Math 1325 Calculus for Business & Social Sciences Information

Course Outline

Catalog Description

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

  1. Apply calculus to solve business, economics, and social sciences problems.
  2. Apply appropriate differentiation techniques to obtain derivatives of various functions, including logarithmic and exponential functions.
  3. Solve application problems involving implicit differentiation and related rates.
  4. Solve optimization problems with emphasis on business and social sciences applications.
  5. Determine appropriate technique(s) of integration.
  6. Integrate functions using the method of integration by parts or substitution, as appropriate.
  7. Solve business, economics, and social sciences applications problems using integration techniques.
  8. 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

Prerequisites

MATH 1314 or MATH 1324 or placement by testing
ENGL 0305 or ENGL 0365 OR higher level course (ENGL 1301) OR placement for testing

Getting Started Assignments

Review exercises from MyMathLab that can be copied into your own course. Copy three “getting started” assignments from Chapter 1 from jezek99843

Required Materials

Textbook

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: 9780558357603
Hardbound text (optional): 9780321749086
Hardbound text + free MyMathLab access: 9781256636618

Calculator:

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.

Textbook Sections

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

11.1 Limits
11.2 Continuity
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

15.1 Antiderivatives
15.2 Substitution
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