COURSE DESCRIPTIONS
SPRING, 2006
MATH 112 The Language of Mathematics
(4 credits)
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 credits)
Kraus, William
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, communicating mathematically, and making connections within mathematics and between mathematics and other areas. Open only to students intending to major in education. Every year. Mathematical-reasoning intensive.
MATH 119 Geometry with LOGO Programming for Elementary and Middle School Teachers
(2 credits)
Kraus, William
Prerequisite: MATH 118
Study of basic concepts of plane and solid geometry, including topics from Euclidean, transformational, and projective geometry. Includes computer programming experiences using Geometer =s Sketchpad. Every year. Mathematical-reasoning intensive.
MATH 120 Elementary Functions
(4 credits)
Hodel, Sarah/Parker, Adam
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.
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.
MATH 127 Introductory Statistics
(4 credits)
Higgins, William
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 graphical and numerical 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)
Davenport, John/Hodel, Sarah
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 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 171 Discrete Mathematics
(4 credits)
Davenport, John
Prerequisite: Math Placement Level 25
This course covers a variety of topics in discrete mathematics which are important to the understanding of computer science and mathematics: logic, set theory, relations and functions, counting techniques, combinatorics, number theory, induction, recursion, 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. WRITING INTENSIVE. Mathematical-reasoning intensive.
MATH 201 Calculus I
(4 credits)
Higgins, William/Stickney, Alan
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 Asupporting 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: AEssentials 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-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.
Depending on the instructor, 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 credits)
Parker, Adam/Stickney, Alan
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, elementary differential equations, approximations of definite integrals, improper integrals, applications of integrals, power series, Taylor =s 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.
Depending on the instructor, the final grade in the course could be based on homework, quizzes, tests, and a comprehensive final exam. Mathematical-reasoning intensive.
MATH 210 Fundamentals of Analysis
(4 credits)
Parker, Adam
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 credits)
Davenport, John
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 260 Computational Models and Methods
(5 credits)
Noyes, James
Prerequisites:(1)
MATH 131 or MATH 201 (2) COMP 150 or equivalent experience as determined by
the instructor
Computational science is the field of study that integrates science,
computer science, and applied mathematics. This course is an introduction
to the principles and approaches of computational science. This includes the
understanding, development, and use of mathematical models as well as their
effective computer implementation using computer languages such as Mathematica
®. This course is specifically designed to be accessible to a wide
range of students, especially those with an interest in applications of biology,
chemistry, geology, physics, or economics. A spectrum of problems taken from
these areas will be addressed. Topics include: Using Mathematica ®, The
Scientific Process, The Experimental Method, Types of Science Models (for Evaluation,
Simulation, and Optimization), Sources of Errors, Dimensional Analysis, Model
Sensitivity, Solving Equations, Computer Arithmetic vs. Exact Arithmetic, Limits
of Computation, Data Fitting, Visualization Methods, and Ethical Issues. Each
student will undertake a realistic modeling project in one of the sciences.
A weekly two hour, ten minute computer laboratory is required. The student will
be expected to be familiar with the use of a scientific graphing calculator.
This course is cross-listed as MATH 260. Students may enroll in either COMP
260 or MATH 260, but not both. Mathematical-reasoning intensive.
MATH 365 Abstract Algebra
(4 credits)
Higgins, William
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, and exams.
WRITING INTENSIVE. Mathematical-reasoning intensive.
MATH 380 Introduction to Number Theory with Applications
(4 credits)
Stickney, Alan
Prerequisite: MATH 210 or permission of instructor
This course will focus on the study of the integers and their properties. Topics covered will include divisibility, the Euclidean algorithm, prime numbers, perfect numbers, congruences, and arithmetic modulo n. Applications will include topics from cryptography and the solution of integer equations.
Students will be expected to learn definitions and write proofs in addition to learning some of the computational aspects of number theory.
The final grade in the course will be based on homework, quizzes, tests, and a comprehensive final exam. Mathematical-reasoning intensive.
