension. Matrices, Matrix algebra, Elementary Row Operations, Echelon matrices, Rank of a matrix, Application to Linear Equations. Determinants, Application to Systems of Linear Equations. Linear Mappings, Kernel and Image of a Linear Mapping, Matrix representation of Linear Operators, Change of Basis, Similarity. Use of appropriate software for analysis.

 

MAT207 (MAT 223): MATHEMATICAL METHODS II         3 Units

Laplace transform:  Transforms and their inverses convolution theorem. Fourier series:  Fourier coefficient and expansions, cosine and sine series, change of interval. Second order ordinary differential equations with constant coefficients. General theory of nth order linear differential equations.  Solution by Laplace transform method. Total differential equations. Partial differential equations:  Classification, Euler’s equation and its general solution. Application of ordinary and partial differential equations to physical, life and social sciences.

Pre-requisite: MAT 102  

MAT209 (MAT 224): MECHANICS III                                                            3 Units

Motion in 2-dimensions: Use of polar coordinates. Motion in a circle, the conical pendulum, the

governor. Constrained motion in a vertical circle and on a sphere. Simple Harmonic Motion.

Amplitude, period, frequency, the simple pendulum, elastic strings and springs, second

pendulum. Motion in a resisting medium: Vertical motion under gravity, with resistance proportional to speed and to square of  speed. Damped, harmonic motion, projectiles in resisting medium, variable mass motion. Dynamics of a rigid body: Product of inertia, principal axes. The momental ellipse, virtual work and D’Alembert’s principle.

Pre-requisite: MAT 103, MAT 208

 

MAT214 (MAT 225):  PURE MATHEMATICS II      2 Units

Functions of several variables:  Partial differentiation, function of a function, differentials exact

differential, total derivative, change of variables. Minima and maxima problems in several

variables.Descriptive Statistics: frequency distribution, table, mean, mode, median(group and ungroup data)  graphic representation of data: bar chart component bar chart , histogram and pie chart and ogive. Permutations and Combinations, finite sample space, definition of probability

finite sample spaces with examples. Basic Probability: probability of events, laws of probability, complements of an event, mutually exclusive events, addition law of probability, independent events, conditional probability and use of tree diagrams,

Pre-requisite: MAT 213

 

MAT 210(STA 211) Probability Theory I 3 Units

Combinatorial Analysis. Probability spaces. Discrete and continuous random variables. Moment generating functions. Chebyshev’s inequality.

 

MAT 211 (STA 221) Distribution Theory 3 Units

Expectations and the central limit theorem. Distribution of functional of random variables. Moment Generating functions. Chebyshev’s inequality.

 

MAT 212 (STA 222) Statistical Methods 2 Units

Elementary probability, random variables and independence, Experimental sampling from Normally Distributributed population. The comparison of two samples. Simple linear regression and correlation.

 

 

300 LEVEL

MAT301 (MAT 311): COMPLEX ANALYSIS I               3 Units

Complex numbers, functions of a complex variable, Analytical and Harmonic functions, conformal mapping connected with elementary functions. Cauchy’s integrals and applications, singular points of singled-valued analytic functions, Residues and their applications. Cauchy’s theorem and its consequences.  . Differentiation and complex derivatives. Cauchy-Riemann equations

Pre-requisite: MAT 201

 

 

MAT302 (MAT 312): REAL ANALYSIS III 3 Units

The Real number system and introduction to set logic:  Connectives, quantifier, validity of arguments, some methods of proof.  Extended real number system.  Topology of the real line: open and closed sets, interior, exterior, frontier, limit points and closure of a set. Sequences: convergence, monotone and Cauchy sequences and their relationships. Limit inferior and Limit superior criterion for convergence. Bolzano-Weierstrass theorem, Heine Borel’s theorem.  Enumerable and non-enumerable sets. Double limits: Double sequences and series. Limits, continuity and uniformly continuity of functions.  Riemann Stieltjes integrals for bounded functions.  Introduction to metric space topology.

