## Mathematics

#### Course Descriptions

**MTH010 Fundamentals of Math 3-0-3**

Fundamentals of Math is designed to review and/or establish basic arithmetic skills with integers, fractions, decimals, ratios, and percents. Students are introduced to variables, basic linear equations, proportions, and geometry formulas. Degree- and certificate-seeking students required to complete developmental coursework must enroll in the required developmental course(s) prior to or immediately following their first six credit hours of enrollment at MACC. (FA, SP, SU)

**MTH011 Fundamentals of Algebra 3-0-3**

Fundamentals of Algebra is designed for the student who lacks the necessary algebraic skills to undertake collegelevel courses. It includes the study of the real number system, basic linear equations and inequalities, as well as their applications. Linear equations in two variables are covered with graphing, writing equations of lines, and solving systems of linear equations. Exponents are studied along with the operations of addition, subtraction, multiplication, and division of polynomials. Degree- and certificate-seeking students required to complete developmental coursework must enroll in the required developmental course(s) prior to or immediately following their first six credit hours of enrollment at MACC. Prerequisite: Eligible placement score, grade of “C” or higher in MTH010 or successful completion of appropriate module in the Computer Assisted Pre-Algebra sequence.

**MTH015 Fundamentals of Technical Mathematics 3-0-3**

This course is designed to provide an introduction and/or review of mathematics concepts and skills for students entering technical programs. The emphasis will be on direct technical applications rather than theoretical mathematics. Topics include integers, decimals, fractions, measurement (U.S. and metric), angles area, perimeter, volume, linear equations, polynomials, and graphs. Degree- and certificate-seeking students required to complete developmental coursework must enroll in the required developmental course(s) prior to or immediately following their first six credit hours of enrollment at MACC. (FA)

**MTH016 Computer Assisted Pre-Algebra I 3-0-3**

This course is designed for students who lack the necessary arithmetic and/or algebraic skills to undertake courses in mathematics and science. This course emphasizes individualized instruction and computer-assisted learning. Concepts are divided into modules which students must master to progress in the course. Students who pass module 12 have met the prerequisite for MTH100. Students who pass module 6 have met the prerequisites for any class for which MTH010 is a prerequisite. Degree- and certificate seeking students required to complete developmental coursework must enroll in the required developmental course(s) prior to or immediately following their first six credit hours of enrollment at MACC.

**MTH017 Computer Assisted Pre-Algebra II 3-0-3**

A continuation of MTH016. Students who pass module 12 have met the prerequisite for MTH100. Students who pass module 6 have met the prerequisites for any class for which MTH010 is a prerequisite. Prerequisite: A grade of "C" or higher in MTH016. Degree- and certificate-seeking students required to complete developmental coursework must enroll in the required developmental course(s) prior to or immediately following their first six credit hours of enrollment at MACC.

**MTH018 Computer Assisted Pre-Algebra III 3-0-3**

This course is a continuation of MTH017. Students who pass module 12 have met the prerequisite for MTH100. Students who pass module 6 have met the prerequisite for any class for which MTH010 is a prerequisite. Prerequisite: A grade of “C” or higher in MTH017. Degree- and certificate seeking students required to complete developmental coursework must enroll in the required developmental course(s) prior to or immediately following their first six credit hours of enrollment at MACC.

**MTH019 Computer Assisted Pre-Algebra Supplement 3-0-3**

Students who need two or fewer modules to satisfy the prerequisite for a subsequent math class may enroll in this class to complete those modules. Instructor approval is required. Students who pass module 12 have met the prerequisite for MTH100. Students who pass module 8 have met the prerequisites for any class for which MTH010 is a prerequisite. Degree- and certificate-seeking students required to complete developmental coursework must enroll in the required developmental course(s) prior to or immediately following their first six credit hours of enrollment at MACC.

**MTH 020 Transition to College Algebra 1-0-1**

This course is intended as an alternative for students who can demonstrate skills they already possess and, therefore, accelerate the math sequence path into MTH140 College Algebra. The course is only a quick review of topics usually covered in MTH100 Intermediate Algebra, with special attention to rational expressions, radicals, and factoring. Degree- and certificate-seeking students required to complete developmental coursework must enroll in the required developmental course(s) prior to or immediately following their first six credit hours of enrollment at MACC. Prerequisite: Successful completion of MTH011 with a “B” or higher, successful completion of module 12 the first time enrolled in MTH016, instructor recommendation, or placement scores for MTH100. (SU)

**MTH080: Support for Technical Mathematics (1-0-1)**

This course provides co-requisite support and supplemental instruction for students who are co-enrolled in the appropriate section of MTH130 Technical Mathematics, with emphasis placed on experiences that enhance the materials presented in the accompanying class. Topics include integers, decimals, fractions, measurement (US and metric), angles area, perimeter, volume, linear equations, polynomials, and graphs. Prerequisite: Placement will be determined by Compass/ACT Scores. Eligible placement score: ACT: 18 or higher; Compass (pre-Algebra): 60 or higher; Compass (Algebra): 26 or higher. Corequisite: The accompanying section of MTH130 Technical Mathematics. (FA, SP)

**MTH 090: Support for College Algebra 3-0-3**

This course provides co-requisite support and supplemental instruction for students who have met the prerequisites to enroll in MTH100 Intermediate Algebra. Emphasis is placed on experiences that enhance the materials presented in the accompanying MTH140 College Algebra class. Upon completion, students should be able to solve problems, apply critical thinking, work in teams, and communicate effectively. Degree- and certificate-seeking students required to complete developmental coursework must enroll in the required developmental course(es) within their first six credit hours at MACC. Prerequisite: Eligible placement score for MTH100, grade of “C” or higher in MTH011, or successful completion of the appropriate module in the Computer Assisted Pre- Algebra sequence. Corequisite: The accompanying section of MTH140.

