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Calculus I · COD course 2231

M2231 Calculus I

Limits, derivatives, applications of derivatives, and integrals

7 chapters 237 lessons Guided notes for every video
Chapters

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Chapter 1

Review Topics for Calculus

A review of commonly forgotten algebra topics for calculus students

4 sections
Chapter 2

Limits and Continuity

An overview of limits, one-sided limits, the formal definition of a limit, limits at infinity, infinite limits, asymptotes, and continuity

8 sections
Chapter 3

Derivatives

An overview of the limit definition of the derivative, what the derivative means, applications to physics, derivative rules, implicit differentiation, and related rates

12 sections
Chapter 4

Applications of Derivatives

An exploration of monotonic functions, intervals of concavity, extrema, inflection points, graphing, L'Hopitals' rule, and optimization

9 sections
Chapter 5

Integration

Estimating area with rectangles, Riemann sums, definite integrals, substitution for definite integrals, and the Fundamental Theorem of Calculus

7 sections
Chapter 7

Logarithms and Differential Equations

Defining the logarithm as an integral, exponential growth and decay, separable equations, and hyperbolic functions

3 sections

Study Series

A study series with summary videos and practice problem sets to help students prepare for calculus exams, mirroring the Study With Me page on the website

5 sections