Pre-requisite: MAT 201, MAT 202

 

MAT303 (MAT 313): ABSTRACT ALGEBRA II  3 Units

Sets and Mappings. Elementary Properties of Rings. Subrings and Homomorphisms. Ideals, Quotient Rings. Isomorphism Theorems and Direct Sums. Unique Factorization Domains, Principal Ideal Domain, Euclidian Domains. Introduction to field theory. Polynomial forms and polynomial functions over a ring. Euclidian Algorithm for Polynomials.

Pre-requisite: MAT 203

 

MAT310 (MAT 314): NUMERICAL ANALYSIS II 3 Units

 Solution of simultaneous equations: direct method, Gaussian elimination method, Gauss Jordan method and L.U. decomposition method. Iterative schemes, Gauss Seidel and Gauss Jacobi approximation. Curve fitting, least square method, orthogonal polynomials (Chebyshev and Legendry polynomials). Numerical integration: Simpson and trapezoidal rules, Newton Cote formula and Gaussian quadrature.   Initial value problems for ordinary differential equations.

 

MAT319 (MAT 315): REAL ANALYSIS IV                                          3 Units     

Limit: Continuity and differentiability of functions of several variables. Riemann-Stieltjes integration. Function of bounded variation. Uniform convergence: sufficient condition for uniform convergence. Sums, term by term differentiation and integration of series of functions. Power series. Uniform continuity, Weierstrass approximation theorem. Multiple integrals: Existence and evaluation by repeated integration. Change of variables. Line integral and Green’s theorems.

Pre-requisite: MAT 201, MAT 202

 

MAT307 (MAT 316): MECHANICS IV                                        3 Units     

The law of gravitation, Kepler’s Laws. Central orbits; momentum and energy equations, determination of the orbits, apses, critical velocity, stability of circular orbit. Moving frames of reference; rotating and translating frames, Coriolis force. Motion near the earth’s surface. The Foucault pendulum.

Pre-requisite: MAT 103, MAT 208

 

 

MAT304 (MAT 321): LINEAR ALGEBRA II                 3 Units

Eigenvalues, Eigenvectors, Diagonalization, Characteristic Polynomial, Minimal Polynomial, Cayley-Hamilton Theorem. Bilinear forms, Alternating and Symmetric forms, Quadratic forms, Real Symmetric Bilinear forms, Hermitian forms. Inner product spaces, Cauchy-Schwarz Inequality. Orthogonality, Orthonormal sets, Gram-Schmidt Orthogonalization process. Linear Functional and Adjoint Operators, Orthogonal and Unitary Matrices. Canonical forms, Triangular forms, Primary Decomposition, Jordan Canonical Forms. Use of appropriate software for analysis .

Pre-requisite: MAT 204

 

MAT305 (MAT 322): MATHEMATICAL METHODS III                     3 Units

Simple variable coefficient ordinary differential equation.  Series solutions of second order linear equations.  Hyper-geometric, Bessel and Legendre equations and functions.  Gamma and Beta functions Sturm-Liouville theory.  Generalized Fourier expansion.  Partial Differential Equations:Separation of variables, Fourier and Laplace transform technique.  Application to Laplace, wave and heat equations.

Pre-requisite: MAT 206, MAT 207

 

MAT306 (MAT 323): VECTORS AND TENSORS ANALYSIS             3 Units

Line law of multiple integral. Vector theory: Gradient, divergence and curl. Vector differentiation and applications. Vector line, surface and volume integral. Green’s, Stoke’s and divergence theorems. Gauss’s theorem. Curvilinear coordinates. Tensor analysis: Tensor algebra, transformation laws and Cartesian tensors

 

MAT308(MAT 324):INTRODUCTION TO MATHEMATICAL MODELLING 3 Units

Methodology of model building: identification formation and solution of problems, cause-effect diagrams. Equation types. Algebraic, ordinary differential, partial differential, integral and functional equations. Application of Mathematical models to biological, social and behavioural sciences

 

MAT315 (MAT 325): ANALYTICAL DYNAMICS          3 Units

Euler’s dynamical equation for motion of a rigid body. The symmetrical top processional motion. Degrees of freedom. Langrange’s equations for Holonomic and non-holonomic systems. Impulses. Small oscillation, Kinetic and potential energies, Normal coordinates, nodes of oscillation.

