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

• 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