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Course Descriptions

Mathematics Course Listings - Spring 2013

MATH 112:   The Language of Mathematics
4.00 credits
Parker, Adam and Barhorst. Garry

Prerequisite:  Math Placement Level 22 or higher
This is an introduction to mathematics at the beginning college level.  MATH 112 will explore topics in contemporary mathematics with a problem-solving approach.

The class meetings will include lectures, problem-solving sessions, and group work.  The final grade will be based on quizzes, exams, a project, and/or a comprehensive final.  This course is not intended to prepare students for further courses in mathematics.  Mathematical-reasoning intensive.

MATH 118:  Mathematics for Elementary and Middle School Teachers
4.00 credits
Post, Regina

Prerequisite:  Math Placement Level 22 or higher
Study of number systems, number theory, patterns, functions, measurement, algebra, logic, probability, and statistics with a special emphasis on the processes of mathematics: problem solving, reasoning and proof, communicating mathematically, and making connections within mathematics and between mathematics and other disciplines.  Open only to students intending to major in education.  Every year.  Mathematical-reasoning intensive.

MATH 119:  Geometry with Computer Applications for Elementary and Middle School Teachers
2:00 credits
Post, Regina

Prerequisite:  MATH 118
Study of basic concepts of plane and solid geometry, including topics from Euclidean, transformational, and projective geometry with a special emphasis on the processes of mathematics: problem solving, reasoning and proof, communicating mathematically, and making connections among mathematical ideas, real-world experiences, and other disciplines.  Includes computer lab experiences using Geometer’s Sketchpad.  Open only to students majoring in education.  Every year.  Mathematical-reasoning intensive.

MATH 120:  Elementary Functions
4.00 credits
Shelburne, Brian and Stickney, Al

Prerequisite:  Math Placement Level 24 or higher
This is a standard pre‑calculus mathematics course that explores the functions common to the study of calculus.  Examination of polynomial, rational, exponential, logarithmic, and trigonometric functions will be done using algebraic, numeric, and graphical techniques.  Applications of these functions in formulating and solving real-world problems will also be discussed.

Depending on the instructor, the final grade in the course may be based on homework, quizzes, tests, and a comprehensive final exam.  Students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class and for homework assignments.  Mathematical-reasoning intensive.

MATH 127:  Introductory Statistics
4.00 credits
Lewis, Obed

Prerequisites:  Math Placement Level 23 or higher
A study of statistics as the science of using data to glean insight into real-world problems.  Includes principles and methods for describing and summarizing data, sampling procedures and experimental design, inferences about the real-world processes that underlie the data, and student projects for collecting and analyzing data.  Open to non-majors only. 

NOTE:  A student may receive credit for only one of the following statistics courses: MATH 127, MATH 227, PSYC 107, or MGT 210.   Mathematical-reasoning intensive.

MATH 131     Essentials of Calculus
(4  credits)
Shelburne, Brian

Prerequisite:  MATH 120 or Math Placement Level 25
This one semester calculus course is an introduction to the techniques and applications of differential and integral calculus.  The applications come primarily from the economics and bio-sciences and do not involve any trigonometric models.  The final grade in the course will be based on homework, quizzes, tests, and a comprehensive final exam.

Students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class and for homework assignments. Mathematical-reasoning intensive.

Notes:  1. Students may not receive credit for both MATH 131 and MATH 201
2.  MATH 131 does not satisfy the prerequisite for MATH 202.
3.  Take MATH 131 only if you are POSITIVE that you will take only one semester of calculus at Wittenberg.  Otherwise, you should take MATH 201.

MATH 201:  Calculus I
4.00 credits
Sancier-Barbosa, Flavia

Prerequisite:  MATH 120 or Math Placement Level 25
Calculus is the mathematical tool used to analyze changes in physical quantities.  This is the first course in the standard calculus sequence.  It develops the notion of "derivative", which is used for studying rates of change, and then introduces the concept of "definite integral", which is related to area problems.  The overall approach will emphasize the concepts of calculus using graphical, numerical, and symbolic methods.

The two-semester calculus sequence, MATH 201/202, is required for all students majoring or minoring in mathematics, computer science, physics, or chemistry.  MATH 201 and MATH 202 can also count as supporting science courses for the BA and BS programs in Biology, Geology, and Biochemistry/Molecular Biology.  Students who are sure they will take only one semester of calculus may be better served in the single-semester introduction to calculus, MATH 131: “Essentials of Calculus”.  Talk with your advisor or with any math professor for advice on which calculus course is most appropriate for you.