 

MAT316 (MAT 326): GEOMETRY I                                3 Units

Affine Geometry: Affine Spaces, Subspaces, Barycenter, Convexity, Convex hull, Affine Transformations. Euclidian Geometry: Planes, Points, Distances, Lines, Angles, Isometries; Shapes: Triangles, Circles, Polar Coordinates, Spheres, Spherical Coordinates; Conics: Cartesian and Polar Equations of ellipses, hyperbolas and parabolas. Curves and Surfaces: Vector Functions, Parametric Representation; Curves f(x,y) = 0, Tangents, Conics, Coordinates; Construction (plotting) of planar curves, Collinearity, Critical points, Branches.  

Projective Geometry: Projective Spaces, Linear Subspaces, Projective Transformations, Duality, the Dual Projective Space, Projective Collinearity.

 

MAT318 (MAT 327):  HISTORY OF MATHEMATICS II      2 Units

History of European Medieval mathematician from 500 AD and the development of plane pure geometry.

 

MAT 328: DISCRETE MATHEMATICS         2 Units

Groups and subgroups, group axioms, permutation groups, cosets, graphs, directed and undirected graphs, subgraphs, cycles, connectivity. Application (flow charts) and state transition graphs. Lattices and Boolean algebra. Finite fields, mini polynomials, irreducible polynomials, polynomial roots, applications (error correcting codes, sequence generators).

 

 

400 LEVEL

MAT 401 (MAT 411): FUNCTIONAL ANALYSIS I          3 Units

Some selected spaces: Vector, linear subspaces, quotient, topological, metric, normed, Banach Spaces.  

Metric Space:Open and closed Sets, convergence of Sequence and Cauchy Sequence in a metric space, complete metric space. Continuous function on a metric Space. Open maps: homeomorphism and Isometry, connected and compact spaces.Normed Linear Spaces, Holder’s and Minkowski’s inequalities. Norm of quotient spaces. Linear operators.  The Hahn-Banach extension theorem and its consequences. Dual spaces, open mapping and closed graph theorems. Banach Contraction Principle and applications to differential equations.

Pre-requisite: MAT 201,  MAT 302   

 

 

MAT 403 (MAT 412): GROUP THEORY                                    3 Units

Groups, Subgroups, Homomorphisms, Cosets, Lagrange’s theorem, Normal subgroups, Quotient groups, Correspondence theorem, Isomorphism Theorems. Direct Products, Commutative groups. Cyclic groups, Permutation groups, Conjugacy classes of Sn and An, Simplicity of alternating groups. Automorphisms of groups, characteristic subgroups. Solvable groups and Jordan-Holder Theorem. Group Actions: Cauchy’s Theorem, p-groups, Sylow Theorems and Applications,

 

MAT 404 (MAT 413): GENERAL TOPOLOGY I                                   3 Units

Set theory, Relations, Cardinals and ordinals, Zorn’s lemma, transfinite induction and recursion. Topological spaces, Bases and Sub-Bases. Convergence, Filters, Directed Sets, Limits, Sequences. Continuity, Homeomorphisms. Separation Axioms. Compactness. Connectedness. Topology of Metric Spaces, Metrizable Topological Spaces.

Pre-requisite: MAT 203

 

MAT 408 (MAT 414): DIFFERENTIAL EQUATION III             3 Units

Existence theorems. Linear equation of second order. Solutions nearing singular points. Linear equation of the second order with periodic coefficients. Floquet’s theorem.

 

MAT 409 (MAT 415): FLUID MECHANICS I       3 Units

Real and ideal fluid. Differentiation following the motion of fluids particles, Equation of continuity. Equation of motion for incompressible in viscid fluids. Velocity potential and Stokes’s stream function. Bernoulli’s equation with applications. Kinetic energy. Sources, sinks, doublets in 2 and 3 dimensions stream lines. Images. Use of conformal transformation.

 

MAT 411 (MAT 416): MAGNETIC FLUID MECHANICS         3 Units

Maxwell’s electromagnetic equations. Alfven’s theorem. The magnetic energy. Laminar

 motion. Magneto hydrodynamic waves.

