Graduate Studies |
|
![]() |
alumni directory application information contact information graduate degrees financial support mathematics courses • program of study • qualifying exam welcome |
Revised Fall Semester 2006
This page is designed to assist the planning of courses for MA, MS and PhD degrees. These samples are offered only a starting point. Each student should work closely with his/her academic advisor to individually plan the program of study. This page has three sections:
The program of study should be recorded on a M1 form for master’s students and a D1 form for PhD students. Students should submit either a M1 or D1 to the office by the end of their first year in the program. It is common for these forms to be revised in a later semester. Forms and instructions are available at http://gradschool.missouri.edu/downloads/index.htm
The table below constitutes the current working definition of the term core graduate course. A graduate course not appearing on this list will be called an advanced graduate course. Plese refer to the full list of Mathematics courses 4000 and above.
To increase the predictability and the enrollment for core graduate courses, we will try to stay with the a prescribed Fall/Winter schedule for core graduate courses. Advanced graduate courses may be offered on a less predictable basis.
Advanced graduate courses include three subclasses:
It is allowable to list a Topics or Seminar course mutliple times on your program of study assuming it is not a duplicate course covering the same topic. Topics and Seminar courses generally have subtitles describing the topic, to list two courses on the program of study it is sufficient that the subtitles are (significantly) different even if the course numbers are the same. On your transcript, only the course number and title appear. On your program of study, you should try to list the course number, the abbreviated title and the subtitle. For example:
Additional Information:
| Number | Course Name | Fall Semester | Winter Semester |
| 7500 | Applied Analysis | Yes | Yes |
| 7700 | Advanced Calculus I | Yes | Yes |
| 7720 | Intro to Abstract Algebra I | Yes | ?? |
| 7900 | Advanced Calculus II | Yes | |
| 7920 | Intro to Abstract Algebra II | Yes | |
| 7940 | Intro to Complex Variables | Yes | |
| 8210 | Basic Algebra | Yes | |
| 8220 | Basic Analysis | Yes | |
| 8250 | Basic Topology and Geometry | Yes | |
| 8410 | Algebra I | Yes | |
| 8411 | Algebra II | Yes | |
| 8420 | Real Variables I | Yes | |
| 8421 | Real Variables II | Yes | |
| 8425 | Complex Analysis I | Yes | |
| 8426 | Complex Analysis II | Yes | |
| 8440 | Advanced ODE I | Yes | |
| 8441 | Advanced ODE II | ?? | |
| 8445 | PDE I | Yes | |
| 8446 | PDE II | Yes | |
| 8460 | Mathematical Finance I | Yes | |
| 8461 | Mathematical Finance II | ?? | |
| 8465 | Risk Theory | ?? | |
| 8615 | Algebraic Geometry I | ?? | |
| 8618 | Intro to Algebraic Topology | ?? | |
| 8628 | Functional Analysis I | Yes | |
| 8630 | Harmonic Analysis I | Yes | |
| 8650 | Diff. Manifolds | ?? | |
| Fall Semester | Winter Semester |
|
Year 1
|
|
| 7700 Advanced Calculus I 7140 Matrix Theory 7940 Intro to Complex Variables 8440 Advanced ODE I |
7900 Advanced Calculus II 7500 Applied Analysis 7315 Intro to Mathematical Statistics 8250 Basic Topology and Geometry |
|
Year 2
|
|
| 8420 Real Variables I 7300 Numerical Analysis 8470 Advanced Numerical Analysis 8440 Advanced ODE I |
8425 Complex Analysis I 8445 Partial Differential Eqns I 8250 Basic Topology and Geometry 8190/8090 Masters Project/Thesis |
| Fall Semester | Winter Semester |
|
Year 1
|
|
| 7500 Applied Analysis 7700 Advanced Calculus I 7720 Intro to Abstract Algebra I 7940 Intro to Complex Variables |
7900 Advanced Calculus II 7920 Intro to Abstract Algebra II 8250 Basic Topology and Geometry 8445 Partial Differential Eqns I |
|
Year 2
|
|
| 8420 Real Variables I 7315 Intro to Mathematical Statistics 8220 Basic Analysis 8210 Basic Algebra 8440 Advanced ODE I |
