| Old Course # |
Course Title |
New Course # |
Prerequisites |
Cross-listed Courses |
Cross-Level Courses |
| 5 |
Intermediate Algebra |
0110 |
placement |
|
|
| 9 |
Trigonometry |
1140 |
1100 or 1120 |
|
|
| 10A |
College Algebra |
1100 |
placement |
|
|
| 10B |
College Algebra |
1120 |
placement |
|
|
| 14 |
Precalculus Mathematics |
1160 |
placement |
|
|
| 15 |
Elementary Functions |
1180 |
placement |
|
|
| 60 |
Finite Mathematics |
1300 |
1100 or 1120 |
|
|
| 61 |
Elements of Calculus |
1320 |
1100 |
|
|
| 67 |
Algebra & Number Systems for Teachers |
1340 |
1100 or 1120 |
|
|
| 68 |
Geometric Concepts |
1360 |
1100 or 1120 |
|
|
| 80 |
Analytic Geometry & Calculus I |
1500 |
1160 |
|
|
| 101 |
Selected Topics in Mathematics |
1601 or 1602 |
instructor's consent |
|
|
| 108 |
Calculus for Social and Natural Sciences |
1400 |
1100 |
|
|
| 155 |
Mathematics of Finance |
1380 |
1100 or 1120 |
|
|
| 175 |
Calculus II |
1700 |
1500 |
|
|
| 201 |
Calculus III |
2300 |
1700 |
|
|
| 205 |
Calculus for Business & Economics |
delete |
|
|
|
| 208 |
Calculus for Social and Natural Sciences II |
2100 |
1300 or 1400 |
|
|
| 226 |
Discrete Math Structures |
2320 |
one of 1700, 2340, 2140 |
|
|
| 231 |
Elementary Matrix Algebra w/ Applications |
2120 |
one of 1320. 1300, 1340, or 1500 |
|
|
| 233 |
Algebraic Structures |
2340 |
1340 and one of 1300 or 2120 |
|
|
| 250 |
Elementary Logic and Set Theory |
2500 |
one of 2300, 2120, or 2340 |
|
|
| 260 |
Geometric Axioms and Structures |
2140 |
1340 or 1360 |
|
|
| 298 |
Honors |
4996 |
|
|
7996 |
| 299 |
Honors |
delete |
|
|
|
| 301 |
Topics |
4001 or 4002 |
2300 and instructor's consent |
|
7001 |
| 302 |
Advanced Calculus with Applications |
4110 |
2300 |
|
7110 |
| 304 |
Differential Equations |
4100 |
2300 |
|
7100 |
| 305 |
Introduction to Complex Variables |
4940 |
4110 or 4700 |
|
7940 |
| 307 |
Numerical Analysis |
4300 |
2300 and familiarity with softwares such as Mathematica or MatLab or Maple, etc. |
CS 4300/7300 |
7300 |
| 308 |
Numerical Linear Algebra |
4310 |
2300 and prior experience writing programs in Mathematica and/or in a computer language such as fortran, Pascal, or C. Recommended: 4140. |
CS 4310/7310 |
7310 |
| 309 |
Applied Analysis |
4500 |
4100 |
|
7500 |
| 310 |
Advanced Calculus I |
4700 |
2300. Recommended: 4140 and one other math course numbered above 4000. |
|
7700 |
| 311 |
Advanced Calculus II |
4900 |
4700 or equivalent |
|
7900 |
| 314 |
Mathematical Modeling I |
4540 |
1500, 1700, 2300, 4100, 4140 |
|
7540 |
| 315 |
Mathematical Modeling II |
4580 |
1500, 1700, 2300, 4100, 4140 |
|
7580 |
| 316 |
Chaos & Fractal |
4560 |
4100 and 4140 and familiarity with softwares such as Mathematica or MatLab or Maples, etc. |
|
7560 |
| 317 |
Investment Science I |
4355 |
|
|
7355 |
| 318 |
Investment Science II |
4590 |
|
|
7590 |
| 319 |
Actuarial Mathematics |
4360 |
|
|
7360 |
| 320 |
Introduction to Mathematical Statistics |
4315 |