 

MAT 431 (MAT 418): NUMERICAL ANALYSIS III                  3 Units

Existence of Solution: One step schemes and theory of convergence and stability. Linear Multistep methods. Development, theory of convergence and stability. Extrapolation processes. Integral equation and boundary value problems (shooting method).  

 

MAT 407 (MAT 419): NUMBER THEORY                        3 Units

Divisibility: Euclidian Algorithm and Greatest Common Divisor, Unique factorization theorem, Least Common Multiple.

Congruence: Elementary properties, Euler’s function, Fermat’s little theorem, Wilson’s theorem, the Chinese remainder theorem.

Quadratic residues: Euler’s criterion, the Jacobi symbol, Gauss lemma, the Law of quadratic reciprocity. Arithmetic functions: Multiplicative arithmetic functions, perfect numbers, Morbius inversion formula. Simple continued fraction: Infinite continued fractions, Irrational numbers,

approximation to irrational numbers. Diophantine equations: Linear Diophantine equations, Pythagorean Triples, Pell’s equation.

Pre-requisite: MAT 203, MAT 303

 

MAT 402 (MAT 421):  LEBESGUE MEASURE AND INTEGRATION    3 Units

Lebesgue measure: Inner and outer measure. Measurable and non-measurable sets, length of set. Measurable subsets of the real line. Borel sets, Vitali’s covering theorem, Cantor set.  Measurable functions: Egorov’s theorem, Baire’s class. Lebsgue Integral for bounded, as a limit of sum, non-negative and for unbounded functions, Geometric interpretation of Lebsgue Integral.  Relationship of Riemann and Lebesgue integral.  The dominated convergence theorem for infinite series, Fatou’s theorem, Monotone convergence theorem. The Lebesgue integral for arbitrary function. Introduction to Lp (E)- spaces for measurable subsets E of the real line.

Pre-requisite: MAT 201, MAT 202

 

MAT 426 (MAT 422): COMPLEX ANALYSIS II         3 Units

Elementary and multi-valued functions. Infinite products, entire and meromorphic functions, Cauchy-type integrals, Riemann surfaces.  Complex series and sequence.  Laurent theorem.   Canonical products. Integral formulae of Poisson and Schawz Lemma, singularities of many valued character. Elliptic function: Irreducible poles and zeros of an elliptic function. Weierstrass’ elliptic function. Conformal mappings involving the use of elliptic functions. Further application of residues.

Pre-requisite: MAT 301

 

MAT 427 (MAT 423): GALOIS THEORY                                    3 Units

Polynomial Rings, Gauss’s Lemma, Eisenstein’s Irreducibility Criterion. Field Extensions, Automorphisms, Simple extensions, Finite extensions, the Tower Law. Algebraic Field Extensions, minimum polynomial, Algebraic Closure. Ruler and Compass Constructions. Splitting Fields. Normal Extensions. Separable Extensions. Finite Fields. The Primitive Element Theorem, the Galois Group of a Field Extension. The Galois correspondence. Quadratic, Cubic and Quartic Polynomials. The Galois group of a polynomial. Solvability by radicals.

Pre-requisite: MAT 203, 303

MAT 405 (MAT 424): ALGEBRAIC TOPOLOGY   I                 3 Units

Two-dimensional manifolds. Fundamental Group. Browder fixed point theorem in dimension 2. Free groups and free product of groups. Covering Spaces.

MAT 410 (MAT 425):  FLUID MECHANICS II 3 Units

Governing equations of viscous flow, exact solutions, low Reynold’s number solutions, Boundary layers, Compressible flows.

MAT 412 (MAT 426): ELASTICITY AND PLASMA DYNAMICS          3 Units

Analysis of stress and strain, the elastic solid, Saint-Venant Principle. Generalized Hooke’s law.

Two dimensional elasticity. Dynamics of plasma, motion of a changed particle in a uniform

 magnetic field. The physical basis of relativity theory and its mathematical aids. The relativity

electrodynamics of empty space, relativistic particle kinematic and dynamics.

MAT 429 (MAT 427): HISTORY OF MATHEMATICS III   3 Units

History of European Mathematics from 1500 AD – 1700 and the Development of non-Euclidean

and modern geometry.

MAT 415 (MAT 428): ELECTROMAGNETIC THEORY         3 Units

Review of vector-field theory, review of electric field theory. The magneto static field, equation of electromagnetic field, radiation.

