Mathematics Courses

Courses for Mathematics
Mathematics (Subject Code: MATH)
404.  Interm Diff Eqns.  Advisory pre-requisite: MATH 216, 256, 286 or 316  (3 credits)
412.  Intro Mod Algebra.  Advisory pre-requisite: MATH 215, 255 or 285; and 217; only 1 credit after MATH 312  (3 credits)
416.  Theory Algorithms.  Advisory pre-requisite: [MATH 312, 412 or EECS 280] and MATH 465  (3 credits)
417.  Matrix Algebra I.  Advisory pre-requisite: Three courses beyond MATH 110  (3 credits)
419.  Lin Sp Matrx Thy.  Advisory pre-requisite: Four courses beyond MATH 110  (3 credits)
420.  Adv Linear Algebra.  Advisory pre-requisite: Linear algebra course (MATH 214, 217, 417, or 419) and one of MATH 296, 412, or 451  (3 credits)
422/BE 440.  Risk Mgt&Ins.  Advisory pre-requisite: MATH 115, junior standing, and permission of instructor.  (3 credits)
423.  Math of Finance.  Advisory pre-requisite: MATH 217 and 425; EECS 183 or equivalent.  (3 credits)
424.  Cmp Int&Life Ins.  Advisory pre-requisite: MATH 215, 255, or 285 or permission of instructor.  (3 credits)
425/STATS 425.  Intro Probabil.  Advisory pre-requisite: MATH 215  (3 credits)
427.  Retre Plans.  Advisory pre-requisite: Junior standing.  (3 credits)
431.  Geom-Teachers.  Required pre-requisite: (MATH 215, 255, or 285) and MATH 217; (C- or better)  (3 credits)
433.  Intro Diff Geom.  Advisory pre-requisite: MATH 215 (or 255 or 285), and 217  (3 credits)
450.  Adv Math Engrs I.  Required pre-requisite: No credit in MATH 354 or 454  Advisory pre-requisite: MATH 215, 255, or 285.  (4 credits)
451.  Adv Calculus I.  Advisory pre-requisite: Previous exposure to abstract mathematics, e.g. MATH 217 and 412  (3 credits)
452.  Adv Calculus II.  Advisory pre-requisite: MATH 217, 419, or 420; and MATH 451  (3 credits)
454.  Bndry Val Prob-Pde.  Required pre-requisite: No credit in MATH 354 or 450  Advisory pre-requisite: MATH 216, 256, 286 or 316  (3 credits)
462.  Math Models.  Advisory pre-requisite: MATH 216, 256, 286, or 316; and MATH 214, 217, 417, or 419. Students with credit for MATH 463 must have department permission to elect MATH 462  (3 credits)
463/BIOINF 463/BIOPHYS 463.  Math Model Biol.  Advisory pre-requisite: MATH 214, 217, 417, or 419; and MATH 216, 256, 286, or 316.  (3 credits)
464/BIOMEDE 464.  Inverse Problems.  Advisory pre-requisite: MATH,MATH 214, 217, 417, or 419; and MATH 216, 256, 286, or 316.  (3 credits)
465.  Intro Combinatorics.  Advisory pre-requisite: Linear Algebra (one of MATH 214, 217, 256, 286, 296, 417, or 419) or permission of instructor  (3 credits)
466/EEB 466.  Mathematical Ecology.  Advisory pre-requisite: MATH 217, 417, or 419; MATH 256, 286, or 316; and MATH 450 or 451  (3 credits)
471.  Intr Num Meth.  Advisory pre-requisite: MATH 216, 256, 286, or 316; and 214, 217, 417, or 419; and a working knowledge of one high-level computer language. No credit granted to those who have completed or are enrolled in MATH 371 or 472.  (3 credits)
472.  Num Meth Fin Appl.  Advisory pre-requisite: Differential Equations (MATH 216, 256, 286, or 316); Linear Algebra (MATH 214, 217, 417, or 419); working knowledge of a high-level computer language. Recommended: MATH 425  (3 credits)
475.  Number Theory I.  Advisory pre-requisite: At least three terms of college Mathematics are recommended.  (3 credits)
476.  Comp Lab No Thy.  Advisory pre-requisite: Prior or concurrent enrollment in MATH 475 or 575.  (1 credits)
