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Math 148 (formerly Math 156) Calculus Applications for Economics and Business
CALCULUS APPLICATIONS FOR ECONOMICS AND BUSINESS
Math&148
COURSE GOALS/OBJECTIVES:
Limits, derivatives, marginal analysis, optimization, antiderivatives, and definite integrals. Examples taken from management, life and social sciences.
A graphing calculator is required.
Prerequisite: Math&141 (formerly 130) or Math&145 (formerly 155) or equivalent with a grade of "C" or better.
COURSE CONTENT:
11.1 Limits
11.2 One-sided Limits and Limits Involving Infinity
11.3 Rates of Change (using graphs, numerical data, and equations).
11.4 Tangent Lines and Derivatives.
11.5 Techniques for Finding Derivatives
11.6 Derivatives of Products and Quotients
11.7 The Chain Rule
11.8 Derivatives of Exponential and Logarithmic Functions
11.9 Continuity and Differentiability
12.1 Derivatives and Graphs
12.2 The Second Derivative
12.3 Applications of the Derivative
12.4 Curve Sketching
13.1 Antiderivatives
13.2 Integration by Substitution
13.3 Area and the Definite Integral (Interpretations of the Definite Integral; area, total change)
13.4 Fundamental Theorem of Calculus
13.5 Applications of Integrals
Optional Topics
---- Elasticity (page 631)
13.7 Differential Equations
REQUIRED EVALUATION METHODS:
Written exams, quizzes, homework, class participation, group participation
WCC OUTCOMES:
Thinking:
Students will demonstrate a clear understanding of the derivative as a rate of change and the integral as total change and how these can be interpreted in a variety of applications.
Students will analyze application problems and choose appropriate mathematical concepts to solve the problems.
Students will use a graphing calculator as a tool to solve problems recognizing both its capabilities and limitations.
Knowing:
Students will demonstrate knowledge of the vocabulary, notation, and rules for determining derivatives and integrals.
Students will strengthen algebra skills.
Students will apply calculus techniques to problems from other disciplines.
Students will build on previously learned skills to develop complex concepts associated with calculus.
Communicating:
Students will gain experience explaining their ideas and listening for understanding.
Students will write up some problems carefully. The goal will be to include pertinent information so that the problem and solution could be understood by another student in the class.
TEXT BOOKS:
Margaret L. Lial and Thomas W. Hungerford
Mathematics with Applications 9th edition,
Addison-Wesley 2007.
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