Course Descriptions
Pre-Algebra
MTH004
Preparation for MTH 011 or MTH 005. Review of fundamental arithmetic concepts and skills, with a focus on problem solving and an introduction to algebraic representation. Topics include arithmetic operations with whole numbers, fractions and decimals, percents, ratios and proportions, the English System of measurement, geometry, and an introduction to solving and graphing linear algebraic equations. Technology is used to enhance thinking and understanding, to solve problems, and to judge/verify results. Course does not satisfy any course or elective requirement, regardless of academic major.
3 Credits: 3 Lecture
Prerequisites:
Placement by Examination
Elementary Algebra I
MTH005
Study designed for students with little or no background in algebra. Topics include real numbers, variable expressions, linear equations in one and two variables, inequalities, exponents and scientific notation, polynomial operations, and application problems. Emphasis on math study skills. Technology is used to enhance thinking and understanding, to solve problems, and to judge/verify results. Verbal, numerical, graphical and symbolic approaches assist in the discovery and communication of mathematical concepts. Course does not satisfy any course or elective requirement, regardless of academic major.
3 Credits: 2 Lecture, 3 Lab
Prerequisites:
MTH004 or Placement by Examination
Elementary Algebra II
MTH008
Study designed for students with a limited background in algebra in preparation for MTH 181. Topics include systems of linear equations, polynomial factoring and equations, rational expressions and equations, radical expressions, quadratic equations, and application problems. Emphasis on math study skills. Technology is used to enhance thinking and understanding, to solve problems, and to judge/verify results. Verbal, numerical, graphical, and symbolic approaches assist in the discovery and communication of mathematical concepts. Course does not satisfy any course or elective requirement, regardless of academic major.
3 Credits: 2.50 Lecture, 1.50 Lab
Prerequisites:
Placement by Examination; or
MTH005
Career Mathematics
MTH011
Survey of practical mathematics; designed for students enrolled in certificate programs in technical areas. Topics include a basic math review; use of technology; systems of measurement; solutions of simple algebraic equations, including ratio and proportion; algebraic graphs; practical plane geometry; solid geometry; right angle geometry; interpretation of data including formulas, graphs and tables; descriptive statistics; personal financial calculations; and vectors. Traditional study is enhanced through collaborative group activities, demonstrations, projects, activities involving technology, hands-on construction, and models.
3 Credits: 2.50 Lecture, 1.50 Lab
Prerequisites:
MTH004 or Placement by Examination
Elementary Algebra II
MTH108
Study designed for students with a limited background in algebra in preparation for MTH181. Topics include systems of linear equations, polynomial factoring and equations, rational expressions and equations, radical expressions, quadratic equations, and application problems. Emphasis on math study skills. Technology is used to enhance thinking and understanding, to solve problems, and to judge/verify results. Verbal, numerical, graphical, and symbolic approaches assist in the discovery and communication of mathematical concepts. Course does not satisfy any quantitative thinking core foundation (MTH) requirement regardless of academic major; however, it can be used to satisfy an open elective (OEA) or an open exploration elective (OEE) requirement. A grade of ‘C’ or higher is required to advance to MTH181.
3 Credits: 2.50 Lecture, 1.50 Lab
Business Mathematics
MTH113
General education course for non-STEM (science, technology, engineering and math) majors. Topics include linear equations, systems of linear equations, graphing, metric system, cash and trade discounts, markup, markdown, payroll, interest, descriptive statistics, interpretation of data from graphs and tables, depreciation, breakeven analysis, and valuation of inventory. Emphasizes the interconnections of mathematical concepts. Multiple approaches, including technology, are used to emphasize conceptual understanding of business applications.
3 Credits: 3 Lecture
Prerequisites:
MTH005 or Placement by Examination
Technical Algebra & Trigonometry I
MTH123
Study of intermediate algebra and trigonometry, designed to prepare students for coursework in their technical majors. Topics include algebraic expressions, linear equations, ratios, proportions and variation, systems of equations, geometry, right triangle trigonometry, functions, and graphs. Emphasis on problem solving and technical application as well as the use of technology. Not designed to prepare students for calculus. (formerly MTH124)
3 Credits: 2.50 Lecture, 1.50 Lab
Prerequisites:
MTH005 or Placement by Examination
Structures of Mathematics
MTH151
General education course for non-STEM (science, technology, engineering and math) majors. Topics include set theory, logic, number theory and the real number system, and personal finance. Emphasizes the interconnections of mathematical concepts.
