Mathematics INDIVIDUAL PROGRAM INFORMATION 2014 2015 866.Macomb1 (866.622.6621) www.macomb.edu
Mathematics PROGRAM OPTIONS CREDENTIAL TITLE CREDIT HOURS REQUIRED NOTES Associate of Arts Mathematics 62 Associate of Science also available CONTACT INFORMATION CONTACT TITLE NAME PHONE E MAIL LOCATION Associate Dean Mathematics Department 586.286.2282 AandS.center@macomb.edu Center Campus Associate Dean Mathematics Department 586.445.7354 AandS.south@macomb.edu South Campus Program Description: The Mathematics program is designed to provide students with the basic competencies, knowledge, and skills essential to transfer to a baccalaureate degree program in Mathematics. Career Opportunities: A variety of employment opportunities are attainable upon completion of a 4 year degree in this course of study. To learn more from a career specialist, visit the Office of Career Services at either campus or explore online at www.onetonline.org. Transfer Pathways: Students intending to transfer and complete a bachelor s degree need to make early decisions concerning an academic major and a transfer destination. Statistics show that students who make these decisions early are more likely to persist to graduation than their undecided counterparts. Students planning to transfer credits earned at Macomb are strongly urged to see a counselor or academic advisor as early as possible in their college careers. 8 Transfer Resource Guide 1
ASSOCIATE OF ARTS IN MATHEMATICS Career preparation and related courses (require successful completion of a minimum of 62 credit hours) SUGGESTED SEQUENCE BASED ON FULL-TIME ENROLLMENT. MAY ALSO BE COMPLETED BASED ON PART-TIME ENROLLMENT. CORE COURSES: COMMON DEGREE CORE REQUIREMENTS FOR ASSOCIATE OF ARTS IN MATHEMATICS COURSE COURSE TITLE PREREQUISITE SEMESTER 1 MATH 1760 Analytic Geometry & Calculus 1 Group IA Course: ENGL 1180 ENGL 1210 Group IIIA Course Communications 1 Composition 1 ECON, GEOG, HIST, INTL 2010, INTL 2500, INTL 2700, POLS, SOSC 1010 C or better in MATH 1430 or MATH 1460, or equivalent Placement, or ENGL 0050 or EAPP 1500 with grade C or better CREDIT HRS 4.0 3.0 4.0 9.0 12.0 SEMESTER 2 MATH 1770 Analytic Geometry & Calculus 2 C or better in MATH 1760, or equivalent 4.0 MATH 2000 Introduction to Linear Algebra C or better in MATH 1760, or equivalent 3.0 Group IB Course: ENGL 1190 ENGL 1220 Group IV Course SEMESTER 3 Communications 2 Composition 2 2 courses from any foreign language 2 courses from different areas ARTT, ENGL 2###, HUMN, INTL 2000, INTL 2300, MUSC, PHIL ENGL 1180 or ENGL 1210 3.0 4.0 8.0 9.0 MATH 2760 Analytic Geometry & Calculus 3 C or better in MATH 1770 or equivalent 4.0 Group IV Course 2 courses from any foreign language 2 courses from different areas ARTT, ENGL 2###, HUMN, INTL 2000, INTL 2300, MUSC, PHIL 8.0 9.0 Group IIIB Course Any ANTH, PSYC, SOCY, SOSC 1010 9.0 12.0 SEMESTER 4 MATH 2770 Differential Equations C or better in MATH 2000 and MATH 2760 or equivalent 4.0 Group IIA/B Course Any ASTR, BIOL, CHEM, GEOL, ENVS, NATS, PHSA, PHYS 6.0 8.0 Group IIIC Course: POLS 1000 Introduction to American Politics History of the United States to 1877 4.0 HIST 2100 and HIST 2200 History of the United States Since 1877 Group V Course Any PHED Wellness course 2000 or above 2.0 3.0 NOTE: Students should take elective courses to meet the minimum requirement of 62 hours required for the Associate of Science degree and that are appropriate to their transfer objective. Some of these courses could be prerequisites for core courses. Students should consult with a counselor, academic advisor or program advisor (586.286.2288 Center Campus or 586.445.7211 South Campus). 2
Associate of Arts (AA) Degree The Associate of Arts Degree is intended to provide a basic foundation for a Bachelor of Arts Degree program. Requirements Minimum cumulative grade point average of 2.0 Minimum 15 semester hours of credit earned at Macomb AND EITHER Minimum 62 semester hours of credit in courses numbered 1000 or above, which include: A minimum of 32 semester hours of Arts and Sciences courses as described in the Group Concentrations table A minimum of an additional 30 semester hours. These courses may be: Courses numbered 1000 and above selected at the student s discretion; or Courses required in a program (major) which lead to an Associate of Arts degree. These programs include International Studies, Mathematics*, and Pre Elementary Education. * Note: Also available for an Associate of Science degree. Courses required in a college or university transfer plan. While these plans are available on WebAdvisor, students are strongly encouraged to consult a College counselor or advisor for guidance in following transfer plans. Arts and Sciences Courses Required for the Associate of Arts (AA) Degree Courses are to be selected from each of the Arts and Sciences groups. (Senior colleges usually require 6 8 semester hours in each of Groups I IV, not counting performance, studio or applied techniques courses.) Courses offered by other divisions of the College shall not be substituted for the required Arts and Sciences group requirement courses. It is recommended that the composition/communication course in Group I be started within the first fifteen (15) hours of the degree. Courses numbered below 1000 will not count toward the Associate of Arts degree. See Academic Placement Procedures for information on course placement in chemistry, English, English for Academic Purposes, mathematics, and reading. Contact a counselor or academic advisor if you need help in choosing the appropriate course. 3
