MATH 131: Applied Calculus I

Chapter 1: Functions and Change
1.1 What is a Function
1.2 Linear Functions
1.3 Average Rate of Change and Relative Change
1.5 Exponential Functions
1.6 The Natural Logarithm
1.7 Exponential Growth and Decay
1.8 New Functions from Old
1.10 Periodic Functions

Chapter 2: Rate of Change: The Derivative
2.1 Instantaneous Rate of Change
2.2 The Derivative Function
2.3 Interpretations of the Derivative
2.4 The Second Derivative

Chapter 3: Shortcuts to Differentiation
3.1 Derivative Formulas for Powers and Polynomials
3.2 Exponential and Logarithmic Functions
3.3 The Chain Rule
3.4 The Product and Quotient Rules
3.5 Derivatives of Periodic Functions

Chapter 4: Using the Derivative
4.1 Local Maximum and Minima
4.2 Inflection Points
4.3 Global Maxima and Minima
4.4 Profit, Cost, and Revenue

Chapter 5: Accumulated Change: The Definite Integral
5.1 Distance and Accumulated Change
5.2 The Definite Integral
5.3 The Definite Integral as Area
5.4 Interpretations of the Definite Integral
5.5 Total Change and the Fundamental Theorem of Calculus
5.6 Average Value

Chapter 6: Antiderivatives and Applications
6.1 Analyzing Antiderivatives Graphically and Numerically
6.2 Antiderivatives and the Indefinite Integral
6.3 Using the Fundamental Theorem of Calculus to Find Definite Integrals

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:

* These problem types will not be present on Final Exams starting in Fall 2024.

MATH 131: Applied Calculus I

Course Description

Textbook Information

Common Syllabus

Final Exam