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Course Criteria
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3.00 Credits
Topics selected from geometry, algebra, graphs, functions, game theory, mathematical induction, permutations, combinations, probability, logic; Euclidean, non-Euclidean, projective, finite, and coordinate geometries; groups, matrices. Prerequisites: MTH 04 or equivalent and ENG 02 and RDL 02 if required.
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3.00 Credits
Topics selected from BASIC computer language; mathematical simulation of problems from diverse fields including water pollution, population studies, political polls, and artificial intelligence; mathematical algorithms and interpretation of graphs. Prerequisites: MTH 04 or equivalent and ENG 02 and RDL 02 if required. MTH 30 through 35 are designed for students majoring in mathematics, physics, biology, chemistry, engineering science, computer science, and are recommended for those in other curricula with advanced preparation.
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4.00 Credits
Topics include inequalities, function concept, special functions, exponential and logarithmic function, rational and irrational functions, binomial theorem, trigonometric functions, mathematical induction. Prerequisites: MTH 06 or equivalent and ENG 02 and RDL 02 if required.
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4.00 Credits
Limits, rates of change, differentiation and anti-differentiation of algebraic functions, applications, integrals, curve sketching. For Engineering Science students or for Liberal Arts and Sciences students planning to major in mathematics, computer science or physical science. Prerequisite: MTH 30 or equivalent and ENG 02 and RDL 02 if required.
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5.00 Credits
Differentiation and integration of transcendental functions, hyperbolic functions, applications of the definite integral; parametric equations, mean value theorems, polar coordinates, plane analytic geometry. Prerequisites: MTH 31 or equivalent and ENG 02 and RDL 02 if required.
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5.00 Credits
Vectors, applications of vectors to analytic geometry and calculus, partial differentiation, multiple integrals, volumes and surface area, infinite series, applications. Prerequisites: MTH 32 or equivalent and ENG 02 and RDL 02 if required.
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4.00 Credits
Methods of solving ordinary differential equations; selected topics from among the following: hyperbolic functions, power series, Fourier series, gamma functions, Bessel functions, problems of motion, electric circuits, damped and forced vibrations, Laplace transform. Prerequisites: MTH 33 or equivalent and ENG 02 and RDL 02 if required.
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4.00 Credits
Matrices, introduction to linear algebra and vector analysis, integral theorems of Gauss, Green and Stokes; applications. Prerequisites: MTH 33 or equivalent and ENG 02 and RDL 02 if required.
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4.00 Credits
Vector spaces, basis and dimension, matrices, linear trans - formations, determinants, solution of systems of linear equations, eigenvalues and eigenvectors. Prerequisites: MTH 32 or equivalent and ENG 02 and RDL 02 if required.
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4.00 Credits
Differential geometry of curves, line integrals, surface integrals, change of variables, Green's theorem, Stokes' theorem,Gauss's Theorem. Prerequisites: MTH 33 or equivalent and ENG 02 and RDL 02 if required.
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