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MATH 280: Introduction to Mathematical Reasoning
3.00 Credits
Northern Illinois University
An introduction to the idea of mathematical proof. Emphasis on improving students' ability to construct, explain, and justify mathematical arguments. Assists in the transition from the calculus sequence to more abstract, proof-oriented courses. Prerequisites & Notes PRQ: MATH 230. Credits: 3
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MATH 297: Directed Study
6.00 Credits
Northern Illinois University
Selected readings to supplement lowerdivision mathematical sciences courses. May be repeated to a maximum of 6 semester hours. Prerequisites & Notes PRQ: Consent of department. Credits: 1-3
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MATH 297 - Directed Study
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MATH 302: Introduction to Geometry
3.00 Credits
Northern Illinois University
Basic concepts in plane and solid geometry, measurement, congruence and similarity, constructions, coordinate geometry, transformations and tessellations, topology, and selected topics. Not used in major or minor GPA calculations for mathematical sciences majors or minors. Prerequisites & Notes PRQ: MATH 229 or consent of department. Credits: 3
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MATH 302 - Introduction to Geometry
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MATH 303: Introduction to Number Theory
3.00 Credits
Northern Illinois University
Problem solving, methods of proof, divisibility, primes, congruences, Diophantine equations, integer sequences, number-theoretic functions, and selected topics. Not used in major or minor GPA calculation for mathematical sciences majors or minors. Prerequisites & Notes PRQ: MATH 229 or consent of department. Credits: 3
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MATH 303 - Introduction to Number Theory
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MATH 304: History of Mathematics Through the 17th Century
3.00 Credits
Northern Illinois University
Mathematical developments from the ancients through the 17th century. Emphasis on the development of an interrelationship among special topics from arithmetic, algebra, geometry and calculus, across different cultures and through time. Not used in major or minor GPA calculation for mathematical sciences majors or minors. Prerequisites & Notes PRQ: MATH 229 or consent of department. Credits: 3
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MATH 304 - History of Mathematics Through the 17th Century
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MATH 334: Foundations of Applied Mathematics
3.00 Credits
Northern Illinois University
Solution techniques for ordinary differential equations. Topics include hyperbolic functions, Laplace transforms, Fourier series, partial differential equations, and special functions. Not open for credit to students who have received credit for MATH 336. Prerequisites & Notes PRQ: MATH 232. Credits: 4
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MATH 336: Ordinary Differential Equations
3.00 Credits
Northern Illinois University
Rudiments of the theory of ordinary differential equations and techniques of solution. Applications. Not available for credit to students who have received credit for MATH 334. Prerequisites & Notes PRQ: MATH 230. Credits: 3
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MATH 339: Engineering Mathematics I
3.00 Credits
Northern Illinois University
Constrained extrema, Lagrange multipliers. Calculus of variations. Fourier series. Introduction to partial differential equations and integral transforms. Multiple integrals. Line and surface integrals. Vector analysis. Functions of a complex variable. Applications. Prerequisites & Notes PRQ: ELE 210, MEE 211, MATH 232, and MATH 336. Credits: 3
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MATH 353: Geometry
3.00 Credits
Northern Illinois University
The study and development of geometric axiomatic systems. Topics selected from Hilbert's axioms for Euclidean geometry; projective, affine and Euclidean spaces over real vector spaces; convexity. Primarily intended for students preparing to teach mathematics. Prerequisites & Notes PRQ: MATH 240 or consent of department. Credits: 3
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MATH 360: Model Building in Applied Mathematics
3.00 Credits
Northern Illinois University
An introduction to the formulation, analysis and interpretation of mathematical models in the study of selected problems in the natural sciences, the social sciences, and management science. Not open for credit to students having credit in MATH or STAT courses numbered 420 or above, except by consent of department. Prerequisites & Notes PRQ: MATH 230. Credits: 3
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