481.  Intro Math Logic.  Advisory pre-requisite: MATH 412 or 451 or equivalent experience with abstract mathematics.  (3 credits)
485/EDUC 485.  Math Elem Sch Teach.  Advisory pre-requisite: One year of high school algebra or permission of the instructor.  (3 credits)
486.  Concepts Basic.  Required pre-requisite: (MATH 215 or 255 or 285) and MATH 217; (C- or better); or permission of instructor  (3 credits)
487.  Algebra Sec Teach.  Required pre-requisite: MATH 215 or 255 or 285 or 486; (C- or better)  (3 credits)
489.  Math Elem Mid Sch.  Required pre-requisite: MATH 385  (3 credits)
490.  Intro to Topology.  Advisory pre-requisite: MATH 451 or equivalent experience with abstract mathematics.  (3 credits)
493.  Honors Algebra I.  Advisory pre-requisite: MATH 296  (3 credits)
494.  Honors Algebra II.  Required pre-requisite: MATH 493; (C- or better)  (3 credits)
494.  Honors Algebra II.  Required pre-requisite: MATH 493; (C- or better)  (3 credits)
497.  Topics Elem Math.  Advisory pre-requisite: MATH 489 or permission of instructor.  (3 credits)
498.  Topics Mod Math.  Advisory pre-requisite: Senior Mathematics concentrators and Master Degree students in Mathematical disciplines.  (3 credits)
499.  Independent Reading.  Advisory pre-requisite: Graduate standing in a field other than Mathematics and permission of instructor.  (1 to 4 credits)
501.  AIM Student Sem.  Advisory pre-requisite: At least two 300 or above level math courses, and Graduate standing; Qualified undergraduates with permission of instructor only.  (1 credits)
506/IOE 506.  Analysis for Finance.  Advisory pre-requisite: Graduate students or permission of instructor.  (3 credits)
507.  Math Algo Trading.  (3 credits)
520.  Life Contin I.  Required pre-requisite: [MATH 424 and MATH/STATS 425; (C- or better)] and [AMMFRM or ACTU MATH subplan]  (3 credits)
521.  Life Contin II.  Required pre-requisite: MATH 520; C- or better  (3 credits)
523.  Loss Models I.  Required pre-requisite: MATH/STATS 425; (C- or better)  (3 credits)
524.  Loss Models II.  Required pre-requisite: STATS 426 and MATH 523  (3 credits)
525/STATS 525.  Probability.  Advisory pre-requisite: MATH 451 (strongly recommended). MATH 425/STATS 425 would be helpful.  (3 credits)
526/STATS 526.  Disc Stoc Proc.  Advisory pre-requisite: MATH 525 or STATS 525 or EECS 501  (3 credits)
528.  Casualty Insurance.  Advisory pre-requisite: MATH 217, 417, or 419.  (3 credits)
531.  Trans Groups Geom.  Advisory pre-requisite: MATH 451 or equivalent experience with abstract mathematics  (3 credits)
532.  Disc&Appl Geom.  Advisory pre-requisite: One of MATH 217, 417, 419 or 513.  (3 credits)
537.  Intro Diff Manifold.  Advisory pre-requisite: MATH 420, and 590 or 591  (3 credits)
540/BIOINF 540.  Math of Bio Networks.  (3 credits)
547/BIOINF 547/STATS 547.  Prob Mod Bioinf.  Advisory pre-requisite: MATH,Flexible, due to diverse backgrounds of intended audience. Basic probability (level of MATH/STATS 425), or molecular biology (level of BIOLOGY 427), or biochemistry (level of CHEM/BIOLCHEM 451), or basic programming skills desireable or permission  (3 credits)
548/STATS 548.  Comp Prob Mod Bio.  Advisory pre-requisite: MATH/STATS 425 or MCDB 427 or BIOLCHEM 415; basic programming skills desirable. Graduate standing and permission of instructor.  (1 credits)
550/CMPLXSYS 510.  Int Adpt Sys.  Advisory pre-requisite: MATH 215, 255, or 285; MATH 217; and MATH 425.  (3 credits)
