My university career went as follows:

• 01/2006 - 06/2008 - Master of Science, with distinction (Biomedical Informatics)
• 02/2005 - 12/2005 - Bachelor of Science Honours, with distinction (Applied Mathematics)
• 02/2002 - 12/2004 - Bachelor of Science, with distinction (Computer Science, Applied Mathematics, Physics)

I received first-place medals in 2005 for Applied Mathematics, in 2004 for Physics I & II and Applied Mathematics, in 2003 for Applied Mathematics, Electromagnetism, and 2nd-semester Computer Science, and in 2002 for Applied Mathematics.

I also made the UCT news a few times:

• UCT Monday Paper: Computer Boffins off to Mexico (2006) (deputy coach for the IOI team)
• UCT Monday Paper: High achievers collect quiver of credits (2005) (academic achievements)
• UCT Monday Paper: Computer boffs train younsters (2003) (competing in the IOI)

And authored a couple of journal publications:

• Poulter GL, Rubin DL, Altman RB and Seoighe C: MScanner: a classifier for retrieving Medline citations. BMC Bioinformatics 2008 9:108.
• Witten G, Poulter GL: Simulations of infectious diseases on networks. Computers in Biology and Medicine 2006, 37:195-205.

M.Sc. Bioinformatics

Master of Science by dissertation at University of Cape Town, 2006-2008, but I took some elective classes:

• Representations and Algorithms for Computational Molecular Biology (Apr-Jun 2006, taught by Professor Russ Altman of Stanford University, via the Stanford Center for Professional Development)
  • Smith-Waterman sequence alignment
  • K-Means clustering and K-nearest neighbour algorithms
  • Molecular dynamics simulation of a protein
  • Bayesian classifier that learns the features of calcium binding sites.
• Intermediate Statistics for Biomedical Research, taught by Prof. Michael Walker of Stanford University (Dec 2007)

B.Sc. Hons Applied Mathematics

Courses taken at University of Cape Town in 2005. For each class I've given a sample of 3-5 core topics.

Applied Mathematics

Advanced Mathematical Physics A

• Singular perturbation expansions
• Adiabatic approximations
• Topological solitons
• Vortices in ferromagnets
• Grob-Pitaevski, Maxwell and Chern-Simons vortices

Advanced Mathematical Physics B

• Inverse Scattering Transform for the non-linear Schrodinger, KdV and sine-Gordon
• The Riemann problem
• Applications to solitons of the principle of chiral fields
• Applications of solitons to two-dimensional Toda lattices

Mechanical Engineering

Continuum Mechanics

• Tensor algebra and analysis
• Deformation, strain, elasticity, stress
• Viscous Newtonian fluids and Navier-Stokes

Physics

Quantum Mechanics

• Hilbert spaces & Schrodinger's Equation
• Pauli, Dirac and Klein-Gordon equations
• Relativistic corrections to the hydrogen atom
• Zeeman and Stark effects

Statistics

Operations Research A & B

• Linear & integer programming
• Call center simulations & queueing
• Memoryless processes

Decision Modelling

• Decision trees
• Criteria weighting methods
• Utility curves & expected utility

Non-linear optimisation

• Gradient descent
• Quadratic programming
• Karush-Kuhn-Tucker equations

Electronic Engineering

Digtal Signal Processing

• Discrete Time Fourier Transform
• Z-Transform
• Filter design

Radar Signal Processing

• Analytic representation and sampling of signals
• Linear radar system model
• Transmit pulse waveforms

Image Processing

• Multidimensional signal processing
• Image formation in digital and optical systems
• Edge detection methods

Electronic Circuits

• Diode and Zener junctions
• Bipolar Junction Transistors
• Miller's theorem & feedback
• Darlington and cascode connections
• Current mirrors

Operational Amplifiers

• Frequency dependence and Bode plots
• Slew rate, bias current, offset voltage
• Project: Voltage Controlled Oscillator
• Filters and s-domain analysis

B.Sc. Third Year

Courses at University of Cape Town in 2004. Sampled topics from the classes.

