Mathematics (MTH)

MTH 1 - Developmental Mathematics

Course Description

Effective: 1992-05-01

Designed to bridge the gap between a weak mathematical foundation and the knowledge necessary for the study of mathematics courses in technical, professional, and transfer program. Topics may include arithmetic, algebra, geometry, and trigonometry. Credits not applicable toward graduation.
Variable hours per week.
1-5 credits

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MTH 111 - Basic Technical Mathematics

Course Description

Effective: 2017-08-01

Provides a foundation in mathematics with emphasis in arithmetic, unit conversion, basic algebra, geometry and trigonometry. This course is intended for CTE programs.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

This course is intended for students who are in career and technical fields/degree programs requiring technical math components including trigonometry.

Course Prerequisites/Corequisites

Prerequisites: MTE 1-3 Prereq OR Corequisite: MCR 1.

Course Objectives

Major Topics to be Included

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MTH 130 - Fundamentals of Reasoning

Course Description

Effective: 2017-08-01

Presents elementary concepts of algebra, linear graphing, financial literacy, descriptive statistics, and measurement & geometry. Based on college programs being supported by this course, colleges may opt to add additional topics such as logic or trigonometry. This course is intended for occupational/technical programs.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The Fundamental of Reasoning course is organized around big mathematical concepts. The course?s nontraditional treatment of content will help students develop conceptual understanding by supporting them in making connections between concepts and applying previously learned material to new contexts. The course will help to prepare students for success in future courses, gain skills for the workplace, and participate as productive citizens in our society. Encourage students to do mathematics with real data. This includes recognizing the real world often has less than perfect data, ambiguities and multiple possible solutions. It also means equipping students to be intelligent consumers of quantitative data and reports. Encourage students to engage in productive struggle to learn mathematics and make connections to the world in which they live.

Course Prerequisites/Corequisites

Prerequisites: Competency in MTE 1-3 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 2

Course Objectives

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MTH 131 - Technical Mathematics

Course Description

Effective: 2017-08-01

Presents algebra through unit conversion, trigonometry, vectors, geometry, and complex numbers. This course is intended for CTE programs.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

This course is intended for students entering degree programs in Engineering Design Technology (CAD), Electrical/Instrumentation/Electronics (EIE), Machine Technology or similar fields.

Course Prerequisites/Corequisites

Prerequisites: Competency in MTE 1-6 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 3

Course Objectives

Major Topics to be Included

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MTH 132 - Business Mathematics

Course Description

Effective: 2017-08-01

Provides instruction, review, and drill in percentage, cash and trade discounts, mark-up, payroll, sales, property and other taxes, simple and compound interest, bank discounts, loans, investments, and annuities. This course is intended for occupational/technical programs.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

This course is intended for students entering degree and certificate programs in accounting, administrative support, business management, marketing or similar fields. It provides instruction of business concepts dependent on mathematical skills for understanding and application.

Course Prerequisites/Corequisites

Prerequisites: Competency in MTE 1-3 or as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 8

Course Objectives

Major Topics to be Included

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MTH 133 - Mathematics for Health Professions

Course Description

Effective: 2017-08-01

Presents in context the arithmetic of fractions and decimals, the metric system and dimensional analysis, percents, ratio and proportion, linear equations, topics in statistics, topics in geometry, logarithms, topics in health professions including dosages, dilutions and IV flow rates. This course is intended for programs in the Health Professions.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

This course is intended for students entering degree and certificate programs in a health professions field such as radiography, diagnostic medical sonography, and nursing.

Course Prerequisites/Corequisites

Prerequisites: Competency in MTE 1-3 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 9

Course Objectives

Major Topics to be Included

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MTH 154 - Quantitative Reasoning

Course Description

Effective: 2019-08-01

Presents topics in proportional reasoning, modeling, financial literacy and validity studies (logic and set theory). Focuses on the process of taking a real-world situation, identifying the mathematical foundation needed to address the problem, solving the problem and applying what is learned to the original situation. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The Quantitative Reasoning course is organized around big mathematical concepts. The course's nontraditional treatment of content will help students develop conceptual understanding by supporting them in making connections between concepts and applying previously learned material to new contexts. The course will help to prepare students for success in future courses, gain skills for the workplace, and participate as productive citizens in our society. * Encourage students to do mathematics with real data. This includes recognizing the real world often has less than perfect data, ambiguities and multiple possible solutions. It also means equipping students to be intelligent consumers of quantitative data and reports. * Encourage students to engage in productive struggle to learn mathematics and make connections to the world in which they live.

