# Master Syllabus

 Administrative Unit: Business Administration Department Course Prefix and Number: MGMT 200 Course Title: *Calculus for Business and Finance
Number of:
 Credit Hours 3
 Lecture Hours 3
 Lab Hours 0
 Catalog Description: Introduction to analytic geometry; limits, derivatives, definite integrals and their applications. Cross-listed as MATH 200. Prerequisite: Grade of C or higher in MATH 150 or MATH 180; or a score of 23 or higher on math portion of the ACT or 540 or above SAT score. Prerequisite(s) / Corequisite(s): Grade of C or higher in MATH 150 or MATH 180; or a score of 23 or higher on math portion of the ACT or 540 or above SAT score. Course Rotation for Day Program: Occasional offering. Text(s): Most current editions of the following:Applied Calculus for Business, Economics, Life Sciences and Social Sciences By Barnett, Ziegler, and Byleen (Prentice Hall) RecommendedCalculus for the Life SciencesBy Greenwell, Ritchey, & Lial (Addison/Wesley) Recommended Course Objectives To understand procedural and conceptual aspects of basic calculus ideas such as limits, derivatives and integrals. To use appropriate technology, such as graphing calculators and computers, to deepen mathematical understanding and solve real world problems. To establish connections between Calculus and other disciplines. Measurable Learning Outcomes: Examine basic properties of linear, quadratic, polynomial, exponential and logarithmic functions. Solve exponential growth and decay problems arising from biology, physics, chemistry, and other sciences. Describe and explain derivatives as instantaneous rates of change. Differentiate functions explicitly and implicitly. Differentiate composite functions using the Chain Rule. Explore various concepts related to the graph of a function: increasing and decreasing intervals, relative maxima and minima, concavity, critical and inflection points. Apply the first and second derivative tests to locate relative extrema. Apply differential calculus to solve problems in the natural and social sciences. Use linear approximations and differentials to approximate functions and solve applied problems. Solve optimization problems. Find antiderivatives of functions with and without initial conditions. Evaluate definite integrals using geometric interpretation together with other basic properties of integrals. Evaluate definite and indefinite integrals using the Fundamental Theorem of Calculus and the method of substitution. Compute areas using definite integrals. Topical Outline: Review of linear and quadratic functions Review of exponential and logarithmic functions Limits Derivatives of rational, exponential, and logarithmic functions and the chain rule Applications of derivatives including curve sketching Integration including Fundamental Theorem of Calculus Applications and techniques of integration Recommended maximum class size for this course: 30 Library Resources: Online databases are available at the Columbia College Stafford Library.  You may access them using your CougarTrack login and password when prompted.
Prepared by: Nataliya Latushkina Date: April 2, 2008
NOTE: The intention of this master course syllabus is to provide an outline of the contents of this course, as specified by the faculty of Columbia College, regardless of who teaches the course, when it is taught, or where it is taught. Faculty members teaching this course for Columbia College are expected to facilitate learning pursuant to the course objectives and cover the subjects listed in the topical outline. However, instructors are also encouraged to cover additional topics of interest so long as those topics are relevant to the course's subject. The master syllabus is, therefore, prescriptive in nature but also allows for a diversity of individual approaches to course material.

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