The guidebook is intended as a reference for use by Mathematics faculty and graduate students. It contains degree requirements, guidelines for continuation of assistantships, Department and University policies concerning graduate students, and other information about the University of Georgia graduate programs in Mathematics.
Faculty Advisors and Committees
Course Registration Requirements
Advance Registration and Assistantships
The MA Program
The MAMS Program
The PhD Program
Forms to File
University Regulations for Graduate Teaching Assistant
TA Preparation Courses
Appendix: Graduate Course Listing by Area and Level
It is especially important that all students know that it is their responsibility to make sure they fulfill all of the requirements explained in this handbook and meet all the Graduate School deadlines. Each student should meet regularly with his or her advisor, to keep the advisor informed about the student's progress, and to develop a personal mentoring relationship.
All students entering a Mathematics degree program are advised by the Graduate Committee. By the end of the first year, each student will be assigned a faculty advisor by the Graduate Coordinator. The advisor is responsible for forming the Masters Committee of an MA student or the Preliminary Advisory Committee (PAC) of a PhD student and for signing the student’s advisement form each semester. The Masters Committee and the PAC consist of three members. In addition, the advisor, consulting with the student, chooses a teaching mentor for the student before the student starts teaching classes. The PAC committee members review the performance of the student on his or her qualifying exams. The PAC of a student dissolves after the student passes all four qualifying exams and chooses a dissertation advisor. The dissertation advisor chosen by the student is responsible for forming the PhD committee, which consists of 4 to 5 members including the advisor.
A student may change advisors at any time. This change should be discussed with the old advisor, the new advisor, and the Graduate Coordinator.
The Master's or PAC or PhD committee should take an active role in designing the student's course of study, especially in regards to courses outside the department and monitoring the progress towards degree.
The Graduate School requires that all students holding assistantships register for a minimum of 12 hours of graduate credit Fall and Spring semesters and 9 hours of graduate credit during the Summer semester. All graduate students, regardless of support status, must register for a minimum of 3 hours of credit during any semester in which they use University facilities and/or staff time. Registration for more than 18 credits requires special permission. All enrolled students pursuing graduate degrees at the University of Georgia must maintain continuous enrollment from matriculation until completion of all degree requirements. Continuous enrollment is defined as registering for a minimum of three (3) credits in at least two semesters per academic year (Fall, Spring, Summer) until the degree is attained or status as a degree-seeking graduate student is terminated.
The Mathematics Department requires students holding assistantships to take at least 9 credits of program-oriented coursework each semester: ordinarily this will be within the Mathematics Department, but courses within related departments (such as Computer Science, Statistics, or Management Science) are acceptable if approved by the student's advisor. (In most cases, the Graduate School requirement to register for a minimum of 12 hours of graduate credit will supersede this departmental requirement.)
Except during the summer, the Mathematics Department requires all PhD students who have passed the Written Qualifying Exams to register for at least one PhD-level course each semester, in addition to any reading or research projects they are taking (8800, 8900-8980, 9000, or 9300).
The Graduate School requires all students holding assistantships to register during the Phase I or Phase II registration periods before each semester (i.e., before the first day of classes). Students who fail to do so will lose their tuition waiver and reduction of fees for that semester; they cannot be paid as teaching assistants, but may be employed as hourly workers, or temporary instructors, if the Department sees fit.
Registration is deemed complete when the student has paid his or her fees or has checked the payroll deduction option on the Student Account screen in Athena. Note that before this can be done, the student must see his or her advisor, bring a completed advisement form to Laura so she can clear you to register in Athena. Students are requested to complete advisement as early as possible.
The following paragraph applies to students who matriculate in 2013 or later: For students holding assistantships, it is the intention of the Department to continue providing support for up to five years, as long as the student is making satisfactory academic progress and discharges his or her assistantship duties responsibly.
