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2014-2015 Undergraduate Academic Catalog | Expires Aug. 2021 THIS CATALOG IS ARCHIVED. BE SURE YOU ARE ACCESSING THE MOST ACCURATE CATALOG FOR YOU.
Mathematics Courses
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Mathematical Sciences
Mathematical Sciences
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MATH 081 - Basic Mathematical Skills
This course is designed to help students develop requisite skills in addition, subtraction, multiplication, division, decimals and operations, using percentages and ratios and basic linear equations.
Credits: 2 cr
Notes: Credits earned in remedial courses (000 level) will not apply toward the credits required for graduation. However, they will count toward determining “full load” for students receiving financial aid.
Not applicable to general education requirements and/or minor requirements.
See also Basic Skills Course Requirement and Course Placement Tests . -
MATH 082 - Beginning Algebra
Introduction to sets, axioms, factoring, first and second degree equations and inequalities, graphs, exponents and radicals.
Prerequisite: MATH 081 or satisfactory score on the course placement test.
Credits: 4 cr
Notes: Credits earned in remedial courses (000 level) will not apply toward the credits required for graduation. However, they will count toward determining “full load” for students receiving financial aid.
Not applicable to general education requirements and/or minor requirements.
See also Basic Skills Course Requirement and Course Placement Tests . -
MATH 103 - Intermediate Algebra
Sets, axioms, factoring, functions, first and second degree equations and inequalities, graphs, exponents and radicals.
Prerequisite: MATH 082 or satisfactory score on the course placement test.
Credits: 4 cr
Notes: Not applicable to general education requirements and/or minor requirements. -
MATH 110 - Math for Elementary Teachers I
An introduction to the mathematical content knowledge needed by those who plan to teach in grades K-8. Included are mathematical reasoning; patterns; numeration systems; numerical computations; estimation strategies; introductory concepts of number theory; properties of whole numbers, integers, rational numbers, irrational numbers culminating in the set of real numbers; problem-solving and mathematical modeling with connections among mathematical ideas and within contexts in the larger physical world. Teacher candidates use the language of mathematics to communicate mathematical ideas orally and in writing. Topics from the history of mathematics and from various cultural perspectives are integrated within the course material. This course prepares teacher candidates for the mathematics basic skills portion of the Michigan Test for Teacher Certification; thus teacher candidates perform all calculations without the use of a calculator.
Prerequisite: MATH 082 or satisfactory score on the course placement test.
Credits: 4 cr
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MATH 120 - Algebraic Methods
Offered as MATH 120A - Algebraic Methods: College Algebra (GE3) or MATH 120B - Algebraic Methods: Finite Math (GE3) . Using algebraic techniques, students develop analytical reasoning skills to construct mathematical models, solve problems and interpret results.
Prerequisite: MATH 103 or satisfactory placement.
Credits: 4 cr
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MATH 120A - Algebraic Methods: College Algebra (GE3)
MATH 120 is offered as MATH 120A - Algebraic Methods: College Algebra or MATH 120B Algebraic Methods: Finite Math (GE3) .
Using algebraic techniques, students develop analytical reasoning skills to construct mathematical models, solve problems and interpret results.
In MATH 120A, students engage in a more in-depth development and extension of the algebraic concepts and method introduced in MATH 103 . Topics include algebraic expressions, equations and inequalities; functions, their transformations and graphs; polynomials and rational functions; rational and complex zeros of polynomials, systems of equations and inequalities; applications of matrices.
Prerequisite: MATH 103 or satisfactory placement.
Credits: 4 cr
General Education: Category 3
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MATH 120B - Algebraic Methods: Finite Math (GE3)
MATH 120 is offered as MATH 120A - Algebraic Methods: College Algebra (GE3) or MATH 120B - Algebraic Methods: Finite Math (GE3) . Using algebraic techniques, students develop analytical reasoning skills to construct mathematical models, solve problems and interpret results.
In MATH 120B, students study equations and inequalities, functions, systems of equations, linear programming including the simplex method, quadratic functions, exponential and logarithmic functions, mathematics of finance, introductions to differential calculus including derivatives and applications. The course emphasizes applications from business and economics.
