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• MAT 165: College Trigonometry

  3.00 Credits

  Lehigh Carbon Community College

  
  This course offers a rigorous approach to both the theory and application of basic trigonometry and related geometric considerations. Topics include trigonometric functions, radian measure, graphing, identities and equations, inverse functions, vectors, conic sections, parametric equations, and polar curves. A graphing calculator is required.
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• MAT 170: Precalculus

  4.00 Credits

  Lehigh Carbon Community College

  
  Designed for students whose backgrounds are not sufficient to immediately begin the calculus sequence. Serves any student looking for a mature investigation of algebra and trigonometry. This one-semester course covers the topics included in MAT 160 and MAT 165 at a relatively rapid pace. Topics include: polynomials, systems of equations, sequences and series, trigonometric functions and graphs, inverse functions, exponential and logarithmic functions, identities and equations, parametric equations, and polar curves. A graphing calculator is required (TI-83 or TI-83 PLUS is preferred).
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• MAT 188: Business Calculus

  3.00 Credits

  Lehigh Carbon Community College

  
  Designed for students in business programs. Topics covered include linear, quadratic, polynomial, rational, exponential and logarithmic functions, differtial and integral calculus of a sign variable; and various applications to business and economics. NOTE: This course is not to be taken in place of MAT 191 (Calculus & Analytic Geometry I) and does not serve as a prerequisite for MAT 196 (Calculus & Analytic Geometry II). A graphing calculator is required (TI-83/84 or 83/84 PLUS referrred).
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• MAT 191: Calculus & Analytic Geometry I

  4.00 Credits

  Lehigh Carbon Community College

  
  Primarily intended for students majoring in science, mathematics or engineering. Topics include data analysis, limits, differentiation with applications (optimization and related rates), definite and indefinite integration. Also included are Newton's Method and Applications of Integration. A graphing calculator is required.
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• MAT 196: Calc & Analytic Geometry II

  4.00 Credits

  Lehigh Carbon Community College

  
  A continuation of MAT 191. Topics covered include transcendental and hyperbolic functions, techniques of integration, numeric methods of integration, improper integrals, Euler's method, probability, first-order differential equations, infinite sequences and series, parametric equations and polar coordinates, along with conic sections.
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• MAT 201: Calc & Analytic Geometry III

  4.00 Credits

  Lehigh Carbon Community College

  
  Investigates the algebra of vectors. Includes such topics as vector functions, vector calculus, partial differentiation, and multiple integrals. A graphing calculator is required.
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• MAT 203: Discrete Mathematics

  3.00 Credits

  Lehigh Carbon Community College

  
  Designed for students majoring in mathematics or computer science and others desiring a broader mathematics perspective. Topics include logic, sets, methods of proof, relations, functions, mathematical induction, counting techniques, probability, recurrence relations, mathematical systems, and graph theory.
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• MAT 210: Linear Algebra

  3.00 Credits

  Lehigh Carbon Community College

  
  An introduction to matrices and matrix algebra. Topics discussed include matrix operations, inverses of matrices, solving systems of linear equations, determinants, real vector spaces and inner product spaces, linear transformations, eigenvalues and eigenvectors, and applications. A computer algebra system will be utilized to assist with solving some of the problems in this course.
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• MAT 230: Differential Equations

  4.00 Credits

  Lehigh Carbon Community College

  
  Ordinary differential equations of the first and second order with applications, operators, Laplace Transforms, vibration analysis, electrical circuits, and solutions in series are examined. Matrix algebra is introduced and applied to find characteristic vectors and solutions to systems of linear differential equations. A graphing calculator is required (TI-83 or TI-83 PLUS is preferred).
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• MAT 250: Selected Topics in Math I

  1.00 Credits

  Lehigh Carbon Community College

  
  An interdisciplinary math and science course designed to introduce students to various topics within the natural sciences and their mathematic components. Topics will be selected at the instructor's discretion and generally vary each semester. Possible themes include the human genome project, string theory, stem cell research, history of science, endocrine disruption, global environmental issues, fad diets, Nobel laureates, genetically engineered products, human sexuality, quantum mechanics, or issues in pharmacology. Students may repeat this course for credit, provided that they do not enroll in semesters featuring the same theme: their transcripts will list the second enrollment as MAT 251.
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