2300 or instructor's consent |
STAT 4710 |
7315 |
| 325 |
Introduction to Probability Theory |
4320 |
2300 or instructor's consent |
STAT 4750 |
7320 |
| 326 |
Statistical Inference |
4520 |
4320 |
STAT 4751 |
7520 |
| 327 |
Combinatorics |
4120 |
2320, 4140, or instructor's consent |
|
7120 |
| 330 |
Theory of Equations |
4130 |
2300 or 2320 |
|
7130 |
| 331 |
Matrix Theory |
4140 |
one of 2300, 2320, 2120 or 2340 |
|
7140 |
| 332 |
Linear Programming |
4325 |
4140 or instructor's consent |
|
7325 |
| 333 |
Higher Algebra |
4510 |
2300 or 2320 |
|
7510 |
| 335 |
Theory of Numbers |
4330 |
2300 or 2320 |
|
7330 |
| 340 |
Introduction to Abstract Algebra I |
4720 |
2300. Recommended: 4140 and one other math courses numbered above 4000 |
|
7720 |
| 341 |
Introduction to Abstract Linear Algebra |
4920 |
4720 |
|
7920 |
| 349 |
Applied Modern Algebra |
4530 |
2300 or 2320, and the ability to program in a high level language such as Fortran, Pascal or C |
|
7530 |
| 350 |
Special Readings |
4960 |
2300 and instructor's consent |
|
7960 |
| 353 |
Fluid Dynamics and Geophysical Applications |
4570 |
2300 and instructor's consent |
|
7570 |
| 355 |
History of Mathematics |
4150 |
Prerequisite or co-requisite: 2300 or 2340 |
|
7150 |
| 358 |
Mathematical Logic |
4160 |
junior or senior standing, and interest in mathematics or philosophy |
|
7160 |
| 360 |
College Geometry |
4335 |
2300 |
|
7335 |
| 362 |
Projective Geometry |
4340 |
2300 |
|
7340 |
| 366 |
Foundations of Geometry |
4345 |
2300 |
|
7345 |
| 367 |
Introduction to Non Euclidean Geometry |
4350 |
2300 |
|
7350 |
| 372 |
Introduction to Topology |
4400 |
2300 |
|
7400 |
| 390 |
Senior Seminar |
4970 |
12 hours of math courses numbered 4000 or above |
|
7970 |
| 395 |
Mathematics Problem Solving |
4980 |
4140 and another 4000 level math course, or instructor's consent |
|
7980 |
| 400 |
Problems |
8085 |
|
|
|
| 401 |
Basic Analysis |
8220 |
4700, 4900, 4940, instructor's consent or equivalent. Co-requisite: 8210, 8250 |
|
|
| 402 |
Basic Algebra |
8210 |
4720, 4920, instructor's consent or equivalent. Co-requisite: 8220, 8250 |
|
|
| 403 |
Basic Geometry/Topology |
8250 |
4700, 4900, 4940, instructor's consent or equivalent. Co-requisite: 8210, 8220 |
|
|
| 404 |
Theory of Functions of Real Variables I |
8420 |
4700 and 4900, or equivalent |
|
|
| 405 |
Theory of Functions of Real Variables II |
8421 |
8420 |
|
|
| 407 |
Partial Differential Equations I |
8445 |
4500 or instructor's consent |
|
|
| 408 |
Partial Differential Equations II |
8446 |
8445, 8420 recommended |
|
|
| 409 |
Functional Analysis I |
8628 |
4900 or 8420, and instructor's consent |
|
|
| 410 |
Functional Analysis II |
8629 |
8628 |
|
|
| 412 |
Calculus of Variations I |
8442 |
instructor's consent |
|
|
| 413 |
Complex Analysis I |
8425 |
4900 or equivalent |
|
|
| 414 |
Complex Analysis II |
8426 |
8425 |
|
|
| 415 |
Harmonic Analysis I |
8630 |
8420 |
|
|
| 416 |
Harmonic Analysis II |