552/PHYSICS 580/CMPLXSYS 520.  Nonlin Sys.  Advisory pre-requisite: Graduate standing, Enrollment in Certificate Program, and permission of instructor.  (3 credits)
555.  Complex Variables.  Advisory pre-requisite: MATH 451 or equivalent experience with abstract mathematics  (3 credits)
556.  Appl Fn Analysis.  Advisory pre-requisite: MATH 217, 419, or 420; MATH 451; and MATH 555  (3 credits)
557.  Appl Asymp Analysis.  Advisory pre-requisite: MATH 217, 419, or 420; MATH 451; and MATH 555  (3 credits)
558.  Appl Nonlinear Dyn.  Advisory pre-requisite: MATH 451  (3 credits)
559.  Topics Applied Math.  Advisory pre-requisite: MATH 451; and 217, 419, or 420  (3 credits)
561/IOE 510/TO 518.  Linear Pro I.  Advisory pre-requisite: MATH 217, 417, or 419  (3 credits)
562/IOE 511.  Cont Optimum Methods.  Advisory pre-requisite: MATH 217, 417, or 419.  (3 credits)
563/BIOINF 563.  Adv Math Biol.  Advisory pre-requisite: Graduate standing.  (3 credits)
564.  Topics Math Biology.  Advisory pre-requisite: (MATH 217 or 417 or 419) and (450 or 454) and (216 or 316).  (3 credits)
565.  Comb & Graph Theory.  Advisory pre-requisite: MATH 465  (3 credits)
566.  Combinatiorial Theo.  Advisory pre-requisite: MATH 465  (3 credits)
567.  Intro Coding Theory.  Advisory pre-requisite: One of MATH 217, 419, 420  (3 credits)
568/BIOINF 568.  Math & Comp Neurosci.  Required pre-requisite: MATH 462 or 463 or Graduate Standing  (3 credits)
571.  Num Lin Algebra.  Advisory pre-requisite: MATH 214, 217, 417, 419, or 420; and one of MATH 450, 451, or 454.  (3 credits)
572.  Num Mthd DE.  Advisory pre-requisite: MATH 214, 217, 417, 419, or 420; and one of MATH 450, 451, or 454.  (3 credits)
573.  Fin Math I.  (3 credits)
574.  Fin Math II.  Required pre-requisite: MATH 526 and 573; (C or better)  Advisory pre-requisite: Although MATH 506 is not a prerequisite for MATH 574, it is strongly recommended that either these courses are taken in parallel, or MATH 506 precedes MATH 574.  (3 credits)
575.  Theory of Nos I.  Advisory pre-requisite: MATH 451 and 420 or permission of instructor  (1 to 3 credits)
582.  Intro to Set Theory.  Advisory pre-requisite: MATH 412 or 451 or equivalent experience with abstract mathematics.  (3 credits)
583.  Prob Int Proofs.  Advisory pre-requisite: MATH 412, 451 or permission of instructor  (3 credits)
590.  Intr to Topology.  Advisory pre-requisite: MATH 451.  (3 credits)
591.  Differentiable Manif.  Advisory pre-requisite: MATH 451, 452 and 590  (3 credits)
592.  Intr Alg Topology.  Advisory pre-requisite: MATH 591.  (3 credits)
593.  Algebra I.  Advisory pre-requisite: MATH 412, 420, and 451 or MATH 494  (3 credits)
594.  Algebra II.  Advisory pre-requisite: MATH 593.  (3 credits)
596.  Analysis I.  Advisory pre-requisite: MATH 451.  (3 credits)
597.  Analysis II.  Advisory pre-requisite: MATH 451 and 420; or MATH 395  (3 credits)
597.  Analysis II.  Advisory pre-requisite: MATH 451 and 420  (3 credits)
602.  Real Analysis II.  Advisory pre-requisite: MATH 590 and 597.  (3 credits)
604.  Complex Analysis II.  Advisory pre-requisite: MATH 590 and 596.  (3 credits)
605.  Several Complex Var.  Advisory pre-requisite: MATH 596 and 597. Graduate standing.  (3 credits)
606.  Adv Stoch An.  Advisory pre-requisite: Strong background in Probability Theory (Math 625), Measure Theory, Real Analysis & Functional Analysis  (3 credits)
609.  Topics in Analysis.  Advisory pre-requisite: MATH 451. Graduate standing.  (3 credits)
612.  Algebra II.  Advisory pre-requisite: MATH 593 and 594; and Graduate standing.  (3 credits)