Progress is examined in an annual review by the Graduate Committee, ordinarily carried out in Spring semester. The review includes evaluations by the student's advisor, instructors in courses the student has taken within the past year, and faculty members the student has been assigned to assist. It includes examination of the student's academic record, progress on PhD Qualifying Exams or Master's Comprehensive Exams, and training as a teacher. For students working on dissertations or theses, it includes an evaluation of the progress they have made. For students assigned teaching duties, it includes an evaluation by the student's teaching mentor. The review will take into account the following timetables and guidelines:
This paragraph applies to students who matriculate in 2013 or later: PhD students should defend their dissertation within five years of entering the program. Support for one additional (sixth) year may be granted after a petition by the student's advisor, which must project a completion date for all requirements by the end of the sixth year. It is expected that continuation of support for more than one additional year will be rare.
This paragraph applies to students who matriculate in Summer 2012 or later, and to current students in Fall 2012 who entered with Master's degrees: Students entering the PhD program in Summer or Fall (respectively, Spring) semester are expected to pass their Written Qualifying Exams by January (respectively, August) of their third year in the program, and complete their Oral Qualifying Exams by January (respectively, August) of their fourth year in the program.
Master's and MAMS
Students are expected to complete their programs within two years. Continued support for the second year depends on satisfactory performance in the first year. MA Non-Thesis students are expected to pass their Comprehensive Exams at the end of the second year. Support for a third year will be given only upon the advisor's strong recommendation.
Grades are indicators of a student's prospects for success on the corresponding Quals or Master's Comps. A grade lower than B- in any Mathematics course is grounds for reducing or terminating support.
International students whose native tongue is not English must demonstrate competence in spoken English by the end of their second year of study. International TAs are expected to continue their training in English until they have passed GRSC 7770 and passed the iBT-Speaking test with a score of at least 24. Failure to meet this requirement is grounds for a reduction in support or an increase in non-teaching duties. See the official UGA TA Policy for further details.
Domestic students who have not had experience teaching at the college level must take GRSC 7770 (TA preparation course) within their first year of graduate study (second year, for those holding Graduate School Assistantships).
Teaching guidelines are provided so that our graduate students are adequately trained as teachers, the workload is distributed fairly among our students, and our undergraduates receive high quality instruction from graduate students supported by the department.
- Every graduate student with duties in their first or second year in the program involving teaching undergraduates is required to take the course GRSC 7770 (offered only once a year in the fall) as soon as possible after first enrolling at UGA. A student can receive an official waiver from taking GRSC 7770, on petition from the department, if the student has had an equivalent course at another institution.
- International graduate students with low scores on the speaking test may be required to take the courses LLED 7768 and LLED 7769 in their first year and thereafter until they pass them. All international students are expected to achieve a level of proficiency in English so as to be able to teach UGA undergraduate students by the fall semester of their third year in our program. If the Graduate Committee decides that a student is not ready to teach his or her own course when specified by these guidelines, the student's support will, after due process has been accorded, be decreased by 1 unit during the year in which the teaching was to have started. As an alternative to reducing support, additional non-teaching duties may be assigned. The teaching ability of the student will be reviewed in each subsequent spring semester. The student's support will be reinstated, left unchanged or further decreased, depending on the Graduate Committee's evaluation of the student's ability to teach during the following academic year.
- A domestic student may be the instructor of record for a section of Precalculus already in the fall of his/her second year at UGA. Each doctoral student teaching Precalculus (Math 1113) for the first time will take the Teaching Preparation Course, Math 9005, offered every year in the fall (an MA student will register for the same course under the number Math 7005). At this time, the student will have the opportunity to choose a faculty teaching mentor. The teaching mentor will also be a resource to the graduate student instructor in subsequent semesters and will become the person in the department most likely to be in a position to write a letter of recommendation about the teaching of the student.
- After demonstrating competency in teaching Precalculus, a student may continue and teach Precalculus again in the following Spring. They are required to enroll in the Teaching Preparation Course, Math 9005.
