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### Mathematical Physics II

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: 67 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; ISBN13 978-0-511-16842-0 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/

### Research Methodology

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.

### HUMAN RESOURCE MANAGEMENT

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

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