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MATH 4322: INTRODUCTION TO COMPLEX VARIABLES
3.00 Credits
The University of Texas at Arlington
An introduction to the theory of functions of a complex variable and also an introduction to applications including uses of the residue theory, contour integration and conformal mapping. Prerequisite: C or better in MATH 2326.
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MATH 4324: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
3.00 Credits
The University of Texas at Arlington
Methods of solutions of selected elliptic, parabolic, and hyperbolic partial differential equations with reference to physical applications. Prerequisite: C or better in MATH 3318 or MATH 3319.
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MATH 4334: ADVANCED MULTIVARIABLE CALCULUS
3.00 Credits
The University of Texas at Arlington
The properties of continuous mappings from N-dimensional Euclidean space to M-dimensional Euclidean space; an introduction to differential forms and vector calculus, based upon line integrals, surface integrals, and the general Stokes theorem. Prerequisite: C or better in MATH 3335.
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MATH 4334 - ADVANCED MULTIVARIABLE CALCULUS
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MATH 4335: ANALYSIS II
3.00 Credits
The University of Texas at Arlington
Differentiation, integration, and selected topics in sequences and series of functions and metric spaces. Prerequisite: C or better in MATH 3335.
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MATH 4345: NUMERICAL ANALYSIS & COMPUTER APPLICATIONS II
3.00 Credits
The University of Texas at Arlington
Numerical solutions for ordinary differential equations, boundary value problems, minimizations of multivariate functions, and methods of least squares. Prerequisite: C or better in MATH 3345.
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MATH 4350: PRECALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS
3.00 Credits
The University of Texas at Arlington
This course serves to bridge the gap between algebra and calculus for middle level teachers. It will develop a firm understanding of the concept of function, how to graphically represent various functions, analyze their behavior and create new functions from old. Functions will be used to model real-life situations.The course will focus on the essential elements of precalculus, as given by the TEKS. It will develop the foundations for functions and explore functions as a unifying theme. This includes transformations, inverses, and solving equations. These foundational ideas will be explored and applied to specific functions, including exponential, logarithmic, power, polynomial, rational, and trigonometric functions. There will be an emphasis on multiple representations of mathematical ideas: verbal, concrete, pictorial, tabular, symbolic and graphical. Throughout, the mathematical connections between precalculus and school mathematics will be highlighted. Prerequisite: C or better in MATH 1302,1308, 1330
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MATH 4350 - PRECALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS
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MATH 4351: CALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS
3.00 Credits
The University of Texas at Arlington
This course serves to introduce the basic concepts of calculus to middle level teachers. The primary goal is to help teachers develop a fundamental understanding of the key mathematical ideas in calculus in order to broaden their mathematical perspective and gain insight into the topics in the middle level curriculum which are related and foundational to its development. Participants will develop conceptual knowledge of the processes of differentiation and integration, and understanding of their applications and an understanding of the relationship between the two processes. Prerequisite: C or better in MATH 4350. This course does not count toward a degree in mathematics.
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MATH 4381: MATHEMATICS RESEARCH
3.00 Credits
The University of Texas at Arlington
Formulation and definition of research problems, the formulation and execution of strategies of solution, and the presentation of results. Prerequisite: consent of instructor. Recommendation by other faculty encouraged.
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MATH 4391: SPECIAL TOPICS IN MATHEMATICS
3.00 Credits
The University of Texas at Arlington
Special topics in mathematics are assigned to individuals or small groups. Faculty members closely supervise the projects and assign library reference material. Small groups will hold seminars at suitable intervals. May be repeated for credit. Prerequisite: senior standing and written permission of the instructor & department chair.
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MATH 4391 - SPECIAL TOPICS IN MATHEMATICS
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MATH 4392: ADVANCED TOPICS IN MATHEMATICS
3.00 Credits
The University of Texas at Arlington
Varies from semester to semester. New developments in mathematics, in-depth study of a topic not covered in other courses, or a special faculty expertise made available to undergraduates. May be repeated for credit as topic varies. Prerequisite: permission of instructor.
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