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Course Criteria
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4.00 Credits
4 semester hours The first of three courses covering the fundamentals of calculus and its applications. Topics include limits, continuity, derivatives, implicit differentiation, applications of differentiation, indefinite integral, the definite integral, numerical integration, logarithmic and exponential functions, and inverse functions. Prerequisite: MTH1310 with a grade of "C" or better or its equivalent as demonstratedon the AU mathematics competency examination.
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4.00 Credits
4 semester hours A continuation of MTH2210. Topics include application of integration, area, volume of revolution, arc length, techniques of integration, L'Hopital's rule,improper integrals, sequences, infinite series, power series, conics, parametric equations, polar, cylindrical, and spherical coordinates. Prerequisite: MTH2210.
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4.00 Credits
4 semester hours A continuation of MTH2220. This is a multivariable course. Topics include vectors, vector functions and their derivatives, partial derivatives, multiple integrals, vector analysis, and infinite series. Prerequisite: MTH2220.
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3.00 Credits
3 semester hours This course is designed to acquaint the student with the principles of descriptive and inferential statistics. Topics will include: measures of central tendency, variability, probability, standard scores, confidence intervals, hypothesis testing, correlation, and regression analysis. This course is open to any student interested in general statistics and it will include applications pertaining to students majoring in athletic training, pre-nursing and business. Prerequisite: MTH1100 or MTH1110.
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3.00 Credits
3 semester hours This course is designed to provide the science student with the requisite background in descriptive and inferential statistics to design and analyze results of research in his/her field. Special emphasis is placed on experimental design, derivations of statistics, and will use applications fromthe sciences. Topics will include measures of central tendency, measures of variability, probability, the normal distribution, confidence intervals, hypothesis testing, correlation, linear regression, analysis of variance, andmultiway factorial design. Students will use a statistical calculator, and be given an introduction to computer software packages applicable to statistical analysis. Prerequisite: MTH1310.
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3.00 Credits
3 semester hours This course gives a comprehensive overview of the theory of interest and its application to a wide variety of financial instruments. Topics include rates of interest, present and future value, effective and nominal rates, annuities, loans, bonds, rate of return, stocks, fixed income investment, cashflow duration and immunization. Prerequisite: MTH2220.
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2.00 Credits
2 semester hours Measurement of mortality; pure endowments; life insurance; net single premiums; net annual premiums; special topics. Prerequisite: MTH3100 or BUS3430.
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3.00 Credits
3 semester hours The fundamentals of advanced mathematics and an introduction to mathematical proofs. Topics include: logic, quantifier notation, set operations, functions, relations, the integers, and study of rational, real, and complex numbers as fields. Prerequisite: MTH2220 or consent of department.
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2.00 Credits
2 semester hours Net level premium reserves; multiple life functions; multiple decrements; the expense factor; special topics. Prerequisite: MTH3200.
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3.00 Credits
3 semester hours The theory of probability and statistics in both the discrete and continuous cases. Topics include the binomial, geometric, Poisson, uniform, exponential, and nor- mal distributions. Also included is the Central Limit Theorem and an introduction to statistical inference. Prerequisite: MTH2230.
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