COURSE OUTLINE
2010 09 02 11:00
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 Taylors 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 Newtons Method
- Week 12
- §4.9 Antiderivatives
- Review
Suggested homework problems (http://www.math.ubc.ca/~nagata/m100-180_common/homework.html)