This module is aimed at students who are taking their second course in calculus and have taken prior calculus courses that included differentiation.
The following is a list of the specific topics this module covers.
- Fundamental Theorem of Integral Calculus:
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Definition, sums, limits, area under the curve.
- Definite Integrals:
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Simple area problems.
- Indefinite Integrals:
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Simple motion problems.
- Simple Techniques of Integration:
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u-Substitution method, trigonometric functions, logarithmic functions, exponential functions.
- Advanced Techniques of Integration:
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Integration by parts, partial fractions, trigonometric substitution.
- Polar Coordinates:
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Polar curves, intersection of polar curves, area under polar curves.
- Other Topics:
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Improper integrals, introduction to infinite series, l'Hopital's rule.
- Questions: 1,000 practice questions with explained solutions.
Pre-requisites for this Module
This module requires prior knowledge on differentiation such as that contained in the Calculus I module .
This module is a pre-requisite for the Calculus III module on multi-variate calculus.