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Course Criteria
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3.00 Credits
This course provides an introduction to the foundations of mathematics. Topics include: logic and sets, construction of, representation of, estimation of, algebraic, geometric, ordering and metric structures on natural numbers and whole numbers. This course is open to all students but designed primarily for future teachers.
Prerequisite:
FNMT 017 or FNMT 019 completed or FNMT 118 (or higher) placement)
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3.00 Credits
This course is a continuation of Elementary Mathematics I. Topics include: construction of, representation of, algebraic, geometric, ordering and metric structures on rational and real numbers, approximation and estimation, elementary combinatorics, probability and statistics, notions of size, mensuration, geometric structures and symmetry.
Prerequisite:
MATH 123 (Grade of C or Better)
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3.00 Credits
Introduction to two- and three-dimensional geometry for students in visual design curricula. Traditional and computer based geometrical construction; inductive and deductive reasoning; properties of triangles, polygons and circles; transformations and tessellations; area; the Pythagorean theorem; volume; similarity and the golden mean.
Prerequisite:
FNMT 017 or FNMT 019 completed or placement in FNMT 118 or higher
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3.00 Credits
Introduction to statistical thinking. Visual presentation of data, summarizing of data, probability, sampling and simulation. Evaluation of inferences drawn from a variety of statistical material and generation of reports summarizing and communicating statistical results. Students whose curriculum requires ECON 112/114 may not substitute MATH 150.
Prerequisite:
FNMT 017 or FNMT 019 completed or placement in FNMT 118 or higher
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3.00 Credits
Cartesian coordinates, linear equations in two variables, graphing lines, systems of linear equations and inequalities, Gauss-Jordan elimination, matrices, matrix addition and multiplication, matrix inversion, geometric solution of linear programming problems, the Simplex method, duality.
Prerequisite:
FNMT 118 (Grade of C or Better) or MATH 161
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3.00 Credits
Functions and relations and their graphs, transformations and symmetries; composition of functions; one-to-one functions and their inverses; polynomial functions; complex numbers; rational functions; conic sections.
Prerequisite:
FNMT 118 (Grade of C or Better)
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3.00 Credits
Exponential and logarithmic functions, trigonometric functions, identities, inverse trigonometric functions, law of sines, law of cosines, trigonometric form of complex numbers, plane, complex numbers, parametric representations, translation and rotation of axes.
Prerequisite:
MATH 161 (Grade of C or Better)
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4.00 Credits
The study of discrete structures. Discussion centers on the following: set theory; functions and relations; counting and discrete probability; introduction to graphs and trees; elements of logic; introduction to proofs, proofs by induc- tion, direct proofs and reductio ad absurdum; recursive equations; Boolean algebra and logic circuits; and applica- tions in computer science. Number theory may also be discussed.
Prerequisite:
MATH 161 (Grade of C or Better) or MATH 162
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4.00 Credits
Integrated precalculus and differential calculus of polynomial, rational and algebraic functions. Graphs, local and global behavior; techniques of differentiation - product rule, quotient rule, chain rule. Introduction to the integral.
Prerequisite:
MATH 118 (Grade of C or Better) or MATH 161
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4.00 Credits
Functions, graphs, limits, continuity, derivatives and antiderivatives of algebraic and transcendental functions; techniques of differentiation; applications of derivatives, polynomial approximation; indeterminate forms, maxima and minima and applications; curve sketching; the definite integral, the fundamental theorem of calculus, integration by substitution.
Prerequisite:
MATH 162 (Grade of C or Better)
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