Course Prerequisites/Corequisites

Prerequisites: Competency in MTE 1-5 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 4: Learning Support for Quantitative Reasoning

Course Objectives

Major Topics to be Included

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MTH 155 - Statistical Reasoning

Course Description

Effective: 2019-08-01

Presents elementary statistical methods and concepts including visual data presentation, descriptive statistics, probability, estimation, hypothesis testing, correlation and linear regression. Emphasis is placed on the development of statistical thinking, simulation, and the use of statistical software. This is a Passport Transfer course.
Lecture 3 hours, Total 3 hours per week.
3 credits

General Course Purpose

Statistical Reasoning is a first course in statistics for students whose college and career paths require knowledge of the fundamentals of the collection, analysis, and interpretation of data. Emphasis is placed on the development of statistical thinking, simulation, and the use of statistical software. Students should develop an appreciation of the need for data to make good decisions and an understanding of the dangers inherent in basing decisions on anecdotal evidence rather than data. To that end, students will use appropriate data-collection methods and statistical techniques to support reasonable conclusions through the following content learning outcomes: Data Exploration, Statistical Design, Probability and Simulation, and Statistical Inference.

Course Prerequisites/Corequisites

Prerequisite: Competency in MTE 1-5 as demonstrated through placement or unit completion or equivalent or Co-requisite: MCR 5Learning Support for Statistical Reasoning.

Course Objectives

Major Topics to be Included

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MTH 156 - Elementary Geometry

Course Description

Effective: 2018-01-01

Presents the fundamentals of plane and solid geometry and introduces non-Euclidean geometries and current topics.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

To present the fundamentals of plane and solid geometry and introduce non-Euclidean geometries and current topics while modeling sound pedagogy to support students in presenting these concepts to their own students

Course Prerequisites/Corequisites

Prerequisite: MTE 1-9 or placement.

Course Objectives

Major Topics to be Included

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MTH 161 - PreCalculus I

Course Description

Effective: 2019-08-01

Presents topics in power, polynomial, rational, exponential, and logarithmic functions, and systems of equations and inequalities. Credit will not be awarded for both MTH 161: Precalculus I and MTH 167: Precalculus with Trigonometry or equivalent. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The general purpose of this one-semester course is to prepare students for a course in statistics or applied calculus sequence by providing them with the necessary competencies in algebra and functions. Precalculus I can also be applied in conjunction with Precalculus II in preparation for a course in calculus with analytic geometry.

Course Prerequisites/Corequisites

Prerequisites: Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 6: Learning Support for Precalculus I

Course Objectives

Major Topics to be Included

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MTH 162 - PreCalculus II

Course Description

Effective: 2019-08-01

Presents trigonometry, trigonometric applications including Law of Sines and Cosines and an introduction to conics. Credit will not be awarded for both MTH 162: Precalculus II and MTH 167: Precalculus with Trigonometry or equivalent. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The general purpose of this one-semester course, in conjunction with Precalculus I, is to prepare students for the skills and level of rigor needed for successful study in a sequence of courses in calculus with analytic geometry.

Course Prerequisites/Corequisites

Prerequisites: Placement or completion of MTH 161: Precalculus I or equivalent with a grade of C or better

Course Objectives

Major Topics to be Included

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MTH 165 - Finite Math

Course Description

Effective: 2018-01-01

Presents topics in systems of equations, matrices, linear programming, mathematics of finance, counting theory, probability, and Markov Chains. Emphasis is placed on the development of mathematical skills that are then applied to business applications and models.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The general purpose is to expose students to the use of mathematics as a tool (applications and mathematical modeling), as well as developing problem solving and critical thinking abilities.

Course Prerequisites/Corequisites

Prerequisite: MTE 1-9 or placement.