8631 |
8630 |
|
|
| 418 |
Nonlinear Differential Equations |
8642 |
4100 and 4110 or 4700 |
|
|
| 420 |
Topological Dynamics |
8644 |
8420 |
|
|
| 422 |
Numerical Solution of Partial Differential Equations |
8675 |
4140, 4110, 4700 or instructor's consent |
|
|
| 423 |
Advanced Numerical Analysis |
8470 |
4700, 4300 or equivalent, and 4140 |
|
|
| 424 |
Advanced Numerical Linear Algebra |
8670 |
4700, 4300 or 4310, and 4140, or instructor's consent |
|
|
| 426 |
Advanced Ordinary Differential Equations I |
8440 |
4700 or equivalent |
|
|
| 427 |
Advanced Ordinary Differential Equations II |
8441 |
8440 |
|
|
| 430 |
Topics from Algebra |
Delete |
|
|
|
| 432 |
Algebra I |
8410 |
4720 and 4920, or equivalent |
|
|
| 433 |
Algebra II |
8411 |
8410 or equivalent |
|
|
| 434 |
Topics in Algebra |
8102 |
8410 |
|
|
| 435 |
Algebraic Geometry I |
8615 |
8410 |
|
|
| 436 |
Algebraic Geometry II |
8616 |
8615 |
|
|
| 440 |
Advanced Probability |
8480 |
4320 or 8220, or instructor's consent |
STAT 9810 |
|
| 441 |
Stochastic Processes |
8680 |
8480 |
STAT 9820 |
|
| 445 |
Advanced Mathematics for the Physical Sciences |
8648 |
instructor's consent, 4110, 4700 |
|
|
| 448 |
Topics in Numerical Mathematics |
9702 |
instructor's consent |
|
|
| 449 |
Topics in Applied Mathematics |
8702 |
|
|
|
| 456 |
Differentiable Manifolds and Riemannian Geometry |
8650 |
4700 or 4400 |
|
|
| 457 |
Differential Geometry for Scientists and Engineers |
8450 |
4110 and some knowledge of matrix theory |
|
|
| 458 |
Differential Geometry I |
7620 |
2300 |
|
|
| 460 |
Topics in Geometry |
8502 |
instructor's consent |
|
|
| 468 |
General Topology I |
8655 |
4900, 4400 or instructor's consent |
|
|
| 469 |
General Topology II |
8656 |
8655 |
|
|
| 470 |
Introduction to Algebraic Topology |
8618 |
8655 |
|
|
| 479 |
Topics in Topology |
9502 |
|
|
|
| 480 |
Analysis Seminar |
9887 |
|
|
|
| 482 |
Algebra Seminar |
9187 |
|
|
|
| 484 |
Geometry Seminar |
9587 |
|
|
|
| 486 |
Topology Seminar |
8587 |
|
|
|
| 487 |
Numerical Mathematics Seminar |
8787 |
|
|
|
| 488 |
Applied Mathematics Seminar |
9787 |
|
|
|
| 489 |
Master's Project in Mathematics |
8190 |
|
|
|
| 490 |
Research |
9090 |
|
|
|
| new |
Introduction to Analysis I |
1800 |
|
|
|
| new |
Introduction to Analysis II |
1900 |
|
|
|
| new |
Connecting Geometry to Middle and Secondary Schools |
7060 |
|
|
|
| new |
Connecting Calculus to Middle and Secondary Schools |
7080 |
|
|
|
| new |
Master's Thesis in Mathematics |
8090 |
|
|
|
| new |
Topics in Functional Analysis |
8202 |
|
|
|
| new |
Topics in Harmonic Analysis |
8302 |
|
|
|
| new |
Topics in Mathematical Physics |
8402 |
|
|
|
| new |
Topics in Financial Mathematics |
8602 |
|
|
|
| new |
Functional Analysis Seminar |
9287 |
|
|
|
| new |
Harmonic Analysis Seminar |
9387 |
|
|
|
| new |
Mathematical Physics Seminar |
9487 |
|
|
|
| new |
Financial Mathematics Seminar |
9687 |
|
|
|
| New Course # |
Course Title |
Old Course # |
