Mathematics Courses Descriptions

Select a course to see its description.

98 Mathematical Connections 3 cr
A course in quantitative reasoning that examines the arithmetic of real numbers, geometry, measurement, and algebra using application and problem solving techniques. An emphasis is placed on exploring these mathematical concepts within the context of global issues. No Prerequisite. (F/S)

99 Math Workshop 2 cr
Continuation of Mathematical Connections. Must be taken the semester after MATH 98. (Prerequisite: Consent of instructor) (F/S)

101 Introduction to Problem Solving 3 cr
An introduction to problem solving and mathematical thinking; the focus of this course is on the process of mathematics rather than specific techniques or content. Students will engage in mathematical problem solving in a variety of contexts and learn a number of broadly applicable ways of approaching new problems. This course satisfies the College general education requirement in math. (Prerequisite: satisfactory score on placement examination or passing grade in MATH 98) (F/S/SS)

102 Arithmetic Structures 3 cr
This course focuses on the arithmetic and algebraic content of Pre-K--8  mathematics and appropriate teaching methods.  Instruction will be guided by the NCTM Principles and Standards for School Mathematics and the Wisconsin Model Academic Standards for Mathematics.  Emphasis is on problem solving, critical thinking, and communication.  This course does NOT satisfy the college General Education requirement in math.   (Prerequisite: MATH 101 with a grade of "C" or above) (F/S/eSS)

103 Geometric Structures 3 cr
This course focuses on the geometric and measurement content of Pre-K--8 mathematics and appropriate teaching methods.  Instruction will be guided by the NCTM Principles and Standards for School Mathematics and the Wisconsin Model Academic Standards for Mathematics.   Emphasis is on problem solving, critical thinking, and communication. This course does NOT satisfy the college General Education requirement in math. (Prerequisite: MATH 102 with a grade of "C" or above) (F/S/oSS)

111 College Algebra 3 cr
Course topics include: basic algebraic skills, equations and systems of equations, inequalities, functions and their properties, and applications.  The emphases of the course will be on using linear, quadratic, and exponential functions to model real-world phenomena and on drawing conclusions about the world from those models.  Satisfies the Foundations requirement in math.  (Prerequisite: placement or passing grad in Math 98) (F/S/SS)

Note:  This course is designed as a prerequisite to other math, business, and science courses.  It is highly recommended that students who are not planning to enroll in any course requiring Math 111 take Math 101 in order to satisfy the Foundations requirement in math.

112 College Algebra and Trigonometry 4 cr
Course topics include basic algebraic skills, equations and systems of equations, functions and their properties, and applications.  The emphases of the course will be on using linear, quadratic, exponential functions, and trigonometric to model real-world phenomena and on drawing conclusions about the world from those models.  This course satisfies the college General Education requirement in mathematics.  (Prerequisite: MATH 111 or placement) (F/S)

121 Statistics 3 cr
Course topics include descriptive and inferential statistics with the emphasis on drawing meaningful conclusions from sets of data. Topics include measures of central tendency and dispersion, the normal distribution, z-tests, t-tests, linear regression, analysis of variance, Chi-Square tests, and other topics as time permits. This course does NOT satisfy the College General Education requirement in math. (Prerequisite: MATH 101 or 111, or placement) (F/S/SS)

122 Finite Mathematics 3 cr
An introduction to finite mathematics; course topics including linear systems, linear programming, mathematics of finance, probability, and other related topics. This course is designed primarily for business majors. This course satisfies the College General Education requirement in math. (Prerequisite: MATH 111 or placement) (F/S)  

131 Mathematical Modeling 3 cr
A mathematical modeling approach to understanding the relationships between data, tables, graphs and functions. Topics include linear, quadratic, exponential, logarithmic functions; curve fitting; linear and exponential regression. Applications to various disciplines are investigated through the construction and analysis of mathematical models. The course is intended to be equivalent to College Algebra and satisfies the College General Education requirement in math. (Prerequisite: satisfactory score on placement examination or passing grade in MATH 98)

171 Topics of Mathematics 1-3 cr
This course is offered in response to student needs and interests.  Topics vary. This course does NOT satisfy the College General Education requirement in math unless explicitly stating so in its course description.

231 Calculus I 4 cr
An introduction to differential and integral calculus, and plane analytic geometry.  Derivatives are developed for algebraic functions, logarithmic and exponential functions for various bases, and trigonometric functions and their inverses; Taylor series are introduced. Definite integrals and antiderivatives are developed for algebraic, exponential, logarithmic, and trigonometric functions. Applications of key concepts are integrated throughout the course. Satisfies the Foundations requirement in math.  (Prerequisite: Math 112, high school calculus, or placement.)  (F/S)

232 Calculus II 4 cr
This course is a continuation of differential and integral calculus. Topics include integration techniques, improper integrals, applications, differential equations, Taylor polynomials, and infinite series. This course emphasizes the mastery of key concepts and their applications. This course satisfies the College General Education requirement in math. (Prerequisite: MATH 231 with a grade of “C” or above) (S)

233 Calculus III 4 cr
An introduction to multivariable calculus; topics include vectors, curves, partial derivatives, differential forms, gradients, multiple and iterated integrals, Green’s and Stokes’ theorems. This course satisfies the College General Education requirement in math. (Prerequisite: MATH 232 with a grade of “C” or above) (F)