 

MAT 416 (MAT 429): QUANTUM MECHANICS                       3 Units

Dirac formulation of Quantum Mechanics. Angular momentum, identical particles and spin, selection rules.

 

MAT 425 (MAT 441): FUNCTIONAL ANALYSIS II                 3 Units

Inner product spaces. Complete Orthonormal sets and relationship with Fourier series. Introduction to Banach Algebra.

 

MAT 428 (MAT 442): GENERAL TOPOLOGY II                     3 Units

Product and Quotient Spaces. Compactness and Local Compactness, Tychonoff’s Theorem, Compacification, Lebesgue’s Covering Lemma, Paracompactness. Complete Metric Spaces and Function Spaces. Baire Category Theorem.

 

MAT 432 (MAT443):NUMERICAL ANALYSIS IV                  3 Units

Solutions of difference equations. The solution concept of difference equation. Approximation of the solution of PDE, Classification PDE. The approximation of derivatives by finite difference.

A simple parabolic differential equations. The explicit form of the difference equation and its convergence. Stability and consistency. The Crank Nicolson method. Introduction to finite element method; Variational formulations. Engineers’ point of view of finite element methods.    

Boundary condition. Weighted residual methods. The Galerkin method.

 

MAT 406 (MAT 444): DIFFERENTIAL GEOMETRY                           3 Units

Curves in R3, Arclength, Curvature, Torsion, Frenet-Serret Equations. Surfaces in Space, Parametrized surfaces, First and Second Fundamental Forms, Gauss and Codazzi equations, Gauss curvature, minimal surfaces, Euler’s Theorem. Geometry of Surfaces, Geodesics, Gauss-Bonnet Theorem, Hyperbolic Geometry. Manifolds, Fibers, Tangent and cotangent Bundles

MAT 499:  PROJECT  4 Units

The student chooses a topic of interest under the supervision of a Lecturer. There will in general not be formal lectures. The student consults the supervisor as often as necessary. At the end of the course, the student submits a written report on the topic and gives a talk before a departmental evaluation board.

SYNOPSES OF COURSES/ COURSE CONTENT FOR A FOUR-YEAR DEGREE PROGRAMME IN STATISTICS

 

100 LEVEL

MAT 104 Statistics for Sciences

Introduction to probability.   Binomial, Poisson and normal distribution.  Test of significance based on the normal distribution.  Goodness of fit tests.  Regression and correlation.  Some basic sampling

Techniques.

 

200 LEVEL

 

MAT 217 (STA 212): INTRODUCTION TO STATISTICAL PACKAGES       3 Units

Uses of computers in statistical computing. Introduction to package. Word,  Spread Sheets, SYSTAT, D-Base, C-stat, MINITAB,  SPSS. Use of BASIC and FORTRAN programmes in solving problems.

 

MAT 213 (MAT 217): PURE MATHEMATICS I             `     2 Units

Differential calculus: Differentiation of algebraic functions, trigonometric functions, composites function and chain rule, higher order derivatives. Integral calculus: Integration as inverse of differentiation, definite integral, techniques of integration. Application: Areas, volumes. Elementary differential equations: First order equations; Separable, homogeneous, exact, linear   physical application:  Exponential function, exponential growth and decay models.

 

MAT 214 :  PURE MATHEMATICS II      2 Units

Functions of several variables:  Partial differentiation, function of a function, differentials exact

differential, total derivative, change of variables. Minima and maxima problems in several

variables.Descriptive Statistics: frequency distribution, table, mean, mode, median(group and ungroup data)  graphic representation of data: bar chart component bar chart , histogram and pie chart and ogive. Permutations and Combinations, finite sample space, definition of probability

finite sample spaces with examples. Basic Probability: probability of events, laws of probability, complements of an event, mutually exclusive events, addition law of probability, independent events, conditional probability and use of tree diagrams,

 

300LEVEL

MAT 313 (STA 311): NON-PARAMETRIC STATISTICS                                3 Units

Review of parametric test. Sign test. Wilcoxon signed-rank test, median test. Mann-Whitney test. Kruskal- Wallis test, Spearman’s Rank Correlation. Serial correlation. Test based on runs.

