# Mathematics Courses at MCC

Students MUST take the **Math Placement Test**. Test results will help place students into the appropriate math course. Before enrolling in math courses numbered MATH-100A or above, you must demonstrate that you are **Ready to Succeed**.

To see a visual flowchart of our math courses, prerequisites, and corequisites, go to the **Math Flowchart**.

**MATH-040 Beginning Algebra**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisite: Assignment by Math Placement Test or must have earned a grade of "C" or better in MATH 038. An introductory course for students who have not successfully passed a high school algebra course, or who have lost their facility with algebra as time has passed. Fractions, signed numbers, and order of operations are reviewed. Variables and equation solving are introduced, along with exponents, polynomials, factoring, rational expressions, graphing, solving systems of two equations in two variables, and word problems.

**MATH-100A Intermediate Algebra**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisite: Assignment by Math Placement Test or must have earned a grade of "C" or better in MATH-040 . A second course in algebra in which concepts developed in Math 40 are studied in more depth. New topics include fractional exponents, radicals, the quadratic formula, systems of equations with 2 and 3 unknowns, function notations, and an introduction to logarithms.

**MATH-105 Mathematics for Elementary Teachers**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisite: Assignment by Math Placement Test or must have earned a grade of "C" or better in MATH-100A . Not a "methods" course. A general course for students majoring in elementary education. The basic ideas behind our number system and geometric concepts are discussed. Topics include: problem solving, sets, system of numeration, the real number system, geometry, and metric measure.

**MATH-107A Math for Liberal Arts**—Cr. Hrs. – 4 Contact Hrs. Prerequisite: Assignment by Math Placement Test or must have earned a grade of "C" or better in MATH-040. A survey of mathematics intended for students whose program of study has no further mathematics requirements. Its purpose is to develop mathematical literacy in today’s world. This course satisfies the general education requirements for mathematics. Topics are selected from finance mathematics, scheduling, logic, geometry, decision making, patterns and art, modeling, and applications.

**MATH-109 College Algebra with Applications**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisites: Assignment by Math Placement Test or must have earned a grade of "C" or better in MATH-100A. A college algebra course stressing applications and graphing in the following areas: the process of creating a mathematical model of a real life situation, linear, quadratic, periodic, exponential and logarithmic models; mathematics of finance; selected topics in probability. TI-83, or TI-84 graphing calculator required.

**MATH-111 Algebra With Coordinate Geometry**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisites: Assignment by Math Placement Test or must have earned a grade of "C" or better in MATH-100A. Precalculus algebra and analytic geometry designed for the student who will be taking calculus. Topics include: solving equations and inequalities algebraically and graphically; functions and graphs; polynomial functions; rational functions and functions involving radicals; exponential and logarithmic functions; linear systems and matrices. Graphing calculator required (TI-83 or higher recommended).

**MATH-112 Trigonometric Functions with Coordinate Geometry**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisite: Assignment by Math Placement Test or must have earned a grade of "C" or better in MATH-111. Pre-calculus trigonometry and analytic geometry designed for the student who will be taking calculus. Topics include: trigonometric functions, identities and equations, graphs of trigonometric functions and their inverse functions, solution of triangles, sequences and series, polar coordinates, parametric equations, DeMoivre’s Theorem, binomial theorem, mathematical induction, and conic sections. Graphing calculator required (TI-83 or higher recommended).

**MATH-115 Probability and Statistics**—3 Cr. Hrs. – 3 Contact Hrs. Prerequisites: Assignment by Math Placement Test, or two years of beginning and intermediate algebra, or must have earned a grade of "C" or better in MATH-100A. Probability and statistics for business, social science, mathematics, and biological science majors. Topics include: descriptive statistics, probability, probability distributions, hypothesis testing, analysis of variance, regression, and non-parametric statistics. Graphing calculator required (TI-83 or higher recommended).

**MATH 151 Survey of Calculus**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisite: Assignment by Math Placement Test, or two years of beginning and intermediate algebra, or must have earned a grade of "C" or better in MATH 050. The study of limits, continuous functions, derivatives, integrals, and their applications in business, economics, life sciences and social sciences. This is a terminal, one-semester course and should not be elected by those taking the calculus sequence of MATH-161, -162, -283 and -295. Graphing calculator required (TI-83 or higher recommended.)

To review your Precalculus skills (College Algebra and Trigonometry), go to the **Precalculus Review page**.

**MATH-161 Calculus I**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisite: Assignment by Math Placement Test, or must have earned a grade of "C" or better in MATH-112. The calculus of elementary functions of one variable. Topics include: definition of a derivative, limits, derivative of functions of one variable, related rates, maxima and minima, Fundamental Theorem of calculus, integration and applications to geometry and elementary physics. Graphing calculator required (TI-83 or higher recommended).

To review your Calculus I skills, go to the **Calculus I Review Page**.

**MATH-162 Calculus II**—3 Cr. Hrs. – 3 Contact Hrs. Prerequisites: Must have earned a grade of "C" or better in MATH-161. Recommended corequisite: MATH 274 if required for transfer. A continuation of the calculus of functions of one variable. Topics include: differentiation and integration of the exponential, trigonometric, and hyperbolic functions and their inverses; methods of integration such as parts, trigonometric substitution and partial fractions; improper integrals; infinite series; and the calculus of parametric equations and polar coordinates. Graphing calculator required (TI-83 or higher recommended).

**MATH-215 Probability & Statistics for Engineering**—3 Cr. Hrs. – 3 Contact Hrs. Prerequisite: Must have earned a grade of "C" or better in MATH-161. The successful student will have knowledge of the need for rigorous data collection techniques, of several ways in which the collected data can be analyzed and of several subsequent processes such as predicting and testing hypotheses. Additionally, that same student will have knowledge of some statistical quality control concepts and, necessarily, several of the more common probability distribution models. Graphing calculator required (TI-83 or higher recommended).

**MATH-276 Linear Algebra & Matrices**—2 Cr. Hrs. – 2 Contact Hrs. Prerequisite: Must have earned a grade of "C" or better in MATH-161. Corequisite: MATH-162 if required for transfer. A study of matrices, matrix operations, systems of linear equations, determinants, vectors, vector operations, vector spaces, eigenvalues and linear transformations. Graphing calculator required (TI-83 or higher recommended).

**MATH-283 Calculus III**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisites: Must have earned a grade of "C" or better in MATH-162. The calculus of functions of more than one variable. Topics include: vectors, vector functions, surfaces, limits and continuity in 3 dimensions, partial derivatives, chain rule for partial derivatives, multiple integrals, line integrals, surface integrals, and vector calculus. Graphing calculator required (TI-83 or higher recommended).

**MATH-295 Differential Equations with Linear Algebra**—4 Cr. Hrs. – 4 Contact Hrs. Prerequisite: Must have earned a grade of "C" or better in MATH-162 and MATH-276. An introduction to the theory and solution of ordinary differential equations. Topics included are: first order techniques with applications, second and higher methods including linear equations, power series, Laplace transforms and numerical methods. Application of techniques of linear algebra to systems of differential equations. Introduction to Fourier series and phase plane analysis. Introduction to C.A.S. Graphing calculator required (TI-83 or higher recommended).