Prerequisite: MATH 103 or satisfactory placement.
Credits: 4 cr
General Education: Category 3
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MATH 125 - Contemporary Mathematics (GE3)
A liberal arts course providing an introduction to logical inference, statistics, probability, management science, social choice, concepts of size and shape, algorithmic processes and consumer mathematics. Emphasis on understanding rather than computational expertise. Includes a library and writing component.
Prerequisite: MATH 082 or satisfactory score on the course placement test.
Credits: 4 cr
General Education: Category 3
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MATH 132 - Statistical Methods
Offered as MATH 132A - Statistical Methods: General Statistics (GE3) or MATH 132B - Statistical Methods: Biostatistics (GE3) . In this introduction to statistical methodology, students identify methods of acquiring, organizing and analyzing data so as to make decisions and respond to arguments. Topics include graphical representation of data, probability distributions, confidence intervals and hypothesis test, parametric and non-parametric techniques, regression and correlation, and analysis of variance.
Prerequisite: MATH 082 or satisfactory score on placement test.
Credits: 4 cr
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MATH 132A - Statistical Methods: General Statistics (GE3)
MATH 132 is offered as MATH 132A - Statistical Methods: General Statistics (GE3) or MATH 132B - Statistical Methods: Biostatistics (GE3) . In this introduction to statistical methodology, students identify methods of acquiring, organizing and analyzing data so as to make decisions and respond to arguments. Topics include graphical representation of data, probability distributions, confidence intervals and hypothesis test, parametric and non-parametric techniques, regression and correlation, and analysis of variance. Includes applications from many arenas such as business, politics, medicine and health, the social and behavioral sciences, education and environmental science.
Prerequisite: MATH 082 or satisfactory score on the course placement test.
Credits: 4 cr
General Education: Category 3
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MATH 132B - Statistical Methods: Biostatistics (GE3)
MATH 132 is offered as MATH 132A - Statistical Methods: General Statistics (GE3) or MATH 132B - Statistical Methods: Biostatistics (GE3) . In this introduction to statistical methodology, students identify methods of acquiring, organizing and analyzing data so as to make decisions and respond to arguments. Topics include graphical representation of data, probability distributions, confidence intervals and hypothesis test, parametric and non-parametric techniques, regression and correlation, and analysis of variance. Special emphasis on applications from biology and the health sciences.
Prerequisite: MATH 082 or satisfactory score on the course placement test.
Credits: 4 cr
General Education: Category 3
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MATH 140 - Introductory Mathematical Analysis (GE3)
Introductory topics in mathematical analysis with special emphasis on functions including logarithmic, exponential and trigonometric functions.
Prerequisite: MATH 120A or satisfactory placement.
Credits: 4 cr
General Education: Category 3
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MATH 161 - Calculus I (GE3)
Introduction to limits, continuity, derivatives and integrals. Applications of derivatives and integrals.
Prerequisite: MATH 140 or satisfactory placement.
Credits: 4 cr
General Education: Category 3
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MATH 162 - Calculus II
Derivatives and integrals of non-algebraic functions. Techniques of integration. Improper integrals. Further applications of derivatives and integrals. Parametric equations and polar coordinates. Analytic geometry and conic sections. Infinite sequences and series.
Prerequisite: MATH 161 .
Credits: 4 cr
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MATH 190 - Special Topics
Topics of special or current interest are offered periodically. The credit allowed for the particular course will be set by the department. Appropriate prerequisite and contents will vary with the nature of the course offering and will be determined by the department.
Credits: 1-3 cr
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MATH 193 - College Success
This course is attached to select existing Basic Skills and General Education courses for the purpose of enhancing the success of first year college students. More detail can be found in the catalog section resources and services for students.
Prerequisite: Permission of academic advisor
Credits: 1 cr
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MATH 210 - Mathematics for Elementary Teachers II
A continuation of MATH 110. Included are mathematical reasoning and proof; complex patterns; number theory concepts; measurement; geometric concepts such as congruence, similarity, symmetry, transformations, and coordinate geometry; functions, graphing and other algebraic concepts; elementary probability and statistics; mathematical modeling in a variety of contexts. Topics from the history of mathematics and from various cultural perspectives are integrated within the course material. Teacher candidates will be exposed to technology that is relevant to the teaching and learning of course material.
