Applied Mathematics Foundation

• • 1. Introduction and Expected Prior Knowledge
  • • Description of course structure
  • • Expected prior knowledge
  • • Resources
  • 2. Set Theory
  • • Concepts and notation
  • • Venn diagrams
  • 3. Linear Algebra
  • • Linear equations, graphs, and functions
  • • Systems of linear equations
  • • Matrices
  • 4. Trigonometry
  • • Review of geometry
  • • Right angle trigonometry
  • • Cosine and sine rules
  • • Unit circle
  • • Symmetry and exact values
  • • Trigonometric functions and equations
  • 5. Logarithms and Exponentials
  • • Index and logarithm laws
  • • Exponential and logarithmic equations
  • 6. Sequences and Series
  • • Definitions and notation
  • • Arithmetic sequences and series
  • • Geometric sequences and series
  • 7. Probability
  • • Calculating probabilities
  • • Independent and dependent events
  • • Conditional probability
  • • Probability tables
  • • Permutations and combinations
  • 8. Statistics
  • • Collecting and presenting data
  • • Averages
  • • Standard deviation, variance, and correlation
  • • Normal distribution

No eligibility requirements

Additional requirements

No additional requirements

Mathematics, equipped with the powerful tools logic and reasoning, is the key ingredient that enriches all areas of education. A sound knowledge in mathematics not only opens up numerous carrier options, but also helps to understand the world in which one operates. The subject aims to provide the necessary basic knowledge that is essential to undertake tertiary studies, which require pre-tertiary background in mathematics and statistics. A brief look at basic concepts and notation of sets will lead us to the study of linear algebra and systems of linear equations related to graphs of linear functions. We will then study algebra with indices, logarithms and trigonometry. The concept of sequences and series will be introduced through arithmetic and geometric progressions. The subject will conclude with studies of probability and statistics. We look at dependent and independent events, conditional probability and probability tables. We will also discuss permutations and combinations. Finally, we will investigate collecting data, presenting categorical and discrete data, data distributions and correlations between variables.

• Mid-semester Exam: Must receive a passing grade of 50% on this test. However, if a student receives a grade of 30-49%, they will be eligible to attempt another test, of which they must attain a passing grade of 50% (10%)
• Final Exam (40%)
• Six written assignments (50%)

Current study term: 10 Jul 22 to 16 Oct 22