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• MATH 162: Precalculus II

  3.00 Credits

  Community College of Philadelphia

  
  3-0-3 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 (C or better).
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• MATH 163: Discrete Mathematics I

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 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. Prereq: MATH 161 (C or better) or MATH 162 or higher placement.
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• MATH 165: Differential Calculus I

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 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. Prereq: MATH 118 (C or better) or MATH 161 or higher placement. Prerequisite:    MATH 118 (C or better) or MATH 161 or higher placement.
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• MATH 171: Calculus I

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 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. Prereq: MATH 162 (C or better).
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• MATH 172: Calculus II

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 The fundamental theorem of calculus, integration by substitution, areas and volumes, techniques of integration, arc length, improper integrals, polar coordinates and parametric equations, conic sections, sequences, infinite series, power series, convergence tests, alternating series, Taylor and Maclaurin series. Prereq: MATH 166 (C or better) or MATH 171 (C or better).
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• MATH 251: Statistics for Science

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 Algebra based statistics for science. Statistical topics include descriptive measures, graphical methods, discrete and continuous probability distributions, estimation, one and two-tailed hypothesis testing and categorical data. Prereq: FNMT 118 (C or better) or MATH 150 (with a C or better).
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• MATH 263: Discrete Mathematics II

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 Discrete Mathematics II is a continuation of the study of discrete structures. It includes algorithms and algorithm efficiency; big-O,big-Omega,big-Theta and little-o notation, average and worst-case speed; sorting algorithms; graphs, adjacency and incidence matrices, paths, connectedness, bipartite graphs, isomorphism, Euler and Hamilton paths, shortest paths, Dijkstra's algorithm, planarity, Euler's formula, graph coloring; trees, tree traversal, prefix, infix and postfix notation, spanning trees and minimum spanning trees (Prim, Kruskal). Formal languages, finite state machines and automata may also be discussed. Prereq: MATH 163 (C or better).
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• MATH 270: Linear Algebra

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 Matrices, determinants, vector spaces, inner product spaces, eigenvalues, eigenvectors, linear transformations and applications. Prereqs: MATH 171 (C or better) and MATH 172 (C or better). MATH 172 may be taken concurrently.
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• MATH 271: Calculus III

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 The calculus of vector-valued functions and multivariate functions; vectors in multi-dimensional space; cylindrical, spherical, and other coordinate systems; partial derivatives; multiple integrals; Green's Theorem; the divergence Theorem; Stokes Theorem. Prerequisite: MATH 172 (C or better) and MATH 270 (C or better).
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• MATH 272: Differential Equations

  4.00 Credits

  Community College of Philadelphia

  
  4-0-4 First order equations; higher order linear differential equations; systems of linear differential equations; series solutions of linear differential equations; the Laplace transform; applications; first order partial differential equations; Fourier Series. Prerequisites: MATH 172 (C or better) and MATH 270 (C or better).
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