MATH 180 Section 201 Course Outline

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
• Week 3
  • §2.7 Derivatives and Rates of Change
  • §2.8 The Derivative as a Function
  • §3.1 Derivatives of Polynomials and Exponential Functions
• Week 4
  • §3.2 The Product and Quotient Rules
  • §3.3 Derivatives of Trigonometric Functions
  • §3.4 The Chain Rule
• Week 5
  • §1.6 Inverse Functions and Logarithms
  • §3.5 Implicit Differentiation
• Week 6
  • §3.6 Derivatives of Logarithmic Functions
  • §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
• Week 8
  • Course Notes §1 Taylor Polynomials
  • Course Notes §2 Taylor’s Formula with Remainder
• Week 9
  • §4.1 Maximum and Minimum Values
  • §4.2 The Mean Value Theorem
• Week 10
  • §4.3 How Derivatives Affect the Shape of a Graph (First and Second Derivative Tests)
  • §4.4 Indeterminate Forms and l’Hospital’s Rule
• Week 11
  • §4.5 Summary of Curve Sketching
  • §4.7 Optimization Problems
• Week 12
  • §4.9 Antiderivatives

Homework problems