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# Math Courses and Syllabi

## Developmental Math Courses

** MAT 090 Basic Mathematics Skills** | MAT 090 Sample Syllabus

**Prerequisite**: Appropriate placement score

**Credits**: 3

*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

This course is designed for students with little or no background in mathematics. Major topics include the following: whole numbers, fractions, decimals, percents, ratios, proportions, basic statistics (finding mean and reading graphs, charts and tables) and an introduction to algebra. Technology tools are utilized in this course.

** MAT 095 Beginning Algebra** | MAT 095 Sample Syllabus

**Prerequisite**: MAT 090 with a grade of C or higher; or appropriate placement score

**Credits**: 3

*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

This course covers all basic operations of real numbers, linear and literal equations, graphing lines (using tables, x and y-intercepts), the arithmetic of polynomial expressions including properties of exponents, solving and graphing linear inequalities, perimeters and areas of basic figures, scientific notation and intrasystem metric conversions. Technology tools are utilized in this course.

** MAT 098 Math for Allied Health** | MAT 098 Sample Syllabus

**Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement score

**Credits**: 3

*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

The course focuses on practical and useful applications of mathematics for students intending to enter the health science fields. Students examine mathematical topics as they relate to health applications. Topics include: basic arithmetic computations in health applications; review of algebra; systems of measurement; medication labels, prescriptions, and syringe calculations; modeling health applications with ratios and proportions; dosage calculations; and basics of statistics.

** MAT 099 Intermediate Algebra** | MAT 099 Sample Syllabus

**Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement score

**Credits**: 3

*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

The course covers major topics in the study of algebra. Students learn to factor polynomials (common factor, grouping, difference of squares and trinomials), perform arithmetic operations on rational expressions and complex fractions, and solve rational, quadratic (by factoring and formula) and literal equations. The course also covers applications including the use of the Pythagorean Theorem, understanding the definition of radical expressions, simplifying radical expressions containing numerical and variable radicands, graphing linear equations using slope-intercept concepts, and solving 2×2 systems of linear equations by graphing and elimination. Technology tools are utilized in this course.

## Education Math Courses

** MAT 111 Math for Educators I** | MAT 111 Sample Syllabus

**Prerequisite**: MAT 099 with a grade of C or higher; or appropriate placement score

**Credits**: 3

*(NOTE: Restricted to General Studies - Elementary Education Transfer Option and ECE Program students)*

This course focuses on the critical Mathematical concepts necessary for students who are pursuing the Elementary Education Transfer Option in the General Education-Associate in Arts degree program. Students construct and apply problem solving techniques to solve problems, apply arithmetical operations on integers, rational numbers and decimals, and develop an understanding of mathematical relationships using equations, draw conclusions based upon geometric pattern and interpret data. Students construct geometric patterns and graphical data into algebraic equations; construct a geometric or graphical model given an algebraic equation. Instructor modeling is an integral component of the course.

** MAT 112 Math for Educators II** | MAT 112 Sample Syllabus

**Prerequisite**: MAT 111

**Credits**: 3

*(NOTE: Restricted to General Studies - Elementary Education Transfer Option and ECE Program students)*

This course continues the comprehensive focus on the critical Mathematics concepts necessary for students who are pursuing and Early Childhood and/or General Studies Elementary Education degree. Students develop an understanding of the principles of Euclidean geometry and use them to prove theorems. In addition, students apply Euclidean geometry to analyze the characteristics and properties of two and three-dimensional shapes, coordinate geometry, and transformations. Fundamental principles of probability and statistics explored. Students develop a deep level of understanding of geometry, probability, and statistics in order to become successful elementary and middle school teachers. Instructor modeling is an integral component of the course.

## Non-Calculus Math Courses

** MAT 103 Mathematics for Business** | MAT 103 Sample Syllabus

**Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement score

**Credits**: 3

This course introduces the mathematical processes and techniques currently used in the field of business and finance. Students use practical examples throughout to illustrate the relevance of analyzing and interpreting data in business and financial management. Students learn sound decision making skills that will aid them in fulfilling their roles as citizens, consumers, employees, employers, investors, and entrepreneurs. The course introduces business statistics and continues with business and financial topics including bank services, business and consumer loans, simple and compound interest, payroll taxes, risk management, the mathematics of buying, break-even and cost-volume-profit analysis, discounts, markups and markdowns, inventory control, stocks and bonds, annuities and sinking funds, depreciation, interpreting financial statements and financial analysis.

** MAT 121 Topics in Mathematics** | MAT 121 Sample Syllabus

**Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement score

**Credits**: 3

This course explores various areas in contemporary mathematics and consists of two components: required topics and optional topics. Required topics include mathematical patterns and problem solving, consumer finance, probability, statistics and Euclidean and transformational geometry. Optional topics may be chosen from the following: linear functions and applications; numeration systems; sets; logic; graph theory; election theory; apportionment; tessellations and fractals; and cryptography; in addition, instructors may also choose to expand upon the required topics.

