This module is aimed at students who are taking their first course in calculus and have taken prior mathematics courses that included algebra, trigonometry, and geometry.
The following is a list of the specific topics this module covers.
- Limits:
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Definition, continuity, basic theorems.
- Derivatives:
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Rate of change, position, velocity, acceleration.
- Rules of Differentiation:
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Chain rule, quotient rule, reciprocal rule, product rule, sums rule, scalar multiple rule, inverse rule.
- Graphing:
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Increasing function, decreasing function, maximum, minimum, convexity, point of inflection, cusp, vertical asymptote, horizontal asymptote.
- Optimization:
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Profit maximization, revenue maximization, cost minimization.
- Special Functions:
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Trigonometric functions, logarithmic functions, exponential functions, implicit differentiation.
- Questions: 1,000 practice questions with explained solutions.
Pre-requisites for this Module
This module requires prior knowledge of algebra and geometry.
This module is a pre-requisite for the Calculus II module on integration.