Advanced Physics I (98%)

• Electromagnetism
  • Maxwell's equations & EM Waves
  • Fresnel relations
  • Absorption and dispersion
  • Gauge transformations
  • Dipole radiation
  • Relativistic electrodynamics.
  • Power radiation by a point charge
• Thermal Physics
  • Ensembles and entropy
  • Boltzmann distribution
  • Helmholtz free energy, chemical potential and Gibbs distribution
  • Fermi-Dirac and Bose-Einstein statistics (quantum and classical systems)
• Computational Physics
  • Numerical Methods
  • Motion in classical mechanics
  • Problems in quantum mechanics
  • Monte carlo techniques

Advanced Physics II (94%)

• Atomic Physics
  • The hydrogen atom & fine structure
  • Atomic & molecular structure and spectra
• Nuclear and Particle Physics
  • Bound state of the deuteron
  • Nuclear shell model
  • Decay modes
  • Nucleosynthesis in stars
  • Quarks and leptons
  • Symmetries and gauge forces.
• Solid State Physics
  • Crystal structure
  • Lattice vibrations
  • Electron states in solids
  • Energy band theory
  • Semiconductor physics and devices.

Applied Mathematics (96%)

Mathematical Physics

• Fourier transform solutions
• Long-term asymptotic solutions
• Methods of Laplace, stationary phase and steepest descents
• The method of characteristics
• Dissipation, dispersion and nonlinearity
• Travelling fronts of the KPP equation
• Korteweg-De Vries and Nonlinear Schrodinger solitons
• Elliptic integrals and elliptic functions
• Sine-Gordon equation, kinks and breathers
• Reaction-diffusion equations.

Non-linear dynamics

• Fixed points, bifurcations and phase portraits
• Conservative and reversible systems
• Index theory and Poincare-Bendixson theorem
• Relaxation oscillators
• Chaos on a strange attractor
• Lorentz, logistic, Henon maps
• Quasi-periodicity and Poincare maps
• Lyapunov exponents
• Fractals

Advanced Numerical Methods

• ODE boundary value problems (Shooting, Newton-Kantorovich methods)
• Spline interpolations
• Differential eigenvalue problems
• Numerical solution of PDE's by finite differences
• Split step, spectral and pseudo-spectral methods
• Finite elements

General Relativity

• Christoffel relations
• Geodesics and curvature
• The Riemann tensor
• Energy-momentum tensor in electrodynamics and fluid dynamics
• Principles of equivalence
• Einstein's field equations
• Black holes and derivation of the Schwarzchild solution

Computer Science

Operating Systems and Networks (88%)

• Operating Systems
  • Process management
  • Memory & storage management
  • Protection and security
• Networks
  • Media (electronic, optical and radio)
  • General protocols at layers 2-4 of the ISO Reference Model
  • Design and function of specific mobile networks and their protocols
  • Practical assignment: TFTP server and client

Information Management and Theory of Algorithms (87%)

• Information Management
  • Databases
  • Information retrieval
  • Practical assignment: Search engine, XML schema
• Theory of Algorithms
  • Problems and solutions in each algorithmic category
  • Algorithmic complexity and computability.

Compilers & Distributed Computing (92%)

• Compilers
  • Lexical analysis & parsing
  • Intermediate representations
  • Instruction selection
  • Register allocation
  • Practical assignment: Minijava compiler
• Distributed Computing
  • Mobile and wireless systems
  • Client-server architecture.

B.Sc. Second Year

Courses taken at University of Cape Town in 2003. Only high-level topics given.

Applied Mathematics (99%)

• Vector Analysis
• Ordinary Differential Equations
• Boundary Value Problems
• Mathematical Modelling

Pure Mathematics (89%)

• Sets and Logic
• Linear Algebra
• Real Analysis
• Applied Algebra (number theory and group theory)

Computer Science IIA (88%)

• Data Structures
• C++
• Software Engineering

Computer Science IIB (88%)

• Architecture
• Human-Computer Interaction
• Project: 3D Voronoi diagrams and Delaunay triangulations

Physics IIA (98%)

• Electromagnetism
• Properties of matter

Physics IIB (94%)

• Classical Mechanics
• Quantum Mechanics

B.Sc. First Year

Courses taken at University of Cape Town in 2002. Only class headings given.

Applied Mathematics IA (96%)

• Matlab
• Numerical methods
• Dynamical systems

Applied Mathematics IB (98%)

• Dynamics and orbital dynamics

Pure Mathematics I (90%)

• Differential and integral calculus
• Matrices
• Vector algebra
• Complex numbers
• Taylor series

Computer Science IA (94%)

• Intro Java
• Databases
• Algorithms
• Boolean algebra

Computer Science IB (89%)

• Intro algorithms in Java
• MIPS assembler

Physics IA (88%)

• Mechanics
• Electricity and Magnetism

Physics IB (94%)

• Waves
• Properties of matter
• Thermal physics
• Modern physics

Thinking About Business (70%)

(85% on coursework & essays)

• Reasoning and argumentation
• Ethics and business ethics

Statistics I (87%)

• Descriptive measures
• Probability
• Distributions
• Hypothesis testing
• Correlation
• Regression