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# Mathematics Resources

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# MATH Courses

## Changing the Equation

## Course Descriptions

Changing the Equation is a personalized program for building math success which blends:

- Self-paced computer-based lessons,
- Real-time faculty coaching.

Math 91 - 94 correspond to the four Changing the Equation milestones:

- Pre-algebra, modules 1-6
- Beginning Algebra, modules 7-12
- Intermediate Algebra, modules 13-16
- Intermediate Algebra 2, modules 17-20

**MATH 91: Prealgebra**

Prerequisite:
- Placement by assessment
This course is designed for students who need to develop their math skills prior to taking transfer level mathematics. Topics include: whole numbers, integers, solving equations with integers, solving advanced linear equations, fractions, mixed numbers, decimals, ratios, and proportions. *4 HRS*

**MATH 92: Elementary Algebra**

Prerequisite:
- Successful completion of Math 091 or placement.
This course is designed for students who need to develop their math skills prior to taking transfer level mathematics. Topics include: percent, order of operations, solving linear equations, lines, graphing, exponents, polynomials, factoring. *4 HRS*

**MATH 93: Intermediate Algebra (Level 1)**

Prerequisite:
- Successful completion of Math 092 or placement
This course is designed for students who need to develop their math skills prior to taking college level mathematics. Topics include: rational expressions, functions, radical expressions, and linear systems. *4 HRS*

**MATH 94: Intermediate Algebra (level 2)**

Prerequisite:
- Successful completion of Math 093 or placement
This course is designed for students who need to develop their math skills prior to taking college level mathematics. Topics include: compound inequalities, systems of equations, complex numbers, and quadratic equations. *4 HRS*

**MATH 98: Geometry**

Prerequisite:
- Completion of MATH 092 Beginning Algebra, or placement
This course fulfills a geometry requirement for students who have not completed high school geometry. The course includes geometric constructions using a straight-edge, protractor, and compass. In addition, it introduces traditional “two-column” proofs; such proofs reinforce higher-order logical skills that are important in many professions. Topics include triangles, polygons, similarity, Pythagoras’ Theorem, and circles. *3 HRS*

**MATH 106: College Algebra for Bus & Soc Sci**

Prerequisite:
- Completion of MATH 093 and MATH 098 with a grade of C or better, or assessment.
Note, a graphing calculator is required for this course (instruction will be based on a TI 83+).
A brief review of basic algebraic concepts and introduction to more advanced concepts. Topics are viewed graphically, as well as algebraically. Topics include graphing and solving linear, logarithmic, exponential, polynomial, power, radical, and rational functions, systems of linear equations, and application problems. *4 HRS*

**MATH 109: College Algebra for Math & Science**

Prerequisite:
- Completion of MATH 094 and MATH 098 with a grade of C or better, or assessment.
The main concept of this course is the notion of a function. Polynomial, radical, rational, exponential, and logarithmic functions are studied from a symbolic, as well as graphical perspective. The course is intended to prepare college students for studying Calculus. Graphing utilities are used extensively as learning tools. A graphing calculator is required for this course (instruction will be based on a TI 89). *4 HRS*

**MATH 111: Finite Math for Business and Social Science**

Prerequisite: MATH 106 or MATH 109 with grade of C or better, or equivalent, or assessment. This class focuses on applications of the following topics: matrices, matrix algebra, linear programming, sets and counting techniques, probability, and the mathematics of finance. Note, a graphing calculator is required for this course (instruction will be based on a TI 83+). *4 HRS*

IAI GEC Code - M1 906

**MATH 128: Trigonometry**

Prerequisite:
- Completion of MATH 094 and MATH 098 at a C or better, or assessment.
This course begins with a definition of the six trigonometric functions. The course work follows an investigation of these functions, their graphs, their relationships to one another, and ways in which they can be used in a variety of applications. Specific applications include triangles, vectors, polar coordinates and equations. The course is designed to equip students with an understanding of trigonometry necessary for the study of calculus. A graphing calculator is required for this course (instruction will be based on a TI 89). *3 HRS*

**MATH 131: Explorations in Mathematics**

Prerequisite:
- Completion of MATH 093 and MATH 098 with a grade of C or better, or assessment.
This course focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. Three or four topics are studied in depth, with at least three chosen from the following list: counting techniques and probability, graph theory, logic/set theory, mathematical modeling, mathematics of finance, game theory, linear programming, and statistics. A scientific calculator is required for this course (a graphing calculator is also acceptable). *3 HRS*

IAI GEC Code - M1 904

**MATH 135: Mathematics for Elementary Teachers I**

Prerequisite: Completion of MATH 093 and MATH 098 with a grade of C or better, or assessment.
This course focuses on mathematical reasoning and problem solving; and provides instruction in the teaching of mathematics at the elementary grade level. Topics include properties of whole numbers and rational numbers, the four basic arithmetic operations, and problem solving through various representations including algebraic. *3 HRS*

**MATH 136: Mathematics for Elementary Teachers II**

Prerequisite: Math 135 (with a grade C or better), or equivalent, or permission of the instructor. This course focuses on mathematical reasoning and problem solving; and provides instruction in teaching mathematics at the elementary grade level. Topics include algebra, probability, statistics, geometry, measurement, and the use of technology in the elementary school classroom. Note, a scientific calculator is required for this course (a graphing calculator is also acceptable). *3 HRS*