Course Objectives

Major Topics to be Included

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MTH 167 - PreCalculus with Trigonometry

Course Description

Effective: 2019-08-01

Presents topics in power, polynomial, rational, exponential, and logarithmic functions, systems of equations, trigonometry, and trigonometric applications, including Law of Sines and Cosines, and an introduction to conics. Credit will not be awarded for both MTH 167: Precalculus with Trigonometry and MTH 161/MTH 162: Precalculus I and II or equivalent. This is a Passport Transfer course.
Lecture 5 hours. Total 5 hours per week.
5 credits

General Course Purpose

The general purpose of this one-semester course is to prepare students for the skills and level of rigor needed for successful study in a sequence of courses in calculus with analytic geometry.

Course Prerequisites/Corequisites

Prerequisite(s): Competency in MTE 1-9 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 7: Learning Support for Precalculus w/ Trigonometry

Course Objectives

Major Topics to be Included

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MTH 245 - Statistics I

Course Description

Effective: 2019-08-01

Presents an overview of statistics, including descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, correlation, and linear regression. Credit will not be awarded for both MTH 155: Statistical Reasoning and MTH 245: Statistics I or equivalent. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

To serve as a first course in data collection and analysis, applied probability, and statistical inference for students needing greater depth in preparation for application of content to workforce task or further study in statistical research methods.

Course Prerequisites/Corequisites

Prerequisite: Completion of MTH 154 or MTH 161 or equivalent with a grade of C or better.

Course Objectives

Major Topics to be Included

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MTH 246 - Statistics II

Course Description

Effective: 2017-08-01

Completion of MTH 245: Statistics I or equivalent with a grade of C or better
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

To serve as a second course in statistics that focuses on multivariate and nonparametric techniques useful to business, science, and social science majors.

Course Prerequisites/Corequisites

Prerequisite: Completion of MTH 245 or equivalent with a grade of C or better.

Course Objectives

Major Topics to be Included

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MTH 261 - Applied Calculus I

Course Description

Effective: 2019-08-01

Introduces limits, continuity, differentiation and integration of algebraic, exponential and logarithmic functions, and techniques of integration with an emphasis on applications in business, social sciences and life sciences. This is a Passport Transfer course.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The general purpose of this one-semester course is to prepare students in business, social sciences and life sciences to apply concepts of differentiation and integration of algebraic, exponential and logarithmic functions in future mathematics and degree coursework.

Course Prerequisites/Corequisites

Prerequisite: Completion of MTH 161 or equivalent with a grade of C or better.

Course Objectives

Major Topics to be Included

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MTH 262 - Applied Calculus II

Course Description

Effective: 2017-08-01

Covers techniques of integration, an introduction to differential equations and multivariable calculus, with an emphasis throughout on applications in business, social sciences and life sciences.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The general purpose of this second course in Applied Calculus is to extend the study of the techniques and applications of calculus and prepare students in business, social sciences and life sciences to apply these concepts in future mathematics and degree coursework. This course is intended for those who will transfer to an institution requiring two semesters of applied calculus in one of these disciplines.

Course Prerequisites/Corequisites

Prerequisite: Completion of MTH 261 or equivalent with a grade of C or better.

Course Objectives

Major Topics to be Included

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MTH 263 - Calculus I

Course Description

Effective: 2019-08-01

Presents concepts of limits, derivatives, differentiation of various types of functions and use of differentiation rules, application of differentiation, antiderivatives, integrals and applications of integration. This is a Passport Transfer course.
Lecture 4 hours. Total 4 hours per week.
4 credits

General Course Purpose

The general purpose of this first course in a three course sequence is to prepare students for further study in calculus with analytic geometry by providing them with the necessary competencies in finding limits, differentiation and integration.

Course Prerequisites/Corequisites

Prerequisite: Completion of MTH 167 or MTH 161/162 or equivalent with a grade of C or better.

