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Course Descriptions

MAT192: Introduction to Mathematical Reasoning
Goal: To learn how to analyze and solve problems encountered in various areas of mathematics, in real life, and in other areas of study.
Content: Topics covered include problem solving, patterns in mathematics, deductive and inductive reasoning, logic, analyzing arguments, set theory, the real number system, number theory, numeration systems, graphical descriptions of data, counting methods, and basic probability and statistics.
Taught: Fall, Spring
Prerequisite: None.
Gen. Ed. Category: Developing; Quantitative Reasoning Competency; (SM)

Credit: 3 hours.

MAT 200: Discrete Mathematics
Goal: To study the basic properties of some discrete mathematical structures and to initiate the rigorous study of mathematical methods of proof.
Content: Graphs and trees, elementary number theory, including counting techniques and recursion; set theory, relations, and methods of proof, including mathematical induction and limit proofs.
Taught: Fall. Alternate years.
Prerequisites: MAT 130 or equivalent.
Gen. Ed. Category: Quantitative reasoning.
Credit: 3 hours; cross-listed as CSC 200.

MAT 205: Calculus I
Goal: To study the concepts of differential calculus and to begin the study of integral calculus.
Content: Properties and graphs of algebraic and transcendental functions, limits, continuity, the derivative, and some of its applications, and the definite integral.
Taught: Fall, Spring.
Prerequisites: MAT 140 or equivalent, or two years of high school algebra, one year of high school geometry, and at least a semester of trigonometry.
Gen. Ed. Category: Quantitative reasoning.
Credit: 3 hours

MAT 206: Calculus II
Goal: To study the concepts of integral calculus.
Content: Riemann sums, the Fundamental Theorem of Calculus, techniques of integration, applications of the definite integral, and indeterminate forms.
Taught: Spring, occasionally Fall
Prerequisites: MAT 205 or equivalent.
Gen. Ed. Category: Developing; Quantitative Reasoning Competency; (SM)

Credit: 3 hours.

MAT 210: Linear Algebra
Goal: To introduce the elements of linear algebra. To apply the theory of matrices to solve appropriate problems, including systems of linear equations.
Content: Matrices, determinants, linear systems, vector spaces, bases, linear transformations, inner products, eigenvalues, eigenvectors, and diagonalization.
Taught: Spring.
Prerequisite: MAT 205.
Credit: 3 hours.

MAT 405: Mathematical Modeling
Goal: To provide an opportunity for students to make connections between mathematics and other disciplines. To enable each student to analyze and adopt a particular model and to present her results in a public forum.
Content: An introduction to mathematical modeling and computer simulation of real-world phenomena, with special attention paid to the initial formulation of the model, the computer implementation of the model, and the interpretation of the mathematical or numerical results. The topics covered will include optimization models, dynamic models, and probability models while real-world phenomena will be drawn from such disciplines as biology, economics, chemistry, physics, political science, psychology, and sociology.
Taught: Spring. Alternate years.
Prerequisites: MAT 205-208, MAT 210, MAT 300, PHY 121, or permission of the instructor.
Credit: 3 hours. This course may be taken to fulfill the requirement for the senior integrative experience in Physics.

 

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Rev. 9.14