Mathematics Business: Course outlines-I
The equation of a line, parallel and perpendicular
lines. Solving pairs of simultaneous equations using
elimination, substitution and graphical methods.
Define probability, use sample space diagrams to
help calculate probabilities. Combining probabilities
and using tree diagrams. (Knowledge of conditional
probability is not expected in this module).
Quadratic Equations, inequalities and Remainder Theorem
Quadratic Functions: Factorising, completing the
square and using the quadratic formula.
Remainder Theorem: Simple algebraic division; use
of the factor theorem and the remainder theorem.
Graphs of quadratic and cubic functions.
Geometrical interpretation of algebraic solutions of
Inequalities: Manipulating inequalities, solving linear
and quadratic equations and inequalities.
Binomial Expansions, Sequences and Series
Binomial expansions: Pascal’s triangle, factorials,
binomial expansion (positive integer powers,
binomial coefficient notation, evaluation of specific
Sequences and series: Sequences, series, sigma
notation. Finite Arithmetic Progressions (AP) and
series including sum. Geometric Progressions (GP)
and series including sum. Convergence and
divergence of geometric series.
Indices, Exponential and Logarithmic Functions
Laws of Indices for all rational exponents.
Exponential function: Exponential function and its
graph, introduction to rates of growth, solution of
equations involving exponential functions.
Logarithmic function: Rules and manipulation of
logarithms, logarithmic function and its graph,
relationship between exponential/logarithm
functions, solution of equations involving either
exponential or logarithmic functions.
Angles (degree/radian measure). Trigonometric
ratios, trigonometric functions (sine, cosine, tangent)
and their graphs.