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Course Criteria
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3.00 Credits
Emphasis given to calculus, including differentiation and integration of algebraic forms, areas, applications of the derivative, differentials, Rolle's theorem, the mean value theorem, and the fundamental theorem of calculus. Prerequisite: MAT 107 or placement by examination. Students may purchase a graphing calculator. 4 credits. Every semester; day.
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3.00 Credits
Applications of integration, logarithmic, exponential, inverse, hyperbolic, and trigonometric functions. Methods of integration, including integration by parts, trigonometric substitutions, conic sections, rotation of axes and the general second degree equation, polar coordinates, improper integrals, L' H ?ital? ? rules, sequenceand infinite series. Prerequisite: MAT 202. 4 credits. Every semester; day.
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3.00 Credits
Organization, description, and interpretation of data. Probability and probability distributions. Sampling distributions and estimation of population parameters. Testing hypotheses, linear regression, correlation analysis, and index numbers. Prerequisite: Placement by examination or MAT 104 or higher. 3 credits. Every semester; day and evening.
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3.00 Credits
Vectors and vector functions. Functions of several variables. Partial derivatives and differentiation. Chain rule, Maxima, minima, Lagrange's multipliers. Double and triple integrals, cylindrical and spherical coordinates and change of variable, applications. Prerequisite MAT 203. 4 credits. Every semester.
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3.00 Credits
A treatment of the basic notions of calculus using computer mathematical software programs, for example "Derive 6". Thecourse covers problems involving limits, derivatives, graphs, approximate solutions of equations and approximations of series and integrals. Lab fee. Prerequisite MAT 202. 3 credits. Spring semester.
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3.00 Credits
Topics of higher Euclidean geometry and geometric constructions. Geometrical transformations and different kinds of geometries. Projective and hyperbolic geometries. Prerequisite: MAT 107. 3 credits. Offered as needed; day.
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3.00 Credits
The algebra and calculus of vectors, scalar and vector product, coordinate systems, space geometry, vector differential operators, divergence and curl of vector fields, curvilinear coordinates, line and surface integrals. Green's theorem, Stokes' theorem, anddivergence theorem. Prerequisite: MAT 304. 3 credits. Offered as needed; day.
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3.00 Credits
The algebra of propositions and quantifiers; sets, relations, functions, equivalence relations, partial and total orders, and product sets; Cantor hypothesis, cardinal and ordinal numbers, and wellordered sets; Axiom of Choice, Zorn's dilemma, and well ordering axiom. Prerequisite: MAT 203. 3 credits. Offered as needed; day.
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3.00 Credits
Systems of linear equations, vector spaces, linear independence basis, and dimension; matrices and determinants, rank, and nullity; eigenvalues and eigenvectors; diagonalizable matrices; linear transformations; and matrices. Prerequisite: MAT 203. 4 credits. Fall semester; day.
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3.00 Credits
Methods of solving ordinary differential equations with applications. Linear differential equations of first-, second-, and higherorder applications. Systems of linear differential equations. Prerequisite: MAT 203. 3 credits. Fall semester; day.
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