Tentative Outline for Math 1131 – Summer Online

Module	Date	Section	Topic
1			Administrative Information
		2.1	The Tangent and Velocity Problems
		2.2	The Limit of a Function
		2.3	Calculating Limits Using the Limit Laws
		2.4	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
		6/4/2024	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
		6/12/2024	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
		6/20/2024	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
		6/28/2024	Exam 4