# Math 1131 Outline (Spring 2021)

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

You are expected to work through the course content for the sections listed below during the weeks listed.

Week Dates Section Topic
1 1/19-1/24 Course Orientation; Algebra/Precalculus Review
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
2 1/25-1/31 2.3 Calculating Limits Using the Limit Laws
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
3 2/1-2/7 2.4 The Precise Definition of a Limit
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
4 2/8-2/14 3.1 Derivatives of Polynomials and Exponential Functions
3.2 The Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
5 2/15-2/21 3.4 The Chain Rule
3.5 Implicit Differentiation
6 2/22-2/28 Exam 1 Wednesday, February 24 – Sections 2.1-2.3, 2.5-2.8, 3.1-3.5
3.6 Derivatives of Logarithmic Functions
3.8 Exponential Growth and Decay
7 3/1-3/7 3.9 Related Rates
3.10 Linear Approximations and Differentials
8 3/8-3/14 4.1 Maximum and Minimum Values
4.2 Mean Value Theorem
9 3/15-3/21 4.3 How Derivatives Affect the Shape of a Graph
4.4 Indeterminate Forms and l’Hospital’s Rule
10 3/22-3/28 4.7 Optimization Problems
4.8 Newton’s Method
11 3/29-4/4 Exam 2 Wednesday, March 31 – Sections 3.6, 3.8-3.10, 4.1-4.4, 4.7-4.8
4.9 Antiderivatives
5.1 Areas and Distances
12 4/5-4/11 5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
Spring Break 4/11-4/17 No Class Spring Recess
13 4/18-4/25 5.5 The Substitution Rule
6.1 Areas Between Curves
14 4/26-4/28 6.2 Volumes
4/29-4/30 University Reading Days: Final Exam Review
Finals Week 5/3-5/8 Finals Week: Final Exam is Cumulative