May 18, 2024  
2020-2021 Catalog 
    
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2020-2021 Catalog [ARCHIVED CATALOG]

Course Descriptions

 
 

Mathematics

Out-of-class learning support: The Math Center and the College Library contain media material to support students’ mathematical studies. The Math Center also offers computer-based learning and tutorial services. In the Library, videotapes are available on topics ranging from arithmetic to calculus. A placement test must be taken in order to be placed in the appropriate course. See section on placement tests.

The design, review, and modification of mathematics courses offered at Capital Community College take into account Mathematics Reform principles such as those expressed by the American Mathematical Association of Two-Year Colleges in Crossroads In Mathematics: Standards for Introductory College Mathematics Before Calculus. Thus, course content and pedagogy may include Mathematics Reform concepts. A calculator is required for each course as indicated below.
  

  • MAT* 172 - College Algebra

    Credit(s): 3
    Prerequisite(s): Grade of C- or better in MAT* G137, grade of C- or better in MAT*G139, grade of C- or better in MAT* G184, or qualifying score on Placement Test.
    Course presents higher-level topics in algebra needed for success in pre-calculus and, ultimately, the calculus series. Topics include a review of linear, quadratic, and radical functions, systems of equations, matrix algebra, systems of linear and nonlinear inequalities, functions, inverse and composite functions, transformations of functions, laws of logarithms, exponential and logarithmic functions, and conic sections. Students will model and explore real world applications using the topics listed. This course requires the use of a graphing calculator (preferably TI-83+).
  

  • MAT* 186 - Pre-Calculus

    Credit(s): 4
    Prerequisite(s): Grade of C- or better in MAT* G172, or qualifying score on the placement test.
    Algebra, trigonometry, and analytic geometry are studied. Topical considerations include: composite functions, polynomial and rational functions, trigonometric functions, applications of trigonometry to right and oblique triangles, complex numbers, operations with vectors, polar coordinates, parametric equations, sequences, series, summation notation, binomial theorem. This course will require the use of a graphing calculator.
  

  • MAT* 230 - Applied Calculus

    Credit(s): 3
    Prerequisite(s): Grade of D- or better in MAT* 137  or MAT* 139 , or qualifying score on Placement Test.
    Course in selected topics from calculus with applications in business, economics and social science. This course is intended for students pursuing degrees in social and behavioral sciences, business and management. Topics include linear and non-linear functions, limits, derivatives and integrals. This course requires the use of a graphing calculator (preferably TI-83+).
  

  • MAT* 254 - Calculus I

    Credit(s): 4
    Prerequisite(s): MAT* G186, MAT* G172 and MAT*G184, or qualifying score on Placement Test.
    Course includes a study of limits and continuity, derivatives and their applications, definite integrals, applications of definite integrals to area and motion, and an introduction to differential equations. The concepts of calculus are applied to polynomial, rational, exponential, logarithmic, and trigonometric functions. This course requires a graphing calculator and may include use of a computer software package.
  

  • MAT* 256 - Calculus II

    Credit(s): 4
    Prerequisite(s): MAT* 254 .
    This course deals with constructing antiderivatives, techniques of integration, approximating definite integrals, applications of definite integrals, polar coordinates, parametric equations, indeterminate forms, improper integrals, sequences, infinite series, tests for convergence, Taylor series and differential equations. This course will require use of a graphing calculator and may include use of a computer software package.
  

  • MAT* 268 - Calculus III

    Credit(s): 4
    Prerequisite(s): MAT* 256 .
    Topics studied in this course include vectors, analytic geometry in 3-space, partial derivatives, gradients, direction and derivatives, multiple integrals, line and surface intervals, Greens and Stokes Theorems, and continued introduction to differential equations. This course will incorporate calculus reform elements such as the use of the graphing calculator or the computer, and writing assignment(s).