 

MAT314 (STA 312): STATISTICAL CONCEPTS AND METHODS 3 Units

Vectors and random variables. Sum, product and quotient of random variables. Binomial proportions. Correlation coefficients. Estimation by confidence interval and tests of hypothesis. Simple and multiple linear regression. Analysis of variance and covariance (one way, two way and Latin square).

 

STA 313:DEMOGRAPHY I                                                                                    3 Units

Types and sources of demographic data. Methods of collection of Population censuses, sample surveys and vital registration. Evaluation of the quality of demographic data. Measures of fertility, mortality, nuptiality and migration. Standardization and    Decomposition. Life tables: construction and application. Framework for developing demographic information systems.

 

MAT 317 (STA 314): STATISTICS FOR BIOLOGISTS 3 Units

Introduction to probability. Binomial, Poisson and normal distribution. Test of significance based on the normal distribution. Goodness of fit tests. Regression and correlation. Some basic sampling techniques.

 

MAT 311 (STA 321): STATISTICAL INFERENCE                 3 Units  

Estimation: Methods of Estimation (Moments, maximum likelihood, least squares), Properties of Estimators (Consistency, unbiasedness, efficiency, sufficiency, completeness, BLUE, UMVUE). Construction of confidence interval. Tests of Hypothesis: Definitions and Fisherian concepts of hypothesis testing. Newman-Pearson Lemma. Likelihood Ratio Test. Equivalency of confidence interval and hypothesis testing in decision-making under uncertainty

 

MAT 312 (STA 322): REGRESSION ANALYSIS 2 Units

Introduction. Mathematical model in simple linear regression (Y=B0+B1X+e). Methods of fitting linear regression; eye-fitting method; method of least squares (LS) Assumptions of LS. Predictor: Y=B0+B1X. Model violations and remedies. Residuals. Tests of hypothesis of regression parameters. General theory of least squares. Matrix approach to linear regression. Application of statistical packages (SPSS and R) to regression Introduction to multiple linear regression correlation analysis.

 

MAT 321 (STA 323): OPERATIONS RESEARCH I  3 Units

Nature and scope of operations research. Linear programming and graphical, simplex (including big M and two-phase) methods. Sensitivity analysis. Duality theory. Transportation and assignment problems. Network analysis: CPM and PERT. Inventory theory and applications. Sequencing and scheduling.

 

STA 324: PROBABILITY THEORY II                                                                        2 Units

Discrete sample spaces. Definitions and rules of probability. Independence Bayes’ theorem. Sampling with and without replacement. Inclusion-exclusion theorem. Allocation and matching problems. Probability generating function. Bernoulli  trials, Binomial, Poisson, Hypergeometric negative binomial and multinomial  distribution, Poisson process.

 

400 LEVEL

MAT 418 (STA 411): DESIGN OF EXPERIMENTS       3 Units

Comparative experiments with two variables and paired comparison. General principles of controlled experimentation. Randomization. Blocking with one to two variables. Factorial designs. Fractional factorials and confounding. Blocking in surfaces. Balanced incomplete block design. Analysis of covariance. Multiple comparison of means, Regression approach to analysis of variance.

 

MAT 419 (STA 412):STOCHASTIC PROCESSES                                                   2 Units

Random processes. Random walk (unrestricted and restricted). Gamblers ruin problem. Markov processes in discrete and continuous time. Poisson, branching, birth and death processes. Queuing processes:  M/M/I, M/M/s, M/a/I queues and their waiting time distributions. Introduction to Markov Chain Monte Carlo (MCMC) methods.

 

MAT422 (STA 413): DATA ANALYSIS 3 Units

A review of statistical methods for data analysis. Regression and ANOVA, statistical inference. Exploratory data analysis including graphicals: histogram, stem and leaf and box plot. Robust methods and resistant statistics. Analysis of discrete data. Use of ststistical pakages in data analysis.

 

STA 414: DEMOGRAPHY II                                                                          3 Units

Estimating fertility, mortality and nuptiality from limited and defective data. Stationary, stable and quasi-stable population models: theory and applications.  Multiple decrement life tables.  Population projections: mathematical models, component methods and matrix analysis.  Path analysis and multiple classification analysis.

