MATH118 Business Calculus

Department of Science, Technology, Engineering & Mathematics: Mathematics

I. Course Number and Title
MATH118 Business Calculus
II. Number of Credits
3 credits
III. Minimum Number of Instructional Minutes Per Semester
2250
IV. Prerequisites
Math Placement Test score of 8 or better or MATH117 (C or better) or MATH120 (C or better)
Corequisites
None
V. Other Pertinent Information
A comprehensive departmental final examination will be included in this course.
VI. Catalog Course Description
This is an introduction to basic calculus with emphasis on applications to business, economics, management, information science, and related fields. Topics include relations and functions, limits, continuity, derivatives, techniques of differentiation, chain rule, applications of differentiation, antiderivatives, the definite integral, the fundamental theorem of calculus, and applications of integration.
VII. Required Course Content and Direction
  1. Learning Goals:

    Course Specific: The student will be able to:
    1. demonstrate understanding of the concept of function.
    2. demonstrate understanding of the concept of limit.
    3. evaluate limits.
    4. demonstrate understanding of the concept of continuity.
    5. evaluate derivatives of algebraic functions.
    6. demonstrate correct use of implicit differentiation to find a derivative.
    7. apply concepts of differentiation to problems in curve sketching, related rates, straight line motion.
    8. apply concepts of differentiation to business and economics.
    9. find indefinite integrals.
    10. solve elementary differential equations.
    11. apply the definition of the definite integral and its properties.
    12. evaluate definite integrals.
    13. accurately use the definite integral for applications, such as average value and areas.
  2. Planned Sequence of Topics and/or Learning Activities:

    1. Precalculus Review
      1. Polynomials
      2. Algebraic Expressions
      3. Quadratic Equations
      4. Relations and Functions
      5. Graphing Functions

    2. Exponential and Logarithmic Functions
      1. Exponential Functions
      2. Logarithmic Functions
      3. Tables and Calculators
      4. Applications
      5. Technological Matrices

    3. Differential Calculus
      1. Limit of a Function
      2. Continuity
      3. The Derivative
      4. Techniques of Differentiation
      5. Derivatives of Products and Quotients
      6. Chain Rule
      7. Applications

    4. Integral Calculus
      1. The Antiderivatives
      2. The Definite Integral
      3. The Fundamental Theorem of the Calculus
  3. Assessment Methods for Core Learning Goals:

    Students will apply mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and student(s), and formal assessment using open-ended questions reflecting theoretical and applied situations.
  4. Reference, Resource, or Learning Materials to be used by Students:

    Departmentally selected textbook. Details provided by the instructor of each course section. See Course Format.
VIII. Teaching Methods Employed
Lectures, recitation, problem solving, discussion, and group work.

Review/Approval Date - 4/07