613.  Homological Algebra.  Advisory pre-requisite: MATH 590 and 594 or permission of instructor.  (3 credits)
614.  Commuta Algebra.  Advisory pre-requisite: MATH 593 and Graduate standing.  (3 credits)
615.  Commutative Alge II.  Advisory pre-requisite: MATH 614 or permission of instructor. Graduate standing.  (3 credits)
619.  Topics in Algebra.  Advisory pre-requisite: MATH 593 and Graduate standing.  (3 credits)
623/IOE 623.  Computationl Finance.  Advisory pre-requisite: MATH 316 and MATH 425 or 525.  (3 credits)
625/STATS 625.  Pro&Ran Pro I.  Advisory pre-requisite: MATH 597 and Graduate standing.  (3 credits)
626/STATS 626.  Pro&Ran Pro II.  Advisory pre-requisite: MATH 625/STATS 625 and Graduate standing.  (3 credits)
627/BIOSTAT 680.  Appl Stoc Proc.  Advisory pre-requisite: Graduate standing; BIOSTAT 601, 650, 602 and MATH 450.  (3 credits)
631.  Algebraic Geom I.  Advisory pre-requisite: MATH 594 or permission of instructor. Graduate standing.  (3 credits)
632.  Algebraic Geom II.  Advisory pre-requisite: MATH 631 and Graduate standing.  (3 credits)
635.  Differential Geom.  Advisory pre-requisite: MATH 537 or permission of instructor. Graduate standing.  (3 credits)
636.  Topics Diff Geom.  Advisory pre-requisite: MATH 635 and Graduate standing.  (3 credits)
637.  Lie Groups.  Advisory pre-requisite: MATH 635 and Graduate standing.  (3 credits)
638.  Int Representn Thry.  Advisory pre-requisite: MATH 597 and Graduate standing.  (3 credits)
650.  Fourier Analysis.  Advisory pre-requisite: MATH 596, 602, and Graduate standing.  (3 credits)
651.  Topics Appl Math I.  Advisory pre-requisite: MATH 451, 555 and one other 500-level course in analysis or differential equations. Graduate standing.  (3 credits)
654.  Intro Fluid Dynam.  Advisory pre-requisite: MATH 450; MATH 555 or 596; and MATH 454 or 556. Graduate standing.  (3 credits)
655.  Topics Fluid Dynam.  Advisory pre-requisite: MATH 555, 556, 557, 558, or permission of instructor. Graduate standing.  (3 credits)
656.  Intro to PDEs.  Advisory pre-requisite: MATH 558, 596 and 597 or permission of instructor. Graduate standing.  (3 credits)
657.  Nonlin Part Diff Eq.  Advisory pre-requisite: MATH 656.  (3 credits)
658.  Ordinary Diff Equat.  Advisory pre-requisite: A course in differential equations (e.g., MATH 404 or 558). Graduate standing.  (3 credits)
660/IOE 610.  Linear Prog II.  Advisory pre-requisite: MATH 561 and Graduate standing.  (3 credits)
663/IOE 611.  Nonlin Prog.  Advisory pre-requisite: MATH,MATH 561  (3 credits)
664.  Combinatorl Thry I.  Advisory pre-requisite: MATH 512 and Graduate standing.  (3 credits)
665.  Combinator Thry I I.  Advisory pre-requisite: MATH 664 or equivalent. Graduate standing.  (3 credits)
667.  Topics Coding Thry.  Advisory pre-requisite: MATH 593, 594, and Graduate standing.  (3 credits)
669.  Combinatorial Theory.  Advisory pre-requisite: MATH 565, 566, or 664; and Graduate standing.  (3 credits)
671.  Numerical Meth I.  Advisory pre-requisite: MATH. 571, 572, or permission of instructor. Graduate standing.  (3 credits)
675.  Analytic Theo Nos.  Advisory pre-requisite: MATH 575, 596, and Graduate standing.  (3 credits)
676.  Theory Alg Numbers.  Advisory pre-requisite: MATH 575, 594, and Graduate standing.  (3 credits)
677.  Diophantine Problems.  Advisory pre-requisite: MATH 575 and Graduate standing.  (3 credits)
678.  Modular Forms.  Advisory pre-requisite: MATH 575, 596, and Graduate standing.  (3 credits)
