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2020-2021 Catalog [ARCHIVED CATALOG]
Course Descriptions
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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.
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MAT* 085 - Elementary Algebra and Pre-Algebra
Credit(s): No credit
This course addresses algebraic symbolism, properties of the real numbers, operations on algebraic expressions, solving linear equations and inequalities, operations on polynomials, laws of exponents, factoring, solving quadratic equations by factoring, graphing equations, finding equations of lines, applying algebra to geometry, introduction to metric system, converting between units of measure, and scientific notation. Students will apply course topics to model and solve real world problems in a participatory learning environment. Students are expected to complete computer-based assignments in a computer lab for two hours each week. This course requires the use of a scientific calculator.
Lecture: 6 hours per week. Semester Hours: 6 semester hours
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MAT* 088 - Foundations of Quantitative Reasoning
Credit(s): No credit
Prerequisite(s): Qualifying score on placement test.
Quantitative reasoning-the ability to critically examine, explore, analyze, and manipulate quantitative information - is an essential skill for academic and career success in the 21st century. In this course, students will explore real world situations and develop critically important numerical reasoning, proportional reasoning, algebraic reasoning, and statistical thinking abilities. Topics include mathematical problem solving, proportions, linear functions, mathematical modeling, descriptive statistics, and mathematics of personal finance.
Lecture: 6 hours per week. Semester Hours: 6 semester hours
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MAT* 092 - Statway I
Credit(s): No credit
Prerequisite(s): Qualifying score on placement test, co-requisite of ENG* 073 or qualifying Score on Placement Test, or permission of Chair of Science and Mathematics Department.
Statway I is the first course in the two semester Statway course sequence. The Statway course sequence is recommended for students enrolled in degree programs that require no mathematics beyond freshman-level statistics. Both courses in the course sequence, Statway I and Statway II, must be taken to receive credit for college level statistics. Students will use mathematical and statistical tools to explore real life data in a participatory learning environment. Statway I topics include an introduction to data analysis, statistical studies, sampling, experimental design, descriptive statistics techniques, scatterplots, correlation and regression, modeling data with functions, linear and exponential functions, and probability. This course requires the use of statistical technology.
Lecture: 4 hours per week. Semester Hours: 4 semester hours
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MAT* 095 - Elementary Algebra
Credit(s): No credit
Prerequisite(s): Qualifying score on Placement Test.
Elementary Algebra addresses algebraic symbolism, properties of the real numbers, operations on algebraic expressions, solving linear equations and inequalities, operations on polynomials, laws of exponents, factoring, solving quadratic equations by factoring, graphing equations, finding equations of lines, applying algebra to geometry, introduction to metric system, converting between units of measure, and scientific notation. This course requires use of a scientific calculator.
Lecture: 3 hours per week. Semester Hours: 3 semester hours
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MAT* 104 - Quantitative Reasoning: Quantway I
Credit(s): 3
Prerequisite(s): MAT* 085 or Qualifying score on Placement Test.
Quantitative reasoning - the ability to critically examine, explore, analyze, and manipulate quantitative information - is an essential skill for academic and career success in the 21st century. In this course, students will explore real world situations and develop critically important numerical reasoning, proportional reasoning, algebraic reasoning, and statistical thinking abilities. Topics include mathematical problem solving, proportions, linear and exponential functions, mathematical modeling, descriptive statistics, and mathematics of personal finance. This course requires the use of a graphing calculator.
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MAT* 122 - Statway II
Credit(s): 4
Prerequisite(s): MAT* 092 .
Statway II is the second course in the two semester Statway course sequence. The Statway course sequence is recommended for students enrolled in degree programs that require no mathematics beyond freshman-level statistics. Both courses in the course sequence, Statway I and Statway II, must be taken to receive credit for college level statistics. Students will use mathematical and statistical tools to explore real life data in a participatory learning environment. Statway II topics include modeling data with functions, quadratic functions, discrete and continuous probability distributions, Central Limit Theorem, sampling distributions, confidence intervals, one-sample and two-sample hypothesis tests, Chi-Square Tests, and ANOVA. This course requires the use of statistical technology.
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MAT* 137 - Intermediate Algebra
Credit(s): 3
- On Campus and Online -
Prerequisite(s): MAT* G085 with grade of C- or better, MAT* G095 with grade of C- or better, MAT* G104 with grade of C- or better, or qualifying score on Placement Test.
This course builds on the Introductory Algebra foundation, deepening the study of some topics, and introducing new ones. Topics include equations and inequalities, graphing, relations and functions, radicals and quadratics, and systems of equations. Real world applications of the listed topics will be highlighted. This course will include use of a graphing calculator.
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MAT* 137L - Intermediate Algebra for Liberal Arts
Credit(s): 3
Prerequisite(s): MAT* 085 with a grade of C- of better, or MAT* 095 with a grade of C- or
better, or MAT* 104 with a grade of C- or better, or appropriate placement test score.
This course involves a further study of algebra and mathematical modeling of functions and relations represented by tables, graphs, words, and symbols. Topics covered will include linear, quadratic and exponential functions with an emphasis on modeling real-world applications. This is a credit level math course intended for students in NON-STEM programs of study. This course is only a prerequisite for Principles of Statistics (MAT 167).
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MAT* 139 - Introductory and Intermediate Algebra Combined
Credit(s): 3
Prerequisite(s): MAT* G085 with grade of C- or better, MAT* G095 with grade of C- or better, or qualifying score on Placement Test.
This course addresses algebraic symbolism, properties of the real numbers, operations on algebraic expressions, solving linear equations and inequalities, operations on polynomials, laws of exponents, factoring, solving quadratic equations by factoring, graphing equations, finding equations of lines, applying algebra to geometry, introduction to metric system, converting between units of measure, and scientific notation. Topics also include graphing functions, relations and functions, radicals and rational exponents, quadratics, and systems of equations. Real world applications of the listed topics will be highlighted. This course will include use of graphing calculator. MAT* G139 combines the content of MAT* G095 with MAT* G137 into a one semester course.
Lecture: 4 hours per week. Lab: 1 hours per week. Semester Hours: 5 semester hours
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MAT* 167 - Principles of Statistics
Credit(s): 3
- On Campus and Online -
Prerequisite(s): Grade of D- or better in MAT* 137 , MAT* 139 , or MAT* 184 or grade of C+ or better in MAT* 104 , or qualifying score on mathematics Placement Test.
This course addresses descriptive statistics, inferential statistics, and probability. The descriptive methods include the concept of population versus sample, frequency distributions, measures of central tendency, and measures of dispersion. The inferential methods involve hypothesis testing, point and interval estimation, correlation and regression, and analysis of variance. Topics from probability include sample spaces, laws of probability, as well as discrete and continuous probability distributions. This course requires use of a graphing calculator with statistics capability. The course may require use of a computer-based statistics package.
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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+).
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MAT* 184 - Trigonometry with Embedded Algebra
Credit(s): 4
Prerequisite(s): MAT* 085 , MAT* 095 , MAT* 104 , or a qualifying score on Placement Test.
This course introduces trigonometry through a functional approach. Trigonometric functions are defined through the unit circle and then applied to triangulation problems. Topics include trigonometric identities, inverse trigonometric functions, oblique triangle trigonometry and the graphs of the trigonometric functions, vectors and the polar coordinate system. Linear, rational, and quadratic functions will be explored in support of the learning of trigonometry. This course will require the use of a graphing calculator.
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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.
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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+).
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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.
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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.
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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).
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