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MATH 4340: Numerical Methods
3.00 Credits
University of Central Arkansas
This course is a mathematics elective that introduces methods of numerical analysis with modern high speed computers. Topics include methods of solving nonlinear equations, linear and nonlinear systems, polynomial approximation, curve fitting, numerical differential equations, numerical optimization. Lecture and computer activities. Prerequisite: MATH 1592, 3320, and CSCI 1470 or equivalent knowledge of computer languages. Spring.
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MATH 4345: College Geometry
3.00 Credits
University of Central Arkansas
This course is required for majors and minors in mathematics who plan to seek teacher licensure. The course focuses on the elementary theory in foundations of geometry, advanced Euclidean geometry, and introduces transformations and non-Euclidean geometries. Problem solving, discovery and computer activities, and lecture. Prerequisite: MATH 1591. Spring, summer.
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MATH 4350: Introduction to The History of Mathematics
3.00 Credits
University of Central Arkansas
This course is required for majors in mathematics education who plan to seek teacher licensure. The course traces the historical development of topics encountered in the secondary mathematics curriculum from the rise of civilization through the eighteenth century. The purpose of the course is to provide the prospective teacher with an understanding of the evolution of mathematical concepts and a pedagogical appreciation for the problems involved in the development of the concepts. Lecture, research, and discussion. Prerequisite: MATH 1592. Fall.
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MATH 4360: Teaching Internship I
3.00 Credits
University of Central Arkansas
This internship is required of secondary mathematics education majors. In the form of a three-hour practicum, this course combines the study of discipline-specific teaching methods and materials with the study of secondary school curriculum. Students enroll in this internship in an appropriate public school, concurrent to courses in methods, assessment, literacy, and the history of mathematics. Prerequisite: MATH 3370 and admission to Secondary Teacher Education. Required Corequisites: MATH 4301, 4350, MSIT 4320 and 4325.
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MATH 4362: Advanced Calculus I
3.00 Credits
University of Central Arkansas
This course is required for mathematics majors and serves a mathematics elective for applied mathematics majors. This rigorous theoretical treatment of calculus includes completeness, compactness, connectedness, sequences, continuity, differentiation, integration, and series. Lecture format and problem solving. Prerequisite: MATH 2371. Fall.
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MATH 4363: Advanced Calculus II
3.00 Credits
University of Central Arkansas
This course is an elective for mathematics and applied mathematics majors. This course is a multivariable treatment of Advanced Calculus topics that include a rigorous study of partial differentiation, multiple integrals, Implicit Function Theorem, Fubini's Theorem, line integrals, and surface integrals. Prerequisite: MATH 4362. Spring.
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MATH 4371: Introduction to Probability
3.00 Credits
University of Central Arkansas
This course is required for all majors in mathematics, mathematics education, and applied mathematics. This calculus-based introduction to probability and the distributions and properties of several discrete random variables includes hypergeometric, geometric, binomial, negative binomial, Poisson, and the distributions and properties of several continuous random variables, including normal, gamma, uniform, chi-squared, t, and F. Lecture format. Prerequisite: MATH 1592. Fall.
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MATH 4372: Introduction to Statistical Inference
3.00 Credits
University of Central Arkansas
This course is required for majors in applied mathematics and serves as an elective for majors in mathematics. This introduction to the theory of statistical inference includes sampling distributions, point and interval estimation, hypothesis testing, and linear models. Lecture and projects. Prerequisite: MATH 4371. Spring.
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MATH 4373: Applied Statistics
3.00 Credits
University of Central Arkansas
This course is an elective course for majors in mathematics and applied mathematics. This introduction to simple and multiple linear models and the analysis of variance (ANOVA) includes estimating the parameters of linear models and testing estimates. Students will learn basic designs of experiments and data analysis using ANOVA and examine applications in science, business, and industry. Lecture and projects. Prerequisite: MATH 4372. Fall.
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MATH 4375: Introduction to Topology I
3.00 Credits
University of Central Arkansas
This course is an elective for all mathematics majors and minors. This course is an introduction to the study of the properties of continuous functions, including applications to knots, surfaces, and function spaces. Lecture/seminar format. Prerequisite: Consent of instructor. On demand.
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