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MAT 4150: Theory of Numbers
3.00 Credits
University of North Carolina at Pembroke
An introduction to the properties of integers, prime and composite numbers, Fermat's Theorem, arithmetic functions, quadratic residues, Diophantine equations, continued fractions and congruences. Credit, 3 semester hours. PREREQ: MAT 2210 or 2150.
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MAT 4150 - Theory of Numbers
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MAT 4220: Applied Mathematics
3.00 Credits
University of North Carolina at Pembroke
Introduction to mathematical modeling. Techniques and properties of discrete and continuous models. Case studies. Credit, 3 semester hours. PREREQ: MAT 3150 and MAT 3320.
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MAT 4220 - Applied Mathematics
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MAT 4310: Real Analysis I
3.00 Credits
University of North Carolina at Pembroke
An introduction to modern mathematical analysis with careful attention to topics of elementary and intermediate calculus of one or more variables. Topics include convergence of sequences and series, mean value theorems, the Cauchy criterion, integrability. Credit, 3 semester hours. PREREQ: MAT 2300 and 3310.
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MAT 4310 - Real Analysis I
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MAT 4320: Real Analysis II
3.00 Credits
University of North Carolina at Pembroke
A continuation of Advanced Calculus I including such topics as the total derivative of multi-variable functions, transformations of Rn, representations of functions by series and integrals, and uniform convergence. Credit, 3 semester hours. PREREQ: MAT 4310.
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MAT 4320 - Real Analysis II
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MAT 4440: Complex Analysis
3.00 Credits
University of North Carolina at Pembroke
Complex numbers, analytic functions, conformal mappings, contour integration, Cauchy's theorem and integral formula. Taylor and Laurent expansions, analytic continuation, and Liouville's theorem. Credit, 3 semester hours. PREREQ: MAT 3310.
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MAT 4440 - Complex Analysis
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MAT 4490: Internship in Mathematics in the Secondary School
9.00 Credits
University of North Carolina at Pembroke
Provides a semester-long full-time teaching experience in an off campus public school setting. Pass/ Fail grading. Credit, 9 semester hours. PREREQ: MAT 4000
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MAT 4490 - Internship in Mathematics in the Secondary School
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MAT 4600: Connections in Mathematics III
1.00 Credits
University of North Carolina at Pembroke
This seminar course is designed to help mathematics and mathematics education majors connect and deepen their mathematical understandings of advanced analysis and technology. Emphasis will be placed on research and communication of mathematical ideas. Major course work will include production of portfolio artifacts that represent the major's development of understanding in the mathematics curriculum. Credit, 1 semester hour. PREREQ: MAT 3600.
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MAT 4600 - Connections in Mathematics III
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MAT 4750: Professional Seminar in Secondary Mathematics
3.00 Credits
University of North Carolina at Pembroke
A seminar designed to parallel the full-semester student teaching experience. Emphasis will be placed on the appropriate application of methods of teaching and assessment in a clinical setting. Proper use of instructional materials, participation in the reflective teaching process, and opportunities for professional development and growth will be emphasized. Credit, 3 semester hours. PREREQ: Admission to Professional Semester.
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MAT 4750 - Professional Seminar in Secondary Mathematics
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MAT 4990: Independent Study
1.00 - 3.00 Credits
University of North Carolina at Pembroke
Offered for mathematics majors on approval of the Department Chair. Credit, 1 3 semester hours.
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MAT 4990 - Independent Study
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MATS 4xxx: Special Topics
6.00 Credits
University of North Carolina at Pembroke
A study of special topics in mathematics or mathematics education. May be repeated to a maximum of 6 hours. Credit, 1-3 semester hours. PREREQ: Permission of instructor.
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MATS 4xxx - Special Topics
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