Course Listings - Spring 2003

MATH 112
THE LANGUAGE OF MATHEMATICS
4 SEM HRS
BARHORST

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. The prerequisite for this course is Math Placement Level 22 or higher. 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 SEM HRS
KRAUS

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, communicating mathematically, and making connections within mathematics and between mathematics and other areas. Open only to students intending to major in education. Prerequisite: Math Placement Level 22 or higher. Every year. Mathematical-reasoning intensive.

MATH 119
GEOMETRY WITH LOGO PROGRAMMING FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS
2 SEM HRS
KRAUS

Study of basic concepts of plane and solid geometry, including topics from Euclidean, transformational, and projective geometry. Includes computer programming experiences using Logo with a special emphasis on geometry and problem solving. Prerequisites: MATH 118. Every year. Mathematical-reasoning intensive.

MATH 120
ELEMENTARY FUNCTIONS
4 SEM HRS
ASHTON/WHITAKER

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.

The final grade in the course is based on quizzes, tests, and a comprehensive final exam. Students are required to have a TI-83, TI-83 Plus, or TI-86 graphing calculator for use in class and for homework assignments.

The prerequisite for this course is Math Placement Level 24 or higher. Mathematical-reasoning intensive.

MATH 131
ESSENTIALS OF CALCULUS
4 SEM HRS
ASHTON

This one semester calculus course is an introduction to the techniques and applications of differential and integral calculus. The applications come primarily from the bio-sciences and do not involve any trigonometric models. The final grade in the course will be based on written homework assignments, tests, and a comprehensive final exam.

The prerequisite is MATH 120 or Math Placement Level 25. Students are required to use a TI-89 or TI-92+ calculator in this course. If you do not have either of these calculators, you will be required to rent one of the department's TI-92+ calculators for $10.00. 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 171
DISCRETE MATHEMATICS
4 SEM HRS
SHELBURNE

This course covers a variety of topics in discrete mathematics which are important to the understanding of computer science and mathematics: logic, set theory, combinatorics and simple discrete probability theory, relations and functions, recursion and recurrence relations, and graph theory. The course will stress the presentation of mathematical arguments and proofs. Grading will be based on in-class tests, written homework assignments, and a final exam. Required for a major in computer science. Prerequisite is Math Placement Level 25. WRITING INTENSIVE. Mathematical-reasoning intensive.

MATH 201
CALCULUS I
4 SEM HRS
HIGGINS

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.

Normally, students are required to have a TI-83, TI-83 Plus, 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 projects, homework, quizzes, tests, and a comprehensive final exam. The prerequisite for the course is MATH 120 or Math Placement Level 25. Mathematical-reasoning intensive.

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

MATH 202
CALCULUS II
4 SEM HRS
STICKNEY

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, elementary differential equations, approximations of definite integrals, improper integrals, applications of integrals, power series, Taylor's Series, geometric series, and convergence tests for series.

Students will be required to use the department's TI-92 Plus calculators for a rental fee of $10.00, unless they have their own TI-89/92. Students will also most likely want to have their own graphing calculator for use on those exams where they are not allowed to use a TI-89/92..

The final grade in the course is based on quizzes, tests, and a comprehensive final exam. MATH 201 is a prerequisite. Mathematical-reasoning intensive.

MATH 210
FUNDAMENTALS OF ANALYSIS
4 SEM HRS
HIGGINS

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 are based on several tests, homework assignments, and a final examination.

Prerequisite: MATH 202. WRITING INTENSIVE. Mathematical-reasoning intensive.

MATH 212
MULTIVARIABLE CALCULUS
4 SEM HRS
WHITAKER

The continuation of MATH 202 which is a prerequisite. 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-83 Plus, 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 228
UNIVARIATE PROBABILITY
4 SEM HRS
WHITAKER

Probability is the branch of math in which we study randomness and quantify uncertainty. This course introduces some of the theory and applications of probability for a single variable. Topics include combinatorics, probability axioms, discrete and continuous random variables. This material constitutes one quarter of the first actuarial exam. Anyone interested in pursuing actuarial science or statistics should certainly take this course and it would be a great elective for any math major or minor. Grades will be based on homework, exams, and quizzes.

Prerequisite: MATH 202. Mathematical-reasoning intensive.

MATH 320
NUMERICAL ANALYSIS
4 SEM HRS
NOYES

An introduction to the numerical solution of mathematical problems. Primary emphasis is upon the development of use of computational algorithms to obtain an accurate numerical solution as well as methods for establishing error estimates and bounds for this solution. These algorithms will primarily be implemented on the computer using the Mathematica7 system. Some algorithms may also be implemented in C/C++ or FORTRAN. Some work will also be done by using a scientific graphing calculator such as the TI-83 or TI-86. This course should also be of special interest to students in the physical sciences.

Grades will be based on assignments and exams. Prerequisites: MATH 202, MATH 205, COMP 150, and familiarity with the scientific graphing calculator. This course is cross?listed as COMP 320. Students may enroll in either MATH 320 or COMP 320, but not both. Mathematical-reasoning intensive.

MATH 365
ABSTRACT ALGEBRA
4 SEM HRS
STICKNEY

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, and exams.

Prerequisite: MATH 205 and MATH 210. WRITING INTENSIVE. Mathematical-reasoning intensive.