# Math1131 -Outline- Summer

## Tentative Outline for Math 1131 – Summer Online

Module Date Section Topic
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.4 The Precise Definition of a Limit
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
3.1 Derivatives of Polynomials and Exponential Functions
3.2 The Product and Quotient Rules
6/7/2022 Exam 1
2 3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.8 Exponential Growth and Decay
3.9 Related Rates
3.10 Linear Approximations and Differentials
6/15/2022 Exam 2
3 4.8 Newton’s Method
4.1 Maximum and Minimum Values
4.2 Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Indeterminate Forms and l’Hospital’s Rule
4.7 Optimization Problems
4.9 Antiderivatives
6/23/2022 Exam 3
4 5.1 Areas and Distances
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
5.5 The Substitution Rule
6.1 Areas Between Curves
6.2 Volumes
Review
7/1/2022 Exam 4