MATH 131: Applied Calculus I

Course Catalog

SINGLE-TERM ACCESS

Calculus Single Variable, 8th Edition with Applied Calculus, 7th Edition for Loyola University WileyPLUS NextGen Card Custom Single-Term, Hughes-Hallett, ISBN: 978-1-394-38807-3

MULTI-TERM ACCESS

Calculus Single Variable, 8th Edition with Applied Calculus, 7th Edition for Loyola University WileyPLUS NextGen Card Custom Multi-Term, Hughes-Hallett, ISBN: 978-1-394-38808-0

Chapter 1: A Library of Functions
1.1 Functions and Change
1.2 Exponential Functions
1.3 New Functions from Old
1.4 Logarithmic Functions
1.5 Trigonometric Functions
1.6 Powers, Polynomials, and Rational Functions
1.7 Introduction to Continuity
1.8 Limits

Chapter 2: Key Concept: The Derivative
2.1 How Do We Measure Speed?
2.2 The Derivative at a Point
2.3 The Derivative Function
2.4 Interpretations of the Derivative
2.5 The Second Derivative

Chapter 3: Shortcuts to Differentiation
3.1 Powers and Polynomials
3.2 The Exponential Function
3.3 The Product and Quotient Rules
3.4 The Chain Rule
3.5 The Trigonometric Functions
3.6 The Chain Rule and Inverse Functions

Chapter 4: Using the Derivative
4.1 Using First and Second Derivatives
4.2 Optimization
4.3 Optimization and Modeling
4.4 Families of Functions and Modeling
4.5 Applications to Marginality

Chapter 5: Key Concept: The Definite Integral
5.1 How Do We Measure Distance Traveled?
5.2 The Definite Integral
5.3 The Fundamental Theorem and Interpretations
5.4 Theorems about Definite Integrals

Chapter 6: Constructing Antiderivatives
6.1 Antiderivatives Graphically and Numerically
6.2 Constructing Antiderivatives Analytically

Math 131 Common Final Study Materials 

Calculators will be permitted on the exam, however no internet-capable devices will be permitted during the exam. CAS (computer algebra system) calculator features will not be needed on the exam.We provide sample exams and study materials here from previous academic years. 

We provide the following pdf files:

1. MATH 131 Exam questions from Spring 2024
2. MATH 131 Exam answers from Spring 2024
3. MATH 131 Exam questions from Fall 2024
4. MATH 131 Exam answers from Fall 2024
5. MATH 131 Exam questions from Spring 2025
6. MATH 131 Exam answers from Spring 2025
7. MATH 131 Exam questions from Fall 2025
8. MATH 131 Exam answers from Fall 2025
9. MATH 131 Final Exam Formula Sheet

Additional past final exams