Math 1A: Calculus
UC Berkeley | Fall 2015
- DIS 112: MWF 2-3 PM in 87 Evans Hall
- DIS 114: MWF 3-4 PM in 237 Cory Hall
GSI: Theodore Zhu
Email:
Office: 840 Evans Hall
Office Hours: Tuesdays 10:30-11:30, 5-6
Announcements
- 11/05: Office hours for week of Midterm 2: Monday 12-1:30, Tuesday 11:30-12:30, Thursday 12-1:30
- 10/05: Office hours for week of Midterm 1: Tuesday 11:30-12:30, Wednesday 12-1, Thursday 12-1
- 08/28: Sections 1.1 and 1.2 of the textbook are temporarily
available here.
Schedule
- 08/26: Introduction
- 08/28: Basics of functions (Section 1.1)
- 08/31: Review of trigonometric functions (Appendix D)
- 09/02: Quiz #1 (Solutions). Operations on functions (Section 1.3)
- 09/04: Exponential functions (Section 1.4)
- 09/09: Quiz #2 (Solutions). Notion of one-to-one and onto; inverse functions (Section 1.5)
- 09/11: Neighborhoods (Conceptbook)
- 09/14: Limit points of sets, limits of functions (Conceptbook)
- 09/16: Quiz #3 (Solutions). Rigorous definition of a limit (Conceptbook)
- 09/18: More on limits (Conceptbook)
- 09/21: Computing limits using limit rules, epsilon-delta arguments (Section 2.3-2.4)
- 09/23: Quiz #4 (Solutions). Continuity (Section 2.5)
- 09/25: More on continuity. Limits at infinity (Section 2.5-2.6)
- 09/28: Intermediate value theorem (Section 2.5)
- 09/30: Quiz #5 (Solutions). Concept of derivatives (Section 2.7)
- 10/02: Examples and exercises on derivatives (Section 2.7)
- 10/05: Review
- 10/07: Review
Midterm 1 (10/08)
- 10/09: Return Midterm 1. Statistics
- 10/12: Differentiation rules (Section 3.1)
- 10/14: Differentiation rules (Section 3.2)
- 10/16: Concept of mathematical induction (Appendix E)
- 10/19: Derivatives of trigonometric functions (Section 3.3)
- 10/21: Quiz #6 (Solutions). Chain rule (Section 3.4)
- 10/23: Implicit differentiation (Section 3.5)
- 10/26: Logarithmic differentiation and applications (Section 3.6)
- 10/28: Quiz #7 (Solutions). General power rule (Section 3.6)
- 10/30: Hyperbolic trigonometric functions. Related rates (Section 3.9, 3.11)
- 11/02: Concept of absolute and local maxima/minima (Section 4.1)
- 11/04: Quiz #8 (Solutions). Extreme value theorem. Fermat's theorem. Critical values (Section 4.1)
- 11/06: Rolle's theorem and mean value theorem. Applications and examples (Section 4.2)
- 11/09: Review
- 11/11: NO CLASS (Veterans Day)
Midterm 2 (11/12)
- 11/13: Return Midterm 2. Statistics
- 11/16: Types of proofs. Structure of proofs. Examples.
- 11/18: Quiz #9. First and second derivative tests. Relation to graphs (Section 4.3)
- 11/20: l'Hospital's Rule (Section 4.4)
- 11/23: Examples and applications of l'Hospital's Rule (Section 4.4)
- 11/25: NO CLASS (Thanksgiving Break)
- 11/30: Sketching graphs of functions using derivatives (Section 4.5)
- 12/02: Quiz #10. Definition of the integral. Riemann sums (Section 5.1-5.2)
- 12/04: Antiderivatives. Fundamental thoerem of calculus (Section 4.9, 5.3)