## Math 131

**Instructor:** Paul Gustafson

**Email:** pgustafs@math.tamu.edu

**Office:** Blocker 506B

**Office hours:** 2:00-3:30 PM Mon,
11:00 AM-12:30 PM Thurs,
and by appointment.

**Take-home quizzes**

Quiz 1 due Tuesday, February 7
Quiz 2 due Thursday, March 2
Quiz 3 due Tuesday, March 21
Quiz 4 due Thursday, April 13
Quiz 5 due Thursday, April 20
Quiz 6 due Thursday, May 4

**Useful links**

Syllabus
Math 131 Course Website
WebAssign
Help Sessions
Week in Review

**Notes**

Intro and Section 1.1: Functions
Section 1.2: Mathematical Models
Sections 1.3 and 1.5: Composition and Exponential Functions
Section 1.6: Inverse Functions and Logarithms
Sections 2.1 and 2.2: Tangent Lines, Velocity, and Limits
Section 2.3: Calculating Limits
Section 2.4: Continuity
Section 2.5: Limits Involving Infinity
Section 2.6: Derivatives and Rates of Change
Exam 1 Review: Up to Section 2.5
Section 2.7: Derivatives as Functions
Sections 2.8 and 3.1: Derivatives and Shapes of Graphs; Derivatives of Polynomials and Exponential Functions
Sections 3.2 and 3.3: Product and Quotient Rules; Derivatives of Trig Functions
Sections 3.4: The Chain Rule
Sections 3.7 and 3.8: Derivatives of Log Functions, Applications in Natural and Social Sciences
Sections 3.9: Linear Approximations and Differentials
Section 4.2: Local and Absolute Extrema
Exam 2 Review: Up to Section 4.2
Section 4.3: Derivatives and Shapes of Curves
Section 4.6: Optimization
Sections 4.8 and 5.1: Antiderivatives and Estimating the Area under a Curve
Extra notes on Section 5.1
Section 5.2: The Definite Integral
Sections 5.3 and 5.4: Evaluating Definite Integrals and the Fundamental Theorem of Calculus
Sections 5.5 and 6.1: The Substitution Rule and Area between Curves
Exam 3 Review: Up to Section 5.5
Sections 6.5 and 6.7: The Average Value of a Function and Applications to Biology
Final Review