3 Credits: 3 Lecture
Prerequisites:
MTH005 or Placement by Examination
Topics in Mathematics
MTH153
General education course for non-STEM (science, technology, engineering and math) majors. Topics include geometry, systems of linear equations, probability, and statistics as well as their applications. Emphasizes the interconnections of mathematical concepts.
3 Credits: 3 Lecture
Prerequisites:
MTH005 or Placement by Examination
Business Statistics
MTH157
Introduction of frequently applied statistical methods with an emphasis in business applications. Topics include graphical summaries; descriptive statistics; linear regression and correlation; elementary probability; binomial, Poisson, and normal distributions; time series analysis, and confidence intervals and tests of hypotheses for one and two samples. A graphing calculator and/or a statistical software package is used to assist in achieving course outcomes. Students satisfying a quantitative thinking core foundation requirement with MTH 157 cannot also use MTH 159 or MTH 161 to satisfy an additional quantitative thinking core foundation requirement.
3 Credits: 3 Lecture
Prerequisites:
Placement by Examination; or
MTH005
Statistics for Health & Behavioral Sciences
MTH159
Introduction of frequently applied statistical methods with an emphasis on applications in the health and behavioral sciences. Topics include graphical summaries, descriptive statistics, linear regression and correlation, elementary probability including risk and odds, the normal distribution, confidence intervals and tests of hypotheses for one and two samples, ANOVA, Chi-square test, and logistic regression. A graphing calculator and/or a statistical software package is used to assist in achieving course outcomes. Students satisfying a quantitative thinking core foundation requirement with MTH 159 cannot also use MTH 157 or MTH 161 to satisfy an additional quantitative thinking core foundation requirement.
3 Credits: 3 Lecture
Prerequisites:
Placement by Examination; or
MTH005
Statistics for STEM Fields with Computer Applications
MTH161
Introduction of frequently applied statistical methods. Topics include graphical summaries, descriptive statistics, linear regression and correlation, elementary probability, the normal distribution, sampling distributions and the Central Limit Theorem, confidence intervals and tests of hypotheses for one and two samples, and ANOVA. Computer applications include the use of plots, application of standard methods to real data, in-depth exploration of data, simulation as a learning tool, and screening data for errors. Students satisfying a quantitative thinking core foundation requirement with MTH 161 cannot also use MTH 157 or MTH 159 to satisfy an additional quantitative thinking core foundation requirement.
3.50 Credits: 3 Lecture, 1.50 Lab
Prerequisites:
Placement by Examination; or
MTH005
Introduction to Geometry
MTH172
Survey of classical and modern geometry. Classical geometry topics include systems of measurement, pattern recognition, symmetry, planar and spatial figures, congruence and similarity, area and volume, geometric constructions, special triangles and trigonometry, and coordinate geometry. Modern geometry topics include subjects in both Euclidean and non-Euclidean geometry. Students should be successful with a minimal algebra background. No prior exposure to geometry is assumed.
