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Course Criteria
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3.00 Credits
An introduction to the basic concepts of modern algebra. Topics include the nature of proofs, cosets, and Lagrange's theorem. Prerequisites: MATH 233 and MATH 265 with a grade of 'C' or better, or consent of the department.
Prerequisite:
Undergraduate level MATH 233 Minimum Grade of C or Undergraduate level MATH 265 Minimum Grade of C
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3.00 Credits
Study and discussion of concepts and problems from calculus and linear algebra. Recent actuarial examinations will be used for the discussion. Prerequisites: MATH 233 and MATH 364 or its equivalence with a grade of 'C' or better.
Prerequisite:
Undergraduate level MATH 233, MATH 265 Minimum Grade of C
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4.00 Credits
The third course of a three-course sequence. Topics include contour diagrams, vectors, vector calculus, functions of several variables, partial derivatives, multiple integrals, and optimization. Prerequisite: MATH 265 with a grade of 'C' or better.
Prerequisite:
Undergraduate level MATH 265 Minimum Grade of C
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3.00 Credits
Advanced topics of calculus including vectors and vector calculus, linear approximations of vector valued functions of several variables, the derivative matrix, real valued functions, multiple integrals, line integrals, surface integrals, and theorems of Green, and Stokes' divergence theorem. Prerequisite: MATH 364.
Prerequisite:
Undergraduate level MATH 364 Minimum Grade of C
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4.00 Credits
Elementary theory and methods of solutions of first order and second ordinary differential equations with applications; series solutions of linear differential equations; methods of solutions of systems of differential equations; LaPlace transforms and applications; and selected methods of solving linear differential equations. Prerequisite: MATH 364 with a grade of 'C' or better.
Prerequisite:
Undergraduate level MATH 364 Minimum Grade of C
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3.00 Credits
A study of some fundamental topics in discrete mathematics. Topics include counting principles, basic logic theory, mathematical induction, relations, the Pigeonhole Principle, generating functions, recurrence relations, Principle of Inclusion and Exclusion, and graph theory. Prerequisite: MATH 265.
Prerequisite:
Undergraduate level MATH 265 Minimum Grade of C
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3.00 Credits
Co-op students may be given up to nine semester hours of credit. A maximum of three semester hours may be applied to the mathematics requirement for graduation with the approval of the department. Prerequisite: Consent of instructor.
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4.00 Credits
This course combines selective topics normally covered in both calculus III and differential equations courses. Main focus is on application of fundamental mathematical principles to investigate realistic design elements. Topics include: vector differential and integral calculus; power series (Bessel and Legendre functions, and Fourier), partial fractions, Fourier and LaPlace transforms of derivatives; modeling of and solutions to DE's (ordinary, linear, and homogeneous) with constant coefficients, initial values, and free and forced oscillations. Prerequisite: MATH 265 with a grade of 'C' or better, or consent of the department.
Prerequisite:
Undergraduate level MATH 265 Minimum Grade of C
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3.00 Credits
The evolution of the natural number concept, numeration systems, number theory, the history of computation, the roots of algebra, the origin and extensions of geometry, extension of number concepts, the nature of infinity, and the history of calculus from Archimedes to Weierstrauss.
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3.00 Credits
An introductory study of number theory. Topics studied are divisibility, congruencies, quadratic reciprocity, diophantine equations, and sequences of primes. Prerequisite: Consent of the department.
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