# Math 1131 Outline (Spring 2019)

## Tentative Outline for Math 1131 – Spring 2019

Week Dates Section Topic
1 1/22-1/26 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 1/28-2/1 2.4 The Precise Definition of a Limit
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
3 2/4-2/8 2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
3.1 Derivatives of Polynomials and Exponential Functions
4 2/11-2/15 3.2 The Product and Quotient Rules
W Discussion Midterm Exam 1 (2.1-2.8, 3.1)
5 2/18-2/22 3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
6 2/25-3/1 3.6 Derivatives of Logarithmic Functions
3.8 Exponential Growth and Decay
7 3/4-3/8 3.9 Related Rates
3.10 Linear Approximations and Differentials
4.8 Newton’s Method
8 3/11-3/15  4.1 Maximum and Minimum Values
W Discussion Midterm Exam 2 (3.2-3.6, 3.8-3.10 and 4.8)
9 3/18-3/22 No Class Spring Break
10 3/25-3/29 4.2 Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Indeterminate Forms and l’Hospital’s Rule
11 4/1-4/5 4.7 Optimization Problems
4.9 Antiderivatives
12 4/8-4/12 5.1 Areas and Distances
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
13 4/15-4/19  5.4 Indefinite Integrals and the Net Change Theorem
W Discussion Midterm Exam 3 (4.1-4.4, 4.7, 4.9 and 5.1-5.3)
14 4/22-4/26 5.5 The Substitution Rule
6.1 Areas Between Curves
15 4/29-5/3 6.2 Volumes
Review
16 5/6-5/10 Finals Week