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Course Criteria
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3.00 Credits
A treatment of vector spaces, differentiation of vector valued functions, and functions of several variables, partial derivatives, maximum and minimum of functions of several variables, Taylor's formula and applications, and line and double integrals. Prerequisites: MTSC 253 with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 253
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3.00 Credits
A continuation of MTSC 451 covering curve and double integrals, Green's Theorem, triple and surface integrals, Divergence Theorem in 3-space, Stoke's Theorem, Differentiability and the change of Variable Theorem for functions from R(exp n) into R(exp m), the Jacobian Matrix, and the inverse mapping and implicit function theorem.Prerequisites: MTSC 451 with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 451
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3.00 Credits
Introduction to the subject of partial differential equations, first order equations (linear and nonlinear), heat equation, wave equation, and Laplace equation. Examples of nonlinear equations of each type. Qualitative properties of solutions. Methods of characteristics for hyperbolic problems. Solution of initial boundary value problems using separation of variable and eigenfunction expansions, and transform methods. Some numerical methods. Prerequisite: MTSC 351 with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 351
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3.00 Credits
An introduction to ordered and Archimedean fields, the theory of limits and continuity of functions, topological concepts, properties of continuous functions, the theory of differentiation and integration, and selected topics from power series and functions of several variables. Prerequisites: MTSC 253 and MTSC 213 with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 253
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3.00 Credits
An introduction of complex numbers, Cauchy-Riemann equations, analytic and harmonic functions, elementary functions and their properties, branches of logarithmic functions, inverse trigonometric functions, the Cauchy-Goursat theorem, the Cauchy integral formula, Morera's theorem, Maximum Modulus Principle, Taylor and Laurent series, residues and poles, and linear fractional transformations. Prerequisites: MTSC 253 with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 253
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3.00 Credits
A study of the evolution of mathematics. Topics include the scope and history of the Egyptian geometry, Greek and Arabic mathematics, the mechanical world, probability theory, number theory, non-Euclidean geometry, and set theory. Prerequisites: MTSC 252 with a "C" or better. Credit, three hours.
Prerequisite:
MTSC 252
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3.00 Credits
Senior Capstone course. A treatment of selected topics in mathematics. Prerequisites: Consent of the Department of Mathematics. Credit, three hours.
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3.00 Credits
A treatment of selected topics in mathematics augmented by invited guest speakers and student presentations. Prerequisites: Consent of the Department of Mathematics.Credit, three hours.
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3.00 Credits
This course is specifically designed to bridge undergraduate and graduate study in mathematics. It is an introduction to abstract ideas, proofs, set theory, relations, and number systems and their connections.Prerequisites: MTSC 252.Credit, three hours.
Prerequisite:
MTSC 252
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3.00 Credits
This course is the first of a two (2) part sequence designed to provide weighty consideration of some of the major topics in middle and secondary school mathematics education. Emphasis will be on epistemological, pedagogical, social, psychological, effective teaching, classroom management, and cultural concerns as well as the teaching profession. This course is also a study of methods and materials used in teaching mathematics and will expose students to current educational theory and reform organizations. Through research, practice, and presentations, students will take an active role in the instruction and development of materials for this course.Prerequisites: MTSC 252, MTSC 313, MTSC 341, MTSC 241 and MTSC 203.Credit, three hours.
Prerequisite:
MTSC 252 AND MTSC 313 AND MTSC 341 AND MTSC 241 AND MTSC 203
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