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Nelson Mandela University Mathematics Department | Applied Mathematics

 

Unveiling the world through math

Applied mathematics is like a Swiss Army knife for science. It tackles real-world challenges in fields as diverse as finance, engineering, biology, and medicine. To master this powerful discipline, students build a versatile toolbox of mathematical methods and techniques.

During their undergraduate studies, students will focus on two main areas:

  • Mathematical Modeling: This is where the magic happens. We transform real-world scenarios into equations to make predictions or gain deeper insights. Imagine figuring out the movement of a falling object with an equation, or using math functions to model how populations grow.
  • Computational Mathematics: Here, computers become our allies. We use their power to solve complex math problems and analyse massive datasets. This combines math theory, clever problem-solving steps (algorithms), and computer science to crack problems that would be impossible by hand.

Succeeding in applied mathematics requires a well-rounded approach:

  • Strong foundation in pure mathematics: This is the core language of applied math. Just like you need grammar to write well, you need pure math to solve complex problems.
  • Scientific programming skills: Just like a mechanic needs tools, applied mathematicians need to know how to use computers to solve problems and analyse data.
  • More than just maths:  Understanding physics helps translate real-world problems about forces, motion, and energy into math models. Similarly, biology knowledge is crucial for modeling things like population changes or disease outbreaks. Depending on what you modelling will determine what addiitonal skills you require. For the fundamentals physics often pops up.

By combining these elements, applied mathematics equips students to not just solve problems, but to truly understand the world around them.

 

Undergraduate Degrees in which you can major in Applied Mathematics:

Please note if you planning on majoring in Applied Mathematics you are required to have 30 credits at first year level, 40 credits at second year level and 60 credits at third year level. In other words you need all the modules listed below for first to third year.

 

Possible Careers

While job titles might not always say "applied mathematician," graduates leverage their skills in a wide range of exciting fields. Students wondering what kind of career they can have with a degree in applied mathematics should take a look at this brochure by the Society for Industrial and Applied Mathematics (SIAM).

 

Research

Our department contributes to research in areas that align with the diverse applications of applied mathematics, including:

  • Machine Learning and Evolutionary Algorithms
  • Mathematical Biology
  • Numerical Analysis and Scientific Computing
  • Optimisation and Control Theory
  • Mathematics Education

 

Coursework

First Year

MAPV101 Graph Theory

MAPV111 Mathematical Modelling

MAPV102 Mechanics

MAPV112 Numerical Methods I

Note : All Applied Mathematics students are required to complete an introductory scientific programming course currently hosted in WRSC111, and both first year Pure Mathematics modules in their first year.

Second Year

MAPV201 Differential Equations

MAPV211 Numerical Methods II

MAPV202 Transform Theory

MAPV222 Linear Optimization

Third Year

MAPV301 Partial Differential Equations

MAPV311 Finite Difference Methods

MAPV302 Nonlinear Optimization

MAPV312 Dynamical Systems

Honours

MAPM411 Finite Element Methods

MAPM412 Numerical Linear Algebra

MAPM413 Graph Theory

MAPM414 Continuum Mechanics

MAPM415 Mathematical Control Theory

MAPM417 Capita Selecta

MAPM421 Biomathematics

Undergrad Qualifications

More Info

Postgrad Qualifications

More Info

For further inquiries please don't hesitate to contact us at maths@mandela.ac.za