- Graduate students who have demonstrated competency in their teaching are expected to advance to teaching Calculus in their third year (departmental scheduling needs may necessitate students being given duties other than teaching in any given term). A domestic student may be the instructor of record for a section of Calculus (Math2250) already in the spring semester of his/her second year at UGA. Each graduate student teaching Calculus for the first time will also sit in on the weekly calculus instruction sessions.
- The faculty instructor for Math 7005/9005 will review the performance of each graduate student teaching Precalculus or Calculus for the first time on a weekly basis. After five weeks of classes, the faculty instructor will report to the Graduate Committee the name of any student whose performance in teaching is deemed substandard. If such a name is reported, the Graduate Committee will meet with the faculty instructor and the teaching mentor of the student to discuss steps to help the student improve, and to communicate officially these steps to the student.
- At the end of each semester, the Graduate Committee will review the faculty evaluations and student evaluations from the course that the student taught that semester. If the Graduate Committee decides, after due process has been accorded, that a student’s teaching performance has been substandard, the student's support will be decreased. As an alternative to reducing support, additional non-teaching duties may be assigned. The student will be allowed to retake Math 7005/9005 when next offered for the relevant course.
All students entering the MA and PhD programs in the Fall semester are required to take the Preliminary Examination during Orientation Week. This exam is designed to test the students' mastery of the foundations of the undergraduate mathematics curriculum, principally linear algebra and advanced calculus, and is used mainly for placement purposes. Based on the performance on the exam, the student may be placed into MATH 7900 (Foundations for Graduate Mathematics) during the Fall semester.
The purpose of the MA program in Mathematics is to offer students who hold a Bachelor's degree in mathematics or a closely related field an opportunity to broaden their knowledge in several areas of mathematics and its applications. This program will prepare a student for teaching at junior colleges or for careers in business, government, or industry. An inadequately prepared PhD applicant may be admitted to the MA program with the possibility of transferring later to the PhD program if he or she makes sufficient progress.
Prerequisites: To enter the MA program a student should have a strong Bachelor's degree in mathematics or a closely related field. The student should have had training at the junior/senior level in courses requiring reading and writing proofs, preferably including at least two from modern algebra, topology, and real analysis. Additional courses in pure and applied mathematics, probability, statistics, physics, and computer science are desirable.
MA Program Requirements: The MA program in mathematics is offered under two plans: (1) MA with thesis, and (2) MA without thesis. The general Graduate School requirements include a minimum of 30 semester hours of course work of which at least 12 hours must be in courses open only to graduate students (exclusive of 7000 and 7300, but including 6000 level courses and 3 hours of 8850). A maximum of 6 hours of 7000 and 3 hours of 7300 may be applied toward the 30 hours. GRSC7770, LLED7768, LLED7769, and MATH7005 can not be counted on the Program of Study. For additional requirements concerning transfer credit, submission of program of study, admission to candidacy, and regulations concerning preparation of theses, see the current Graduate Bulletin, or consult the Graduate School.
Departmental requirements are as follows.
Candidates for the MA degree with thesis are required to take 30 credit hours of mathematics-related coursework, and to write a thesis. The course work must include 9 hours in 8000-level MATH courses, (not counting 8xx5, 8800, 8900-8980, or more than one semester of 8850) and 3 hours of MATH 7300 (Master’s Thesis). It is desirable that the thesis should present original research. However, the thesis may be expository in nature, in which case it should be a synthesis of several research articles and books. The student must give a final oral defense of the thesis, and it must be approved by a committee of three members including the thesis advisor.
Candidates for the MA degree without thesis are required to take at least 33 credit hours of mathematics-related coursework. The course work must include 12 hours in 8000-level MATH courses, (not counting 8xx5, 8800, 8900-8980, or more than one semester of 8850). Candidates are also required to take Comprehensive Examinations in three areas as specified below.
A student's progress towards an MA degree is supervised by a 3-person Master's committee, formed at the beginning of his or her graduate career. The student's faculty advisor chooses this committee, and is its chair.