Prerequisites |
Cross-listed
Courses |
Cross-Level
Courses |
| 110 |
Intermediate Algebra |
5 |
placement |
|
|
| 1100 |
College Algebra |
10A |
placement |
|
|
| 1120 |
College Algebra |
10B |
placement |
|
|
| 1140 |
Trigonometry |
9 |
1100 or 1120 |
|
|
| 1160 |
Precalculus Mathematics |
14 |
placement |
|
|
| 1180 |
Elementary Functions |
15 |
placement |
|
|
| 1300 |
Finite Mathematics |
60 |
1100 or 1120 |
|
|
| 1320 |
Elements of Calculus |
61 |
1100 |
|
|
| 1340 |
Algebra & Number Systems for Teachers |
67 |
1100 or 1120 |
|
|
| 1360 |
Geometric Concepts |
68 |
1100 or 1120 |
|
|
| 1380 |
Mathematics of Finance |
155 |
1100 or 1120 |
|
|
| 1400 |
Calculus for Social and Natural Sciences |
108 |
1100 |
|
|
| 1500 |
Analytic Geometry & Calculus I |
80 |
1160 |
|
|
| 1601 or 1602 |
Selected Topics in Mathematics |
101 |
instructor's consent |
|
|
| 1700 |
Calculus II |
175 |
1500 |
|
|
| 1800 |
Introduction to Analysis I |
new |
|
|
|
| 1900 |
Introduction to Analysis II |
new |
|
|
|
| 2100 |
Calculus for Social and Natural Sciences II |
208 |
1300 or 1400 |
|
|
| 2120 |
Elementary Matrix Algebra w/ Applications |
231 |
one of 1320. 1300, 1340, or 1500 |
|
|
| 2140 |
Geometric Axioms and Structures |
260 |
1340 or 1360 |
|
|
| 2300 |
Calculus III |
201 |
1700 |
|
|
| 2320 |
Discrete Math Structures |
226 |
one of 1700, 2340, 2140 |
|
|
| 2340 |
Algebraic Structures |
233 |
1340 and one of 1300 or 2120 |
|
|
| 2500 |
Elementary Logic and Set Theory |
250 |
one of 2300, 2120, or 2340 |
|
|
| 4001 or 4002 |
Topics |
301 |
2300 and instructor's consent |
|
7001 |
| 4100 |
Differential Equations |
304 |
2300 |
|
7100 |
| 4110 |
Advanced Calculus with Applications |
302 |
2300 |
|
7110 |
| 4120 |
Combinatorics |
327 |
2320, 4140, or instructor's consent |
|
7120 |
| 4130 |
Theory of Equations |
330 |
2300 or 2320 |
|
7130 |
| 4140 |
Matrix Theory |
331 |
one of 2300, 2320, 2120 or 2340 |
|
7140 |
| 4150 |
History of Mathematics |
355 |
Prerequisite or co-requisite: 2300 or 2340 |
|
7150 |
| 4160 |
Mathematical Logic |
358 |
junior or senior standing, and interest in mathematics or philosophy |
|
7160 |
| 4300 |
Numerical Analysis |
307 |
2300 and familiarity with softwares such as Mathematica or MatLab or Maple, etc. |
CS 4300/7300 |
7300 |
| 4310 |
Numerical Linear Algebra |
308 |
2300 and prior experience writing programs in Mathematica and/or in a computer language such as fortran, Pascal, or C. Recommended: 4140. |
CS 4310/7310 |
7310 |
| 4315 |
Introduction to Mathematical Statistics |
320 |
2300 or instructor's consent |
STAT 4710 |
7315 |
| 4320 |
Introduction to Probability Theory |
325 |
2300 or instructor's consent |
STAT 4750 |
7320 |
| 4325 |
Linear Programming |
332 |
4140 or instructor's consent |
|
7325 |
| 4330 |
Theory of Numbers |
335 |
2300 or 2320 |
|
7330 |
| 4335 |
College Geometry |
360 |
2300 |
|
7335 |
| 4340 |
Projective Geometry |
362 |
2300 |
|
7340 |
| 4345 |
