BC3 Academic Catalog: 2023-2024 [ARCHIVED CATALOG]
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MATH 125 - Business Calculus 3 Credits: (3 lecture)
Course Description
This course is designed for Business Administration majors with an emphasis on business and economics applications of calculus. Topics include linear, quadratic, exponential, and logarithmic functions, derivatives and integration of those functions and applications of the calculus processes. The topics will be presented graphically, analytically, and numerically.
Prerequisite MATH 101.
Text
Barnett, R. A., Ziegler, M. R., Byleen, K. E., & Stocker, C. J. (2019). Calculus: for business, economics, life sciences, and social sciences w/Access (14th ed.). Upper Saddle River, NJ: Pearson.
Objectives
The student will be able to:
A. Manipulate analytically and graphically linear, quadratic, exponential, and logarithmic functions.
B. Determine values for the limits and continuities of functions.
C. Derive derivative of functions using the limit definition.
D. Utilize power, product, quotient, and chain rules to determine derivatives.
E. Apply concept of derivatives to optimization, supply/demand, rate changes, and marginal economic functions.
F. Sketch curves determined by the using first and second derivatives tests.
G. Apply exponential functions to determine compound interest, population growth/decay, and pricing applications.
H. Determine indefinite integrals by an algorithmic process.
I. Utilize Fundamental Theorem of Calculus to determine the values of definite integrals.
J. Apply the process of definite integration to surplus and present value.
Content
A. Algebraic review of exponents, factoring, and rational expressions
B. Graphing of linear and quadratic functions
C. Function notation and operations
D. Limit evaluation
E. Function continuity
F. Derivative rules of power, product, quotient, and chain for polynomial and rational functions
G. Curve sketching
H. Business and economic applications of derivatives
I. Definition and rules of exponential and logarithmic functions
J. Derivative of exponential and logarithmic functions
K. Business and economic applications of exponential and logarithmic functions
L. Integration by power rule and substitution
M. Business and economic applications of integration
Student Evaluation
Daily assignments, short quizzes, chapter examinations, and graphing explorations will determine the majority of the student’s evaluation. In addition, a group presentation will also be a necessary component.
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