The three MA Comprehensive Exams taken by students in the MA non-thesis program must be chosen from three different areas among (1) Analysis, (2) Algebra, (3) Topology, and (4) Applied. See the Appendix for a list of courses, grouped by area. The course groups corresponding to the four areas are (1) A and E, (2) B and F, (3) C and G, and (4) D and H. At least one exam must cover an 8000-level course. Master's Comps are two hours in length, and must initially be taken in a one-week period, ordinarily at the end of the candidate's second year of study. The examiner marks the exam and makes a pass/fair recommendation, but success is ultimately determined by the student's committee; if the student's work is not satisfactory, the committee may recommend "fail" or administer another exam.
Students in the MA non-thesis program are given credit for Master's Comps if they have passed at least two or more PhD Written Qualifying Exams, with grades of Masters Pass or Pass, in two different areas from (1) - (4) above.
The purpose of the MAMS program is to provide mathematical training for students who wish to work in business, government, or industry. It is designed to produce applied mathematical scientists who can solve quantitative and qualitative problems arising in practical applications (for example, in areas such as computer aided industrial design, operations research, engineering or systems analysis). The MAMS program is intended for people who wish to sharpen their mathematical skills for use in applied situations.
The MAMS degree offered in the Mathematics Department is inherently interdisciplinary in nature. A principal feature of the MAMS program is that the student works on an individual problem. This problem can come from any applied area of study (for example, physics, agricultural engineering, ecology, marine sciences or finance). Some upper level course work in that area may be included in the student's program of study. The project results are written up by the student in a substantial technical report. The student also gives an oral presentation of the report to the faculty. The technical report should clearly describe the problem, detail the mathematical analysis and results, and interpret the results in terms of the original problem.
Prerequisites: In order to be admitted to the MAMS program, a student must have taken courses in multivariate calculus, linear algebra, and ordinary differential equations. Students should also have had some experience with computers.
Course Work: The course work in students' programs of study should broaden their knowledge and skills in applied mathematics. To obtain a MAMS degree the student must pass 33 credit hours of approved course work, including either
Real Analysis (MATH 6100) or Complex Variables (MATH 6150)
Probability (MATH 6600) or Introduction to Partial Differential Equations (MATH 6720).
At least 9 credit hours of 8000-level mathematics courses must be included in the student's program of study (not counting 8xx5, 8800, 8900-8980, or more than one semester of 8850) with at least one course taken from each of any two of the following areas:
Advanced Numerical Analysis (MATH 8500, 8510, 8520)
Special Topics in Numerical Analysis (MATH 8550)
Probability (MATH 8600)
Stochastic Processes (MATH 8620)
Stochastic Analysis (MATH 8630)
Industrial Mathematics (MATH 8700)
Variational Methods/Perturbation Theory (MATH 8710)
Ordinary Differential Equations (MATH 8740)
Introduction to Dynamical Systems
Partial Differential Equations (MATH 8770)
In addition students may take up to nine hours of course work in other departments in an area related to the technical report project.
Technical Report: A distinguishing feature of the MAMS program is the writing and presentation of a technical report following an investigation into a real-world applied mathematics problem. This report, written under the guidance of a faculty advisor, consists of three parts:
- The introduction, in which the problem is explained clearly in non-technical terms;
- The description of the mathematically formulated problem and the mathematical analysis performed;
- The summary, which relates the results of the problem and explains any conclusions.
The report and presentation may be viewed as training for a real job situation where one communicates the results of a project and any relevant conclusions to a manager or a client.
Prerequisites: To enter the PhD program a student should hold at least a Bachelor's degree in mathematics. The academic record of a student applying to the PhD program should contain substantial evidence that the student will succeed in the doctoral program. In reviewing an applicant's folder, the Graduate Committee gives substantial weight to the applicant's transcripts, letters of recommendation, and GRE scores.
Requirements: The PhD degree has the following requirements beyond the residency requirement (however, breadth and depth of knowledge are strongly encouraged). It requires (1) passing written and oral qualifying examinations, (2) writing a dissertation embodying the results of original research which is acceptable to the student's dissertation committee, and (3) a final oral defense of the dissertation.
