Calculus

Module III

Materials go up as we reach each lecture. See the Schedule for dates and assessments.

Practice problems for this module, collected: Problems (PDF) Solutions (PDF)

Module notes covering this whole module:

Calculus Notes Log and Exponential Functions Notes

Lecture 8: Limits and the Derivative

Topics: Limit definition of a derivative; limits

Textbook references: 6.2–6.4

Slides Slides (PDF) Practice problems

Lecture 9: Continuity and Rules of Differentiation

Topics: Continuity; rules of differentiation

Textbook references: 6.7, 7.1–7.3

Slides Slides (PDF) Worksheet: Rules of Differentiation Practice problems

Lecture 10: Exponential and Log Functions

Topics: Exponential and log functions

Textbook references: 10.5

Slides Slides (PDF) Worksheet: Exponential and Log Functions Practice problems

Lecture 11: Partial Derivatives and Total Differentials

Topics: Partial derivatives; total differential and derivative

Textbook references: 7.4, 8.1, 8.2, 8.4

Slides Slides (PDF) Practice problems

Lecture 12: Implicit Functions

Topics: Implicit function theorem

Textbook references: 8.5

Slides Slides (PDF) Practice problems

Lecture 13: Integration

Topics: Integration

Textbook references: 14.1–14.3

Slides Slides (PDF) Worksheet: Integration Practice problems