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Course Description
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Course Name
Mathematics 1004
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Host University
University of Cape Town
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Location
Cape Town, South Africa
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Area of Study
Mathematics
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Language Level
Taught In English
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Prerequisites
Course entry requirements: The normal minimum requirement is a pass in Mathematics with at least 70% for students with a NSC, or at least an E symbol at A-level. Students who fail MAM1004F are usually expected to register for MAM1004S in the 2nd semester.
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Course Level Recommendations
Lower
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
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Host University Units
18 -
Recommended U.S. Semester Credits3
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Recommended U.S. Quarter Units4 - 5
Hours & Credits
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Overview
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. Newton's Method. Taylor Polynomials. Antiderivatives and integrals. Mathematical modelling. Separable and linear differential equations.
Course Disclaimer
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.