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Course Criteria
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3.00 Credits
3 hrs. Logical connectives; quantifiers, inductive and deductive methods of proof; negation; contrapositive; sets; relations and functions. Topics include the completeness axiom, topology of the real line, compact sets, sequences, subsequences, Cauchy sequences, limits, continuity, and uniform continuity. Prerequisite: MTH 227 ( Offered Fall)
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3.00 Credits
3 hrs. Continuation of MTH 351 which includes discussions of differentiation, Riemann integral, derivatives of integrals, infinite series, absolute and conditional convergence, power series, Taylor series, sequences and series of functions, and modes of convergence. Prerequisites: MTH 351 ( Offered Spring)
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3.00 Credits
3 hrs. Collection and presentation of data; measures of central tendency and variability; skewness, binomial, normal, Chi-square, t-and F-distributions; estimation; confidence intervals and hypothesis testing; correlation coefficient; and analysis of variance. This course includes laboratory activities. (This course is designed for majors in biology, zoology, botany, medical technology, pre-veterinary medicine, and pre-nursing). Prerequisite: MTH 112.
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3.00 Credits
3 hrs. Introduction to computer usage and applications of technology in mathematics instruction, development of curriculum materials using mathematical software packages; laboratory demonstrations and projects. This course is open to Secondary Mathematics Education majors; this course is not open to Mathematics majors. Prerequisite: MTH 125. (Offered Spring)
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3.00 Credits
3 hrs. An introduction to the theory of numbers through a study of divisibility; congruencies; quadratic reciprocity; Diophantine equations; factorization; algebraic numbers. Prerequisite: MTH 237. ( Offered Fall).
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3.00 Credits
3 hrs. Introduction to numerical methods for interpolation; evaluating roots of polynomials, systems of equations; integration; differentiation; differential equations; approximation and error. Prerequisites: MTH 227 and CMP 102. ( Offered Fall and/or Spring)
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1.00 Credits
1 hr. A course designed to explore and study topics in the history of mathematics. Prerequisite: MTH 125. ( Offered Fall)
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3.00 Credits
3 hrs. The complex numbers, functions, continuity of complex variables, differentiability, Cauchy-Riemann conditions, contour integral theorem, sequences and series, and the calculus of residues. Prerequisite: MTH 227. ( Offered Fall and/or Spring).
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3.00 Credits
3 hrs. Probability axioms, methods of enumeration; conditional probability, independence, empirical frequency distribution, discrete and continuous random variables, expectation, moment generating functions, joint distributions, sums of random variables, and limit theorems. Prerequisite: MTH 126 or MTH 146. ( Offered Fall, Spring and Summer)
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3.00 Credits
3 hrs. Topics of advanced nature in differential and integral calculus. Emphasis is placed on the understanding of concepts and on the basic principles of analysis. Prerequisite: MTH 227.
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