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
- 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
Prerequisites
MATH 1314 or placement by testing
College level readiness in reading and writing
Required Materials
Textbook
Lial, Greenwell and Ritchey; Finite Mathematics & Calculus with Applications, 11th 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.
ISBN for hard copies of MyMathLab access codes: 9780135904466
Loose leaf text + free MyMathLab access: 9780137419302
Calculator:
Calculators may be required for some assignments/assessments at the discrection of the Instructor. Refer to class syllabus for details.
Neither cell phones nor PDA’s can be used as calculators. Calculators may be cleared before tests.
Textbook Sections
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 Derivatives
12.2 Derivatives of Products and Quotients
12.3 The Chain Rule
12.4 Derivatives of Exponential Functions
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 Extrema
14.3 Further Business Applications
14.4 Implicit Differentiation
14.5 Related Rates
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
16.2 Volume and Average Value (focus on average value, volume is optional)