Department of Mathematics
MATH130 - Mathematics
IE
Unit Syllabus
Algebra:
- Basic algebra: the real numbers, arithmetic,
expansion and factorization.
- Introduction to matrices, application
to linear equations.
- Trigonometry: trigonometric functions
and identities.
- Indices and logarithms.
- Polynomial equations.
- Inequalities and absolute values.
- Arithmetic and geometric progressions.
- Elementary counting techniques: permutations
and combinations.
- Introduction to complex numbers.
Calculus:
- Functions and graphs. Lines, gradients
and intercepts.
- Introduction to differentiation, arithmetic
of derivatives.
- Chain rule, implicit differentiation.
- Derivatives of pseudopolynomials and
rational functions.
- Derivatives of trigonometric, exponential
and logarithmic functions.
- Second derivatives, maximum and minimum
values of functions.
- Applications of differentiation.
- Newton's method.
- Integration as antidifferentiation,
integration by substitution.
- Definite integrals, areas and volumes
of revolution.