**MTH100: Intermediate Algebra 3-0-3**

This course is a continuation of Fundamentals of Algebra. Focus is on inequalities, linear equations, quadratic equations, functions and graphs, polynomials, rational expressions, exponents, radicals (including rational and negative powers), factoring (not including trinomial factoring), and systems of linear equations. Prerequisite: Eligible placement score, grade of “C” or higher in MTHO11, or successful completion of the appropriate module in the Computer Assisted Pre-Algebra sequence.

**MTH130: Technical Math 3-0-3**Technical Mathematics includes topics in right triangle trigonometry; quadratic equations; trig. identities, functions and graphing; vectors; and analytic geometry necessary for students in technical programs. Prerequisite: Eligible placement score or grade of “C” or higher in MTH010 or MTH015 or successful completion of the appropriate module in the Computer Assisted Pre-Alegra sequence.

**MTH135: Advanced Technical Math 2-0-2**Advanced Technical Mathematics is designed for students in technical programs needing additional mathematics topics including exponents and logarithms, matrices, progressions and the binomial theorem, and statistics for process control. The emphasis is on technical applications. Prerequisite: A grade of "C" or higher in MTH 130.

**MTH 138: Finite Mathematics 3-0-3**

Topics include solving systems of linear equations, Leontief models, linear programming, mathematics of finance, set theory, and probability theory. (IN)

**MTH140: Precalculus Algebra 3-0-3**

Precalculus Algebra course material includes linear functions and equations; analysis of graphs and functions, including piecewise; absolute value equations and inequalities; quadratic and polynomial functions; rational, power and root functions; inverse, exponential and logarithmic functions; systems of equations and matrices. Prerequisite: Prerequisite: Eligible placement score or grade of “C” or higher in MTH100. (FA, SP, SU)

**MTH 141: Contemporary College Mathematics 3-0-3**

This course contains selected topics from number theories, algebra, geometry, probability, and statistics with emphasis on applications of mathematics. (IN)

**MTH 142: Quantitative Reasoning 3-0-3**

This course is designed to fulfill general education requirements for students pursuing non-STEM (Science, Technology, Engineering, and Mathematics) degrees and career paths. Topics include: problem solving, units of measure, probability and statistics, linear and exponential models, logic and sets. Emphasis is placed on critical thinking and improving students’ ability to apply mathematics. Prerequisite: Eligible placement score, grade of “C” or higher in MTH100, or successful completion of the appropriate module in the Computer Assisted Pre-Algebra sequence. Pre-requisite: Eligible placement score, grade of “C” or higher in MTH100, or successful completion of the appropriate module in the Computer Assisted Pre-Algebra sequence.

**MTH145: Precalculus Trigonometry 3-0-3**

Precalculus Trigonometry includes angle-based trigonometric functions and their inverses, multiple angle formulas, identities, trigonometric equations, radian measure, arc length, angular velocity, graphs of trigonometric functions, solutions of both right and oblique triangles, vectors and polar coordinates. This course does not meet the math requirement for the AA degree. Prerequisite: Eligible placement score or a grade of “C” or higher in MTH140.

**MTH150: Precalculus 5-0-5**

This course is a unified study of College Algebra and Trigonometry designed to prepare students for Calculus. The course will focus on algebraic, trigonometric, logarithmic and exponential functions. Prerequisite: Eligible placement score, grade of “C” or higher in MTH020 or MTH100. (FA, SP, SU)

***MTH160: Elementary Statistics 3-0-3**

Elementary Statistics includes descriptive statistics, statistical design, correlation and regression, and elementary probability. Statistical inferences will include one- and two-sample confidence intervals and hypotheses tests. Prerequisite: Eligible placement score or MTH100.

**MTH 201: Analytic Geometry and Calculus I 5-0-5**

Students are introduced to plane analytic geometry, including limits, continuity, derivative for functions of a single variable, differentials, indefinite and definite integrals, and applications of the derivative and integral. (FA, SP)

**MTH202: Analytic Geometry and Calculus II 5-0-5**

This course is a continuation of MTH201. Topics include logarithmic and exponential derivatives and integrals, integration techniques, sequences and series, and parametric and polar curves. Prerequisite: MTH201 with a grade of “C” or better.

**MTH203: Analytic Geometry and Calculus III 5-0-5**

This course is a continuation of MTH202. An introduction to multi-variable calculus. Topics include vector-valued functions, partial derivatives, multiple integration, and vector calculus. Prerequisite: MTH202 with a grade of “C” or better.

**MTH215: Introduction to Probability and Statistics 3-0-3**

This course is designed primarily for students seeking a degree in business. Probability theory, random variables, expectations, continuous and discrete probability distributions, descriptive statistics, sampling distributions, estimation, and hypothesis testing are covered. (IN)

**MTH 250: Differential Equations 3-0-3**

This is an advanced course for pre-engineering students. Topics include differential equations of first order and first degree, applications of first order, first degree differential equations, homogeneous linear differential equations with constant coefficients, Laplace transforms, power series, series solutions, and numerical solutions of differential equations.(SP)

*Students planning to transfer to the University of Missouri-Columbia will not be able to use MTH160 – Elementary Statistics as a pathway course. These students will need to take MTH140 – College Algebra for fall 2017. See your advisor for additional information.