Students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class, for homework assignments, and for tests.  If you have a different calculator that you’d like to use for the class, contact the instructor to find out whether your calculator is appropriate. 

The final grade in the course could be based on homework, quizzes, tests, and a comprehensive final exam.  Mathematical-reasoning intensive.

NOTE:  Students may not receive credit for both MATH 131 and MATH 201.

MATH 202:  Calculus II
4.00 credits
Stickney, Al and Higgins, William

Prerequisite:  MATH 201
This is the second course in Wittenberg’s three semester calculus sequence. MATH 202 is primarily concerned with integration and power series representations of functions. Topics covered include indefinite and definite integrals, the Fundamental Theorem of Calculus, integration techniques, approximations of definite integrals, improper integrals, applications of integrals, power series, Taylor series, geometric series, and convergence tests for series.

Normally, students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class, for homework assignments, and for tests.  If you have a different calculator that you’d like to use for the class, contact the instructor to find out whether your calculator is appropriate.

The final grade in the course will be based on quizzes, tests, and a comprehensive final exam.  Mathematical-reasoning intensive.

MATH 210:  Fundamentals of Analysis
4.00 credits
Higgins, William

Prerequisite: MATH 202
Functions, set theory, sequences, the topology of the real line, and methods of mathematical proof.  Particular emphasis is given to careful, accurate definition and proof of mathematical concepts.  Grades may be based on several tests, quizzes, homework assignments, and a final examination.

Writing intensive.  Mathematical-reasoning intensive.

MATH 212:  Multivariable Calculus
4.00 credits
Stickney, Al

Prerequisite:  MATH 202
This course completes the basic calculus sequence.  It covers the calculus of functions of several variables and associated analytic geometry.  Students are required to have a TI-83, TI-84, or TI-86 graphing calculator for use in class, for homework assignments, and for tests.  The final grade in the course is based on quizzes, tests, and a comprehensive final exam.  Mathematical-reasoning intensive. 

MATH 345:  Optimization
4.00 credits
Sancier-Barbosa, Flavia

Prerequisite:  COMP 150 and MATH 201.  Co-requisite:  MATH 205 or permission of instructor.
Optimization has become an essential part of many disciplines, as the need to identify optimal and improved combinations using available options increases rapidly. This topics course examines several methods for finding optimal and near optimal solutions in use in several important application areas such as engineering, nutrition, manufacturing, chemistry, finance and interacting systems. Methods for finding optimal combinations in linear and non-linear systems will be covered. The course will be driven by practical applications employing the use of computer solutions with Mathematica®.

This course will be given for mathematics credit (MATH 345) or computer science credit (COMP 345) and should be of special interest to students in sciences and computational science, in particular. This course will satisfy an elective for the computational science minor.  Mathematical-reasoning intensive.

Grades will be based upon assignments and exams.

MATH 365:  Abstract Algebra
4.00 credits
Parker, Adam

Prerequisite:  MATH 205 and MATH 210
This course will focus on abstract algebraic structures such as groups, rings, and fields with particular attention to groups.  There will be an emphasis on presenting arguments with a full explanation of the reasoning.  Grades will be based on written homework, work done in class, quizzes, and exams.  Writing intensive.  Mathematical-reasoning intensive.  

Math 380:  Introduction to Graph Theory
4.00 credits
Higgins, William

Prerequisite:  Math 210 or permission of instructor
The graphs we have in mind here are not graphs of functions as encountered in calculus.  A graph in this context consists of a set of vertices along with a set of edges connecting the vertices.  Graph theoretic models have found uses in subjects like computer science, chemistry, electrical engineering and the social sciences.  This course will focus on the study of graphs as algebraic structures:  eulerian, hamiltonian, complete, connected and planar graphs.  Applications may include scheduling and routing problems and a discussion of algorithms for optimal or near-optimal solutions.  Combinatorial topics could include generating functions, recurrence relations, Polya's theorem and Ramsey Theory.   Students will be expected to learn definitions and write proofs in addition to learning some of the computational aspects of graph theory.

The final grade in the course will be based on homework, quizzes, tests and a comprehensive final exam.  Mathematical reasoning intensive.

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