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Mathematics - Spring 2017

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 2 or 3) constitutes a passing grade in MATH 090. 

MATH 112
The Language of Mathematics

4 credits
Parker, Adam
Prerequisite: None
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: Minimum Math Placement Level 22, 12 or 2 recommended
Study of number systems, number theory, operations and algebraic thinking with a special emphasis on the processes of mathematics; problem-solving, reasoning, communicating mathematically, and making connections with mathematical ideas, real world situations, and children’s mathematical thinking. Open only to students intending to major in education.

MATH 119
Geometry with Computer Applications for Elementary & Middle School Teachers

2 credits
Staff
Prerequisite: MATH 118
Study of basic concepts of plane and solid geometry, including topics from Euclidean, transformational, and projective geometry and from topology. Includes computer programming experiences using Logo with a special emphasis on geometry and problem-solving.

MATH 120
Elementary Functions

4 credits
Ben-Azzouz, Moez
Prerequisite: Math Placement Level 24, 14 or 3 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
Lewis, Obed; Andrews, Doug; Armstrong, Alyssa
Prerequisites: Math Placement Level 22, 23, 12, 13, 2 or higher recommended
An applied study of statistics as the science of using data to get insight into real-world problems. Principles and methods for producing data, including sampling and experimental design.  Principles and methods for numerically and visually describing and summarizing data. Formal inference about the processes that underlie the data, especially significance tests to check for evidence of effects, and confidence intervals for estimating the size of effects. 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, PSYC 201, BUSN 110 or BUSN 210. Mathematical-reasoning intensive.

MATH 131
Essentials of Calculus
4 credits
Armstrong, Alyssa
Prerequisite:  MATH 120 or Math Placement Level 25 or 4
This is a one-semester calculus course aimed at students who need calculus, but are unable to complete the more detailed two-sequence course (MATH 201 and 202). Emphasis is on concepts and applications of calculus, covering both differentiation and integration. Algebra review, functions, graphs, limits, derivatives, integrals, logarithmic and exponential functions, functions of several variables, applications in management, applications in biological and social sciences.

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
Higgins, William
Prerequisite:  MATH 120 or Math Placement Level 25, 15 or 4
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.

Students are encouraged 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 will be based on homework, quizzes, tests, and a comprehensive final exam. 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 encouraged 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 227
Data Analysis

4 credits
Andrews, Douglas
Prerequisite: MATH 131 or MATH 201
This introductory statistics course is designed not only for students majoring or minoring in math, but for any student who would benefit from a more substantial introduction to the field - especially prospective teachers of mathematics or statistics, as well as students considering careers as statisticians or actuaries. Students will learn general principles and techniques for summarizing and organizing data effectively, and will explore the connections between how the data was collected and the scope of conclusions that can be drawn from the data.  Also emphasized are the logic and techniques of formal statistical inference, with greater focus on the mathematical underpinnings of these basic statistical procedures than is found in other introductory statistics courses. Software for probability and data analysis is used daily.

Note: A student may not receive credit for more than one of the following: MATH 127, MATH 227, PSYC 107, PSYCH 201, BUSN 210 or BUSN 110. Mathematical-reasoning intensive.

MATH 261
Linear Algebra

4 credits
Armstrong, Alyssa
Prerequisite: MATH 201
This course is an introduction to matrix theory and linear algebra. Topics of study include systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, vector spaces, linear transformations, and orthogonality. Emphasis is placed on methods, calculations, and applications that can be useful in other disciplines. Mathematical-reasoning intensive.

MATH 327
Statistical Modeling

4 credits
Andrews, Douglas

Prerequisite:  MATH 127 or MATH 227 or PSYC 107 or BUSN 110 or PSYC 201 or BUSN 210
In this second course in statistics, concepts and methods from introductory statistics – especially regression and analysis of variance – are reviewed and then extended. The focus will be on principles and techniques for modeling real-world phenomena, using any combination of predictor variables. Students will learn strategies for selecting and constructing models, criteria for assessing and comparing models, and tools for making formal inferences using these models. Class sessions include discussion of conceptual issues with practice in data analysis, and they put strong emphasis on interpreting and communicating the results of analyses. Students carry out projects in which they design studies, collect and analyze data, and present their findings. WRITING INTENSIVE. Mathematical-reasoning intensive.

MATH 365
Abstract Algebra

4 credits
Parker, Adam
Prerequisite: MATH 205 or 261, 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.

 

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