Course Objectives

Major Topics to be Included

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MTH 264 - Calculus II

Course Description

Effective: 2019-08-01

Continues the study of calculus of algebraic and transcendental functions including rectangular, polar, and parametric graphing, indefinite and definite integrals, methods of integration, and power series along with applications. Features instruction for mathematical, physical and engineering science programs. This is a Passport Transfer course.
Lecture 4 hours. Total 4 hours per week.
4 credits

General Course Purpose

The general purpose of this second course in a three course sequence is to prepare students for further study in calculus with analytic geometry as well as topics such as linear algebra and differential equations so that they meet the necessary competencies in integration, algebraic and transcendental functions, graphing, power series and their applications.

Course Prerequisites/Corequisites

Prerequisite: Completion of MTH 263 or equivalent with a grade of C or better.

Course Objectives

Major Topics to be Included

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MTH 265 - Calculus III

Course Description

Effective: 2017-08-01

Focuses on extending the concepts of function, limit, continuity, derivative, integral and vector from the plane to the three dimensional space. Covers topics including vector functions, multivariate functions, partial derivatives, multiple integrals and an introduction to vector calculus. Features instruction for mathematical, physical and engineering science programs.
Lecture 4 hours. Total 4 hours per week.
4 credits

General Course Purpose

The general purpose of this third course in a three course sequence is to prepare students for further study in mathematics, engineering and science programs by providing the necessary competencies in calculus concepts in the three dimensional space.

Course Prerequisites/Corequisites

Completion of MTH 264: Calculus II or equivalent with a grade of C or better

Course Objectives

Major Topics to be Included

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MTH 266 - Linear Algebra

Course Description

Effective: 2017-08-01

Covers matrices, vector spaces, determinants, solutions of systems of linear equations, basis and dimension, eigenvalues, and eigenvectors. Features instruction for mathematical, physical and engineering science programs.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The general purpose is to give the student a solid grasp of the methods and applications of linear algebra, and to prepare the student for further coursework in mathematics, engineering, computer science and the sciences.

Course Prerequisites/Corequisites

Prerequisite: Completion of MTH 263 or equivalent with a grade of B or better or MTH 264 or equivalent with a grade of C or better.

Course Objectives

Major Topics to be Included

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MTH 267 - Differential Equations

Course Description

Effective: 2017-08-01

Introduces ordinary differential equations. Includes first order differential equations, second and higher order ordinary differential equations with applications and numerical methods.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The general purpose is to give the student a solid grasp of the methods solving and applying differential equations and to prepare the student for further coursework in mathematics, engineering, computer science and the sciences.

Course Prerequisites/Corequisites

Prerequisite: Completion of MTH 264 or equivalent with a grade of C or better.

Course Objectives

Major Topics to be Included

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MTH 280 - College Geometry

Course Description

Effective: 2018-01-01

Presents topics in Euclidean and non-Euclidean geometries chosen to prepare individuals for teaching geometry at the high school level or for other areas of study applying geometric principles. Studies Euclid's geometry and its limitations, axiomatic systems, techniques of proof, and Hilbert's geometry, including the parallel postulates for Euclidean, hyperbolic, and elliptic geometries.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

Presents topics in Euclidean and non-Euclidean geometries chosen to prepare individuals for teaching geometry at the high school level or to other areas of study applying geometric principles.

Course Prerequisites/Corequisites

Completion of MTH 263, Calculus I with a grade of C or better or equivalent.

Course Objectives

Major Topics to be Included

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MTH 281 - Introductory Abstract Algebra

Course Description

Effective: 2018-01-01

Introduces groups, isomorphisms, fields, homomorphisms, rings, and integral domains. Applicable to some education licensure programs; not intended for STEM majors.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

To provide an introduction to abstract mathematics and rigorous proof in the context of algebraic structures to students seeking endorsement to teach mathematics at the secondary level.

Course Prerequisites/Corequisites

Completion of MTH 263, Calculus I with a grade of C or better or equivalent.

Course Objectives

Major Topics to be Included

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MTH 283 - Probability and Statistics

Course Description

Effective: 2018-01-01

Presents basic concepts of probability, discrete and continuous random variables, and probability distributions. Presents sampling distributions and the Central Limit Theorem, properties of point estimates and methods of estimation, confidence intervals, hypothesis testing, linear models and estimation by least squares, and analysis of variance.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The first part of the content provides understanding of the basic concepts of probability required for further study in statistics. The statistics content provides a solid foundation and training in some of the fundamental tools used by statistical practitioners.

