Department of Mathematics
MATH123 - Mathematics
123
Unit Syllabus
Algebra:
- Basic algebra: the real numbers, arithmetic,
expansion and factorization.
- Introduction to matrices, application
to linear equations.
- Recurrence equations.
- Indices and logarithms.
- Polynomial equations.
- Inequalities and absolute values.
- Arithmetic and geometric progressions.
Applications.
- Elementary counting techniques: permutations
and combinations.
- Introduction to complex numbers.
Calculus:
- Functions and graphs. Lines, gradients
and intercepts.
- Introduction to differentiation, sum
and product rules.
- Tangents and normals.
- Chain rule.
- Derivatives of pseudopolynomials.
- Derivatives of exponential and logarithmic
functions.
- Second derivatives, maximum and minimum
values of functions.
- Applications of differentiation.
- Newton's method.
- Integration as antidifferentiation,
integration by linear substitution.
- Definite integrals, areas.
- Simple differential equations.
- Numerical integration, Simpson's Rule.
