• MATH 145: College Algebra

  3.00 Credits

  Tusculum University

  
  The course designed for math and science majors covers college algebra, functions (including polynomial, exponential and logarithmic) and applications to business and the natural, physical and social sciences. Learning Outcome: Mathematical Reasoning. Prerequisite: Math 106 or ACT Math score of 21 or above or SAT Math score of 500 or above or validation.
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• MATH 160: Trigonometry

  3.00 Credits

  Tusculum University

  
  Trigonometric functions, identities and inverse function; trigonometry of triangles, zeros or higher degree polynomials and other selected topics in algebra. Prerequisite: MATH 100 or higher, ACT Math score of 21 or higher or SAT Math score of 500 or higher. Co-requisite: MATH 145.
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• MATH 170: Finite Mathematics

  3.00 Credits

  Tusculum University

  
  This course introduces the student to several of today's main areas of applications of algebra to represent and solve problems, using technology as appropriate. These include linear models, systems of linear equations, linear programming, probability and counting, matrices, Markov chains, and mathematics of finance. The student will apply some common and less common algorithmic processes to solve families of problems, using mental strategies, technology and paper and pencil to understand and solve problems. Prerequisite: MATH 135, ACT Math score of 24 or above, or SAT Math score of 560 or above.
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• MATH 180: Pre-Calculus

  4.00 Credits

  Tusculum University

  
  An intense review and extension of the aspects of algebra, geometry and trigonometry that are most important in the study of calculus; an introduction to new ideas necessary for the study of calculus such as limit, continuity and composition of functions. Prerequisite: ACT Math score of 23 or higher or SAT Math score of 540 or higher.
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• MATH 190: Calculus I

  4.00 Credits

  Tusculum University

  
  Introduction of calculus including limits, differentiation, integration and analytic geometry. Applications (both traditional and modern) appear throughout, including examples from geometry, economics and physics. The graphing, functional and programming features of graphing calculators will be employed to enhance the understanding and application of calculus. Prerequisite: MATH 160 or MATH 180, ACT Math score of 26 or above, or SAT Math score of 590 or above.
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• MATH 205: Introduction to Geometry

  3.00 Credits

  Tusculum University

  
  A college geometry course emphasizing Euclidean Plane Geometry and its relationship to logic, trigonometry and coordinate geometry. The problems, proofs, constructions and graphs involve line segments, angles, triangles and polygons, parallel and perpendicular lines, slope of lines, circles and similarity. Trigonometry is presented in terms of right triangle relationships; logic is the basis for deductive reasoning in proofs of theorems; lines and other geometric figures are graphed in the rectangular coordinate system. Prerequisites: MATH 135, ACT Math score of 24 or above, or SAT Math score of 560 or above.
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• MATH 220: Discrete Mathematics

  3.00 Credits

  Tusculum University

  
  This course provides the foundation essential for reasoning in mathematics and in computer science. Topics include, but are not restricted to, propositional and predicate logic, proof of strategies and induction, sets, functions and recursion. Prerequisite: MATH 135 or higher or permission of the instructor.
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• MATH 225: Mathematical Reasoning

  3.00 Credits

  Tusculum University

  
  This course is designed to improve the basic language of mathematics and mathematical proofs, logic, sets, quantifiers and functions. Basic proof techniques and mathematical induction will also be examined. Prerequisite: MATH 190.
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• MATH 240: Intro to Differential Equations

  3.00 Credits

  Tusculum University

  
  Methods of solution, computations, and applications of first order and linear second order differential equations including analysis, programming and testing of iterative and recursive techniques to solve differential equations numerically. Prerequisite: MATH 190.
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• MATH 250: Mathematical Statistics

  3.00 Credits

  Tusculum University

  
  A rigorous treatment of topics first encountered in elementary statistics courses. A working knowledge of calculus is required. Topics including conditional probability, generating functions, sampling distributions and The Central Limit Theorem. Prerequisites: MATH 140 and MATH 190, or permission of the instructor.
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