Math 1131 Outline (Spring 2022)

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