The Program of Study must include a minimum of 30 semester hours of course work, including at least 16 hours of 8000- and 9000-level courses not including research, dissertation writing, and directed study. None of the courses GRSC7770, LLED7768, LLED7769, MATH7005, or MATH9005 can be counted on the Program of Study, nor any course with a grade below a C. At least 3 hours of 9300 (Dissertation Writing) must appear on the Program of Study. For additional requirements concerning transfer credit, submission of program of study, admission to candidacy, and regulations concerning Doctoral Final Defense and Doctoral Dissertation, see the current Graduate Bulletin, or consult the Graduate School. The maximum hours of both MATH9000 and MATH9300 in any one semester is 9.
A student's progress towards the PhD degree is initially supervised by a three-person Preliminary Advisory Committee. The student's faculty advisor chooses this committee, and is its chair. After the student has passed the Written Qualifying Exams, and before taking the Oral Qualifying Exam, the Advisory Committee is increased from 3 to a minimum of 4 members. The voting members of this committee will be the same as the student's PhD committee.
The PhD Qualifying Examination System consists of two parts. The first part consists of four Written Qualifying Exams and the second consists of an Oral Qualifying Exam.
Written Qualifying Exams are offered every year in August before the start of Fall semester classes and in January before the start of Spring semester classes. Study guides and copies of previous qualifying exams are available on the Graduate Program website for students to use in preparing for their Written Qualifying Exams.
Written qualifying exams are offered in algebra, complex analysis, numerical analysis, probability, real analysis and topology.
There are three possible grades on each exam: pass, master's pass or fail. Each PhD candidate is required to either: (i) attain pass grades on three written qualifying exams or (ii) attain pass grades on two written qualifying exams and master's pass grades on two written qualifying exams.
The choice of which three or four exams to apply to meet these requirements from the six available exams must be approved by the student's Preliminary Advisory Committee.
Each of the six introductory 8000-level courses (MATH 8000, 8100, 8150, 8200, 8500, and 8600, along with the associated 8xx5 problem session) is designed to help prepare students for the written qualifying exam in the corresponding subject area. However, the final authority for possible topics on the exam lies with the Study Guides; not all topics will necessarily be covered in the introductory courses.
The Written Qualifying Exams may be taken in any order, and more than one exam may be taken at a time. An exam may be repeated until passed; however, timely completion of the Written Qualifying Exams is expected according to the Progress Guidelines. For each written qualifying exam taken by a student, an examining committee decides on a Pass/Masters Pass/Fail recommendation communicated to the student’s preliminary advisory committee (PAC). The student's PAC may request that the examining committee review its decision. In case of disagreement between the examining committee and the PAC, the PAC may appeal the examining committee's decision to the Graduate Committee. It is expected that requests from the PAC to the examining committee to review the pass/fail decision will be based on substantive grounds such as a factual error in the questions or grading of the exam.
The Oral Qualifying Exam is based on the student's anticipated area of specialization. In it, the student is expected to present material from one or a few research papers and to answer general questions about the area of specialization. Timely completion of the Oral Qualifying Exam is expected according to the Progress Guidelines. To begin preparing for the Oral Qualifying Exam, the student decides upon a thesis advisor. At this time the student's committee will increase from 3 to a minimum of 4 members. The oral qualifying exam is designed to assess the student's readiness to begin work on a thesis. The student prepares by reading research papers in the area, and the student, advisor, and committee agree upon a body of material for which the student will be responsible. The exam will consist of a presentation on the prepared research papers, followed by a question period covering the presentation and the agreed upon body of material. Oral exams are only open to faculty members.
The Graduate School requires that a number of forms be filed, on schedule, for each program. A schedule of deadlines is published by the Graduate School each semester and is also posted on the Mathematics Department's Graduate bulletin board.
Students are responsible for making sure that the appropriate forms are filed on time.
Completed forms should be submitted to the Mathematics Graduate Office (room 434D) at least 5 working days before any Graduate School deadline.
