MAM1004F - Mathematics 1004

18 credits at NQF level 5

Entry Requirements:

At least 70% in NSC Mathematics. Students registered in other faculties who do not meet the 70% NSC requirement may instead complete MAM1014F followed 158 1015S with a mark of 70% or higher to gain entry to MAM1004F and MAM1004S. Students who fail MAM1004F are expected to register for MAM1004S in the 2nd semester.

Course Outline:

The aim of this course is to provide mathematics for applications, particularly in the Life and Earth sciences. The syllabus covers the following topics: Functions and graphs. Straight lines, power functions, polynomials, exponential and logarithmic functions, trigonometric functions (radians). Discrete-time dynamical systems. Stability and equilibria. Rates of change. Limits, derivatives. Maxima and minima. Concavity. Asymptotes and curve sketching. Antiderivatives and integrals. Mathematical modelling. Separable and linear differential equations.