Bachelor of Science in Mathematics with Computing

The program aims at producing graduates with a solid mastery of mathematics and computer skills so as to enable them to venture into the demanding and dynamic field of research, training and innovation.

EXPECTED LEARNING OUTCOMES
The expected learning outcomes of the programme
By the end of this programme, the graduates should be able to:
a)   Apply fundamental concepts in computational mathematics to solve real-world problems.
b)   Advance computational skills in mathematical analysis.
c)   Contribute in the formulation of concepts and theories in the field of computational mathematics.

Expected learning outcomes of the specializations
a)   Statistics with Computing
By the end of this specialization, the graduate should be able to:
i)   Apply statistical skills to problem solving using current statistical packages.
ii)   Advance computational skills in mathematical analysis.
iii)   Contribute in the formulation of concepts and theories in the field of statistics and computing.
iv) Undertake further study and research in Statistics.

b)   Applied Mathematics with Computing
By the end of this specialization, the graduate should be able to:
i)   Apply fundamental concepts in computational mathematics as a basis for advanced mathematical computing.
ii)   Advance computational skills in applied mathematical analysis.
iii)   Contribute in the formulation of concepts and theories in mathematic computing.
iv)   Undertake further study and research in applied mathematics.

c)   Pure Mathematics with Computing
By the end of this specialization, the graduate should be able to:
i)   Apply fundamental concepts in computational mathematics as a basis for advanced mathematical computing.
ii)   Advance computational skills in pure mathematical analysis.
iii)   Contribute in the formulation of concepts and theories in the field of pure mathematics.
iv)   Undertake further study and research in pure mathematics.

Admission Requirements
Candidates willing to join the University must obtain a minimum mean grade of C+ (plus) in Kenya Certificate of Secondary Education (KCSE) and at least C+ (plus) in Mathematics.

COURSES OF THE PROGRAMME
Year 1, Semester 1

S/No	Unit Title	Unit Code	Contact Hours
Common Courses
1	Communication Skills	CCS 001	45
2	HIV/AIDS	CCS 010	45
Core Units
3	Basic Mathematics	SMA 101	45
4	Analytic Geometry	SMA 102	45
5	Differential Calculus	SMA 103	45
6	Introduction to Computer Systems	CSC 111	45
7	Introduction to Programming	CSC 112	45

Year 1, Semester 2

S/No	Unit Title	Unit Code	Contact Hours
Common Courses
1	Elements of Economics	CCS 009	45
Core Units
2	Integral Calculus	SMA 104	45
3	Basis of Probability & Statistics	SMA 105	45
4	Discrete Mathematics	SMA 106	45
5	Classical Mechanics	SMA 107	45
6	Programming & Problem Solving	CSC 121	45
7	Database Systems	CSC 122	45

Year 2, Semester 1

S/No	Unit Title	Unit Code	Contact Hours
Core Units
1	Applied Calculus	SMA 201	45
2	Basis of Linear Algebra	SMA 202	45
3	Intermediate Probability & Statistics	SMA 203	45
4	Applied Geometry	SMA 204	45
5	Basis of Algebra	SMA 205	45
6	Data Structures & Algorithms	CSC 211	45
7	System Analysis & Design	CSC 212	45

Year 2, Semester 2

S/No	Unit Title	Unit Code	Contact Hours
Core Units
1	Algebraic structures	SMA 206	45
2	Vector Analysis	SMA 207	45
3	Number Theory	SMA 208	45
4	Applied Probability & Statistics	SMA 209	45
5	Mechanical Waves	SMA 210	45
6	Object-Oriented Analysis & Design	CSC 221	45
7	Operating Systems	CSC 223	45

Year 3, Semester 1

S/No	Unit Title	Unit Code	Contact Hours
Core Units
1	Basis of Complex Analysis	SMA 301	45
2	Foundations of Real Analysis	SMA 302	45
3	Operations Research	SMA 303	45
4	Analysis & Design of Algorithms	CSC 311	45
Specializations Pure Mathematics Option
5	Algebra	SMA 304	45
6	Basis of Group Theory	SMA 305	45
Applied Mathematics Option
5	Introduction to Partial Differential Equations	SMA 306	45
6	Basis of Fluid Mechanics	SMA 307	45
Statistics Option
5	Tests of Hypothesis	SMA 308	45
6	Measure and Probability	SMA 309	45

Year 3, Semester 2

S/No	Unit Title	Unit Code	Contact Hours
Core Units
1	Introduction to Numerical Analysis	SMA 310	45
2	Intermediate Linear Algebra	SMA 311	45
3	Ordinary Differential Equations	SMA 312	45
4	Computer Networks	CSC 225	45
Specializations Pure Mathematics Option
5	Ring Theory	SMA 313	45
6	Real Analysis	SMA 314	45
Applied Mathematics Option
5	Analytical Applied Mathematics	SMA 315	45
6	Intermediate Fluid Mechanics	SMA 316	45
Statistics Option
5	Theory of estimation	SMA 317	45
6	Statistical modelling	SMA 318	45

Year 4, Semester 1

S/No	Unit Title	Unit Code	Contact Hours
Core Units
1	Research Project	SMA 401	90
2	Artificial Intelligence	CSC 312	45
Specializations Pure Mathematics Option
3	Functional Analysis	SMA 402	45
4	Introduction to Topology	SMA 403	45
5	Introduction to Field Theory	SMA 404	45
6	Differential Geometry	SMA 405	45
Applied Mathematics Option
3	Differential Geometry	SMA 405	45
4	Partial Differential Equations	SMA 406	45
5	Methods of Applied Mathematics	SMA 407	45
6	Simulation and Modeling	SMA 408	45
Statistics Option
3	Design and Analysis of Experiments	SMA 409	45
4	Regression Modelling	SMA 410	45
5	Stochastic Processes	SMA 411	45
6	Quality Control and Sampling	SMA 412	45

Year 4, Semester 2

S/No	Unit Title	Unit Code	Contact Hours
Core Units
1	Automata Theory	CSC 222	45
Specializations Pure Mathematics Option
2	Measure Theory	SMA 413	45
3	Field Theory	SMA 414	45
4	Topology	SMA 415	45
5	Complex Analysis	SMA 416	45
Applied Mathematics Option
2	Complex Analysis	SMA 416	45
3	Numerical Analysis	SMA 417	45
4	Applied Linear Algebra	SMA 418	45
5	Applied Fluid Mechanics	SMA 419	45
Statistics Option
2	Time Series Analysis	SMA 420	45
3	Design and Analysis of Sample Surveys	SMA 421	45
4	Non-Parametric Methods	SMA 422	45
5	Multivariate Methods	SMA 423	45
All Specializations
6	Industrial Attachment	SMA 424	90

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