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Course Criteria
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4.00 Credits
Concept of limit; derivatives of algebraic functions; curve plotting, related rates, maxima and minima; Rolle's theorem; Mean Value theorem; introduction to integration; differentiation and integration of sines and cosines; area under a curve; definite integral; fundamental theorems of integral calculus. Class hrs. 4. Prerequisite: MATH 115 Precalculus, MATH 115A Tech Math with Calculus, or equivalent.
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3.00 Credits
This course is designed for students in the Childhood Education curriculum. It investigates the practical context of the mathematics taught in elementary school and the reasoning behind its skills and methods. Topics include numbers and numeration, place value, arithmetic operations and algorithms, estimation, prime numbers and factoring, fractions, decimals, proportional thinking, and negative numbers. Emphasis is on problem-solving and communication in mathematics. Class hrs. 3. Prerequisite: MATH 003 Beginning Algebra, or placement into college-level math and INTER 101 Introduction to Schools and Teaching, or permission form the instructor. INTER 101 may also be taken as a corequisite.
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3.00 Credits
Primarily for Computer Science students. The role of discrete mathematics applied to computer science. Includes sets, graphs, trees, Boolean algebra, and advanced computability topics such as finite difference equations. Class hrs. 3; Lab hrs. 1. Prerequisites: MATH 115 Precalculus or MATH 110B College Algebra: Functions & Models and COMSC 101 Computer Programming I or some other programming language equivalent. Offered based on student demand. * Specific graphics calculator required; wait until first day of class before purchasing.
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4.00 Credits
Infinite series, including power series and Taylor's formula; vectors and vector functions in two and three dimensions; partial differentiation; analytic geometry and calculus of functions of several variables; multiple integration with applications. Class hrs. 4. Prerequisite: MATH 122 Calculus II.
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3.00 Credits
See Honors for course description.
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4.00 Credits
An introductory study of the solution of several kinds of first order and linear higher order differential equations that occur in the real world. Applications include chemical mixing, electrical circuits, mechanical oscillations, the spread of epidemics and logistic population growth. Other topics include Laplace Transforms, series solutions, and numerical methods with applications in science and engineering. Class hrs. 4. Prerequisite: MATH 201 Calculus III or the permission of the instructor.
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4.00 Credits
See Honors for course description.
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4.00 Credits
A challenging introduction to modern mathematical thinking, showing the structure of mathematics as opposed to routine mechanical techniques. Topics include: vector spaces, linear mappings, bases, duality, orthogonality and scalar products, determinants and matrices, and matrix transformations. Applications in engineering, science, business, and computer science. Class hrs. 4. Prerequisites: MATH 121, MATH 122 Calculus I & II. Offered once a year.
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3.00 Credits
Successive approximations, error analysis, differentiation and integration, interpolation, polynomials, simultaneous linear algebraic equations, inversion of matrices and eigenvalues, various methods of solving differential equations using computer implementation. Lecture hrs. 3; Prerequisite: MATH 121 Calculus I, COMSC 101 Computer Programming I, COMSC 207 Java Programming for CompSci, or equivalent.
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1.00 - 3.00 Credits
Adapted to the needs and interests of the special college student. Content and number of credits to be approved and determined by the Math Department Chair. This course is designed for enrolled Westchester Community College students only. Prerequisite: Successful mathematical and general academic background.
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