Mathematics for Biologists

H3ABioNet_high_res

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:

  1. 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)
  2. Solve these problems using Calculus (Differentiation and Integration), Linear Algebra.
  3. 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

  1. Lecture notes of lecturer
  2. Any Calculus, Linear Algebra books

COURSE CONTENT

1. Theory lectures and practicals

Practical components follow the theory lectures on specified topics

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

ASSESSMENT ACTIVITIES AND THEIR WEIGHTS

Assignments (30% weight)
Test (70% weight)

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