Math1131 -Outline- Fall 2025

Module Date Section Topic
Week 1 8/25/2025 Administrative Information
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
            Week 2 9/1/2025 No Discussion section on labor day.
Week 2 2.3 Calculating Limits Using the Limit Laws
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
Week 3 9/8/2025 2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
2.4 The Precise Definition of a Limit
Week 4 9/15/2025 3.1 Derivatives of Polynomials and Exponential Functions
3.2 The Product and Quotient Rules

Week 5

9/22/2025 9/22/2025 Monday Exam 1 in discussion section. (2.1-2.3, 2.5-2.8)
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
Week 6 9/29/2025 3.6 Derivatives of Logarithmic and Inverse Trig Functions
3.8 Exponential Growth and Decay
Week 7 10/6/2025 3.9 Related Rates
3.10 Linear Approximations and Differentials
Week 8 10/13/2025 4.1 Maximum and Minimum Values
4.2 Mean Value Theorem
Week 9 10/20/2025 10/20/2025 Monday Exam 2 in discussion section (3.1-3.6, 3.8-3.10)
4.3 What Derivatives Tell Us About the Shape of a Graph
4.4 Indeterminate Forms and l’Hospital’s Rule
Week 10 10/27/2025 4.7 Optimization Problems
4.8 Newton’s Method
Week 11 11/03/2025 4.9 Antiderivatives
5.1 Areas and Distances
5.2 The Definite Integral
Week 12 11/10/2025 5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
Week 13 11/17/2025 11/17/2025 Monday Exam 3 in discussion section (4.1-4.4, 4.7 – 4.9, 5.1 – 5.2)
5.5 The Substitution Rule
6.1 Areas Between Curves
Week 14 12/1/2025 6.2 Volumes
Review
Finals Week 12/8/2025 Final Exam Final Exam during the University-scheduled time (TBA)- cumulative.