FOURYEAR 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 
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:
 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:
 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:
 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:
 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 ALevel or its equivalence are also eligible.
GRADUATION REQUIREMENT
UTME STUDENTS
For a candidate to graduate under a fouryear 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 threeyear 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
FOURYEAR DEGREE PROGRAMME IN INDUSTRIAL MATHEMATICS: B.Sc. (Hons) IN INDUSTRIAL MATHEMATICS
 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 409  MAT 415  Fluid Mechanics I  C  3  
MAT 411  MAT 416  Magnetic Fluid Mechanics  C  3  
MAT 431  MAT 418  Numerical Analysis III  C  3  
MAT 418  STA 411  Design of Experiments  E  3  
MAT 419  STA 412  Stochastic Processes  E  2  
MAT 401  MAT 411  Functional Analysis I  E  3  
MAT 429  MAT 416  Quantum Mechanics  E  3  
MAT 417  Electromagnetic Theory  E  3  
CSC 421  CSC 416  Software Project Management  E  3  
TOTAL UNITS OF  COMPULSORY COURSES  9  
TOTAL UNITS OF  ELECTIVE 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 
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 
 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 
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 
 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 
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 
 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 
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 nonstatistics 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 multidisciplinary 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 ALevel or its equivalence are also eligible.
.
GRADUATION REQUIREMENT(S)
UTME STUDENTS
For a student to graduate under a fouryear 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 threeyear B.Sc. (Honours) degree programme in Statistics, he or she MUST pass a minimum of 96 units including all compulsory courses.
FOURYEAR 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 
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 FOURYEAR 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 (nth 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 13 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.
Prerequisite: 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.
Prerequisite: 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”
Prerequisite: 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 workenergy 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.
Prerequisite: 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, regulafalsi, secant and Newton Raphson method. Error analysis. Finite difference operators. Interpolation Langrange, Newton divided difference, Newton Gregory forward and backward difference, numerical differentiation.
Prerequisite: 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 RiemannStieltjes integrability and properties and relationship. Improper integral and convergence. Test for convergence and divergence of series of nonnegative terms: nth term test, Geometric series test, pseries test, integral test, comparison test, ratio test, root test, alternating series test, absolute and conditional convergence test.
Prerequisite: 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.
Prerequisite: MAT 102
MAT209 (MAT 224): MECHANICS III 3 Units
Motion in 2dimensions: 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.
Prerequisite: 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,
Prerequisite: 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 singledvalued analytic functions, Residues and their applications. Cauchy’s theorem and its consequences. . Differentiation and complex derivatives. CauchyRiemann equations
Prerequisite: 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. BolzanoWeierstrass theorem, Heine Borel’s theorem. Enumerable and nonenumerable 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.
Prerequisite: 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.
Prerequisite: 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. RiemannStieltjes 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.
Prerequisite: 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.
Prerequisite: MAT 103, MAT 208
MAT304 (MAT 321): LINEAR ALGEBRA II 3 Units
Eigenvalues, Eigenvectors, Diagonalization, Characteristic Polynomial, Minimal Polynomial, CayleyHamilton Theorem. Bilinear forms, Alternating and Symmetric forms, Quadratic forms, Real Symmetric Bilinear forms, Hermitian forms. Inner product spaces, CauchySchwarz Inequality. Orthogonality, Orthonormal sets, GramSchmidt 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 .
Prerequisite: MAT 204
MAT305 (MAT 322): MATHEMATICAL METHODS III 3 Units
Simple variable coefficient ordinary differential equation. Series solutions of second order linear equations. Hypergeometric, Bessel and Legendre equations and functions. Gamma and Beta functions SturmLiouville theory. Generalized Fourier expansion. Partial Differential Equations:Separation of variables, Fourier and Laplace transform technique. Application to Laplace, wave and heat equations.
Prerequisite: 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, causeeffect 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 nonholonomic 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 HahnBanach extension theorem and its consequences. Dual spaces, open mapping and closed graph theorems. Banach Contraction Principle and applications to differential equations.
Prerequisite: 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 S_{n} and A_{n}, Simplicity of alternating groups. Automorphisms of groups, characteristic subgroups. Solvable groups and JordanHolder Theorem. Group Actions: Cauchy’s Theorem, pgroups, 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 SubBases. Convergence, Filters, Directed Sets, Limits, Sequences. Continuity, Homeomorphisms. Separation Axioms. Compactness. Connectedness. Topology of Metric Spaces, Metrizable Topological Spaces.
Prerequisite: 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.
Prerequisite: MAT 203, MAT 303
MAT 402 (MAT 421): LEBESGUE MEASURE AND INTEGRATION 3 Units
Lebesgue measure: Inner and outer measure. Measurable and nonmeasurable 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, nonnegative 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 L^{p }(E) spaces for measurable subsets E of the real line.
Prerequisite: MAT 201, MAT 202
MAT 426 (MAT 422): COMPLEX ANALYSIS II 3 Units
Elementary and multivalued functions. Infinite products, entire and meromorphic functions, Cauchytype 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.
Prerequisite: 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.
Prerequisite: MAT 203, 303
MAT 405 (MAT 424): ALGEBRAIC TOPOLOGY I 3 Units
Twodimensional 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, SaintVenant 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 nonEuclidean
and modern geometry.
MAT 415 (MAT 428): ELECTROMAGNETIC THEORY 3 Units
Review of vectorfield 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 R^{3}, Arclength, Curvature, Torsion, FrenetSerret 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, GaussBonnet 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 FOURYEAR 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, DBase, Cstat, 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): NONPARAMETRIC STATISTICS 3 Units
Review of parametric test. Sign test. Wilcoxon signedrank test, median test. MannWhitney 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. NewmanPearson Lemma. Likelihood Ratio Test. Equivalency of confidence interval and hypothesis testing in decisionmaking under uncertainty
MAT 312 (STA 322): REGRESSION ANALYSIS 2 Units
Introduction. Mathematical model in simple linear regression (Y=B_{0}+B_{1}X+e). Methods of fitting linear regression; eyefitting method; method of least squares (LS) Assumptions of LS. Predictor: Y=B_{0}+B_{1}X. 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 twophase) 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. Inclusionexclusion 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 quasistable 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 Newtonsraphson method, FritJohn 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 noninformative prior distributions. Entropies and decomposition analysis. Principles of decisionmaking. 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, Inclusionexclusion, 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.