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Welcome to the Department of Mathematics & Statistics

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