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MATH 225: Techniques of Calculus I
3.00 Credits
Keystone College
Investigates inequalities, limit theorems, continuity, derivatives of rational functions, chain rule, related rates, relative and absolute extrema, graphical and verbal applications, the fundamental theorems of calculus, area between curves, and the central conics. Prerequisites: four years of high school mathematics including Algebra II and Trigonometry, MATH 113 with a grade of “C” or better, or consent of the instructor . Fall,Spring and Summer, 4 hours lecture and discussion, 4 credits.
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MATH 230: Calculus II
3.00 Credits
Keystone College
Investigates differentiation, anti-differentiation, definite and indefinite integrals, parametric equations, arc length, polar coordinates, infinite series, Taylor series, techniques of integration of various functions: inverse, logarithmic, exponential, trigonometric, and hyperbolic. Prerequisites: MATH 225 with a grade of "C" or better, or consent of the instructor . Fall and Spring, 4 hours lecture and discussion, 4 credits.
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MATH 230 - Calculus II
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MATH 305: Communications in Mathematics
3.00 Credits
Keystone College
Introduces the student to the use of verbal language to communicate their thoughts, extend their thinking, and understand mathematical concepts. Written language will also be used to explain, reason, and process thinking. Open to Math Ed majors, math minors, and those needing a free elective. 3 hours lecture and discussion, 3 credits.
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MATH 305 - Communications in Mathematics
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MATH 310: Discrete Mathematics
3.00 Credits
Keystone College
Introduces some basic concepts of finite algebraic structures. Topics include logic, sets, induction, relations, functions, recursion, and an introduction to graphs. Prerequisite: MATH 113 or consent of the instructor. Fall, 3 hours lecture and discussion, 3 credits.
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MATH 310 - Discrete Mathematics
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MATH 314: Statistics and Research
3.00 Credits
Keystone College
Investigates the importance of research, variables and measurement, samples, normal distributions, and hypothesis testing. Emphasizes computers using SPSS to help organize, analyze, interpret, and present data. Prerequisite: MATH 205 with a grade of "C" or better, or consent of instructor. Fall, Spring and Summer, $65 fee, 3 hours lecture, discussion, and laboratory work, 3 credits.
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MATH 314 - Statistics and Research
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MATH 315: Modern Geometry
3.00 Credits
Keystone College
Involves activities and discussions in inductive and deductive reasoning in euclidean geometry, classical geometry with constructions, non-euclidean geometries, three-dimensional geometry, and spatial reasoning. Prerequisite: MATH 225 or consent of the instructor. Spring, $65 fee, 3 hour lecture, discussion, and laboratory work, 3 credits.
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MATH 315 - Modern Geometry
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MATH 320: Linear Algebra
3.00 Credits
Keystone College
Investigates vector spaces, applications to line and plane geometry, linear equations and matrices, similar matrices, linear transformations, eigenvalues, determinants and quadratic forms. Prerequisite: MATH 225 or consent of the instructor. Spring, 3 hour lecture and discussion, 3 credits.
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MATH 320 - Linear Algebra
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MATH 325: Abstract Algebra
3.00 Credits
Keystone College
Introduces students to basic algebraic structures, including groups, rings, and fields. Prerequisite: MATH 225 and MATH 310 or consent of the instructor. Fall, 3 hour lecture and discussion, 3 credits.
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MATH 325 - Abstract Algebra
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MATH 330: Calculus III
3.00 Credits
Keystone College
Extends the basic concepts of differential and integral calculus from one dimension to two and three dimensions. Topics include: vector calculus, functions of several real variables, partial differentiation, implicit functions, multiple integrals, line and surface integrals, and applications. Prerequisite: MATH 230 with a "C" or higher, or consent of the instructor . Fall and Spring, 4 hour lecture and discussion, 4 credits.
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MATH 335: Differential Equations
3.00 Credits
Keystone College
Investigates first- and second-order equations; special functions; Laplace transform solutions; higher order equations; Fourier series; partial differential equations. Prerequisite: MATH 230 with a "C" or higher, or consent of the instructor . Fall and Spring, 3 hour lecture and discussion, 3 credits.
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MATH 335 - Differential Equations
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