Advisory Committee for MA
At least 1 semester before graduating and before submitting Program of Study
Program of Study for MA
Should be submitted by the second semester of residence, but must be submitted no later than the beginning of the semester student intends to graduate
Application for Graduation
Beginning of semester student intends to graduate
Approval Form for Master’s Thesis Defense or Final Examination
At least 2 weeks before graduation
Masters Comprehensive Exams Report (MA non thesis only)
At least 2 weeks before graduation
Exit Approval Letter for Master of Arts
|At least 1 week before graduation
Math Graduate office submits on Department stationery
MA candidates must have at least a 3.0 average at the time of applying for graduation.
MA candidates with thesis must meet graduate school rules for checking theses, having them checked by the prescribed date, making sure they have the correct format, and having copies filed with the Graduate School and Library.
On the Program of Study designate by asterisk 6000- and 7000- level courses only open to graduate students, exclusive of research and thesis hours (7000 and 7300). All 6000-level MATH courses have been deemed to meet this condition.
Advisory Committee for MAMS
At least 1 semester before graduating and before submitting Program of Study
Program of Study form for Non-Doctoral Professional Degrees
At least 1 semester before graduating
Application for Graduation
Beginning of semester student intends to graduate
|Technical Report Form||At least 2 weeks before graduation. See Math Graduate office for form|
Exit Approval Letter for the MAMS
At least 1 week before graduation. Math Graduate office submits on Department stationery
MAMS candidates must have at least a 3.0 average at the time of applying for graduation.
MAMS candidates must file three copies of the Technical Report with the Mathematics Department, including one in a folder provided by the Department.
Advisory Committee for Doctoral Candidates form (preliminary committee with 3 members)
Prior to taking written quals
Advisory Committee for Doctoral Candidates form (revised to include a minimum of 4 members)
Prior to taking oral quals
Final Doctoral Program of Study form
Developed by Major Professor and student, approved by the majority of committee
Oral Qualifying Exam Announcement
Graduate Coordinator notifies Graduate School 2 weeks before exam is scheduled
Report of the Written and Oral Comprehensive Examination form
Graduate Coordinator submits to Grad. School when student passes the Oral Qualifying Exam
Application for Admission to Candidacy for Doctoral Degree form
Submitted when student passes the Oral Qualifying Exam
Application to Graduate form
The beginning of semester student intends to graduate
Final Defense of Doctoral Dissertation Announcement
Graduate Coordinator notifies Graduate School 2 weeks before defense is scheduled
|Approval form for Doctoral Dissertation and Final Oral Examination||Graduate Coordinator submits after student successfully completes thesis defense and at least 2 weeks before graduation|
Exit Approval Letter for the PhD
At least 1 week before graduation. Math Graduate office submits on Department stationery
Students must have at least a 3.0 average at the time of applying for admission to candidacy.
If the membership on the student's 3-person Preliminary Advisory Committee or 4-person Final Advisory Committee changes after the original Advisory Committee for Doctoral Candidates form has been filed, it is necessary to file another copy of that form indicating the revised committee.
PhD candidates must meet Graduate School rules for Checking Dissertations, having them checked by the prescribed date, making sure they have the correct format, and filing copies with the Graduate School and Library.
See the UGA Center For Teaching and Learning website for the complete and most up-to-date TA Policy.
GTAs and GLAs who have no prior successful teaching experience at the college level in the United States must enroll in LLED 7768, LLED 7769 or GRSC 7770 before they are given any responsibility for a course. The Mathematics Department offers discipline specific sections of GRSC 7770.
LLED (formerly ELAN) – Levels 1 and 2 are designed specifically for non-English speaking teaching assistants.
