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MAT 202: Calculus I
3.00 Credits
St. Francis College
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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MAT 202 - Calculus I
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MAT 203: Calculus II
3.00 Credits
St. Francis College
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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MAT 203 - Calculus II
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MAT 301: Statistics
3.00 Credits
St. Francis College
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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MAT 301 - Statistics
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MAT 304: Calculus III
3.00 Credits
St. Francis College
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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MAT 304 - Calculus III
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MAT 305: Calculus Workshop using Technology
3.00 Credits
St. Francis College
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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MAT 305 - Calculus Workshop using Technology
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MAT 309: College Geometry
3.00 Credits
St. Francis College
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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MAT 309 - College Geometry
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MAT 310: Vector Analysis
3.00 Credits
St. Francis College
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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MAT 310 - Vector Analysis
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MAT 311: Introduction to Set Theory
3.00 Credits
St. Francis College
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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MAT 311 - Introduction to Set Theory
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MAT 312: Linear Algebra
3.00 Credits
St. Francis College
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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MAT 312 - Linear Algebra
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MAT 401: Differential Equations I
3.00 Credits
St. Francis College
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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MAT 401 - Differential Equations I
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