Foundations of Geometry |
366 |
2300 |
|
7345 |
| 4350 |
Introduction to Non Euclidean Geometry |
367 |
2300 |
|
7350 |
| 4355 |
Investment Science I |
317 |
|
|
7355 |
| 4360 |
Actuarial Mathematics |
319 |
|
|
7360 |
| 4400 |
Introduction to Topology |
372 |
2300 |
|
7400 |
| 4500 |
Applied Analysis |
309 |
4100 |
|
7500 |
| 4510 |
Higher Algebra |
333 |
2300 or 2320 |
|
7510 |
| 4520 |
Statistical Inference |
326 |
4320 |
STAT 4751 |
7520 |
| 4530 |
Applied Modern Algebra |
349 |
2300 or 2320, and the ability to program in a high level language such as Fortran, Pascal or C |
|
7530 |
| 4540 |
Mathematical Modeling I |
314 |
1500, 1700, 2300, 4100, 4140 |
|
7540 |
| 4560 |
Chaos & Fractal |
316 |
4100 and 4140 and familiarity with softwares such as Mathematica or MatLab or Maples, etc. |
|
7560 |
| 4570 |
Fluid Dynamics and Geophysical Applications |
353 |
2300 and instructor's consent |
|
7570 |
| 4580 |
Mathematical Modeling II |
315 |
1500, 1700, 2300, 4100, 4140 |
|
7580 |
| 4590 |
Investment Science II |
318 |
|
|
7590 |
| 4700 |
Advanced Calculus I |
310 |
2300. Recommended: 4140 and one other math course numbered above 4000. |
|
7700 |
| 4720 |
Introduction to Abstract Algebra I |
340 |
2300. Recommended: 4140 and one other math courses numbered above 4000 |
|
7720 |
| 4900 |
Advanced Calculus II |
311 |
4700 or equivalent |
|
7900 |
| 4920 |
Introduction to Abstract Linear Algebra |
341 |
4720 |
|
7920 |
| 4940 |
Introduction to Complex Variables |
305 |
4110 or 4700 |
|
7940 |
| 4960 |
Special Readings |
350 |
2300 and instructor's consent |
|
7960 |
| 4970 |
Senior Seminar |
390 |
12 hours of math courses numbered 4000 or above |
|
7970 |
| 4980 |
Mathematics Problem Solving |
395 |
4140 and another 4000 level math course, or instructor's consent |
|
7980 |
| 4996 |
Honors |
298 |
|
|
7996 |
| 7060 |
Connecting Geometry to Middle and Secondary Schools |
new |
|
|
|
| 7080 |
Connecting Calculus to Middle and Secondary Schools |
new |
|
|
|
| 7620 |
Differential Geometry I |
458 |
2300 |
|
|
| 8085 |
Problems |
400 |
|
|
|
| 8090 |
Master's Thesis in Mathematics |
489 |
|
|
|
| 8102 |
Topics in Algebra |
434 |
8410 |
|
|
| 8190 |
Master's Project in Mathematics |
new |
|
|
|
| 8202 |
Topics in Functional Analysis |
new |
|
|
|
| 8210 |
Basic Algebra |
402 |
4720, 4920, instructor's consent or equivalent. Co-requisite: 8220, 8250 |
|
|
| 8220 |
Basic Analysis |
401 |
4700, 4900, 4940, instructor's consent or equivalent. Co-requisite: 8210, 8250 |
|
|
| 8250 |
Basic Geometry/Topology |
403 |
4700, 4900, 4140, instructor's consent or equivalent. Co-requisite: 8210, 8220 |
|
|
| 8302 |
Topics in Harmonic Analysis |
new |
|
|
|
| 8402 |
Topics in Mathematical Physics |
new |
|
|
|
| 8410 |
Algebra I |
432 |
4720 and 4920, or equivalent |
|
|
| 8411 |
Algebra II |
433 |
8410 or equivalent |
|
|
| 8420 |
Theory of Functions of Real Variables I |
404 |
4700 and 4900, or equivalent |
|
|
| 8421 |
Theory of Functions of Real Variables II |
