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Course Criteria
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4.00 Credits
4 hours; 4 credits This course is designed to provide the student who has completed MTH 2206 with the background needed for completion of the calculus sequence. Topics to be discussed include implicit derivatives, related rates, antiderivatives, definite integral with applications, fundamental theorem of calculus, properties of trigonometric and inverse trigono - metric functions, methods of integration, limits, and indeterminate forms. (Not open to students who have completed MTH 2610, 2630, or 3010.) Prerequisite: A grade of 2.75 (or C+) or higher in MTH 2205, 2206, or 2207 or departmental permission.
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4.00 Credits
4 hours; 4 credits Topics to be discussed include transcendental functions, techniques of integration, improper integration, numerical integration, Taylor polynomial, introduction to multivariable functions, Lagrange multipliers, and indefinite and definite multiple integrals. (Not open to students who have completed MTH 2630, 3006, or 3030.) Prerequisite: A grade of C- or better in MTH 2610.
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4.00 Credits
4 hours; 4 credits Topics to be discussed include vectors in the plane and threedimensional space; infinite sequences and series of numbers; convergence tests for sequences and series; indeterminate forms; multivariable calculus; chain rules, implicit functions, change of variables in multiple integrals; and polar coordi - nates, limits, continuity, and differentiability. (Not open to students who have completed MTH 3030.) Prerequisites: A grade of C- or better in MTH 3010.
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5.00 Credits
5 hours; 5 credits Topics to be discussed include elements of solid geometry, level curves and surfaces, vectors in space and their properties, differential calculus of functions of several variables, infinite sequences and series, convergence tests, Taylor's formula with remainder, Taylor series expansion of a function, and analytic functions. (Not open to students who have completed MTH 3010 or 3020.) Prerequisite: MTH 2630 or a grade of C- or better in MTH 3006.
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2.00 Credits
2 hours; 2 credits Mathematics 3040 is the study and analysis of challenging examples in such areas as differentiation and integration, infinite series, theory of equations, complex numbers, functions of one and several variables, and mathematical probability. Techniques taught are beyond the scope and level presented for the comparatively routine types of questions encountered in ordinary mathematics classes and are designed to develop the kinds of approaches and thinking required for actuarial work and examinations. (Direct actuarial applications are not included.) Prerequisites: MTH 3020 or 3030 and MTH 4120.
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4.00 Credits
4 hours; 4 credits Chaos arises in mathematics when arbitrarily small changes in initial data can lead to immense changes in results over a fixed time interval. This course studies these phenomena both in the abstract and by experimentally using computer algebra systems. It begins with the iteration of polynomial maps of one variable. Most important phenomena are already present in this simple situation. The iteration of quadratic functions of one complex variable will lead to the Mandelbrot set. Prerequisite: MTH 3010 or departmental permission.
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3.00 Credits
3 hours; 3 credits This course will introduce the student to the basic elements of discrete probability including: sample spaces, rules of probability, independence, conditional probability, Bayes' Theorem, discrete multivariate distributions, covariance, correlation, and various special discrete distributions. It will also cover a small amount of integral calculus and introduce the student to the Normal distribution and the Central Limit Theorem. (Not open to students who have completed MTH 3020 or MTH 3030 or MTH 4120.) Prerequisite: MTH 2205, 2206, 2207, or 2610.
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4.00 Credits
4 hours; 3 credits The objective of this course is to provide the basic know - ledge and experience necessary to use computers effectively by developing an understanding of the interplay between the computer, its associated languages, and the structured development of algorithms. Topics to be covered include computer organization and operation, data representation, algorithm development and specification, and programming languages and techniques. These topics are developed through the study and application of a higher-level language, such as C++. (Credit will not be granted for both MTH 3300 and CIS 3100.) Prerequisite: MTH 2000, 2001, or 2003.
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1.00 Credits
1 hour; 1 credit This course consists of a coordinated and supervised internship in actuarial science. Students enhance their educational experience by working as actuarial science interns. Students keep a journal describing each day's activities, duties, and responsibilities with an emphasis on how material learned in academic courses previously and concurrently taken are used to carry them out. The journal also will emphasize new techniques, theories, and methods that the student learns as part of the internship. Weekly meetings with a faculty mentor are used to discuss the journal and a final paper summarizing the experience is required. Students are supervised by a faculty mentor and professional staff in the organization. The faculty mentor meets with the student's immediate supervisor at least twice. The first meeting occurs near the beginning of the semester to discuss goals. There is another meeting near the end of the semester to discuss the student's performance and to evaluate the experience. This course is graded on a pass/fail basis. (Only one of the four courses may be taken each semester.) Prerequisite: Open by permission of the Mathematics Department only to students who are declared actuarial science majors. A student may enroll in MTH 3901/3902/ 3903/3904 upon receiving an internship of a minimum of 10 hours per week in an approved organization requiring an actuarial science major.
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1.00 Credits
1 hour; 1 credit This course consists of a coordinated and supervised internship in mathematics. Students enhance their educational experience by working as mathematics interns. Students keep a journal describing each day's activities, duties, and responsibilities with an emphasis on how material learned in academic courses previously taken are used to carry them out. The journal also will emphasize new techniques, theories, and methods that the student learns as part of the internship. Weekly meetings with a faculty mentor are used to discuss the journal and a final paper summarizing the experience is required. Students are supervised by a faculty mentor and professional staff in the organization. The faculty mentor meets with the student's immediate supervisor at least twice. The first meeting occurs near the beginning of the semester to discuss goals. There is another meeting near the end of the semester to discuss the student's performance and to evaluate the experience. This course is graded on a pass/fail basis. (Only one of the four courses may be taken each semester.) Prerequisite: Open by permission of the Mathematics Department only to students who are declared mathematics majors. A student may enroll in MTH 3905/3906/ 3907/3908 upon receiving an internship of a minimum of 10 hours per week in an approved organization requiring a mathematics major.
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