# Mathematics

## Course Descriptions Core 42 approved

MTH010 Fundamentals of Mathematics 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, geometry formulas, slope and slope-intercept form.

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.

MTH030 Technical Mathematics Corequisite 1-0-1
This course provides corequisite 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: Eligible placement score. Corequisite: The accompanying section of MTH130.

MTH042 Quantitative Reasoning Corequisite 2-0-2
This course provides corequisite support and supplemental instruction for students. Emphasis is placed on experiences that assist students in the acquisition of prerequisite knowledge and enhance the content presented in the accompanying Quantitative Reasoning class. Upon completion, students should be able to solve problems, apply critical thinking, collaborate with peers, and communicate effectively. Prerequisite: Eligible placement score, grade of “C” or higher in MTH010. Corequisite: MTH142.

MTH060 Elementary Statistics Corequisite 2-0-2
This course provides corequisite support and supplemental instruction for students. Emphasis is placed on experiences that assist students in the acquisition of prerequisite knowledge and enhance the content presented in the accompanying Elementary Statistics class. Upon completion, students should be able to solve problems, apply critical thinking, collaborate with peers, and communicate effectively. Prerequisite: Eligible placement score, grade of “C” or higher in MTH010. Corequisite: MTH160.

MTH095: Transitional Algebra 3-0-3
Transitional Algebra course material includes linear equations and inequalities, linear systems, exponents, operations with polynomials, factoring, solving quadratic equations by factoring, radical expressions, operations with radicals, rational and radical equations, and an introduction to relations and functions.
Prerequisite: Eligible placement score, OR a grade of C or better in MTH010

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.

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.

MTH140 Precalculus Algebra 3-0-3 (MOTR MATH130)
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: Eligible placement score or grade of “C” or higher in MTH095. (FA, SP, SU)

MTH 142 Quantitative Reasoning 3-0-3 (MOTR MATH120)
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. Pre-requisite: Eligible placement score, grade of “C” or higher in MTH095, or successful completion of the appropriate module in the Computer Assisted Pre-Algebra sequence, or grade “C” or higher in MTH160.

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 (MOTR MATH150)
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 MTH095. (FA, SP, SU)

MTH160 Elementary Statistics 3-0-3 (MOTR MATH110)
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, grade of “C” or higher in MTH095, or grade “C” or higher in MTH142.

MTH 165: Finite Mathematics 3-0-3
Topics include matrices, solving systems of linear equations, linear programming, mathematics of finance, set theory, combinatorics, probability, and statistics. Prerequisite: Eligible placement score, or grade of “C” or higher in MTH140, or grade of “C” or higher in MTH150.

MTH190 Calculus for Business and Life Sciences 3-0-3
Topics from calculus including limits, derivatives, integrals, and maximum-minimum problems. Eligible placement score, OR grade “C” or higher in MTH140 Precalculus Algebra, or MTH150 Precalculus.

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. Prerequisite: Eligible placement score or, grade of “C” or higher in MTH145, or grade of “C” or higher in MTH150. (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)

MTH230: Discrete Mathematics 3-0-3
This course emphasizes fundamental principles of discrete mathematics that are particularly relevant to computer science.  Topics include logic, sets, functions, relations, methods of mathematical proof, induction, recursion, algorithmic efficiency, elementary number theory, combinatorics, and graph theory.

MTH 250: Differential Equations 3-0-3
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. Prerequisite: MTH203 Calculus III (SP)