Prerequisite: MATH 103 , MATH 110 .
Credits: 4 cr
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MATH 214 - Geometry
Computations and proofs in geometry, including angles, measurement, congruent triangles, parallel and polygon theorems, right triangles, circles, areas, coordinate geometry, space geometry and non-Euclidean geometry.
Prerequisite: MATH 103 and MATH 210 , or instructor permission.
Credits: 4 cr
Notes: Not applicable to general education requirements. Not applicable to minor except for elementary education majors or mathematics minor for teacher certification. -
MATH 223 - Matrix Algebra
This course examines linear systems, Gaussian elimination, matrix operations, determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, diagonalization, inner product spaces, and applications.
Prerequisite: MATH 161 .
Credits: 4 cr
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MATH 261 - Calculus III
Three dimensional analytic geometry and vectors. Limits and continuity of functions of several variables. Partial derivatives, multiple integrals, vector calculus and applications.
Prerequisite: MATH 162 .
Credits: 4 cr
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MATH 262 - Differential Equations
Exact solutions of common types of first-order ordinary differential equations, linear equations of higher order, power series solutions, Laplace transforms, linear systems including matrix methods, graphical and numerical techniques and applications of differential equations.
Prerequisite: MATH 261 .
Credits: 4 cr
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MATH 281 - Math Found of Actuarial Sci
Fundamental mathematical tools for quantitatively accessing and managing financial risk. The course is specifically geared toward the student preparing for the Course 1 Actuarial Examination.
Prerequisite: MATH 261 . Corequisite: MATH 304 .
Credits: 3 cr
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MATH 290 - Special Topics
Topics of special or current interest are offered periodically. The credit allowed for the particular course will be set by the department. Appropriate prerequisite and contents will vary with the nature of the course offering and will be determined by the department.
Credits: 1-3 cr
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MATH 291 - Special Topics
A departmental seminar in a subject area not currently listed in the catalog. A descriptive title will appear on the course schedule and the transcript.
Prerequisite: As listed in the course schedule.
Credits: 1-4 cr
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MATH 300 - Discrete Math Structures
Sets, logic and induction, combinations and permutations, graph theory, functions and relations, Boolean algebras and other structures, isomorphisms, homomorphisms, finite state machines.
Prerequisite: MATH 161 and a structured programming language suitable for math.
Credits: 3 cr
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MATH 302 - Introduction to Modern Mathematics
Historical development of the major concepts in geometry, algebra and logic. The nature of geometric and algebraic systems.
Prerequisite: MATH 261 or one 300-level MATH course.
Credits: 3 cr
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MATH 304 - Applied Probability & Statistics
Intended for students who have had one year of calculus. Basic probability theory, applications, using combinations, continuous and discrete random, variables, estimation, test of hypotheses, correlation and regression, and confidence, intervals.
Prerequisite: MATH 162 .
Credits: 3 cr
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MATH 310 - Mathematical Modeling
Mathematical models and modeling techniques drawing on various branches of mathematics, such as algebra, geometry, calculus, and statistics.
Prerequisite: , MATH 214 , MATH 125 , MATH 132 and MATH 161 , or instructor permission.
Credits: 3 cr
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MATH 311 - Applied Stochastic Processes
Stochastic Modeling, conditional probability, Markov Chains, Poisson Processes, queuing theory, continuous time Markov Processes and Brownian Motion.
Prerequisite: MATH 162 .
Credits: 3 cr
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MATH 313 - Number Theory
An elementary introduction to the theory of numbers. Topics may include prime factorization, Euclidean algorithm, congruencies, Diophantine equations, distribution of primes, quadratic, residues and continued fractions.
Prerequisite: MATH 261 .
Credits: 3 cr
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MATH 323 - Linear Algebra
Matrices over a field. Vector spaces and linear transformations. Derivation of the standard canonical forms. Includes probability and statistical applications and other related topics.
Prerequisite: MATH 262 .
