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MTH 351: Introduction to Real Analysis I
3.00 Credits
Alabama A & M University
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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MTH 351 - Introduction to Real Analysis I
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MTH 352: Introduction to Real Analysis II
3.00 Credits
Alabama A & M University
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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MTH 352 - Introduction to Real Analysis II
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MTH 355: Applied Statistics
3.00 Credits
Alabama A & M University
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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MTH 355 - Applied Statistics
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MTH 357: Computers and the Teaching of Mathematics
3.00 Credits
Alabama A & M University
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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MTH 357 - Computers and the Teaching of Mathematics
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MTH 371: Number Theory
3.00 Credits
Alabama A & M University
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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MTH 371 - Number Theory
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MTH 383: Numerical Analysis
3.00 Credits
Alabama A & M University
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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MTH 383 - Numerical Analysis
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MTH 401: History of Mathematics
1.00 Credits
Alabama A & M University
1 hr. A course designed to explore and study topics in the history of mathematics. Prerequisite: MTH 125. ( Offered Fall)
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MTH 401 - History of Mathematics
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MTH 452: Complex Analysis
3.00 Credits
Alabama A & M University
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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MTH 452 - Complex Analysis
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MTH 453: Probability and Statistics
3.00 Credits
Alabama A & M University
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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MTH 453 - Probability and Statistics
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MTH 454: Advanced Calculus
3.00 Credits
Alabama A & M University
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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MTH 454 - Advanced Calculus
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