** MAT 122 Statistics** | MAT 122 Sample Syllabus

**Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement score

**Credits**: 3

This course covers the essentials of statistics. Students learn descriptive and inferential statistics; charts (histograms, frequency polygons, ogives, and pie charts); measures of central tendency (mean, median, mode, and weighted mean); and measures of dispersion (range, variance, and standard deviation). Additional areas of study include discrete and continuous random variables; basic probability theory; the binomial distribution and its application in binomial experiments; standard and non-standard normal distributions; the Central Limit Theorem; confidence intervals for means, proportions, and variances; linear correlation and regression; and the one sample hypotheses test for mean (large and small sample), proportions, and variances.

** MAT 147 Mathematics for Technicians I | **MAT 147 Sample Syllabus

**Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement score

**Credits**: 4

*(NOTE: Restricted to Applied Manufacturing Option (MPA), Electronics Engineering Technology- Mechatronics Option (EEMO), Manufacturing Technology (MP), Electronics Engineering Technology – Biomedical Instrumentation Option (EEBI), Electronics Engineering Technology – Photonics Option (EEPH), Energy Utility Technology Certificate – (EUTC))*

This course covers applied mathematical concepts and methods: Content includes a review of basic concepts of arithmetic operations on scientific and engineering notation and algebra. Students are introduced to simple equations, functions and graphs, geometry, right triangles, vectors and oblique triangles. Students learn applications to systems of linear equations, matrices and determinants, ratio, proportion and variation. Solving quadratic equations, basic rules of factoring, power rule, exponents and radicals, radian measure, arc length, and rotation. Pythagorean Theorem and the six trigonometric ratios are also covered.

** MAT 148 Mathematics for Technicians II** | MAT 148 Sample Syllabus

**Prerequisite**: MAT 147

**Credits**: 4

*(NOTE: Restricted to Applied Manufacturing Option (MPA), Electronics Engineering Technology- Mechatronics Option (EEMO), Manufacturing Technology (MP), Electronics Engineering Technology – Biomedical Instrumentation Option (EEBI), Electronics Engineering Technology – Photonics Option (EEPH), Energy Utility Technology Certificate – (EUTC))*

This course covers applied mathematical and statistical concepts and methods: Topics include Trigonometry, parametric, and polar graphs; Trigonometric identities and equations; Exponential and logarithmic functions; Complex numbers and their applications; Series, sequences and the binomial theorem; Introduction to statistics and probability; Process Control, Correlation and Regression Analysis; Derivatives of algebraic functions.

## Calculus-Prep Math Courses

** MAT 100 College Algebra |** MAT 100 Sample Syllabus

**Prerequisite**: MAT 099 with a grade of C or higher; or appropriate placement score

**Credits**: 3

This course continues the areas of study presented in Intermediate Algebra with more advanced treatment. Students perform arithmetic operations on rational expressions; solve equations with fractions; factor expressions; simplify complex fractions; simplify exponential expressions, roots, radicals, and rational exponents; solve linear systems using several techniques; use the midpoint and distance formulas; recognize and graph the equation of a circle; solve linear and absolute value inequalities; solve quadratic equations by completing the square and by using the quadratic formula; solve equations containing radicals or absolute values; and perform arithmetic operations on radical expressions and complex numbers.

** MAT 123 College Mathematics I: Pre-Calculus** | MAT 123 Sample Syllabus

**Prerequisite**: MAT 100 or appropriate placement score

**Credits**: 3

This course focuses on the knowledge and skills necessary for advanced mathematics. Students expand binomial expressions using the binomial theorem; solve non-linear, and rational inequalities and write their solutions using interval notation; determine and write linear equations in several forms; explain the concept of function; graph functions using symmetry test; recognize and graph functions, including constant, linear, quadratic, polynomial, rational, exponential, and logarithmic functions; use function transformation techniques; perform composition and arithmetic operations on functions; find and graph inverses of functions; use properties of logarithms; and solve logarithmic and exponential equations.

** MAT 124 College Mathematics II: Trigonometry** | MAT 124 Sample Syllabus

**Prerequisite**: MAT 123 or appropriate placement score

**Credits**: 3

Students solve right and oblique triangles and related applications; perform vector computations and use vector concepts to solve applications; determine the values of trigonometric ratios of angles and the values of inverse trigonometric ratios of real numbers; work with angles measured in degrees-minutes-seconds or radians; solve uniform circular motion problems; learn the traditional trigonometric identities and use them to prove other identities; perform transformations of basic trigonometric graphs; write equations to describe specific instances of harmonic motion; and solve trigonometric equations.