301 Problem Solving and Proof 3 cr
This course is intended as a gateway to upper-level mathematics courses.  The emphasis is on creative problem solving strategies, structures and techniques of proof, as well as effective oral and written communication of mathematical ideas.  It is designed to ease the transition from algebra and calculus to more theoretical courses such as abstract algebra, geometry and real analysis.  (Prerequisite: MATH 231) (F)

331 Differential Equations 3 cr
Theory of ordinary differential equations with an emphasis on problems of the physical world which are modeled well by differential equations; topics include first order equations, second order and higher linear equations, series solutions, a brief introduction to numerical methods and partial differential equations as time permits. (Prerequisite: MATH 232; MATH 233 highly recommended) (oS)

341 Linear Algebra 3 cr
An introduction to linear algebra including matrices, linear transformations, eigenvalues and eigenvectors; linear programming. (MATH 301 highly recommended) (S)  

371 Selected Topics in Applied Mathematics 1-3 cr
This course is offered in response to student needs and interests.  Topics vary within applied mathematics. (MATH 301 highly recommended)

 379 Independent Study 1-3 cr

Independent study of selected topics in mathematics developed by the student with the approval and direction of the instructor. (Prerequisite: consent of the instructor)

431 Real Analysis 4 cr

 This course introduces analysis as a tool necessary for a deeper understanding of calculus. With the least upper bound axiom of the real numbers as its starting point, the course carefully develops the foundations necessary to work with limits and prove results from calculus. Topics include sequences, series, power series, derivatives, and integrals. Time permitting the course will explore how the same tools are used in more advanced settings. (Prerequisite: Math 233; MATH 301 required)  (oS)

432 Complex Analysis 4 cr
This course continues the study of analysis shifting from the real numbers to complex numbers. Topics include functions of a complex variable, Cauchy's theorem, integration by residues, power series, and conformal mappings. (Prerequisites: Math 233 and MATH 301; Math 431 is recommended.)   (oF)

441 Abstract Algebra I 4 cr
This introductory course in abstract algebra is focused mainly on number theory, with an introduction to the concepts of groups, rings, and fields.  Number theoretic concepts include divisibility (such as Bezout’s identity, the Fundamental Theorem of Arithmetic), congruences, number-theoretic functions, Euler’s Theorem, linear Diophantine equations, Quadratic Reciprocity, and applications to cryptography.  (MATH 301 required) (oF)

442 Abstract Algebra II 4 cr
This course continues the study of abstract algebra and is focused mainly on groups, with some exploration of rings and fields as time allows.  Group theoretic topics include subgroups, normal subgroups and quotient groups, and some counting principles.  A wide variety of examples will be explored.  (Prerequisite: MATH 441) (eS)

451  Explorations of Middle/Secondary School Mathematics  4 cr
This course focuses on the content of middle and secondary school mathematics and appropriate teaching methods. Instruction will be guided by the NCTM Principles and Standards for School Mathematics and the Wisconsin Model Academic Standards for Mathematics. Emphasis is on problem solving, critical thinking, communication, and issues of technology as they relate to number and operations, the development of algebraic and geometric reasoning, measurement, data analysis and probability in grades 5-12.  Students will investigate and review the content of current mathematics text series, and will observe and interact with learners engaged in studying these topics.  (Math 301 highly recommended) (eF)

459 Teaching of Mathematics in Middle/Secondary Schools 3 cr
This course is designed to provide an integrative study of curriculum and instruction in mathematics for middle/secondary level classrooms including appropriate research and practice in curriculum development, teaching methods, instructional materials, evaluation and assessment at the middle/secondary level. Emphasis will be placed on the NCTM Principles and Standards for School Mathematics. (Prerequisite: MATH 103 or 451, junior standing, and either admission to Teacher Education Program, or consent of both Department of Education and Department of Mathematics and Computer Science) Cross listed with ED 459M (oS)

461 Geometry 4 cr
An introduction to geometry. Topics include postulation development of Euclidean and non-Euclidean geometry; introduction of other geometries: projective, finite, vector, and transformational; historical development of geometry. (MATH 301 required) (eF)

462 Topology 4 cr
This course continues the study of properties of spaces invariant under homomorphisms. Topics include continuity, homomorphisms, connected-ness, compactness, manifolds, the classification of closed, compact surfaces, the Euler characteristic, the fundamental group, and knot theory. (Math 461 is recommended; MATH 301 required)   (oF)

471 Selected Topics in Pure Mathematics 1-3 cr
This course, which is offered occasionally, examines different topics in pure mathematics. (MATH 301 highly recommended)

479 Independent Study 1-3 cr
Independent reading and research of selected topics in mathematics developed by the student with the approval and direction of the instructor. (Prerequisite: consent of the instructor)

485 Mathematics Seminar 2 cr
Selected topics in mathematics and related fields. A seminar format which includes presentations by students, faculty, and outside speakers, and class discussion. Because the content varies, this course may be taken more than once. (Prerequisite: sophomore standing and consent of instructor) (F)

490, 491 Internship I, II Arr
Work experience related to the major. (Prerequisite: junior or senior status in the major in mathematics; consent of Department)

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Copyright © 2001 Ken Jewell & Edgewood College All rights reserved.
Revised: February 05, 2008 

For more information please contact:  jewell@edgewood.edu