Calculus I
Topics for Calculus I: functions, graphs, limits, continuity,
derivatives and antiderivatives of algebraic and transcendental functions;
techniques of differentiation; applications of derivatives, polynomial
approximation; L'Hopital's rule; applied maximum and minimum problems;
the definite integral, the fundamental theorem of calculus, the substitution rule.
Prerequisite: MATH 162.
A collection of challenge and examination problems in Calculus I may be found
here
| Material | Format |
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| Guidelines Summer I 2008 |
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| Syllabus |
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| Some Past Exams |
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| Online Final Exam |
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Topical resources:
| Document | Format |
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| Limits and Rates of Change | |
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| Derivatives | |
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| Applications of Differentiation | |
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| Integrals | |
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Calculus II
Topics for Calculus II: review of antiderivatives,
definite integral and the substitution rule; applications of
the definite integral, techniques of integration, improper integrals,
applications of improper integrals; polar coordinates and parametric e
quations, conic sections; finite sums, summation formulas, induction,
infinite series, geometric progression, power series, convergence tests,
alternating series; Taylor and MacLaurin series. Prerequisite: MATH 166 or MATH 171.
A collection of challenge and examination problems in Calculus II may be found
here
| Material | Format |
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| Guidelines (Spring 2006) |
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| Syllabus |
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| Some Past Exams |
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| Online Final Exam |
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