** MAT 125 Discrete Mathematics** | MAT 125 Sample Syllabus

**Prerequisite**: MAT 123 or appropriate placement score

**Credits**: 3

This course provides an introduction to the basic concepts in Discrete Mathematics. Topics include predicate and propositional calculus, sets, proof techniques, permutations and combinations, probability, relations, closure, partial order, functions, graph connectivity and shortest paths, and an introduction to languages, grammars and nondeterministic finite-state machines.

## Calculus & Calculus-Based Math Courses

** MAT 231 Applied Calculus** | MAT 231 Sample Syllabus

**Prerequisite**: MAT 123 or appropriate placement score

**Credits**: 3

This course begins with a review of the basic concepts of functions and function notation. After introducing the limit and continuity theorems on an intuitive basis, the study of differentiation begins. Typical derivative formulae are applied to polynomial, rational, implicit, exponential and logarithmic functions. Application topics include extreme, related rates, biochemical reaction, cost-benefit analysis, growth and decay, maximizing revenue, elasticity of demand, inflation, amortization, drug concentration, drug reaction, and continuous probability models. The basic rules of integration and the substitution method are introduced along with Riemann Sums and the Fundamental Theorem of Calculus.

**This course is designed for students considering a major in business, pharmaceutical, social, and life sciences.**

** MAT 233 Calculus I** | MAT 233 Sample Syllabus

**Prerequisite**: MAT 124

**Credits**: 4

This course begins with a review of functions and functional notation. After introducing the limit and continuity theorems on an intuitive basis, the study of differentiation begins. Typical derivative formulae are applied to polynomial, rational, trigonometric, and implicit functions. Application topics include extrema, related rates, curve sketching, and velocity and acceleration. The basic rules of integration and the substitution method are introduced along with Riemann Sums and the Fundamental Theorem of Calculus.

** MAT 234 Calculus II** | MAT 234 Sample Syllabus

**Prerequisite**: MAT 233

**Credits**: 4

This course focuses on expanded methods of integration and their application. Derivatives of the exponential, logarithmic and inverse trigonometric functions as well as their antiderivatives will be examined. Students learn to compute the customary antiderivatives of functions and apply antidifferentiation to such areas as volumes, moments, centroids, arc lengths and surfaces of revolution. Students will be introduced to differential equations. The use of L’Hopital’s Rule and the evaluation of improper integrals are examined. The convergence tests of infinite series as well as the Power, Taylor and Maclauren series are analyzed.

** MAT 235 Calculus III** | MAT 235 Sample Syllabus

**Prerequisite**: MAT 234

**Credits**: 4

This course covers conic sections, rotation of axis, plane curves, parametric equations, vectors; polar, cylindrical, and spherical coordinates and graphs; vector-valued functions, differentiation, and integration; functions of several variables, partial derivatives, gradients; applications of extrema of functions, Lagrange multipliers; multiple integrations; area, volume, center of mass, moment of inertia, change of variables, Jacobians; Green’s divergence and Stokes’ theorems. Students learn to use calculus to solve engineering and scientific problems. The course concludes with some elementary differential equations.

** MAT 237 Probability & Statistics for Engineers and Scientists** | MAT 237 Sample Syllabus

**Prerequisite**: MAT 234

**Credits**: 3

This course focuses on statistics and engineering. It covers interpretation, description, and treatment of data; probability and probability distributions; binomial, geometric, and hypergeometric methods; poisson processes; gamma, beta, and Weibull distribution; populations and samples; inferences, hypotheses, and significance tests; Bayesian estimates; curve fitting; the method of least squares; curvilinear regression, correlation, and experimental design. Students use calculators and statistical software to solve statistical problems.

** MAT 238 Differential Equations** | MAT 238 Sample Syllabus

**Prerequisite**: MAT 235

**Credits**: 3

This course covers definition of differential equations, solution of differential equations, separation of variables, homogeneous and nonhomogeneous solutions, Wronskian, second and higher order equations, solution of systems of linear differential equations, numerical methods, linear independence, the Laplace transform, transforms of derivatives, derivatives of transforms, the Gamma function, inverse transforms, and convolution theorem. Students use mathematical software to solve differential equations for numerical methods.

** MAT 243 Linear Algebra** | MAT 243 Sample Syllabus

**Corequisite**: MAT 238

**Credits**: 3

This course covers systems of linear equations, matrices, reduced echelon forms, vectors in Rn, linear independence and transformations, matrix operations, inverse of a matrix, determinants, vector space, rank, subspaces, bases, eigen vectors and eigen values, the characteristic equations, diagonalization, complex eigen values, numerical methods for solving linear systems, and orthogonality. Students learn to use linear algebra to solve problems in differential equations, statistics, and engineering design. Students also use mathematical software to solve higher order systems of equations and matrices.