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Course Criteria
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3.00 Credits
An extension of differentiation and integration from univariate functions to multivariate functions. Specific topics include partial derivatives, multivariate chain rule, implicit function differentiation, multiple integration, and line integrals. Prerequisite: MATH 1505. Fall.
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3.00 Credits
Covers topics of elementary mathematics to meet the needs of students preparing to teach in the elementary school. Topics include sets, logic, systems of numeration, whole numbers, integers, rational numbers, real numbers, and informal geometry. Prerequisite: MATH 1103 or equivalent. Fall and Spring.
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3.00 Credits
The primary goal of this general education course is to develop the ability to solve problems through inquiry and exploration, logical reasoning, and making and testing conjectures. It includes a study of concepts, methods, and applications of quantitative reasoning including basic descriptive and inferential statistics. The course emphasizes active problem solving and developing connections with other disciplines. (Not counted for a math major, math minor or math education major.) Prerequisite: MATH 1103 or approval by Math Department evaluation.
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3.00 Credits
A survey of fundamental topics in discrete mathematics. Topics include set theory, functions, elementary propositional and predicate logic, proof techniques (including induction and indirect proof techniques), Boolean Algebra, elementary graph theory, and matrices. Prerequisite: MATH 1405 or approval by Math Department evaluation. (cf. COMP 3003) Spring.
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3.00 Credits
A study of vector spaces and linear transformations between vector spaces. Problems are approached first abstractly and then concretely through matrix representations. Includes discussion of Hermite Normal Forms, projection operators, right-inverses and eigenvalue problems. Prerequisite: MATH 1505. Spring.
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3.00 Credits
The axioms and selected theorems of Euclidean Geometry are compared to corresponding axioms and theorems from non-Euclidean Geometry. Designed as a foundation for teaching high school geometry and to acquaint the student generally with techniques of writing proofs in any area of mathematics. Prerequisite: MATH 1405 and MATH 3003. Fall, even years
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3.00 Credits
A study of the history of mathematics from the development of early number systems to the mid-twentieth century. The historical development of calculus is included. Prerequisite: MATH 1405. Fall, even years.
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3.00 Credits
The general first order ordinary differential equation is discussed in the cartesian plane. Emphasis is placed on nth order linear differential equations with constant coefficients and their applications. Prerequisite: MATH 2003. Previous or concurrent enrollment in MATH 3103 recommended. Spring, even years.
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3.00 Credits
A course in elementary probability theory designed with a core which is common to the interests of students concentrating in biology, business, psychology, education, and sociology. Includes measures of central tendency, standard deviation, sampling theory, and correlation theory. Special problem sets and a term project allow for a particular emphasis in an area of application. This course is also suitable for prospective secondary mathematics teachers. It is not intended for students majoring in mathematics. Such students should take MATH 3703. Prerequisite: MATH 1103 or approval by Math Department evaluation. (cf. PSYC 3503)
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2.00 Credits
A study of strategies and methods for teaching mathematics in middle and secondary schools. Concurrent enrollment in EDUC 3610 and EDUC 3614 is required. Spring.
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