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Tentative Outline for Math 1131 – Fall 2017
Week
Date
Section
Topic
1
8/28
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
9/4
Labor Day
2.4
The Precise Definition of a Limit
2.5
Continuity
2.6
Limits at Infinity; Horizontal Asymptotes
3
9/11
2.7
Derivatives and Rates of Change
2.8
The Derivative as a Function
3.1
Derivatives of Polynomials and Exponential Functions
4
9/18
Midterm 1 Practice Exam (Actual Exam in Discussion)
3.2
The Product and Quotient Rules
5
9/25
3.3
Derivatives of Trigonometric Functions
3.4
The Chain Rule
3.5
Implicit Differentiation
6
10/2
3.6
Derivatives of Logarithmic Functions
3.8
Exponential Growth and Decay
7
10/9
3.9
Related Rates
3.10
Linear Approximations and Differentials
4.8
Newton’s Method
8
10/16
Midterm 2 Practice Exam (Actual Exam in Discussion)
4.1
Maximum and Minimum Values
9
10/23
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
10/30
4.7
Optimization Problems
4.9
Antiderivatives
11
11/6
5.1
Areas and Distances
5.2
The Definite Integral
5.3
The Fundamental Theorem of Calculus
12
11/13
Midterm 3 Practice Exam (Actual Exam in Discussion)
5.4
Indefinite Integrals and the Net Change Theorem
13
11/20
No class
Thanksgiving Break
14
11/27
5.5
The Substitution Rule
6.1
Areas Between Curves
15
12/4
6.2
Volumes
Review
16
12/11
Finals Week