8250 Basic Topology and Geometry 8410 Algebra I 8425 Complex Analysis I 8190/8090 Masters Project/Thesis |
| Fall Semester | Winter Semester |
|
Year 0
|
|
| 7700 Advanced Calculus I 7940 Intro to Complex Variables 7720 Intro to Abstract Algebra I |
7500 Applied Analysis 7900 Advanced Calculus II 7920 Intro to Abstract Algebra II |
|
Year 1
|
|
| 8220 Basic Analysis 8210 Basic Algebra |
8410 Algebra I 8425 Complex Analysis I 8250 Topology and Geometry |
|
Year 2
|
|
| Topics/Advanced course Outside course |
8445 Partial Differential Eqns I Outside course |
|
Analysis specialization
|
|
| 8420 Real Variables I 8426 Complex Analysis II |
8421 Real Variables II 8628 Functional Analysis I |
|
Algebra specialization
|
|
| 8411 Algebra II 8615 Algebraic Geometry I |
Topics/Advanced course |
|
Other areas of specialization*
|
|
| 8420 Real Variables I 8440 Advanced ODE I 8650 Different Manifolds/Riemann Geometry |
8421 Real Variables II 8628 Functional Analysis I 8441 Advanced ODE II |
|
Year 3
|
|
|
Analysis specialization
|
|
| 8480 (Stat 9810) Advanced Probability 8446 Partial Differential Eqns II 8629 Functional Analysis II 8630 Harmonic Analysis I |
Topics/Advanced course 8631 Harmonic Analysis II |
|
Algebra specialization
|
|
| 8411 Algebra II 8615 Algebraic Geometry I |
Topics/Advanced course 8616 Algebraic Geometry II |
|
Other areas of specialization*
|
|
| 8480 (Stat 9810) Advanced Probability 8446 Partial Differential Eqns II 8440 Advanced ODE I 8460 Financial Mathematics I 8650 Different Manifolds/Rieman Geometry |
8465 Risk Theory 8441 Advanced ODE II 8461 Mathematical Finance II 8470 Advanced Numerical Analysis |
| Fall Semester | Winter Semester |
|
Year 1 |
|
| 7700 Advanced Calculus I 7140 Matrix Theory 7940 Intro to Complex Variables or 8440 Advanced ODE I |
7900 Advanced Calculus II 7500 Applied Analysis 7315 Intro to Mathematical Statistics |
|
Year 2
|
|
| 8420 Real Variables I 7300 Numerical Analysis or 8470 Advanced Numerical Analysis 8440 Advanced ODE I or 8250 Basic Topology and Geometry |
8425 Complex Analysis I 8445 Partial Differential Eqns I 8190 Masters Project |
| Fall Semester |
Winter Semester |
|
Year 1
|
|
| 7700 Advanced Calculus I 7720 Intro to Abstract Algebra I 8250 Basic Topology and Geometry |
7900 Advanced Calculus II 7920 Intro to Abstract Algebra II 7500 Applied Analysis |
|
or
|
|
| 7940 Intro to Complex Variables | 8445 Partial Differential Eqns I |
|
Year 2
|
|
| 8420 Real Variables I 7315 Intro to Mathematical Statistics or 8220 Basic Analysis or 8210 Basic Algebra 8440 Advanced ODE I or 8250 Basic Topology and Geometry |
8410 Algebra I 8425 Complex Analysis I 8190 Masters Project |
| Fall Semester | Winter Semester |
|
Year 0
|
|
| 7700 Advanced Calculus I 7940 Intro to Complex Variables 7720 Intro to Abstract Algebra I |
7900 Advanced Calculus II 7500 Applied Analysis 7920 Intro to Abstract Algebra II |
|
Year 1
|
|
| 8220 Analysis 8210 Algebra 8250 Topology and Geometry |
8420 Real Variables I |
|
Year 2
|
|
| 8421 Real Variables II | 8445 Partial Differential Eqns I |
|
Analysis (choose two) |
|
| 8629 Functional Analysis I 8426 Complex Analysis II 9887 Analysis Seminar |
8629 Functional Analysis II 9887 Analysis Seminar |
|
Algebra
|
|
| 8411 Algebra II 8615 Algebraic Geometry I |
8102 Topics in Algebra 8616 Algebraic Geometry II |
|
Geom/Math Phys/Appl Math (choose two) |
|
| 8628 Functional Analysis I 8440 Advanced ODE I 8470 Advanced Numerical Analysis |
8629 Functional Analysis II 8441 Advanced ODE II 8650 Different Manifolds/Riemann Geometry |
|
Year 3 |
|
|
Analysis (choose three) |
|
| 8480 Advanced Probability 8446 Partial Differential Eqns II 9887 Analysis Seminar 8630 Harmonic Analysis I |
9887 Analysis Seminar 8631 Harmonic Analysis II |
|
Algebra |
|
| 8411 Algebra II 8615 Algebraic Geometry I |
8102 Topics in Algebra |
|
Geom/Math Phys/Appl Math (choose three)
|
|
| 8480 Advanced Probability 8446 Partial Differential Eqns II 8440 Advanced ODE I 8470 Advanced Numerical Analysis 9787 Financial Mathematics |
8680 Stochastic Processes |