Course Descriptions MATH 0050 Fundamentals of Mathematics 3.00 credit hours Prerequisite: None (formerly MTH 005) MATH 0050 is a refresher course in the concepts and skills of arithmetic and includes integers, fractions, decimals, percent, measurement, and an introduction to algebra. (3 contact hrs) MATH 0070 Beginning Algebra 3.00 credit hours Prerequisite: Grade C or better in MATH 0050 or an equivalent college course, or an acceptable score on a (formerly MTH 007) This course in beginning algebra introduces sets of real numbers. It covers addition, subtraction, multiplication, division, factoring of polynomials, integral exponents, linear equations and inequalities in one variable, and linear equations and systems of linear equations in two variables. The course also covers roots and radicals, rational expressions, and equations. (3 contact hrs) MATH 1000 Intermediate Algebra 4.00 credit hours Prerequisite: Grade C or better in MATH 0070 or an equivalent college course, or an acceptable score on a placement exam or prerequisite exam (formerly MTH 100) (3 credit hours prior to Fall 1990) MATH 1000 is an additional course in algebra and includes linear equations and inequalities in one and two variables; systems of linear equations in two and three variables; expressions and equations containing quadratic, rational, radical, exponential, and logarithmic terms; rational and quadratic inequalities; complex numbers; graphs of lines, parabolas, and circles; and an introduction to functions and functional notation. A scientific calculator is required. (4 contact hrs) MATH 1100 Everyday Mathematics 4.00 credit hours Prerequisite: Grade C or better in MATH 0070 or an equivalent college course, or an acceptable score on a MATH 1100 explores applications of mathematics used to solve modern problems. This course is designed for students whose degree does not require any further mathematics courses as it will not serve as a prerequisite for any other math or science course. Topics include graph theory, introduction to statistics, linear regression, probability, voting systems, fair division and apportionment, identification numbers, encryption, patterns, and finance models. (4 contact hrs) MATH 1280 Mathematics for Education 1 4.00 credit hours Prerequisite: Grade C or better in MATH 1000 or an equivalent college course, or an acceptable score on a (formerly MATH 1260) MATH 1280 is the first course in a two course sequence for elementary education students and includes technology; sets; relations; functions; logic; mathematical systems; systems of numeration; natural numbers, integers, and rational and real numbers; prime numbers; greatest common factor; and least common multiple. (4 contact hrs) MATH 1290 Mathematics for Education 2 4.00 credit hours Prerequisite: Grade of C or better in MATH 1280 or equivalent college course, or an acceptable score on a (formerly MATH 1270) MATH 1290 is the second of a two course sequence for elementary education students and includes non metric geometry, metric geometry, coordinate geometry, the metric system, probability, and statistics. (4 contact hrs) MATH 1340 Statistics 4.00 credit hours Prerequisite: Grade C or better in MATH 1000 or equivalent college course, or an acceptable score on a placement or prerequisite exam (formerly MATH 1330) MATH 1340 is for students in those fields where statistical investigations are necessary and includes description of sample data, probability, frequency distributions, sampling, confidence intervals, estimation, testing hypothesis, correlation, chi square distributions, and nonparametric tests. (4 contact hrs) 4
MATH 1360 Finite Mathematics 4.00 credit hours Prerequisite: Grade C or better in MATH 1000 or equivalent college course, or an acceptable score on a placement or prerequisite exam (formerly MTH 136) MATH 1360 is the first of two mathematics courses for students majoring in the areas of business, social science, or life science and includes applications of linear, quadratic, polynomial, exponential, and logarithmic functions; systems of linear equations and inequalities; algebra of matrices and linear programming; elements of probability theory; and applications of probability. (4 contact hrs) MATH 1370 Calculus for Business & Social Sciences 4.00 credit hours Prerequisite: Grade C or better in MATH 1360 or MATH 1410 or MATH 1460, or equivalent college course, or an acceptable score on a (formerly MTH 137) MATH 1370 is the second of two mathematic courses for students majoring in the areas of business, social science, or life science and includes differentiation techniques, optimization, applications of differentiation, the definite integral, finding areas using integration, and