# Math 1131 Outline (Fall 2019)

Note: This schedule is subject to change as needed according to content coverage and unforseen events.

Week Dates Section Topic
1 8/26-8/30 Administrative Information
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2 9/3-9/6 2.4 The Precise Definition of a Limit
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
3 9/9-9/13 2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
3.1 Derivatives of Polynomials and Exponential Functions
4 9/16-9/20 3.2 The Product and Quotient Rules
Th Discussion Midterm Exam 1 (2.1 – 2.3, 2.5 – 2.8, and 3.1)
5 9/23-9/27 3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
6 9/30-10/4 3.6 Derivatives of Logarithmic Functions
3.8 Exponential Growth and Decay
7 10/7-10/11 3.9 Related Rates
3.10 Linear Approximations and Differentials
4.8 Newton’s Method
8 10/14-10/18  4.1 Maximum and Minimum Values
Th Discussion Midterm Exam 2 (3.2 – 3.6, 3.8 – 3.10 and 4.8)
9 10/21-10/25 4.2 Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Indeterminate Forms and l’Hospital’s Rule
10 10/28-11/1 4.7 Optimization Problems
4.9 Antiderivatives
11 11/4-11/8 5.1 Areas and Distances
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
12 11/11-11/15  5.4 Indefinite Integrals and the Net Change Theorem
Th Discussion Midterm Exam 3 (4.1 – 4.4, 4.7, 4.9 and 5.1 – 5.3)
13 11/18-11/22 5.5 The Substitution Rule
6.1 Areas Between Curves
14 11/25-11/29 No Class Thanksgiving Recess
15 12/2-12/6 6.2 Volumes
Review
16 12/9-12/16 Finals Week