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Assessment

College Foundations: Calculus I Preparation

Categories: College Foundations
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About Course

College Foundations: Calculus I Preparation is a 12-week, self-paced course with 13 lessons and 12 practice quizzes, one for each weekly topic. Topics include Change and the language of limits; Basic differentiation rules; Increasing, decreasing and curvature; Fundamental theorem and substitution. It introduces the main ideas of a typical first-year college course; it is preparation only and does not award college credit. Quiz answers are written responses reviewed by a person, not scored automatically.

Course Content

Week 01: Change and the language of limits

  • Change and the language of limits
  • Practice check: Change and the language of limits

Week 02: Evaluating limits and continuity

Week 03: The derivative from first principles

Week 04: Basic differentiation rules

Week 05: Product, quotient and chain rules

Week 06: Exponential, logarithmic and trigonometric derivatives

Week 07: Implicit differentiation and related rates

Week 08: Increasing, decreasing and curvature

Week 09: Optimization on a domain

Week 10: Antiderivatives and definite integrals

Week 11: Fundamental theorem and substitution

Week 12: Integrated rate and accumulation study