applications of integration. (4 contact hrs) MATH 1410 College Algebra 4.00 credit hours Prerequisite: Grade C or better in MATH 1000 or an equivalent college course, or an acceptable score on a (formerly MATH 1420) No credit after MATH 1420, MATH 1450, or MATH 1460. MATH 1410 is one of two courses whose combined content parallels that of MATH 1460 and includes functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, and special topics. Calculators are used throughout the course. (4 contact hrs) MATH 1430 College Trigonometry 3.00 credit hours Prerequisite: Grade C or better in MATH 1410 or an equivalent college course or an acceptable score on a (formerly MTH 143) No credit after MATH 1450 or MATH 1460. This course presents algebraic and geometric review of the essentials for trigonometry, triangle trigonometry, analytic trigonometry, trigonometric identities, trigonometric functions, inverse trigonometric functions, vectors, polar coordinates, polar graphs, complex numbers in rectangular and polar form, and DeMoivre s theorem. Calculators are used throughout the course. (3 contact hrs) MATH 1460 Precalculus 4.00 credit hours Prerequisite: Grade B or better in MATH 1000,or an equivalent college course, or an acceptable score on a (formerly MATH 1450) No credit after MATH 1430. This course takes an analytical approach to the elementary mathematical functions and includes equations; inequalities; conic sections; relations; function properties and graphs; polynomials; rational, exponential, logarithmic, and trigonometric functions; trigonometric identities; and the theory of equations. Calculators are used throughout the course. (4 contact hrs) MATH 1760 Analytic Geometry & Calculus 1 4.00 credit hours Prerequisite: Grade C or better in MATH 1430 or MATH 1460, or equivalent college course, or an acceptable score on a (formerly MTH 176) MATH 1760 is part of the sequence of courses required for most engineering, science, and mathematics majors and includes limits; continuity; differentiation of algebraic and transcendental functions including trigonometric, logarithmic, and exponential base e functions; mean value theorem; applications of the derivative to curve sketching; optimization; related rates; conics; differentials; anti differentiation of algebraic and trigonometric functions; the definite integral; the fundamental theorem of calculus; application of the definite integral to areas; and numerical integration. (4 contact hrs) MATH 1770 Analytic Geometry & Calculus 2 4.00 credit hours Prerequisite: Grade C or better in MATH 1760, or an equivalent college course, or an acceptable score on a (formerly MTH 177) MATH 1770 is part of the sequence of courses required for most engineering, science, and mathematics majors and includes volumes of solids of revolution; differentiation and integration of trigonometric, inverse trigonometric, logarithmic, exponential, and hyperbolic functions; integration techniques; L Hopital s Rule, indeterminate forms and improper integrals; sequences and series; Taylor series; Maclaurin series; and differentiation and integration of power series. (4 contact hrs) 5
MATH 2000 Introduction to Linear Algebra 3.00 credit hours Prerequisite: Grade C or better in MATH 1760 or equivalent college course, or an acceptable score on a placement or prerequisite exam (formerly MTH 200) This course covers systems of linear equations; the algebra of matrices; determinants and their applications; the theory of vector spaces, with emphasis on Euclidean n space; linear transformations and their matrix representations; eigenvalues and eigenvectors; similar matrices; symmetric matrices; the spectral theorem, and applications. (3 contact hrs) MATH 2200 Discrete Mathematics 4.00 credit hours Prerequisite: MATH 1410 with grade C or better, or equivalent college course, or an acceptable score on a (formerly MTH 220) MATH 2200 is an introduction to logic, circuits, graphs, trees, matrices, algorithms, combinatorics and relations within the context of applications to computer science. (4 contact hrs) MATH 2760 Analytic Geometry & Calculus 3 4.00 credit hours Prerequisite: Grade C or better in MATH 1770 or an equivalent college course, or an acceptable score on a (formerly MTH 276) MATH 2760 is part of a sequence of courses required for most engineering, science, and mathematics majors and includes concepts and procedures from vector algebra, vector calculus, quadric surfaces, calculus of functions of two and three variables, multiple integrals, and line integrals. (4 contact hrs) MATH 2770 Differential Equations 4.00 credit hours Prerequisite: Grade C or better in MATH 2000 and MATH 2760 or equivalent college courses (formerly MTH 277) MATH 2770 is part of the sequence of courses required for most engineering, science, and mathematics majors and includes first order differential equations and their applications, higher order differential equations and their applications, differential operators, the Laplace Transform, systems of linear differential equations, series solutions of differential equations, and numerical methods for solving differential equations. (4 contact hrs) 6