| 403/DATASCI 403. Intro Discrete Maths. Advisory pre-requisite: Linear Algebra (one of MATH 214, 217, 286, 296, 417, or 419) or instructor permission. (3 credits) |
| 404. Interm Diff Eqns. Advisory pre-requisite: MATH 216, 256, 286 or 316 (3 credits) |
| 412. Intro Mod Algebra. Advisory pre-requisite: MATH 205, 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 425 or 525 and MATH 217; EECS 183 or equivalent. (3 credits) |
| 424. Math Interest Theory. Advisory pre-requisite: MATH 205, 215, 255, or 285 or permission of instructor. (3 credits) |
| 425/STATS 425. Intro Probabil. Advisory pre-requisite: MATH 205, 215, or 285 (3 credits) |
| 427. Retre Plans. Advisory pre-requisite: Junior standing. (3 credits) |
| 431. Euclidean Geometry. Required pre-requisite: (MATH 205 or 215 or 255 or 285) and MATH 217; (C- or better); or Graduate standing (3 credits) |
| 433. Intro Diff Geom. Advisory pre-requisite: MATH 205, 215, or 285; and 217 (3 credits) |
| 440. Lab of Geometry. Advisory pre-requisite: MATH 205, 215, or 285 (3 credits) |
| 445/PHYSICS 445/CMPLXSYS 445/BIOPHYS 445. Intro to Info Theory. Advisory pre-requisite: MATH 425/STATS 425 (3 credits) |
| 450. Adv Math Engrs I. Required pre-requisite: No credit in MATH 354 or 454 Advisory pre-requisite: MATH 205, 215, or 285; AND MATH 216 or MATH 286 or MATH 316 (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/CMPLXSYS 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 or 525 (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 205 or 215 or 255 or 285) and MATH 217; (C-) or better (3 credits) |
| 487. Algebra Sec Teach. Required pre-requisite: MATH 486 or [(MATH 205 or 215 or 285) and 217; (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) |
| 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. Analysis for Finance. Advisory pre-requisite: Graduate students or permission of instructor. (3 credits) |
| 507. Math Algo Trading. (3 credits) |
| 511/CMPLXSYS 511. Theory of CMPLXSYS. (3 credits) |
| 520. Life Contin I. Required pre-requisite: [(MATH 425 or 525) and MATH 424]; (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 or 525; (C- or better) (3 credits) |
| 524. Loss Models II. Required pre-requisite: STATS 426 and MATH 523 (3 credits) |
| 525/STATS 525. Probability Theory. Required pre-requisite: [(MATH 205 or 215 or 285) and (351 or 451)] or graduate standing (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) |
| 538. Lie Algebras. Advisory pre-requisite: Algebra: (MATH 493, 494) or (MATH 593, 594). Intended for advanced math undergraduates, math master's, and math PhDs. (Primarily graduate students). (3 credits) |
| 540/BIOINF 540. Math of Bio Networks. (3 credits) |
| 547/STATS 547/BIOINF 547. Mathematics of Data. Advisory pre-requisite: Basic probability (level of MATH/STATS 425 or MATH/STATS 525), or molecular biology (level of BIOLOGY 427), or biochemistry (level of CHEM/BIOLCHEM 451), or basic programming skills desirable 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 205, 215, 255, or 285; MATH 217; and MATH 425 or 525. (3 credits) |
| 551. Intro Real Analysis. Advisory pre-requisite: MATH 451 & 452, OR MATH 295 & 296; AND abstract linear algebra such as MATH 217. This course is intended for Math undergraduates & masters students, non-math graduates & non-math undergraduates. (3 credits) |
| 552/CMPLXSYS 520/PHYSICS 580. 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) |
| 576. Alg Num Theory. Advisory pre-requisite: Abstract algebra (groups, rings, field, Galois theory), linear algebra (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. This course is intended for Math PhD students. (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) |
| 607. Adv Top Fin Math. (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. 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) |
| 628. Machine Learn Fin I. Required pre-requisite: Quantitative Finance & Risk Management MS (Including AMDP) (2 credits) |
| 629. Mach Learn Fin II. Required pre-requisite: Quantitative Finance & Risk Management MS student and MATH 628 (2 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. (3 credits) |
| 636. Topics Diff Geom. Advisory pre-requisite: MATH 635 and Graduate standing. (3 credits) |
| 637. Lie Groups. Advisory pre-requisite: Topology (at least one undergraduate class), Algebra (MATH 493/494 or 593/594), Analysis (at least one undergraduate class) (3 credits) |
| 638. Algebraic Groups. Advisory pre-requisite: Algebraic geometry (MATH 631) (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 or equivalent (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) |
| 668. Adv Combinatorics. Advisory pre-requisite: MATH 565 or 566; 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. Class Field Theory. (3 credits) |
| 677. Arithmetic Geometry. Advisory pre-requisite: Algebra, algebraic number theory, and algebraic geometry (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) |
| 738. Topics Rep Thy. Advisory pre-requisite: Lie algebra, Lie groups, algebraic groups (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: Algebra, Algebraic number theory (3 credits) |
| 777. Topics Arith Geom. Advisory pre-requisite: Algebra, algebraic number theory, algebraic geometry. Intended for Math PhDs. (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) |
