Math 1131 Outline

Tentative Outline for Math 1131 – Fall 2016

Week Date Section Topic Worksheets
1 8/29 Administrative Information
2.1 The Tangent and Velocity Problems 2.1 Worksheet
2.2 The Limit of a Function 2.2 Worksheet
2.3 Calculating Limits Using the Limit Laws 2.3 Worksheet
2 9/5 Labor Day
2.4 The Precise Definition of a Limit 2.4 Worksheet
2.5 Continuity 2.5 Worksheet
2.6 Limits at Infinity; Horizontal Asymptotes 2.6 Worksheet
3 9/12 2.7 Derivatives and Rates of Change 2.7 Worksheet
2.8 The Derivative as a Function 2.8 Worksheet
3.1 Derivatives of Polynomials and Exponential Functions 3.1 Worksheet
4 9/19 3.2 The Product and Quotient Rules 3.2 Worksheet
Midterm 1 Practice Exam (Actual Exam in Discussion)
 5 9/26 3.3 Derivatives of Trigonometric Functions 3.3 Worksheet
3.4 The Chain Rule 3.4 Worksheet
3.5 Implicit Differentiation 3.5 Worksheet
 6 10/3 3.6 Derivatives of Logarithmic Functions 3.6 Worksheet
3.8 Exponential Growth and Decay 3.8 Worksheet
7 10/10 3.9 Related Rates 3.9 Worksheet
3.10 Linear Approximations and Differentials 3.10 Worksheet
4.8 Newton’s Method 4.8 Worksheet 
8 10/17 4.1 Maximum and Minimum Values 4.1 Worksheet 
Midterm 2 Practice Exam (Actual Exam in Discussion)
9 10/24 4.2 Mean Value Theorem 4.2 Worksheet 
4.3 How Derivatives Affect the Shape of a Graph 4.3 Worksheet 
4.4 Indeterminate Forms and l’Hospital’s Rule 4.4 Worksheet 
 10 10/31 4.7 Optimization Problems 4.7 Worksheet
4.9 Antiderivatives 4.9 Worksheet
11 11/7 5.1 Areas and Distances
5.2 The Definite Integral 5.1/5.2 Worksheet
5.3 The Fundamental Theorem of Calculus 5.3 Worksheet
12 11/14 5.4 Indefinite Integrals and the Net Change Theorem 5.4 Worksheet
Midterm  3 Practice Exam (Actual Exam in Discussion)
13 11/21 No class Thanksgiving Break
14 11/30 5.5 The Substitution Rule 5.5 Worksheet
6.1 Areas Between Curves 6.1 Worksheet
15 12/7 6.2 Volumes 6.2 Worksheet
Review
16 12/14 Finals Week