MATH 161: Calculus I

Chapter 1: Functions
1.1 Functions and Their Graphs
1.2 Library of Functions
1.3 Implicit Functions and Conic Sections
1.4 Polar Functions
1.5 Parametric Functions

Chapter 2: Limits
2.1 Limits in Calculus
2.2 Limits: Numerical & Graphical Approaches
2.3 Calculating Limits Using Limit Laws
2.4 Limits at Infinity & Horizontal Asymptotes
2.5 Continuity & the Intermediate Value Theorem
2.6 Formal Definition of Limit

Chapter 3: The Derivative
3.1 Tangents, Velocities, Other Rates of Change
3.2 Derivatives
3.3 Rules for Differentiation
3.4 Product and Quotient Rules
3.5 Trigonometric Fn’s and Their Derivatives
3.6 Chain Rule
3.7 Tangents to Parametric and Polar Curves
3.8 Implicit Differentiation
3.9 Inverse Functions and Their Derivatives
3.10 Logarithmic Functions & Their Derivatives

Chapter 4: Applications of the Derivative
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 Derivatives and Graphs
4.4 Optimization
4.5 Applications to Rates of Change
4.6 Indeterminate Limits and L’Hopital’s Rule
4.7 Polynomial Approximations
4.8 Tangent Line Approximations: Differentials and Newton’s Method

Chapter 5: The Integral
5.1 Antiderivatives and Indefinite Integrals
5.2 Area Under a Curve and Total Change
5.3 The Definite Integral
5.4 The Fundamental Theorem of Calculus
5.5 Integration by Substitution

Math 161 Common Final Study Materials

Calculators will not be permitted on the exam. We provide sample exams and study materials here from previous academic years.

We provide the following pdf files:

MATH 161: Calculus I

Course Description

Textbook Information

Common Syllabus

Final Exam