MATH ADVISEMENT GUIDE


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1 MATH ADVISEMENT GUIDE Recommendations for math courses are based on your placement results, degree program and career interests. Placement score: MAT 001 or MAT 00 You must complete required mathematics remediation before enrolling in any creditbearing math course. NOTE: If your placement indicates MAT 001, you must complete MAT 001 and MAT 00 in one of the following ways: Enroll in MAT 001 during your first semester; after successfully completing MAT 001, you must enroll in and successfully complete MAT 00. Enroll in MAT 00. This intensive course gives you the opportunity to complete the MAT 001 and MAT 00 remedial requirements in a single semester. Placement score: MAT 100 You may enroll in any of the following courses without satisfying any additional math prerequisite if: You have placed into ENG 100 or 101 and RDG 00 or higher OR You have already completed any required English 001 and/or RDG 001 remediation. These courses can be taken in any order: MAT A Topical Approach to Mathematics (4 credits) MAT Concepts of Mathematics ( credits) MAT 10  Introduction to Statistics ( credits) MAT Algebra and Trigonometry (4 credits) MAT Finite Mathematics: Quantitative Analysis For students in selected teacher education transfer programs: MAT Foundations of Mathematics for Educators ( credits) Placement score: MAT 111 on the College Level Math (CLM) Test OR You have already completed MAT 109 with a grade of C or higher You may take any of the courses listed above or MAT PreCalculus (4 credits) Placement score: MAT 11 on the College Level Math (CLM) Test OR You have already completed MAT 111 with a grade of C or higher You may take any of the courses listed above or MAT 11  Calculus with Applications in Business and Social Sciences (4 credits) or MAT 1  Calculus I (4 credits) NOTE: You may receive credit for MAT 11 or MAT 1, not both. Look inside for detailed descriptions of all courses
2 Students should carefully consider the descriptions below to decide which courses are most appropriate for them. Some descriptions include information that supplements the college catalog. MATH COURSES WITHOUT CREDITLEVEL MATH PREREQUISITES MAT A TOPICAL APPROACH TO MATHEMATICS (4 credits) Catalog Description: Fundamental mathematics topics and their applications. Topics include: problem solving, number systems, geometry, consumer mathematics, mathematical modeling, probability, management science, and social choice and decision making. This course includes a variety of different mathematical topics and their applications. Some of the topics are: problem solving: general plan of attack for solving any problem geometry: the mathematics of intricate fractal designs and/ or global positioning consumer mathematics: credit card debt, mortgages and savings plans optimization: making the best decisions based on mathematical calculations graph theory: planning delivery/ street cleaning routes and/ or DNA and RNA sequencing number systems: how ancient number systems evolved into our number system social choice: the mathematics and fairness of election systems apportionment and Fair Division: how to distribute resources fairly decision making: how to schedule multiple tasks most efficiently probability: calculating odds, as well as permutations and combinations MAT CONCEPTS OF MATHEMATICS ( credits) Catalog Description: Topics include: formal symbolic logic, arguments, methods of proof; basic concepts of sets, set operations and probability, consideration of number systems and computers. This is a logic course, so it may seem very different from other math courses. This course looks at the language of arguments and proofs, rather than focusing on numbers and calculations. Students will: study the meaning of and, or, not, and if then statements use written information to draw valid conclusions learn logical equivalences and how to apply them Other possible topics include: how logic relates to simple electronic circuits and devices strategies for simple games (like tictactoe) basic decision theory truth tables set theory classification and categorization of objects This course may be of particular interest to students interested in English, philosophy or law.
3 MAT 10  INTRODUCTION TO STATISTICS ( credits) Catalog Description: Appropriate and inappropriate uses of statistics, measures of central tendency, variability, some basic concepts of probability, the binomial distribution, the normal and tdistributions, testing hypotheses, estimation, chisquare, linear regression, and correlation. In newspapers, television, magazines and on the Internet, we see graphs and figures that are presented to us as facts. It is useful to know how this information is gathered and organized, and to determine whether these claims seem accurate or misleading. Introductory statistics is an important course for understanding such data and achieving success in many professional careers. In this course, students will study: appropriate and inappropriate uses of statistics the organization and presentation of data descriptive statistics linear correlation and regression probability applications discrete and continuous probability distributions sampling distributions estimation hypothesis testing the chisquare distribution This course may be of particular interest to students focusing on such majors as business, psychology, sociology, education, and nursing. MAT ALGEBRA AND TRIGONOMETRY (4 credits) Catalog Description: This course considers fundamental ideas from algebra, trigonometry, and geometry. A problem solving approach is used. This course is intended to prepare students for MAT 111 (precalculus) and MAT 1 (calculus). It further develops the algebra from MAT 00 (elementary algebra). Students should only register for MAT 109 under the following conditions: a. They need to take MAT 109 for their major b. They need to take MAT 111 for their major, but don t yet fulfill the prerequisite If you plan to take MAT 109, some of the skills you are epected to know before entering the class are listed below. If this material is unfamiliar to you, then you should consider taking MAT 00 before registering for MAT 109. Epress as a single fraction. Find the product of
4 4 Solve for r: r c. r c Solve for : Factor completely: 5 6 y. 5 6y 5 6y If y, find the slope and the yintercept. slope: and yintercept: 0, Simplify : Add: y y y Solve for : 5 6 {, } 1y Simplify 5 9 4y y 7 8 and epress the answer with positive eponents. MAT FOUNDATIONS OF MATHEMATICS FOR EDUCATORS ( credits) This course is only for students enrolled in selected Teacher Education transfer programs. Catalog Description: This course is intended for students who are interested in teaching at the elementary school level. Topics include a development of binary algorithms, the real numbers, field properties of the real number system as applied to abstract mathematical systems, number systems, functions and equivalence relations, solving systems of algebraic equations and number theory, including some algebraic proofs. Applications, historical perspectives, problem solving and the use of technology will be emphasized in all topics. Student will not receive credit for both MAT 100 and MAT 114.