Course Prerequisites/Corequisites

Completion of MTH 264, Calculus II with a grade of C or better or equivalent.

Course Objectives

Major Topics to be Included

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MTH 288 - Discrete Mathematics

Course Description

Effective: 2018-01-01

Presents topics in sets, counting, graphs, logic, proofs, functions, relations, mathematical induction, Boolean Algebra, and recurrence relations.
Lecture 3 credits. Total 3 credits per week.
3 credits

General Course Purpose

The goal is to give the student a solid grasp of the methods and applications of discrete mathematics to prepare the student for higher level study in mathematics, engineering, computer science, and the sciences.

Course Prerequisites/Corequisites

Completion of MTH 263, Calculus I with a grade of C or better or equivalent.

Course Objectives

Major Topics to be Included

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MTH 289 - Differential Equations Extended

Course Description

Effective: 2018-01-01

Presents systems of differential equations, power series solutions, Fourier series, Laplace transform and Fourier transform, partial differential equations, and boundary value problems. Designed as math elective course for mathematical, physical, and engineering science programs.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

The purpose of the course is to provide for a smooth transition of STEM students to 4-year colleges and introduce them to advanced topics of mathematics, physics and engineering: numerical methods for solving differential equations, classical partial differential equations, methods for solving PDEs and boundary-value problems (BVPs).

Course Prerequisites/Corequisites

Completion of MTH 267, Differential Equations with a grade of C or better or equivalent.

Course Objectives

Major Topics to be Included

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MTH 3 - Bundle 1-3 - Operations with Fractions, Decimals, and Percents and Algebra Basics

Course Description

Effective: 2017-08-01

Includes operations and problem solving with proper fractions, improper fractions, and mixed numbers without the use of a calculator; operations and problem solving with positive decimals and percents; basic operations with algebraic expressions and solving simple algebraic equations using signed numbers. Emphasizes applications and includes U. S. customary and metric units of measure. Credit is not applicable toward graduation.
Lecture 3 hours. Total 3 hours per week.
3 credits

General Course Purpose

To prepare students for successful entry into credit mathematics courses as well as other credit courses requiring basic math competencies as prerequisites.

Course Prerequisites/Corequisites

Prerequisites: Qualifying placement score

Course Objectives

Major Topics to be Included

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MTH 5 - Bundle 4-5 - First Degree Equations and Inequalities and Systems of Linear Equations

Course Description

Effective: 2017-08-01

Includes solving first degree equations and inequalities containing one variable, and using them to solve application problems. Emphasizes applications and problem solving. Includes finding the equation of a line, graphing linear equations and inequalities in two variables and solving systems of two linear equations. Emphasizes writing and graphing equations using the slope of the line and points on the line, and applications. Credit is not applicable toward graduation.
Lecture 2 hours. Total 2 hours per week.
2 credits

General Course Purpose

To prepare students for successful entry into credit mathematics courses as well as other credit courses requiring basic math competencies as prerequisites.

Course Prerequisites/Corequisites

Prerequisites: MTE 1-3 or qualifying placement score

Course Objectives

Major Topics to be Included

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MTH 9 - Bundle 6-9 - Exponents, Factoring, Poly Equations, Rational Expressions and ...

Course Description

Effective: 2017-08-01

Includes performing operations on exponential expressions and polynomials, factoring polynomials, solving polynomial equations, simplifying rational algebraic expressions, solving rational algebraic equations, simplifying radical expressions, using rational exponents, solving radical equations, working with functions in different forms: ordered pair, graph, and equation form. Also introduces quadratic functions, their properties and their graphs. Emphasis should be on learning all the different factoring methods, and solving application problems using polynomial, rational and radical equations. Credit is not applicable toward graduation.
Lecture 4 hours. Total 4 hours per week.
4 credits

General Course Purpose

To prepare students for successful entry into credit mathematics courses as well as other credit courses requiring basic math competencies as prerequisites.

Course Prerequisites/Corequisites

Prerequisites: MTE 1-5 or qualifying placement score.

Course Objectives

Major Topics to be Included

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