Credits: 3 cr
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MATH 390 - Special Topics
Topics of special or current interest are offered periodically. The credit allowed for the particular course will be set by the department. Appropriate prerequisite and contents will vary with the nature of the course offering and will be determined by the department.
Credits: 1-3 cr
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MATH 393 - Readings in Mathematics
The course content must be submitted by student to department for approval before the student may enroll.
Prerequisite: 3.00 GPA and instructor permission.
Credits: 1-4 cr
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MATH 403 - Complex Analysis
Properties of complex functions. Cauchy-Riemann, equations, analytic functions, mappings, Cauchy-Goursat Theorem, Taylor and Laurent series, residues and poles and conformal mapping.
Prerequisite: MATH 262 and one 300-level MATH course.
Credits: 3 cr
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MATH 405 - Real Analysis
A detailed study of the real number system; functions, limits, continuity, uniform continuity; point sets: open, closed, compact and connected; differentiation and integration.
Prerequisite: MATH 262 and one 300-level MATH course.
Credits: 3 cr
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MATH 419 - Applied Algebra
An introduction to abstract algebraic tools that are useful for applications. Topics covered include the structure of integers, groups, finite fields and their polynomial rings and their applications to the construction of error correcting codes, public key crypto-systems and security, and finite state machines.
Prerequisite: MATH 261 or MATH 162 ; and one 300-level MATH course.
Credits: 3 cr
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MATH 420 - Abstract Algebra
Group theory, ring theory and field theory, isomorphism theorems. Polynomial rings.
Prerequisite: MATH 262 and one 300-level MATH course.
Credits: 3 cr
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MATH 441 - Numerical Analysis I
Theory of matrices. Numerical solution of linear and non-linear algebraic equations and eigenvalue problems; curve fitting; interpolation theory; numerical integration; differentiation and solution of differential equations; algorithms and computer programming.
Prerequisite: MATH 262 and one 300-level MATH course
Credits: 3 cr
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MATH 454 - Probability & Statistics I
Mathematical probability as a basic of statistics. Discrete and continuous probability models, conditional probability and independence, random variables, central limit theorem, sampling distributions, estimation, confidence intervals and test of hypothesis.
Prerequisite: MATH 262 .
Credits: 3 cr
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MATH 471 - Abstract Geometry
An axiomatic approach to geometry. Selected geometries studied in depth.
Prerequisite: MATH 162 , and MATH 300 , MATH 302 or MATH 323 .
Credits: 3 cr
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MATH 476 - Content/Concepts: Sec School Mathematics
Connections between content of college mathematics courses and secondary school mathematics, exploration of various approaches, view of mathematics as a dynamic body of knowledge. Restricted to majors in Mathematics Teacher Certification.
Prerequisite: Math teacher certification major, one 400-level MATH course or instructor permission.
Credits: 2 cr
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MATH 480 - Senior Seminar in Math
Problem solving using selected topics from the common courses required in the majors offered by the Department of Mathematical Sciences.
Prerequisite: Senior standing or instructor permission.
Credits: 1 cr
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MATH 490 - Special Topics
Topics of special or current interest are offered periodically. The credit allowed for the particular course will be set by the department. Appropriate prerequisite and contents will vary with the nature of the course offering and will be determined by the department.
Credits: 1-3 cr
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MATH 491 - Special Topics
A departmental seminar in a subject area no, currently listed in the catalog. A descriptive title will appear on the course schedule and the transcript.
Prerequisite: As listed in the course schedule.
Credits: 1-3 cr
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MATH 492 - Honors
A course approved by the honors committee in a subject area not currently listed in the catalog. A descriptive title will appear on the course schedule and the transcript.
Prerequisite: As listed in the course schedule and honors student status; for other students with a 3.40 GPA or higher, instructor permission.
Credits: 1-4 cr
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MATH 493 - Readings in Math
The course content must be submitted by student to department for approval before the student may enroll.
Prerequisite: 3.00 GPA and instructor permission.
Credits: 1-4 cr
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MATH 498 - Honors Thesis
Preparation and completion of an Honors Thesis. May enroll twice, one for the preparation of the proposal and once for its completion.
Prerequisite: Honors student status and thesis advisor permission.
Credits: 3 cr
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