IAI GEC Code - M1 903

**MATH 141: Introduction to Statistics**

Prerequisite:
- Completion of MATH 093 and Math 098 with grade of C or better, or assessment.
This course focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. Descriptive methods (frequency distributions, graphing and measures of location and variation), basic probability theory (sample spaces, counting, factorials, combinations, permutations, and probability laws), probability distributions (normal distributions and normal curve, binomial distribution, and random samples and sampling techniques), statistical inference (estimation, hypothesis testing, t-test, and chi-square test, and errors), correlation and regression, and f-test and analysis of variance. An emphasis is placed on calculating statistical results using appropriate technology, and interpreting those results in context, rather than using formulas and tables. *4 HRS*

IAI GEC Code - M1 902

**MATH 142: Business Statistics**

Prerequisite: MATH 106 or MATH 109, with grade of C or higher, or equivalent, or assessment. Math 142 emphasizes problem solving of statistics applications to business. Topics include descriptive statistics (sampling techniques, organizing and presenting data as frequency distributions, measures of central tendency and variability), probability theory (sample spaces, counting techniques, and probability laws), probability distributions (e.g., Normal, Binomial, F, and Chi-Square distributions), and inferential statistics (estimation, hypothesis testing, and regression analysis). Note, a graphing calculator is required for this course (instruction will be based on a TI 83+). This course is not intended for a Mathematics major or minor. *4 HRS*

IAI GEC Code - M1 902

**MATH 151: Calculus for Business & Social Science**

Prerequisite:
- Completion of MATH 106 with a grade of C or better [OR]
- Completion of MATH 109 with a grade of C or better [OR]
- Assessment
Note, a graphing calculator is required for this course (instruction will be based on a TI-83+).
This calculus course is designed specifically for students in business and the social sciences and does not count toward a major or minor in mathematics. It emphasizes applications of the basic concepts of calculus rather than proofs. Topics include limits; techniques of differentiation applied to polynomial, rational, exponential, and logarithmic functions (this includes partial derivatives and derivatives of higher order); maxima and minima of functions; elementary techniques of integration including substitution and integration by parts; and applications (business and social science applications are stressed throughout the course). *4 HRS*

IAI GEC Code - M1 900-B

**MATH 161: Calculus I**

Prerequisite: MATH 109 and MATH 128 with grade of C or higher, or equivalent, or assessment. Topics include (but are not limited to) the following: limits and continuity; definition of derivative; rate of change, slope; derivatives of polynomial, rational, trigonometric, logarithmic and exponential functions; the chain rule; implicit differentials; approximation by differentials; higher order derivatives; Rolle’s Theorem; Mean Value Theorem; applications of the derivative; anti-derivative; L’Hopital’s Rule (0/0 and 8/8); the definite integral; the fundamental theorem of calculus; and area under the curve and Riemann Sums. Note, a graphing calculate is required for this course (instruction will be based on a TI-89). *4 HRS*

IAI GEC CODE - M1 900-1

**MATH 162: Calculus II**

Prerequisite: MATH 161 with a grade of C or higher, or equivalent. A second course in Calculus. Topics include (but are not limited to) the following: area between two curves, volume, other applications of the integral; techniques of integration, including numerical methods; L’Hopital’s rule (indeterminate forms ); improper integrals; sequences and series, convergence tests, Taylor series; parametric equations and polar coordinates. Note, a graphing calculator is required for this course (instruction will be based on TI-89). *4 HRS*

IAI GEC Code - M1 900-2

**MATH 163: Calculus III**

Prerequisite for Calculus III: Calculus II or equivalent of C or better. Topics include (but are not limited to) the following: applications of polar coordinates: area, arc length and conic sections; functions of more than one variable, partial derivatives; the differential, directional derivatives, gradients; double and triple integrals: evaluation and applications. Note, a graphing calculator is required for this course (instruction will be based on a TI 89). *4 HRS*

IAI GEC Code - M1 900-3

**MATH 271: Linear Algebra**

Prerequisite: MATH 162 with a grade of C or higher, or equivalent. This is an introductory course in linear algebra. Topics include vectors, matrices and operations; inverse of a matrix; solution of systems of linear equations; vector spaces and subspaces; linear independence, dependence, and transformations; range and kernel of linear transformations; rank, basis and dimension; determinants; eigenvalues and eigenvectors; inner product spaces and orthogonality. *4 HRS*

**MATH 272: Differential Equations**

Prerequisite: Math 162 with a grade of C or higher, or equivalent. This is an introductory course in differential equations. Topics include linear equations of the first order; linear equations with constant coefficients; the general linear equation; variation of parameters; undetermined coefficients; linear independence; the Wronskian; exact equations; separation of variables; and applications. In addition, the course will cover at least two of the following topics: systems of linear differential equations; solution of Laplace transforms; existence and uniqueness of solutions; solution by power series; oscillation and comparison theorems; partial differential equations; boundary value problems; numerical methods; and stability of solutions. A graphing calculator is required for this course; instruction will be based on the TI-89. *4 HRS*

**MATH 296: Special Topics in Math**

Prerequisite: Faculty approval. Course will offer students an opportunity to study a topic which is (1) unique and infrequently offered as a part of their program curriculum or (2) of special interest to mathematics. Each student wishing to enroll in Special Topics in Mathematics will be reviewed based on (1) previous experience, (2) courses completed, and (3) aptitude/ability match with selected topic. *1-4 HRS*

**MATH 297: Independent Study in Mathematics**

Prerequisite: ENGL 101 and MATH 109 or equivalent, or assessment, and permission of the instructor. Intensive work in an area of mathematics of special interest to the student. Each individual project is to culminate in a comprehensive written report. *1-4 HRS*

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