405 |
8420 |
|
|
| 8425 |
Complex Analysis I |
413 |
4900 or equivalent |
|
|
| 8426 |
Complex Analysis II |
414 |
8425 |
|
|
| 8440 |
Advanced Ordinary Differential Equations I |
426 |
4700 or equivalent |
|
|
| 8441 |
Advanced Ordinary Differential Equations II |
427 |
8440 |
|
|
| 8442 |
Calculus of Variations I |
412 |
instructor's consent |
|
|
| 8445 |
Partial Differential Equations I |
407 |
4500 or instructor's consent |
|
|
| 8446 |
Partial Differential Equations II |
408 |
8445, 8420 recommended |
|
|
| 8450 |
Differential Geometry for Scientists and Engineers |
457 |
4110 and some knowledge of matrix theory |
|
|
| 8470 |
Advanced Numerical Analysis |
423 |
4700, 4300 or equivalent, and 4140 |
|
|
| 8480 |
Advanced Probability |
440 |
4320 or 8220, or instructor's consent |
STAT 9810 |
|
| 8502 |
Topics in Geometry |
460 |
instructor's consent |
|
|
| 8587 |
Topology Seminar |
486 |
|
|
|
| 8602 |
Topics in Financial Mathematics |
new |
|
|
|
| 8615 |
Algebraic Geometry I |
435 |
8410 |
|
|
| 8616 |
Algebraic Geometry II |
436 |
8615 |
|
|
| 8618 |
Introduction to Algebraic Topology |
470 |
8655 |
|
|
| 8628 |
Functional Analysis I |
409 |
4900 or 8420, and instructor's consent |
|
|
| 8629 |
Functional Analysis II |
410 |
8628 |
|
|
| 8630 |
Harmonic Analysis I |
415 |
8420 |
|
|
| 8631 |
Harmonic Analysis II |
416 |
8630 |
|
|
| 8642 |
Nonlinear Differential Equations |
418 |
4100 and 4110 or 4700 |
|
|
| 8644 |
Topological Dynamics |
420 |
8420 |
|
|
| 8648 |
Advanced Mathematics for the Physical Sciences |
445 |
instructor's consent, 4110, 4700 |
|
|
| 8650 |
Differentiable Manifolds and Riemannian Geometry |
456 |
4700 or 4400 |
|
|
| 8655 |
General Topology I |
468 |
4900, 4400 or instructor's consent |
|
|
| 8656 |
General Topology II |
469 |
8655 |
|
|
| 8670 |
Advanced Numerical Linear Algebra |
424 |
4700, 4300 or 4310, and 4140, or instructor's consent |
|
|
| 8675 |
Numerical Solution of Partial Differential Equations |
422 |
4140, 4110, 4700 or instructor's consent |
|
|
| 8680 |
Stochastic Processes |
441 |
8480 |
STAT 9820 |
|
| 8702 |
Topics in Applied Mathematics |
449 |
|
|
|
| 8787 |
Numerical Mathematics Seminar |
487 |
|
|
|
| 9090 |
Research |
490 |
|
|
|
| 9187 |
Algebra Seminar |
482 |
|
|
|
| 9287 |
Functional Analysis Seminar |
new |
|
|
|
| 9387 |
Harmonic Analysis Seminar |
new |
|
|
|
| 9487 |
Mathematical Physics Seminar |
new |
|
|
|
| 9502 |
Topics in Topology |
479 |
|
|
|
| 9587 |
Geometry Seminar |
484 |
|
|
|
| 9687 |
Financial Mathematics Seminar |
new |
|
|
|
| 9702 |
Topics in Numerical Mathematics |
448 |
instructor's consent |
|
|
| 9787 |
Applied Mathematics Seminar |
488 |
|
|
|
| 9887 |
Analysis Seminar |
480 |
|
|
|
| delete |
Calculus for Business & Economics |
205 |
|
|
|
| delete |
Honors |
299 |
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Topics from Algebra |
430 |
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