18 NQF credits at level 5
Course co-ordinator(s): Dr R Martin
Entrance requirements: The normal minimum requirement is a pass in Mathematics with an achievement rating of at least 4 for students with a National Senior Certificate, or a pass in Mathematics at the Higher Grade, or at least an A symbol at the Standard Grade, for students who matriculated with a Senior Certificate, or at least an E symbol at A-level. Students who have not reached a satisfactory level (to be defined at the beginning of the course) at the end of the first quarter will have their provisional registration for MAM1004F cancelled, but will be allowed to decant to MAM1004S at the beginning of the second quarter. (Students who have been admitted to MAM1004F without a background of Higher Grade Mathematics are expected to make up the difference between the syllabuses for themselves.)
Course outline: The course provides mathematics for applications, particularly in the Life and Earth sciences. Syllabus: 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. Newton's Method. Taylor Polynomials. Antiderivatives and integrals. Mathematical modelling. Separable and linear differential equations.
Tutorials: One per week, Monday or Wednesday, 14h00-16h00.
DP requirements: Minimum of 30% in class tests, and at least 80% attendance at tutorials.
Assessment: Year mark counts up to 40%; one no longer than 3-hour paper written in June makes up the balance.