LLED 7768 Level One
The class is designed to improve the classroom communication of international teaching assistants through English as a Second Language training. Sessions include:
- Diagnosis of language problems
- Structured opportunities to improve language proficiency
- Practice with the English sound symbol system
- Work on word stress and sentence stress production
- Review of question forms and intonation patterns
- Practice of vowels and consonants
- Fluency exercises
LLED 7769 Level Two
The class is designed to improve the ability of international teaching assistants to communicate effectively within the cultural context of the University of Georgia classroom. Sessions include:
- Diagnosis of communication problems
- Techniques to establish rapport with students
- Demonstrations of effective teaching strategies
- Discussions of classroom management procedures
- Tips on how to lead discussion sessions, plan lessons, evaluate and advise students
- Observation and practice of effective teaching communication strategies
- Practice giving directions, explanations, and short lectures
GRSC 7770 Level Three
(Can be used for Certificate in University Teaching)
The class is designed to prepare teaching assistants for their role in the University of Georgia classroom and for potential careers involving instruction at other institutions. Sessions include:
- Techniques to organize and effectively conduct the first class meeting of a course
- Discussion of the range of options for dealing effectively with students and classroom problems
- Practice in planning, organizing and presenting a good lecture
- Tips on conducting and managing class discussions
- Discussion of good test design and valid evaluation
- Methods to evaluate one's own teaching
- Techniques to design and use a variety of teaching methods
- Presentations of the major sources of information that relate to the instructional policies and procedures at the University of Georgia
- Opportunities to document the graduate teaching experience via the teaching portfolio
- Guidance in developing a teaching project for the Certificate in University Teaching
Students who feel they have been treated unfairly in any matter concerning the graduate program, including continuation of support, assignment of duties, academic status, or nondiscrimination policies, may request a hearing by the Graduate Committee. Assignment of grades and setting of grading policies and standards are considered to be an instructor's prerogative and are not normally an appropriate grievance topic.
- Grievances should be submitted to the Graduate Coordinator in writing.
- When a grievance concerns an individual Graduate Committee member, that person will abstain from the decision.
- Grievances concerning support decisions will be heard by the full Committee.
- A Committee decision may be appealed, in written form, to the Department Head, who will decide whether or not to pursue the matter further.
Graduate courses are offered at two levels. Courses numbered 6000-6900 are intended for senior undergraduates as well as graduate students. Courses numbered 8000-8980 are intended for graduate students preparing for Comprehensive or Qualifying Exams, or advanced Masters and PhD students. As a general rule, 6000-level courses and 8000-level courses carry 3 hours of credit per semester. (Most graduate courses meet 3 hours a week.) Normally, a first year student selects three courses per semester at the 6000-level. A second year student normally selects at least two courses per semester at the 8000-level. A first year student with previous course work at the 6000-level may substitute 8000-level courses. All students are required to take VRG Research Group (MATH 8850) in both Fall and Spring semesters within their first two years of study. All MATH8850 students are required to attend the VRG student seminars. All other graduate students are encouraged to attend the VRG student seminar. Most first year students take one of the teaching seminars GRSC 7770, LLED 7768, or LLED 7769.
A list of courses is given below, divided into groups according to subject area and level. See the University of Georgia Bulletin for a more detailed description of these courses.
|A. Analysis||6100||Real Analysis|
|D. Applied Mathematics||6500-10||Numerical Analysis|
|6720||Intro to PDEs|
|6730||Math and Climate|
|E. Analysis||8100-10||Real Analysis|
|8130||Topics in Analysis|
|8440||Combinatorial and Analytic Number Theory|
|8030||Topics in Algebra|
|8315||Sheaves and Cohomology|
|8330||Topics in Algebraic Geometry|
|G. Topology||8200||Algebraic Topology|
|8210||Topology of Manifolds|
|8230||Topics in Geometry and Topology|
|H. Applied Math||8500-10-20||Numerical Analysis|
|8550||Topics in Numercial Analysis|
|7040||Basic Ideas of Calculus I (=MATH 2400H)|
|7050||Basic Ideas of Calculus II (=MATH 2410H)|
|J. Foundations||7900||Foundations of Graduate Mathematics|
|K. Miscellaneous||6760||Math and Music|
|6850||History of Math|