5 5 MAT FINITE MATHEMATICS: QUANTITATIVE ANALYSIS ( credits) Catalog Description: This course covers applications of finite mathematical models, primarily to problems in business and management. Matri operations, Markov analysis, GaussJordan elimination, inputoutput analysis, linear programming and the simple method, game and decision theory will be addressed. MAT 118 ties a variety of interconnected math topics together with applications to business, social science and other fields. Some topics included in this course are: probability linear programming game theory (gambling/ competing businesses) matri operations Markov chains A wide variety of technology is integrated into this course including graphing calculators, Derive, and other computer software This course may be of particular interest to students focusing on business or for students who need an easily transferable liberal arts math course. MATH COURSES WITH CREDITLEVEL MATH PREREQUISITES MAT PRECALCULUS (4 credits) Catalog Description: A primer course for the study of calculus. The function concept plays the unifying role in the study of polynomial, rational, eponential, logarithmic, and trigonometric functions. The modeling of elementary functions is stressed and topics are presented using the Rule of Four: words, tables, graphs, and, formulas. Technological support using a graphing calculator is integrated throughout the semester. In addition, appropriate computer software may also be available. If you plan to take MAT 111, then you will be epected to have a strong foundation in intermediate algebra, with some knowledge of functions, graphing and trigonometry. Below are some concepts your instructor will epect you to be familiar with before you enter the course. If this material is unfamiliar to you, then you should consider taking MAT 109 before registering for MAT 111. Epress 5 as a single fraction. 10 Find an equation of the line passing through the points y, 6 and (5, 1).
6 6 Simply the epression 1 4 and epress the answer with positive eponents. What is the eact value of sin 60? Solve 51 0 for Solve for : 5 a y 5 a y If f ( ) then what is f ( h)? f ( h) h h Remove the parentheses and simplify the epression a 9 a Factor completely: a 7a 1 a ( a a). Factor completely: b 4 b b. MAT 11  CALCULUS WITH APPLICATIONS IN BUSINESS AND SOCIAL SCIENCES (4 credits) Catalog Description: This course is not recommended for Math, Engineering, Science or Computer Science students and it does not satisfy the prerequisite for MAT 1. This course is intended to introduce the fundamental concepts and techniques of calculus to the nonscience student. Special emphasis is given to applications in Business and Social Sciences. Topics include functions and graphs; the derivative and differentiation techniques of algebraic, eponential and logarithmic functions of a single variable; the concept of margin in economics; elasticity of demand; differentials; related rates and optimization problems; growth and decay applications; integrals and integration techniques; application of integrals, including producer's and consumer's surplus; income streams, probability. Note: Students will not receive credit for both MAT 11 and MAT 1.
7 7 MAT 1  CALCULUS 1 (4 credits) Catalog Description: Definitions of limit, continuity and derivative; rates of change, tangent to a curve, chain rule; derivatives of elementary functions, products, quotients; higher order, implicit and inverse differentiation; mean value theorem; maim and minima; differentials; definition of the definite integral, Fundamental Theorem of Integral Calculus; applications; integration of elementary functions. Note: Students will not receive credit for both MAT 11 and MAT 1. If you plan to take MAT 11 or MAT 1, you will be epected to have a strong foundation in Precalculus as well as Intermediate Algebra. Below are some concepts your instructor will epect you to be familiar with before you enter the course. If this material is unfamiliar to you, then you should consider taking MAT 111 or MAT 109 before registering for MAT 11 or MAT 1 Find the solution set for the inequality Simplify the epression Simplify the epression 1 and epress the answer without a denominator. If h( ) 1 and h( ) f ( g( )), find f( ). f ( ) Find the eact value of What is lim 0? tan sin. 4 If h ( ), find the equations of all horizontal and vertical asymptotes to the graph of 4 h (). Vertical asymptotes are and Horizontal asymptote is y 0 If f ( ) 5, find the average rate of change of f( ) with respect to on the interval 1. 1
8 8 Solve e 7 for. ln 7 which can be simplified to ln If f ( ) and h 0 h epress f ( h) f ( ) in simplest form. h If ln a and y ln b epress 1 y y or ln ab in terms of and y. If, find f 1 f ( ) 4.
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