Math 1325 – Elements of Calculus with
Calculus for Business, Economics, Life Sciences and Social
Sciences
Raymond A. Barnett, Michael R. Ziegler, and Karl Byleen
Publisher: Prentice Hall; 13th edition
ISBN‐10: 0321925718
ISBN‐13: 978‐0321925718
Catalog Description:
A one-semester calculus course for non-science majors. Topics include limits, continuity, rates of
change, differentiation and integration techniques and applications, calculus of the logarithmic and
exponential functions and partial derivatives.
Course Learning Outcomes:
The student will:

Apply calculus to solve business, economics, and social sciences problems.

Apply appropriate differentiation techniques to obtain derivatives of various functions,
including logarithmic and exponential functions.

Solve application problems involving implicit differentiation and related rates.

Solve optimization problems with emphasis on business and social sciences applications.

Determine appropriate technique(s) of integration.

Integrate functions using the method of integration by parts or substitution, as appropriate.

Solve business, economics, and social sciences applications problems using integration
techniques.
Book Sections
Chapter 1 (Review)
1.1
1.2
1.3
1.4
1.5
1.6
Functions (optional)
Graphs and Transformations (optional)
Quadratic Equations (optional)
Polynomial and Rational Functions (optional)
Exponential Functions (optional)
Logarithmic Functions (optional)
Chapter 2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
Introduction to Limits
Infinite Limits and Limits at Infinity
Continuity
The Derivative
Basic Differentiation Properties
Differentials (optional)
Marginal Analysis in Business and Economics
Chapter 3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
The Constant e and Continuous Interest
Derivatives of Exp and Logarithmic Functions
Derivatives of Products and Quotients
The Chain Rule
Implicit Differentiation
Related Rates
Elasticity of Demand (optional)
Chapter 4
4.1
4.2
4.3
4.4
4.5
4.6
First Derivative and Graphs
Second Derivative and Graphs
L’Hôpital’s Rule (optional)
Curve Sketching Techniques
Absolute Maxima and Minima
Optimization
Chapter 5
5.1
5.2
5.3
5.4
5.5
Anti‐derivatives and Indefinite Integrals
Integration by Substitution
Diff. Equations: Growth and Decay
The Definite Integral
The Fundamental Theorem of Calculus
Chapter 6
6.1
6.2
6.3
Area between Curves
Applications in Business and Economics
Integration by Parts
Chapter 7
7.1
7.2
Functions of Several Variables
Partial Derivatives