3 Credits: 2.50 Lecture, 1.50 Lab
Prerequisites:
Placement by Examination; or
MTH005
College Algebra & Trigonometry I
MTH181
Study of pre-calculus algebra and an introduction to trigonometry. Topics include linear, quadratic, polynomial, rational, radical and trigonometric functions; equations; inequalities; right triangle trigonometry; and sine and cosine laws. Emphasis on conceptual understanding, problem solving, and graphing technology using the language, symbols, and algorithms of algebra. (formerly MTH180)
3 Credits: 2.50 Lecture, 1.50 Lab
Prerequisites:
MTH006; or
MTH008; or
MTH125; or
MTH108 or Placement by Examination
College Algebra & Trigonometry II
MTH183
Comprehensive study of pre-calculus algebra and trigonometry and introductory matrix theory. Topics include exponential, logarithmic, and trigonometric functions, models and their graphs; analytic trigonometry; trigonometric equations; trigonometric form of complex numbers; multivariable systems of linear equations; and matrices. Emphasis on conceptual understanding, problem solving, and integration of graphing technology, using the language, symbols, and algorithms of algebra and trigonometry. (formerly MTH182)
3 Credits: 2.50 Lecture, 1.50 Lab
Prerequisites:
MTH180; or
MTH181
Pre-Calculus
MTH191
Accelerated study, providing a pre-calculus background through meaningful development of concepts, connections among topics, and application. Topics include polynomial, rational, exponential, logarithmic, and trigonometric functions with modeling and graphing; analytic trigonometry; trigonometric form of complex numbers; multivariable systems of linear equations; and matrices. Emphasis on conceptual understanding, problem solving, and integration of graphing technology, using the language, symbols, and algorithms of algebra and trigonometry. This accelerated, one-semester course replaces the MTH 181 and MTH 183 combination; may not be taken for credit by students who have successfully completed those courses. (formerly MTH190)
3 Credits: 2.50 Lecture, 1.50 Lab
Prerequisites:
Placement by Examination
Statistical Methods with Computer Applications
MTH210
Continuation of statistical theories and applications used widely in applied fields. Topics include experimental design and survey, use of the Chi-square, geometric and Poisson distributions, analysis of variance, analysis of regression and correlation, and non-parametric statistics. Course work includes analysis of appropriate research, computer applications using a statistical software package, and a project. As needed.
3 Credits: 2 Lecture, 3 Lab
Prerequisites:
MTH006 and MTH161; or
MTH161 and Placement by Examination; or
MTH008 and MTH161
Applied Calculus
MTH230
Topics include conics; limits; differentiation of algebraic, trigonometric, and transcendental functions; integration of algebraic functions; graphing; and applied problem solving involving differentiation and integration.
3 Credits: 3 Lecture
Prerequisites:
MTH180 and MTH182; or
MTH181 and MTH183; or
MTH190; or
MTH191; or
MTH180 and MTH183 or Placement by Examination
Calculus I
MTH240
Topics include review of algebra; functions; limits; continuity; derivatives; applications of the derivative such as velocity, rates of change, curve sketching, related rates, maximum-minimum theorems, and differentials; antiderivatives; and applied problem solving.
4 Credits: 4 Lecture
Prerequisites:
MTH180 and MTH182; or
MTH181 and MTH183; or
MTH190; or
MTH191; or
MTH180 and MTH183 or Placement by Examination
Calculus II
MTH242
Continued study of calculus topics, including techniques of integration such as substitution, integration by parts, trigonometric substitution, and partial fractions; applications of integration including area, volume of solids of revolution, arc length, work, moments and centers of gravity; infinite series; and applied problem solving.
4 Credits: 4 Lecture
Prerequisites:
MTH240
Discrete Mathematics
MTH252
Introduction to discrete mathematical structures. Topics include sets and sequences, properties of integers, matrices, logic and proofs, combinatorics, graphs and relations, and functions.
3 Credits: 3 Lecture
Prerequisites:
MTH240
Linear Algebra
MTH255
Study of vector spaces. Topics include linear independence, bases and dimension, linear transformation matrices, and systems of linear equations. Spring Only.
3 Credits: 3 Lecture
Prerequisites:
MTH180 and MTH182; or
MTH181 and MTH183; or
MTH190; or
MTH191; or
MTH230; or
MTH240 or Placement by Examination
Calculus III
MTH340
Continuation of MTH 242. Topics and applications include vectors and their properties in two and three-dimensional space, vector-valued functions, functions of several variables, partial derivatives, and double and triple integrals. Fall Only.
4 Credits: 4 Lecture
Prerequisites:
MTH242
Ordinary Differential Equations
MTH346
A one-semester course designed for mathematics, science, engineering, and technology students. Topics include techniques for solving first order separable and non-separable differential equations, high-order linear homogeneous and nonhomogeneous differential equations, systems of linear differential equations, Laplace transformations, numerical methods, applications and existence theorems. Spring Only.
4 Credits: 4 Lecture
Prerequisites:
MTH242