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Course Criteria
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4.00 Credits
Prerequisite: MAT 096 or an SAT math score at least 650 See http://mathstat.pages.tcnj.edu/courses-2/calculus-requirement for details. This course provides students with a solid grounding in the main aspects of calculus. The course is designed for students in the Social Sciences and the School of Business. Topics include the major aspects of differential and integral calculus, some multivariable calculus, and the uses to which these are put. It differs from MAT 127 (the calculus course for science, mathematics and engineering majors) in that there is less focus on theory, more focus on business applications, and a narrower range of topics. In particular, MAT 125 does not cover trigonometric, inverse trigonometric or hyperbolic trigonometric functions, which are covered in MAT 127, and MAT 127 does not necessarily cover topics such as marginal cost/profit or continuous interest which are covered in MAT 125.
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4.00 Credits
Prerequisite: MAT 096 or an SAT math score at least 650. See http://mathstat.pages.tcnj.edu/courses-2/calculus-requirement for details. Provides students with a solid grounding in single-variable calculus. The course is designed for students in the mathematical and physical sciences. Topics include functions and limits, derivatives and differentiation rules, applications of derivatives, and an introduction to integrals and their applications.
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4.00 Credits
Prerequisite: MAT 127, or 125 (with permission of the department chair) A second course in calculus covering integral calculus and series. The course will cover both the theoretical and applied aspects of calculus.
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4.00 Credits
An introduction to the foundations of modern mathematics for non-science majors. Students will develop a deep understanding of the changing perspectives of mathematics and master a number of ancient techniques and forms of reasoning. The course will present the historical context of the mathematics and how it contributed to the development of western thought.
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4.00 Credits
(occasionally)
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4.00 Credits
Prerequisite: MAT 096 The course will cover the following specific topics: mathematical notation, logic, truth tables, direct proofs, indirect proofs, proof by contradiction, proof by cases, mathematical induction (weak and strong), contrapositive proofs, definitions and properties of functions and relations, cardinality, proofs of one-to-one and onto properties, proofs of set equality, and a brief introduction to graph theory. In addition to teaching logic, functions, and relations, instructors will teach proof with examples taken from three to four areas of discrete mathematics including set theory, number theory, sequences and recursion, and a fourth area at the discretion of the instructor. However, the main goal of the course is student mastery of proof techniques and not an exhaustive coverage of topics from discrete mathematics.
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4.00 Credits
Prerequisite: MAT 128 or MAT 200 or CSC 270 An introduction to vector spaces and systems of linear equations essential for the understanding of both pure and applied mathematics. Selected topics include: systems of linear equations, matrices, linear transformations, linear independence, determinants, vector spaces, eigenvalues and eigenvectors, and orthogonality. This course includes a lab component using MatLab.
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4.00 Credits
Prerequisite: MAT 128 Topics include: geometry of three dimensional space, derivatives of functions of several variables, integrals in dimension two and three, and Stokes' theorem.
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4.00 Credits
Prerequisite: Reserved for math education students The course develops a skeletal outline of the history of mathematics. Additional topics may include the history of a specific area of mathematics. Samples of topics that may be covered in the course are: ancient mathematics, the relation between Greek and Mesopotamian algebra, the growth of trigonometric ideas, the geometric solution of the cubic equations by Omar Khayyam and the algebraic solutions by Cardano, Zeno's paradox and the development of different number systems.
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4.00 Credits
Special topics in mathematics that will vary by semester.
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