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Course Description
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Course Name
Mathematics 1A for Engineers
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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
Calculus
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Language Level
Taught In English
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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
Hours & Credits
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Overview
This course provides an introduction to differential and integral calculus, and topics include: Functions, limits and continuity. Rational functions, the natural exponential and logarithm functions. Radian measure and the Trigonometric functions. The rules of differentiation. Curve sketching. Applications of the mean value theorem. Rates of change and optimization involving functions of a single variable. L'Hospital's rules, indeterminate forms and the squeeze theorem. Anti-differentiation. Finite series, permutations, combinations and the binomial theorem. The definite integral and the fundamental theorem of calculus. The substitution rule.
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.