 

STA 415: EDUCATIONAL STATISTICS                                                       3 Units

Scope, nature and uses of educational statistics.  Sources and methods of collection of educational statistics.  Educational indicators, Design of education information systems, Education flow models and performance evaluation, Multivariate methods in educational analysis, operations research in educational management.

 

STA 416: HEALTH STATISTICS                                                                  3 Units

Scope and types of health statistics.  Classification of disease; injuries and causes of death.  Sources and methods of collecting health statistics; census, sample surveys, vital registration and administrative statistics.  Health indicators: types, uses and problems. Health systems.  Health planning and financing. Health information systems.  Operations research in the health services.

 

STA 417: ACTUARIAL STATISTICS                                                           3 Units

The time value of money; compound interest and discounting; present values and Accumulated values of streams of payments.  Decremental rates and other indices; Annuities and sinking funds; solving equations of value; Investment and Appraisal Techniques; Analysis of experiments data and derivation of exposed to risk formulae.  Graduation methods (and their applications to curve fitting).  Construction of mortality, sickness, multiple decrements and similar tables with applications to life insurance. National social security and pension schemes.

 

MAT 420 (STA 421):SAMPLE SURVEYS 2 Units

Simple random sample. Sampling of attributes, Stratified and cluster sampling. Sample size estimation. Ratio and Regression estimators in simple random sampling and stratified sampling. Systematic and multi stage sampling. Errors in sample survey.

 

 

STA 422: PROBABILITY THEORY III            3 Units                  

Set and inverse set functions. Sigma fields, measurable spaces and measures. Lesbesgue measure as (sigma)- finite measure. Counting measures. Limit of measures of monotone sets. Fatous lemma, probability spaces. Conditional probability and independence. Distribution of random variables as measurable functions. Product spaces; Products of measurable spaces. Distribution function Integration with arbitrary measures. Extensions to expectations of probability measures. Random Nikodyn theorem and probability density functions. Multivariate distributions Convergence of random variables: Weak convergence almost everywhere, convergence in path mean. Central limit theorems, laws of large numbers. Characteristic function and Inversion  formula.

MAT 423 (STA 423): SPECIAL TOPICS IN STATISTICS                   3 Units

A survey of tools in applied statistics with emphasis on time series methods, Biostatistics. Quality control and statistical pakages.

 

MAT421 (STA 424): OPERATIONS RESEARCH II                              3 Units

Integer programme problem: formulations and solution methods. Non – linear Programming: search methods Newtons-raphson method, Frit-John optimality conditions and Lagrangian multipliers. Network analysis. Transportation and assignment problems. Path methods including Bellman’s equations, cyclic and network with positive paths.  Dynamic programming: routine of problems, resource allocation and equipment replacement.

 

STA 425: BAYESIAN METHODS              3 Units

Bayes Theorem, Prior and posterior distributions. Conjugate prior distributions. Choice of prior distribution. Simple non-informative prior distributions. Entropies and decomposition analysis. Principles of decision-making. Roles of uncertainty, utility functions and their properties.  Bayesian strategy; Minimax strategies. Theory of games. Use of MCMC in Bayesian Analysis.

 

STA 426: MEDICAL STATISTICS                                                                3 Units

Scope and nature of medical statistics.  Epidemiology methods: relative risks and odds ratios, adjustment of data with and without use of multivariate models, cohort studies (life tables).  Competing risks, survival analysis.  Sequential  methods in clinical trials.  Stochastic models epidemiology.

 

STA 427:  INTRODUCTION TO COMBINATORICS                    3 Units

Combinations and permutations, Pigeonhole principle, generating permutations and combinations,  Binomial coefficients, Inclusion-exclusion, recurrence relations and generating functions, Stirling numbers, Polya counting theory, introduction to design theory, introduction to graph theory. Use of appropriate software for analysis.

 

STA 499: PROJECT                                                                                             4 Units

The student undertakes a course of reading under the supervision of a Lecturer. There will in general not be formal lectures. The student consults the supervisor as often as necessary. At the end of the course, the student submits a written report on the topic and gives a talk before a departmental evaluation board.