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MATH 161: Calculus I

Course Description

Textbook Information

Textbook for MATH 161 and MATH 162: Dwyer and Grunwald, “Calculus: Resequenced for Students in STEM”, Preliminary Edition, Wiley.

Note: MATH 162A uses a different textbook. Namely, James Stewart. Calculus, Early Transcendentals (WebAssign eBook) 8th ed. Cengage Learning. Be sure you are reading the correct information.

Common Syllabus

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

Final Exam

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: 

  1. MATH 161 Exam questions from Fall 2021
  2. MATH 161 Exam questions from Spring 2022
  3. MATH 161 Exam questions from Spring 2022 solutions
  4. MATH 161 Exam questions from Fall 2022
  5. MATH 161 Exam questions from Fall 2023
  6. MATH 161 Practice final exam problems 
  7. MATH 161 Practice final exam solutions