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MATH 325: Theory of Numbers
3.00 Credits
Rockford University
Topics include properties of integers, Euclid's algorithm, divisibility, primes, congruencies, quadratic residues and reciprocity, number theoretic functions, Diophantine equations and Gaussian integers. Emphasis is on rigor; the theorems of Fermat, Euler, Wilson, Lagrange and Gauss are established. PRQ: MATH 300 or consent of instructor. Scheduled: Fall, even years. Meets: MNO.
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MATH 325 - Theory of Numbers
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MATH 331: Introduction to Complex Analysis
3.00 Credits
Rockford University
Topics include analytic functions, convergence, complex differentiation and integration, Cauchy's theorem, singularities and residues, harmonic functions, and conformal and univalent mappings. PRQ: MATH 232. Scheduled: Spring, odd years. Meets: MNO.
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MATH 331 - Introduction to Complex Analysis
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MATH 333: Advanced Calculus I Limits and Differentiation
3.00 Credits
Rockford University
Course provides students with an introduction to theoretical analysis by carefully re-examining the concepts and properties of limits and derivatives from calculus. Construction of mathematical proofs heavily emphasized. PRQ: MATH 232 or consent of instructor. Scheduled: Fall, odd years. Meets: MNO.
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MATH 333 - Advanced Calculus I Limits and Differentiation
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MATH 334: Advanced Calculus II Series and Integration
3.00 Credits
Rockford University
Course provides students with an introduction to theoretical analysis by carefully re-examining the concepts and properties of infinite series and integration from calculus. Construction of mathematical proofs heavily emphasized. PRQ: MATH 232 or consent of instructor. Scheduled: On request. Meets: MNO.
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MATH 334 - Advanced Calculus II Series and Integration
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MATH 350: Introduction to Higher Geometry
3.00 Credits
Rockford University
Finite geometries, projective geometry, Euclidean and non-Euclidean geometry. PRQ: MATH 300. Scheduled: Spring, odd years. Meets: MNO.
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MATH 350 - Introduction to Higher Geometry
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MATH 391: Independent Study:Mathematics
3.00 Credits
Rockford University
Independent study in mathematics. PRQ: Consent of instructor.
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MATH 391 - Independent Study:Mathematics
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MATH 399: Mathematics Transfer
0.00 Credits
Rockford University
Mathematics Transfer Meets: MNO
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MATH 399 - Mathematics Transfer
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MATH 401: History of Mathematics
0.00 Credits
Rockford University
Description: This course examines the origins and development of Mathematics and many of its component fields, such as number concepts, numeration systems, arithmetic and its algorithms, algebra, geometry (euclidean, non-euclidean, and analytic), trigonometry, calculus and probability. Great mathematicians and their contributions, great breakthroughs, and classic problems will also be studied. For Math 401, eleven essays (on assigned topics) per credit are required. Meets: None Scheduled: Every semester PRQ: None
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MATH 401 - History of Mathematics
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MATH 476: Special Topics in Mathematics
3.00 Credits
Rockford University
Special Topics in Mathematics
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MATH 476 - Special Topics in Mathematics
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MATH 491: Independent Study:Mathematics
3.00 Credits
Rockford University
Independent study in mathematics. PRQ: Consent of instructor.
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MATH 491 - Independent Study:Mathematics
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