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Course Criteria
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4.00 Credits
This course is a continuation of MT 210. While the first semester focuses on differential calculus, this course will focus on integral calculus. Students will extend their experience with functions, limits, Riemann sums, the definite integral, antiderivatives, and the Fundamental Theorem of Calculus. This course will include an introduction to sequences and series. Prerequisite: MT 210.
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4.00 Credits
A study of the vector approach to analytic geometry and calculus, multivariable calculus, partial derivatives and multiple integrals, infinite series. Prerequisite: MT 211.
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1.00 - 4.00 Credits
A study of a particular topic in the field. This course may be taken more than once but no more than a total of four credits apply toward the major. Prerequisite: MT 210, department approval.
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5.00 Credits
This course will offer students who have had some calculus an intense, fast-paced, one-semester course covering the material in MT 210-211 Calculus I and II. This course is appropriate for students who have taken an Advanced Placement calculus course in high school, and do not place into MT 212 Calculus III. This would also be a good course for post-baccalaureate certification students who need a review of calculus in preparation for secondary certification. This course will cover limits, difference quotients, a conceptual development and definition of derivative, Riemann sums, a conceptual development and definition of the definite integral, antiderivatives, the Fundamental Theorem of Calculus, and an introduction to sequences and series. This is an ambitious course; the intention is to cover the material of two four-credit courses in one semester. The student will be challenged to grow in mathematical maturity, and to develop and strengthen problem-solving skills while reading, writing, and thinking in the language of mathematics. This course will use a constructivist approach as students work in a computer laboratory. Prerequisite: Strong background in algebra, some familiarity with trigonometry, a previous course in calculus (e.g., AP calculus), ASSET placement and departmental approval.
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3.00 Credits
Today's computers, no matter how large, have a finite amount of storage and, as such, are best described by discrete mathematical structures. Many techniques used in computing have roots in these structures. This course deals with a variety of discrete structures and their uses. Topics include integer operations, sets, partially ordered sets, functions, relations, graphs, Boolean algebra, logic and predicate calculus. Also listed under CS 315. Prerequisite: MT 209 or department approval.
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3.00 Credits
This one-semester course will focus on the history and development of non-Euclidean geometries. A primary objective of this course is to assist students in developing their logical mathematical reasoning. Students will learn how to read and write good mathematical proofs. A secondary though still very important objective is to introduce the student to the problems raised by Euclid's geometry, the ways that mathematicians have grappled with these problems over the centuries and the resolution of some of these problems through the discovery of non-Euclidean geometries. Prerequisite: MT 209 or department approval.
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3.00 Credits
This course offers a variety of geometrical topics which may include taxicab geometry, conic sections, four-dimensional space, trigonometry in the unit circle, the geometry of the sphere, and geometric patterns in art. The subjects will be determined by the instructor and the needs of the students. Prerequisite: Department approval.
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3.00 Credits
This course offers the student a concrete introduction to linear algebra, including vector spaces in two-, three-, and highdimensions, bases of vector spaces, characteristic vectors and Eigen values, linear transformations, matrices, determinants, and the solution of systems of linear equations. This is the first semester in a two-semester sequence; the second course, MT 425 Abstract Algebra, will build on the content of this first course to develop the concept of an algebra space. Prerequisite: MT 210, MT211 or equivalent, MT 315 or MT 320.
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3.00 Credits
This course has been developed specifically for future mathematics teachers who must follow Department of Public Instruction requirements for including statistics in the curriculum. The course will cover material usually presented in an applied statistics course, putting emphasis on the inferences and predictions that can be made after the computations are done. Exploratory data analysis which fosters the ability to reason statistically will be emphasized rather than formula derivations. Practical ways to implement statistics into the curriculum will be addressed using manipulatives, computer simulations and relevant computer software. Prerequisite: MT 209.
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2.00 Credits
Independent study of the particular subject under the direction of a faculty member. Independent study can be terminated at the discretion of the faculty member if the student does not progress at a rate which meets minimum expectations. Prerequisite: B (3.0) average in Mathematics courses, Junior or Senior standing, consent of the Department Head and the cooperating faculty member prior to registration for the course.
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