Math 1131 Outline (Fall 2020)

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

Week Dates Section Topic
1 8/31-9/6 Course Orientation
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2 9/8-9/13 2.4 The Precise Definition of a Limit
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
3 9/14-9/20 2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
3.1 Derivatives of Polynomials and Exponential Functions
4 9/21-9/27 3.2 The Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
 5 9/28-10/4 3.4 The Chain Rule
3.5 Implicit Differentiation
6 10/5-10/11 Exam 1 Tuesday, October 6 – Sections 2.1-2.3, 2.5-2.8, 3.1-3.5
3.6 Derivatives of Logarithmic Functions
7 10/12-10/18 3.8 Exponential Growth and Decay
3.9 Related Rates
3.10 Linear Approximations and Differentials
8 10/19-10/25 4.1 Maximum and Minimum Values
4.2 Mean Value Theorem
9 10/26-11/1 4.3 How Derivatives Affect the Shape of a Graph
4.4 Indeterminate Forms and l’Hospital’s Rule
10 11/2-11/8 4.7 Optimization Problems
4.8 Newton’s Method
4.9 Antiderivatives
11 11/9-11/15 Exam 2 Tuesday, November 10 – Sections 3.6, 3.8-3.10, 4.1-4.4, 4.7-4.9
5.1 Areas and Distances
5.2 The Definite Integral
12 11/16-11/22 5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
5.5 The Substitution Rule
Fall Break 11/23-11/29 No Class Thanksgiving Recess
13 11/30-12/6 6.1 Areas Between Curves
6.2 Volumes
14 12/7-12/13 University Reading Week: Final Exam Review
Finals Week 12/14-12/20 Finals Week: Final Exam is Cumulative