**P**

- Teacher: Rosemary Muange

- Teacher: Faith Chepkairor

1. Purpose of the Course
This is a second course in Mathematical Physics, and equip the students with more
mathematical skills required in other branches of physics. The course covers
complex numbers, tensors, multivariate calculus and Green’s function.
2. Course Objectives
At the end of the course, students should be able to:
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a) Achieve an understanding and appreciation of some mathematical techniques
which are widely used in theoretical physics;
b) Convey physical concepts with mathematical and computational tools and to
derive quantitative predictions from models;
c) Apply knowledge of phenomenological physics to solve problems in physics;
d) Effectively communicate scientific information in a mathematical format
3. Course Content
Functions of a complex variable: summary of complex algebra. Complex
differentiation and the Cauchy-Riemann equations. Complex integration and
Cauchy’s integral theorem. Cauchy’s integral formula. The Laurent series and
residue theorem. Applications of the residue theorem in the evaluation of integrals
and series.
Tensors: Coordinate transformation and definition of scalar and vector in terms of
the transformations. Definition of tensor and rank of a tensor. Definition of rank
zero (scalar), rank one (vector) and rank two (tensor). Tensor algebra-addition,
subtraction, contraction, direct product and the quotient rule. Axial and polar
vectors and extension to definition of pseudo-tensor.
Calculus of variations: The concept of variation leading to Euler’s equations for
one dependent and one independent variable. Generalizations to (i) more than one
independent variables, (ii) more than one dependent variables and (iii) more than
one of both independent and dependent variable. Constraints and Lagrangian
multipliers.
Green’s function: Definition and properties of Green’s function. Solution of
differential equations using Green’s function method. Introduction to Green’s
function in two and three dimensions.
4. Modes of Delivery: Lectures, Tutorials and discussion.
5. References:
a. K. F. Riley, M. P. Hobson and S. J. Bence (2006). Mathematical Methods for
Physics and Engineering (3rd Edition). Cambridge University Press; ISBN13 978-0-511-16842-0
b. Vaughn M. T. Introduction to Mathematical Physics. Wiley VCH; ISBN
978-3-527-40627-2
c. James Nearing. Mathematical Tools for Physics (Self Published eBook
www.physics.miami.edu/nearing/mathmethods/

- Teacher: Cosmas Ronno

**Purpose of the Course**

This course aims at equipping students with the necessary research tools that will enable them to solve problems at their work environment and society as a whole.

- Teacher: Zacharia Shitote

**Purpose:** The purpose of this course is
to equipping the learner with human
resource management practices in the organization set up.

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**Expected Learning Outcomes**

1. Explain how human resource management concepts can be applied in the work environment set-up.

2. Describe the role of human resource professionals in organizations.

3. Identify the challenges faced by managers of human resources and discuss measures of cubing the challenges

4. Discuss the role of human resource management in attracting and retaining the workforce

- Teacher: Christine Ngari