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)
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)
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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