679.  Elliptic Curves.  Advisory pre-requisite: MATH 594 and Graduate standing.  (3 credits)
681.  Mathematical Logic.  Advisory pre-requisite: Mathematical maturity appropriate for a 600-level MATH course. Graduate standing.  (3 credits)
682.  Set Theory.  Advisory pre-requisite: MATH 681 or equivalent.  (3 credits)
683.  Model Theory.  Advisory pre-requisite: MATH 681 or equivalent.  (3 credits)
684.  Recursion Theory.  Advisory pre-requisite: MATH 681 or equivalent.  (3 credits)
690.  Topological Groups.  Advisory pre-requisite: MATH 590 and Graduate standing.  (3 credits)
694.  Diff Topology II.  Advisory pre-requisite: MATH,MATH 337 and 591 or permission of instructor.  (3 credits)
695.  Algebraic Top I.  Advisory pre-requisite: MATH 591 or permission of instructor. Graduate standing.  (3 credits)
696.  Algebraic Top II.  Advisory pre-requisite: MATH 695 or permission of instructor.  (3 credits)
697.  Topics in Topology.  Advisory pre-requisite: Graduate standing.  (2 to 3 credits)
700.  Dir Read-Research.  Advisory pre-requisite: Graduate standing and permission of instructor.  (1 to 3 credits)
701.  Functional Anal I.  Advisory pre-requisite: MATH 602.  (3 credits)
702.  Functional Anal II.  Advisory pre-requisite: MATH 602; and MATH 701 is sometimes required.  (3 credits)
703.  Complex Function I.  Advisory pre-requisite: MATH 604 and Graduate standing.  (3 credits)
704.  Complex Func II.  Advisory pre-requisite: MATH 703 and Graduate standing.  (3 credits)
709.  Topics Mod Analys I.  Advisory pre-requisite: MATH 597 and Graduate standing.  (3 credits)
710.  Topcs Mod Analys II.  Advisory pre-requisite: MATH 597 and Graduate standing.  (3 credits)
711.  Adv Algebra.  Advisory pre-requisite: MATH 594 or 612 or permission of instructor. Graduate standing.  (3 credits)
715.  Adv Topics-Algebra.  Advisory pre-requisite: MATH 594, 612, and Graduate standing.  (3 credits)
725/STATS 725.  Top Adv Pro I.  Advisory pre-requisite: STATS,MATH/STATS 626 and Graduate standing.  (3 credits)
731.  Topics Alg Geom I.  Advisory pre-requisite: Graduate standing.  (3 credits)
732.  Topics Alg Geom II.  Advisory pre-requisite: MATH 631 or 731.  (3 credits)
756.  Adv Part Diff Equat.  Advisory pre-requisite: MATH 597 and Graduate standing.  (3 credits)
775.  Number Theory.  Advisory pre-requisite: MATH 675.  (3 credits)
776.  Topics Alg Num Thry.  Advisory pre-requisite: MATH 676 and Graduate standing.  (3 credits)
777.  Top-Diophantine Pro.  Advisory pre-requisite: MATH 677 and Graduate standing.  (3 credits)
778.  Auto Forms&Num Thry.  Advisory pre-requisite: MATH 678 and Graduate standing.  (3 credits)
781.  Topics Math Logic.  Advisory pre-requisite: MATH,Varies according to content.  (3 credits)
795.  Adv Top Alg Topo I.  Advisory pre-requisite: Graduate standing.  (3 credits)
797.  Adv Topics Topology.  Advisory pre-requisite: Graduate standing and permission of instructor.  (3 credits)
821.  Actuarial Math.  (1 credits)
826.  Probability II.  Advisory pre-requisite: Graduate standing.  (1 credits)
929.  Internship.  (1 credits)
990.  Diss-Precand.  Advisory pre-requisite: Election for dissertation work by doctoral student not yet admitted as a Candidate. Graduate standing.  (1 to 8 credits)
993.  G S I Training.  Advisory pre-requisite: Graduate standing and appointment as GSI in Mathematics Department.  (1 credits)
995.  Diss-Cand.  Required pre-requisite: Candidate  (4 or 8 credits)