MATH 112 THE LANGUAGE OF MATHEMATICS 4 SEM HRS WHITAKER
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 a comprehensive final. Mathematical-reasoning intensive.
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.
MATH 118 MATHEMATICS FOR ELEMENTARY 4 SEM HRS KRAUS AND MIDDLE SCHOOL TEACHERS
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.
Prerequisite: Math Placement Level 22 or higher
MATH 119 GEOMETRY WITH LOGO PROGRAMMING 2 SEM HRS KRAUS
FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS
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. Every year. Mathematical-reasoning intensive.
Prerequisites: MATH 118
MATH 120 ELEMENTARY FUNCTIONS 4 SEM HRS SHELBURNE/WHITAKER/STAFF
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. Mathematical-reasoning intensive.
Prerequisite for this course is Math Placement Level 24 or higher
MATH 127 INTRODUCTORY STATISTICS 4 SEM HRS ANDREWS
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. Mathematical-reasoning intensive.
Prerequisites: Math Placement Level 23 or higher (Note: A student may receive credit for only one of the following statistics courses: MATH 127, MATH 227, PSYC 107, or MGT 210)
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 but 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. 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.
Prerequisite is MATH 120 or Math Placement Level 25
MATH 202 CALCULUS II 4 SEM HRS WHITAKER
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 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.
Prerequisite: MATH 201
MATH 205 APPLIED MATRIX ALGEBRA 4 SEM HRS HIGGINS
A course in matrix algebra and discrete mathematical modeling which considers the formulation of mathematical models, together with analysis of the models and interpretation of the results. Primary emphasis is on those modeling techniques which utilize matrix methods. Such methods are now in wide use in areas such as economic input/output models, population growth models, Markov chains, linear programming, computer graphics, regression, numerical approximation, and linear codes. Students in this course are required to have a TI-83, TI-83 Plus, or TI-86 graphing calculator for use in class, for homework, and on tests. A TI-89, TI-92, or TI-92 Plus is also acceptable. This course is a prerequisite for MATH 360 (Linear Algebra), and should be taken by all sophomore mathematics majors. Mathematical-reasoning intensive.
Prerequisite: MATH 201
MATH 215 DIFFERENTIAL EQUATIONS 4 SEM HRS WHITAKER
An introduction to elementary ordinary differential equations. Topics covered will include first-order equations, linear equations, nonhomogeneous equations, variation of parameters, linear systems, power series solutions, numerical methods and applications.
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.
The final grade in this course is based on quizzes, tests, and a comprehensive final exam. Mathematical-reasoning intensive.
Prerequisite: MATH 202
MATH 227 DATA ANALYSIS 4 SEM HRS ANDREWS
This introductory statistics course is designed not just for students majoring or minoring in math, but for any student who would benefit from a more substantial introduction to the field. In fact, about half of the students who have taken this class are not math majors. Students must learn general principles and techniques for summarizing and organizing data effectively, for designing observational studies and experiments, and for drawing specific inferences from such studies. Data analysis software is used daily. In addition to regular homework and periodic tests and quizzes, students are expected to collaborate on several data analysis projects, culminating in a modeling portfolio at the end of the semester. Mathematical-reasoning intensive.
Prerequisite: Math Placement Level 25 (Note: A student may not receive credit for more than one of the following: MATH 127, MATH 227, PSYC 107, or MGT 210)
MATH 360 LINEAR ALGEBRA 4 SEM HRS STICKNEY
Introduction to abstract vector spaces. Topics include Euclidean spaces, function spaces, linear systems, linear independence and basis, linear transformations and their matrices. Students are required to have a TI-83, TI-83 Plus, or TI-86 graphing calculator for use in class, for homework, and on tests. A TI-89 or TI-92 is also acceptable. The final grade in the course is based on written assignments, quizzes, tests, and a comprehensive final exam. Mathematical-reasoning intensive.
Prerequisites: MATH 205 and MATH 210
MATH 370 REAL ANALYSIS 4 SEM HRS HIGGINS
Through a rigorous approach to the usual topics of one-dimensional calculus - limits, continuity, differentiation, integration, and infinite series - this course offers a deeper understanding of the ideas encountered in calculus. The course has two important goals for its students: the development of an accurate intuitive feeling for analysis and of skill at proving theorems in this area.
The final grade in this course is based upon written assignments, tests, and a comprehensive final exam.
This course is intended only for junior and senior mathematics majors or minors. Others will be enrolled only with the permission of the instructor. Mathematical-reasoning intensive.
Prerequisite: MATH 210
MATH 380 TOPIC: OPTIMIZATION TECHNIQUES 5 SEM HRS NOYES
This topics course examines different methods of solving optimization problems. An optimization problem is a problem where one wishes to find the best solution. It typically involves maximizing or minimizing a function of one of more variables, possibly subject to some constraints on the variables. Typically these methods involve Linear Programming, Nonlinear Programming, and Unconstrained Minimization Techniques. The application models that will be solved by these methods will come from the sciences, engineering, economics, and business (operations research). This course will focus on the derivation and use of these techniques, their computer implementation, efficiency, and application to practical problems. The computer implementation will typically be done using Mathematica(R). However, C++ or FORTRAN will also be used. This course will be given for mathematics credit (MATH 380) or computer science credit (COMP 380) and should be of special interest to students in the sciences. Students are required to have a TI-83, TI-83 Plus, or TI-86 graphing calculator for use in this class. Mathematical-reasoning intensive. Grades will be based upon assignments and exams.
Prerequisites are COMP 150 and MATH 201 or permission by the instructor. MATH 205 is a co-requisite.
MATH 460 SENIOR SEMINAR 2 SEM HRS SHELBURNE
This is a capstone course for mathematics majors. Its purpose is to let participants think about and reflect on what mathematics is and to tie together their years of studying mathematics at Wittenberg. The structure of the course will be taken from the book Journey Through Genius by W. Dunham which covers the story of mathematics from the 5th century B.C.E. up to the 20th century C.E. by looking at some of the famous problems, theorems, and colorful mathematical characters who worked on them. The course is a seminar where participants are expected to research areas of interest in mathematics and present their findings to the rest of the seminar. The grade will be based on class discussions and presentations. Mathematical-reasoning intensive.