# Math 20A, Calculus for Science and Engineering I, Fall 2022

Instructors: Andrew Suk (Section B) and Daniel Kongsgaard (Section A).
Course Website: Canvas.
Textbook: Single Variable Calculus: Early Transcendentals (4th Edition), by Jon Rogawski, Colin Adams, and Robert Franzosa; published by Macmillan Learning.

## Schedule

Sept 23: Section 2.1: The limit idea.

Sept 26. Section 2.2, 2.3: Investigating limits, basic limit laws.
Sept 28. Section 2.4: Limits and Continuity.
Sept 30. Section 2.5: Indeterminate forms.

Oct 3. Section 2.6: The squeeze theorem.
Oct 5. Section 2.7, 2.8: Limits at inifinty, intermediate value theorem.
Oct 7. Section 3.1: Definition of the derivative.

Oct 10. Section 3.2: The derivative as a function.
Oct 12. Section 3.3: The product and quotient rules.
Oct 14. Section 3.4, 3.5: Rates of change, higher derivative.

Oct 17. Section 3.6: Trig functions.
Oct 19. Section 3.7: The chain rule.
Oct 21. Catch up and review. Exam I from 6-7pm.

Oct 24. Section 3.8: Implicit differentiation.
Oct 26. Section 3.9: Exponentials and logarithms.
Oct 28. Section 4.1: Linear approximation.

Oct 31. Section 4.2: Extreme values.
Nov 2. Section 4.3: Mean value theorem.
Nov 4. Section 4.4: Concavity.

Nov 7. Section 4.5: L'Hospital's rule.
Nov 9. Section 4.6: Graph sketching.
Nov 11. Veteran's Day (no class).

Nov 14. Section 4.7: Applied optimization.
Nov 16. Section 5.1: Computing area.
Nov 18. Catch up and review. Exam II from 6-7pm.

Nov 21. Section 5.2: Definite integrals.
Nov 23. Section 5.3: Indefinite integrals.
Nov 25. No class (Thanksgiving vacation).

Nov 28. Section 5.4: The fundamental theorem of calculus I.
Nov 30. Section 5.5: The fundamental theorem of calculus II.
Dec 2. Catch up and review.

Dec 3. Final exam from 11:30am-2:30pm.