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Course Criteria
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4.50 Credits
(Cross listed and equivalent to CSC208) (Prerequisite: MTH 215, or placement evaluation) An introduction to limits and continuity. Examines differentiation and integration concepts with applications to related rates, curve sketching, engineering optimization problems, and business applications. Students may not receive credit for both MTH220 and CSC208.
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4.50 Credits
(Prerequisite: MTH 220) A discussion of differentiation and integration concepts of the natural logarithm, exponential and inverse trigonometric functions and applications to volumes of revolution, work and arc length. Covers improper integrals and highlights ideas and contributions of Natpier, Huygens and Pascal. Graphing calculator is required.
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4.50 Credits
(Prerequisite: MTH 221) A study of sequences, Taylor Polynomials, infinite series, and tests for convergence, and the power series. An overview of ordinary differential equations; the initial-value Problem; exactness and integrating factors; and Bernoulli and higher-order equations with forcing functions.
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4.50 Credits
(Prerequisite: MTH 222) A study of functions of several variables: extrema and Lagrange Multipliers, with application to today's optimization-problems in engineering, business, and ecology. Vector algebra and space geometry; Kepler's Laws with application to satellite orbital velocity problems and the rendezvous phenomenon, iterated integrals and applications, the Jacobian transformation will be studied.
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4.50 Credits
(Prerequisite: MTH 209A) This continuation of MTH 209A includes concepts of measurement, geometry, probability and statistics, elementary synthetic and Euclidean Geometry. Methods are incorporated whenever possible. However, both MTH 209A and MTH 301 are content/ concept courses as prescribed by State regulations, not methods courses.
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4.50 Credits
(Prerequisites: MTH 215 or MTH 216 A and B or Placement Evaluation) *Should be taken as early as possible in the student's program. Students observe and reflect on the actual work of public secondary school mathematics teachers (at least 28 hours in pubic middle or secondary school mathematics classrooms and at least 3.5 hours of student activities and administrative meetings).
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4.50 Credits
(Prerequisites: MTH 215 or placement evaluation) A survey of main concepts of Euclidean geometry with the emphasis on the axiomatic approach, constructions, logic of proof, and some ideas from non- Euclidean geometry including historical aspects. A study of axioms of Euclidean Geometry, inference rule, some basic theorems of Euclidean Geometry, and rigorous proofs will be offered.
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4.50 Credits
(Prerequisites: MTH 215 or MTH 216A/B and MTH 210) An introductory to mathematical modeling, utilizing a variety of diverse applications from physical, biological, business, social, and computer sciences. Discuss the limitations, as well as the capabilities, of mathematics as applied to understanding of our world. Teaches problem identification, models of solutions and model implementation.
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4.50 Credits
(Cross listed and equivalent to CSC331) (Prerequisites: MTH 215 or MTH 216A/B or placement evaluation) This course studies combinatory and graph theory as the theoretical foundation for today's advanced technology. It analyzes algorithms, logic, circuits, number bases, and proofs. Ample applications (graphs, counting problems, Turing Machines, codes) examine the ideas of Euler, Boole, Floyd, Warshall, Dijkstra, Church and Turing, Shannon, Bernoulli. Students may not receive credit for both MTH325 and CSC331.
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4.50 Credits
(Prerequisite: MTH 215 or MTH 216A/B or MTH 301) An overview of the computer-based technology in the mathematics classroom. Evaluates graphing calculators, and computer software such as Maple, Scientific Workplace, Geometer's Sketchpad, MiniTab, SPSS, and others to determine their value in illuminating concepts in the curriculum.
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