**Prepared by:** Özlem Tastan Bishop (Adopted from Rhodes University, one-year MSc programme quality assurance (QA) manuals, https://rubi.ru.ac.za/ )

**Module name:** Mathematics for Biologists

**Contact hours** (to be used as a guide)**:** Total (*40* hrs), Theory (*40*%), Practical (*60*%)

**SPECIFIC OUTCOMES ADDRESSED**

On completion of this module, students should be able to:

- Describe biological/bioinformatics problems using mathematics (e.g.
*Differential equation problems*: analysis of bacterial growth, diffusion of drug in blood;*Matrix problem:*Secondary infection analysis;*Eigenvalue – eigenvector problem:*Construction of Hessian matrix and normal mode analysis) - Solve these problems using Calculus (Differentiation and Integration), Linear Algebra.
- Acquire background for Matlab and Statistics courses (if applicable as the next course to attend)

**BACKGROUND KNOWLEDGE REQUIRED**

**H3ABioNet bioinformatics modules as pre-requisites: **None

**Additional:** Basic Calculus, Algebra, Linear Algebra, Protein Structure

**BOOKS AND OTHER SOURCES USED**

- Lecture notes of lecturer
- Any Calculus, Linear Algebra books

**COURSE CONTENT**

**1. Theory lectures and practicals**

*Practical components follow the theory lectures on specified topics*

- Calculus (Differentiation and integration)
- Linear Algebra (Matrices, eigenvalue / eigenvector problems)
- Applications of eigenvalue and eigenvector problems to normal mode analysis
- Construction of Hessian Matrix
- Matrix Decomposition to obtain eigenvectors and eigenvalues of each mode

**ASSESSMENT ACTIVITIES AND THEIR WEIGHTS**

Assignments (*30*% weight)

Test (*70*% weight)