April 2011

All lecture sections of MATH 100 and MATH 180 cover the topics
listed below, but some sections of MATH 100 may do so in a different order.
A “Week”
represents *approximately* 150 minutes of class
time, not necessarily a calendar week.

Unless otherwise indicated, the section numbers below refer to the textbook; most sections of Chapters 2 to 4 and two sections of the Course Notes are covered.

**Week 1**- §2.1 The Tangent and Velocity Problems
- §2.2 The Limit of a Function
- §2.3 Calculating Limits Using the Limit Laws

**Week 2**- §2.5 Continuity
- §2.6 Limits at Infinity; Horizontal Asymptotes
- §2.7 Derivatives and Rates of Change

**Week 3**- §2.8 The Derivative as a Function
- §3.1 Derivatives of Polynomials and Exponential Functions
- §3.2 The Product and Quotient Rules
- §3.3 Derivatives of Trigonometric Functions

**Week 4**- §3.4 The Chain Rule
- §1.6 Inverse Functions and Logarithms
- Midterm Test 1

**Week 5**- §3.5 Implicit Differentiation
- §3.6 Derivatives of Logarithmic Functions

**Week 6**- §3.7 Rates of Change in the Natural and Social Sciences
- §3.8 Exponential Growth and Decay

**Week 7**- §3.9 Related Rates
- §3.10 Linear Approximations and Differentials
- Course Notes §1 Taylor Polynomials

**Week 8**- Course Notes §2 Taylor’s Formula with Remainder
- §4.1 Maximum and Minimum Values

**Week 9**- §4.2 The Mean Value Theorem
- Midterm Test 2

**Week 10**- §4.3 How Derivatives Affect the Shape of a Graph (First and Second Derivative Tests)
- §4.5 Summary of Curve Sketching

**Week 11**- §4.7 Optimization Problems
- §4.8 Newton’s Method

**Week 12**- §4.9 Antiderivatives
- Review

Suggested homework problems (http://www.math.ubc.ca/~nagata/m100-180_common/homework.html)