Math 1325 Calculus for Business & Social Sciences Information
This course is the basic study of limits and continuity, differentiation, optimization and graphing, and integration of elementary functions, with emphasis on applications in business, economics, and social sciences. This course is not a substitute for MATH 2413, Calculus I.
Course Learning Outcomes
- 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.
- Evaluate limits of functions from their graphs and/or equations.
Contact Hour Information
Credit Hours: 3
Weekly Lecture Hours: 3
Weekly Lab Hours: 0
Weekly External Hours: 0
Total Contact Hours: 48
MATH 1314 or MATH 1324 or placement by testing
College level readiness in reading and writing
Lial, Greenwell and Ritchey; Finite Mathematics & Calculus with Applications, 9th ed. with MyMathLab access; Pearson; ISBN Numbers:
Required: Students must buy an access code to MyMathLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyMathLab access at www.mymathlab.com; hard copies of access codes available with ISBN: 9780321199911
Hardbound text (optional): 9780321749086
Hardbound text + free MyMathLab access: 9780321760043
Graphing Calculator required. TI 83, TI 84, or TI 86 series calculators recommended. Calculators capable of symbolic manipulation will not be allowed on tests. Examples include, but are not limited to, TI 89, TI 92, and Nspire CAS models and HP 48 models. Neither cell phones nor PDA’s can be used as calculators. Calculators may be cleared before tests.
Chapter 1. Linear Functions
1.1 Slopes and Equations of Lines (review)
Chapter 10. Nonlinear Functions
10.1 Properties of Functions (review)
10.4 Exponential Functions (review)
10.5 Logarithmic Functions (review)
Chapter 11. The Derivative
11.3 Rates of Change
11.4 Definition of the Derivative
Chapter 12. Calculating the Derivative
12.1 Techniques for Finding the Derivative
12.2 Derivatives of Products and Quotients
12.3 The Chain Rule
12.4 Derivatives of Exponential Equations
12.5 Derivatives of Logarithmic Functions
Chapter 13. Graphs and the Derivative
13.1 Increasing and Decreasing Functions
13.2 Relative Extrema
13.3 Higher Derivatives, Concavity and the Second Derivative Test
13.4 Curve Sketching
Chapter 14. Applications of the Derivative
14.1 Absolute Extrema
14.2 Applications of the Extrema
14.3 Further Business Applications
14.6 Differentials; Linear Approximation
Chapter 15. Integration
15.3 Area and the Definite Integral
15.4 The Fundamental Theorem of Calculus
15.5 The Area Between Two Curves
Chapter 16. Further Techniques and Applications of Integration
16.1 Integration by Parts
Chapter 17. Multivariate Calculus
17.1 Functions of Several Variables
17.2 Partial Derivatives