Math 20A, Calculus for Science and Engineering I, Summer 2024

Instructor: Andrew Suk.
Course Website: Canvas.
Syllabus: here (Please read carefully).
Textbook: Single Variable Calculus: Early Transcendentals (4th Edition), by Jon Rogawski, Colin Adams, and Robert Franzosa; published by Macmillan Learning.

Schedule

August 5. Section 2.1: The limit idea. Section 2.2, 2.3: Investigating limits, basic limit laws.
August 7. Section 2.4: Limits and Continuity. Section 2.5: Indeterminate forms.
August 9. Section 2.6: The squeeze theorem. Section 2.7, 2.8: Limits at inifinty, intermediate value theorem.

August 12. Section 3.1: Definition of the derivative. Section 3.2: The derivative as a function.
August 14. Section 3.3: The product and quotient rules. Catch up and review.
August 15. Exam I
August 16. Section 3.4: Rates of change, higher derivatives. Section 3.6: Trig functions.

August 19. Section 3.7: The chain rule. Section 3.8: Implicit differentiation.
August 21. Section 3.9: Exponentials and logarithms. Section 4.1: Linear approximation.
August 23. Section 4.2: Extreme values. Section 4.3: Mean value theorem.

August 26. Section 4.4: Concavity. Section 4.5: L'Hospital's rule.
August 28. Section 4.6: Graph sketching. Catch up and review.
August 29. Exam II
August 30. Section 4.7: Applied optimization. Section 5.1: Computing area.

September 2. Section 5.2: Definite integrals.
September 4. Section 5.3: Indefinite integrals. Section 5.4: The fundamental theorem of calculus I.
September 6. Section 5.5: The fundamental theorem of calculus II. Catch up and review.

September 7. Final Exam.