# Mathematics- Spring 2014

**MATH 090 - Introductory Algebra and Probability Using ALEKS****0 credits****Lewis, Obed**

**Prerequisite: Enrollment requires approval of the Director of the Math Workshop. **

A graded, non-credit course moving from elementary algebra through more complex concepts, with the objective of producing readiness for college-level work in mathematics and math-related courses. Topics include real numbers, simple operations on polynomials, solving and graphing linear equations, algebraic fractions, fractional equations, and exponential and logarithmic functions, as well as other more advanced topics which will prepare students for statistics or pre-calculus if desired. This course is taught using a web-based, artificially intelligent assessment and learning system called ALEKS which individualizes the curriculum to the students’ needs. A grade of 80% or higher in the respective ALEKS course (Math Placement Level 22, 23 or 24) constitutes a passing grade in MATH 090. This course only serves to help students raise the second digit of their math placement score.

**MATH 112 - The Language of Mathematics****(4 credits)****Barhorst, Garry and Sancier-Barbosa, Flavia**

**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****Lewis, Obed**** ****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 w/Computer Applications for Elementary & Middle School Teachers****2 credits****Abraham, Cynthia**

**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 credits****Ben-Azzouz, Moez and 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****Andrews, Doug**

**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 BUSN 110. Mathematical-reasoning intensive.

**MATH 131 - Essentials of Calculus****4 credits****Shelburne, Brian**

**Prerequisite: MATH 120 or Math Placement Level 25 **

This is a one semester calculus course covering both differentiation and integration aimed at students who need a calculus course but are unable to fit Wittenberg’s standard two semester calculus sequence, Math 201-202, into their schedule. It is generally expected that if students takes the 1st course in the standard two semester calculus sequence, Math 201, they will go on and take the 2nd course, Math 202, to complete their study of calculus. Otherwise students who need calculus are advised to take Math 131.

The difference between Math 131 and the Math 201-202 sequence is that the latter is able to cover calculus in much greater depth. For example, with respect to integration, while Math 131 does cover u-substitution integration and integration by parts, it does not cover integration techniques and applications to the same depth. Also Math 131 does not cover the differentiation and integration of trigonometric functions and it does not cover sequences and series.

Students are required to have a TI-84 graphing calculator for use in class and for homework assignments. The final grade in the course will be based on homework, quizzes, tests, and a comprehensive final exam.

Note: Math 131 does not satisfy the prerequisite for Math 202. Students may not receive credit for both Math 131 and Math 201. Mathematical reasoning Intensive

**MATH 201 - Calculus I****4 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 in mathematics, physics, or chemistry, or minoring in mathematics. 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”. Students majoring in computer science must take either Math 131 or Math 201/202. 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 credits****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 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)****Higgins, William**

**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 320 - Numerical Analysis****(4 credits)****Sancier-Barbosa, Flavia**

**Prerequisites: MATH 202, MATH 205, and COMP 150**

An introduction to the numerical solution of mathematical problems. Primary emphasis is upon the development and use of computational algorithms to obtain accurate numerical solutions, and on methods for establishing error bounds for these solutions. Algorithms will be implemented on computers and/or programmable scientific calculators. This course should be of special interest to students in the Applied Mathematics track and to other students in the physical sciences.

Grades will be based on assignments, quizzes, and exams. 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 337 - Statistical Design****(4 credits)****Andrews, Douglas**

**Prerequisite: MATH 227**

Whereas the introductory statistics sequence focuses primarily on exploratory and formal analysis of data that have already been observed, this course focuses primarily on how to design the comparative observational and experimental studies in which data is collected for formal analysis. Students will learn: 1) to choose sound and suitable design structures, 2) to recognize the structure of any balanced design built from crossing and nesting, 3) to assess how well standard analysis assumptions fit the given data and to choose a suitable remedy or alternative when appropriate, 4) to decompose any balanced dataset into components corresponding to the factors of a design, 5) to construct appropriate interval estimates and significance tests from such data, and 6) to interpret patterns and formal inferences in relation to the relevant applied context. Students are required to collaborate on projects in which they design studies, collect and analyze data, and present their findings orally and in writing. Prerequisites: Any introductory statistics class: MATH 127, MATH 227, PSYC 107, or BUSN 110. Mathematical-reasoning intensive.

**MATH 365 - Abstract Algebra****(4 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.