## Math Course Descriptions

**MAT 080 MATHEMATICS FUNDAMENTALS **3 CREDITS (Formerly known as MAT 090.)

The student reviews basic math principles, including fundamental operations of fractions, decimals, percents, measurement and geometric concepts. Lecture three hours per week. This course does not apply toward the graduation requirement for the degree and certificate curricula in the career or university transfer program.

**MAT 093 INTENSIVE ELEMENTARY ALGEBRA** 4 CREDITS

This course is for students who have not completed high school algebra, students who need a review of elementary algebra or students who have had previous difficulty with the subject. Topics include operations with real numbers, solving linear equations and inequalities, elementary set operations, graphing linear equations, and related applications. Competence in arithmetic skills is required. Lecture four hours per week. This course does not apply toward the graduation requirement for the degree and certificate curricula in the career or university transfer program.

**Prerequisite:** MAT 080 or qualifying score on Math Placement Test**. **

**MAT 096 GENERAL ED MATH SUPPORT **2 CREDITS

This course is designed for students who have a background in elementary algebra and should be taken along with MAT 102 as supplemental instruction, instead of taking MAT 083/084/085 as a prerequisite to MAT 102. Topics include fractions, decimals, solving linear equations, properties of exponents, scientific notation, and radicals.

**Prerequisite:** MAT 080 or Mandatory Testing: Qualifying score on the math placement test.

**MAT 097 INTERMEDIATE ALGEBRA SUPPORT **3 CREDITS

This course is designed for students who have a background in elementary algebra and should be taken along with MAT 105 or MAT 120 as supplemental instruction. Topics include solving systems of linear equations, properties of exponents, scientific notation, polynomials, factoring polynomials, rational expressions, and rational exponents and radicals.

**Prerequisite:** MAT 084 or Mandatory Testing: Qualifying score on the math placement test.

**MAT 098 STATISTICS SUPPORT **3 CREDITS

This course is designed for students who have a background in basic math and should be taken along with MAT 141 as supplemental instruction. Topics include modeling, operations and expressions, graphing linear equations, simplifying expressions and solving equations, and linear functions and inequalities.

**Prerequisite: **MAT 080 or adequate score on the math placement test.

**MAT 100 OCCUPATIONAL MATHEMATICS **3 CREDITS

Students review the four fundamental operations on whole numbers, fractions, and decimals, and work to develop problem-solving skills. Students also study issues related to measurement, converting between units of measurement, estimation, proportional reasoning, applied algebra, constructive geometry, and right triangle trigonometry. The mathematical topics will be covered through application to the content in the HVAC and other career programs.

**Prerequisite:** MAT 080 (formerly known as MAT 090) or qualifying score on Math Placement Test)

**MAT 102 GENERAL EDUCATION MATHEMATICS **4 CREDITS (IAI: M1 904)

This course is designed primarily for students who are not pursuing careers in mathematics, science and business. Students planning to study mathematics, science or business should take MAT 105 followed by general education course(s) at the upper level. Students develop essential mathematical competencies needed for participation in our modern world by studying topics such as critical thinking skills, sets, probability, statistics, and the mathematics of finance. This course applies to the IAI General Education Core Curriculum Mathematics package.

**Prerequisite:** Successful completion of MAT 085 or MAT 095 or Math Placement Test.

**Corequisite:** MAT 096

**MAT 105 COLLEGE ALGEBRA **4 CREDITS

This course prepares students to study more advanced mathematics. Topics include the real number system, polynomials, inequalities, and exponential, logarithmic and rational functions. It also covers conic sections, determinants, sequences and series and the binomial theorem. To qualify for this course, students must demonstrate competence in both algebra and geometry. Lecture four hours per week.

**Prerequisite:** Satisfactory completion of MAT 086 or MAT 095 or qualifying score on Mathematics Test; AND satisfactory completion of MAT 092 or Geometry Proficiency Test or two semesters of high school geometry or equivalent with a grade of “C” or better.

**Corequisite: **MAT 097

**MAT 110 COLLEGE TRIGONOMETRY **3 CREDITS

The trigonometric functions of real numbers are studied with emphasis on the use of the rectangular coordinate system to define functions and to establish their properties. The graphs of the functions are studied to illustrate inverse relationships, periodicity, domain and range. Other topics include solution of triangles, proof of identities, trigonometric equations, polar coordinates and trigonometric form of complex numbers. Lecture three hours per week.

**Prerequisite: **Completion or concurrent registration in MAT 105 or qualifying score on Math Placement Test.

**MAT 120 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I** 4 CREDITS

Students develop the mathematical background they will need as elementary school teachers. Topics include: sets, number systems, operations with integers and rational numbers, elementary number theory, and problem solving. The focus is on explaining how to solve problems rather than just providing an answer.

