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## Calculus 143

 Modulekode WTW 143 Kwalifikasie Undergraduate Fakulteit Faculty of Natural and Agricultural Sciences Module-inhoud Functions: exponential and logarithmic functions, natural exponential and logarithmic functions, exponential and logarithmic laws, exponential and logarithmic equations, compound interest. Limits: concept of a limit, finding limits numerically and graphically, finding limits algebraically, limit laws without proofs, squeeze theorem without proof, one-sided limits, infinite limits, limits at infinity, vertical, horizontal and slant asymptotes, substitution rule, continuity, laws for continuity without proofs. Differentiation: average and instantaneous change, definition of derivative, differentiation rules without proofs, derivatives of polynomials, chain rule for differentiation, derivatives of trigonometric, exponential and logarithmic functions, applications of differentiation: extreme values, critical numbers, monotone functions, first derivative test, optimisation. Modulekrediete 8.00 NQF Level 05 Programme Service modules Faculty of Engineering, Built Environment and Information TechnologyFaculty of EducationFaculty of Economic and Management Sciences Prerequisites BSc Extended programme and BEd programmes: WTW 135. BCom Extended programme students who wish to transfer to BCom Econometrics only: WTW 135 Contact time 1 tutorial per week, 3 lectures per week, Foundation Course Language of tuition Module is presented in English Department Mathematics and Applied Mathematics Period of presentation Semester 2

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