**Prerequisite:** Successful completion of MAT 085 or MAT 095 or qualifying score on Mathematics Placement Test; and successful completion of MAT 092 or qualifying score on Geometry Proficiency Test or two semesters of high school geometry or equivalent with a grade of “C” or better. Successful completion of ENG 084 or qualifying score on the English Placement Test.

**Corequisite:** MAT 097

**MAT 121 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II **4 CREDITS (IAI: M1 903)

Students will continue to develop the theoretical understanding of elementary school mathematics they will need as teachers. Students will explore ratios, topics in data analysis and statistics, uncertainty and probability, geometry (including transformations), and develop proportional reasoning skills. In the spirit of MAT 120, the focus continues to be on making sense of the concepts, student explanations utilizing multiple representations, careful reasoning, justification for all answers, and developing the habits of mind to support a lifelong learning of mathematics. This course applies to the IAI General Education Core Curriculum Mathematics package.

**Prerequisite:** Grade “C” or better in MAT 120.

**MAT 141 STATISTICS **4 CREDITS (IAI: M1 902)

Students investigate elementary descriptive and inferential statistical methods: graphs, averages, measures of dispersion, probability, tables, probability and sampling distributions, confidence intervals, hypothesis testing, analysis of variance and simple linear correlation. The course also provides the students opportunities to use computers to solve problems. Lecture four hours per week. (1) This course applies to the IAI General Education Core Curriculum Mathematics Package. (2) This course applies to one or more IAI majors. See an Academic Advisor for details.

**Prerequisite: **MAT 095 or MAT 086 or MAT 102 or MAT 105 or qualifying placement.

**Corequisite:** MAT 098

**MAT 181 DISCRETE MATHEMATICS **3 CREDITS (IAI: MI 905)

This course introduces students to topics that develop reasoning skills and provide a foundation for further study in computer technology or mathematics. These topics include: Boolean logic, elementary number theory, methods of proof, induction, recursion, sets, combinatorial techniques, functions, graphs and trees. Applications to digital circuits and computer algorithms will be discussed. Lecture three hours per week. This course applies to the IAI General Education Core Curriculum Mathematics package.

**Prerequisite:** MAT 105 with a minimum grade of “C” or Math Placement Test**. **

**MAT 201 CALCULUS I **5 CREDITS (IAI: M1 900-1)

This course is a complete presentation of calculus with some applications, designed primarily for students preparing to study mathematics, computer science, engineering or physical sciences. Topics include theory and computation of limits, differentiation and an introduction to integration. Students will need to be familiar with many families of functions, including trigonometric, exponential and logarithmic functions. A prior course in trigonometry is required. This course applies to the IAI General Education Core Curriculum Mathematics package.

**Prerequisite:** Grade of “C” or better in both MAT 105 and MAT 110 or qualifying score on Mathematics Placement Test.

**MAT 202 CALCULUS II **5 CREDITS (IAI: M1 900-2)

This course, which continues from MAT 201, is a complete presentation of calculus with some applications, designed primarily for students preparing to study mathematics, computer science, engineering or physical sciences. Students focus on applications of the definite integral, methods of integration, plane analytic geometry, hyperbolic functions and infinite series. Study also includes an introduction to polar coordinates and parametric equations. This course applies to the IAI General Education Core Curriculum Mathematics package.

**Prerequisite:** Grade of “C” or better in MAT 201.

**MAT 203 CALCULUS III **4 CREDITS (IAI: M1 900-3)

This course extends to three dimensions the concepts learned in earlier math courses. Students will learn to work with algebraic and geometric descriptions of lines, planes and surfaces along with vectors and curvature. Partial differentiation and its applications and integrals involving two or more variables and their applications are examined. Selected topics from vector calculus may be included.This course applies to the IAI General Education Core Curriculum Mathematics package.

**Prerequisite:** Grade of “C” or better in MAT 202.

**MAT 215 DIFFERENTIAL EQUATIONS **3 CREDITS

Students explore the methods of solving ordinary differential equations and related applications. Topics include various methods of solving first order differential equations, linear equations of higher order, systems of differential equations, elementary numerical methods and Laplace transforms.

**Prerequisite:** Grade of “C” or better in MAT 202 or permission of instructor.

**MAT 224 CALCULUS FOR BUSINESS AND SOCIAL SCIENCE **4 CREDITS (IAI: M1 900-B)

This course, designed for students in business, economics, biological sciences and social sciences, covers the concepts of function, limit, differentiation and integration. The main focus of the course is on applications of these concepts, rather than on the comprehensive treatment of the mathematics provided by MAT 201. Knowledge of trigonometry is not required. Students develop problem solving skills and use technology, where appropriate, to make sense of situations using calculus concepts. This course applies to the IAI General Education Core Curriculum Mathematics package.

**Prerequisite:** Grade of “C” or better in MAT 105 or qualifying score on Math Placement Test.