Mathematical Sciences

College of Science

Sample Curricula

Sample Curriculum 1

Student interested in analysis from the beginning

* indicates a core course

Year 1- Fall                                                  

Math 631: Topology I*  

Math 675: Linear Analysis I* [Major]              

Math 772: Wavelet Theory [Major]                 

Math 795: Graduate Seminar       

Year 1 - Spring

Math 621: Algebra I*

Math 661: Complex Analysis I [Major]

Math 776: Linear Analysis II [Major]

Math 795: Graduate Seminar                           

Year 2 – Fall                                              

Math 762: Complex Analysis II [Major]                  

Math 677: Ordinary Differential Equations* [Minor]          

Math 790: Potential Theory [Major]                       

Math 795: Graduate Seminar

Year 2 - Spring

Math 671: Fourier Analysis [Major]

Math 644: Convex and Discrete Geometry

Math 673: Dynamical Systems [Minor]

Math 795: Graduate Seminar                

Preliminary exam: End of summer after second year

Year 3 – Fall                                             

 

Math 678: Partial Differential Equations [Minor]   

Reading Course with Prof. Walnut                        Reading Course with Prof. Colonna                     Math 795: Graduate Seminar

 

Year 3 – Spring

 

Math 763: Functions of Sev Complex Var. [Major]

Reading Course with Prof. Walnut                     

Math 795: Graduate Seminar

 

Oral Qualifying Exam: End of spring during third year.

         Major: Analysis (Real and Complex)

         Minor: Dynamics and Differential Equations

Years 4-5

Math 998/999: Math Thesis Credits, with Prof. Walnut

Math 795: Graduate Seminar

 

Sample Curriculum 2

Student interested in algebra, topology, and combinatorics

Student has trouble deciding who to work with

* indicates a core course

Year 1- Fall                           

Math 631: Topology I* [Major]              

Math 675: Linear Analysis I*                               

Math 641: Combinatorics and Graph Theory [Minor]        

Math 795: Graduate Seminar                                   

Year 1 - Spring

 

Math 621: Algebra I* [Minor]

Math 677: Ordinary Differential Equations*

Math 644: Convex and Discrete Geometry [Major]

Math 795: Graduate Seminar                                 

 

Preliminary Exam:  End of the summer after first year

Year 2 – Fall                                            

 

Math 739: Topics in Diff Geom and Topology [Major]           

Math 685: Numerical Analysis*                             

Math 724: Commutative Algebra [Minor]               Math 795: Graduate Seminar

 

Year 2 - Spring

 

Math 671: Fourier Analysis

Math 732: Topology II [Major]

Math 723: Combinatorial Structures [Minor]

Math 795: Graduate Seminar                                   

 

Oral Qualifying Exam: End of the summer after second year

              Major area: Differential topology and convex geometry

              Minor area: algebra and combinatorics

Year 3 – Fall                                           

 

Math 611: Recursive Function Theory                    

Math 678: Partial Differential Equations               

Reading Course with Prof. Soltan

Math 795: Graduate Seminar                                   

Year 3 – Spring

 

Math 661: Complex Analysis

Math 612: Mathematical Logic

Reading Course with Prof. Agnarsson

Math 795: Graduate Seminar  

Years 4-5

Math 998/999: Math Thesis Credits, with Prof. Agnarsson

Math 795: Graduate Seminar

 

Sample Curriculum 3

Student interested in dynamics and topology

* indicates a core course

 

Year 1- Fall                                                  

 

Math 631: Topology I* [Minor]                              

Math 675: Linear Analysis I*                                

Math 677: Ordinary Differential Equations* [Major]          

Math 795: Graduate Seminar

Year 1 - Spring

 

Math 621: Algebra I*

Math 673: Dynamical Systems [Major]

Math 661: Complex Analysis

Math 795: Graduate Seminar

Preliminary Exam:  End of the summer after first year

Year 2 – Fall        

 

Math 739: Topics in Diff Geom and Topology [Minor]           

Math 685: Numerical Analysis*                              

Math 678: Partial Differential Equations [Major]   

Math 795: Graduate Seminar                                   

 

Year 2 - Spring

 

Math 671: Fourier Analysis

Math 732: Topology II [Minor]

Math 674: Stoch Diff Equations [Major]

Math 795: Graduate Seminar                                   

Year 3 – Fall                                              

 

Math 786: Numerical Solutions to Diff Eq            

Math 781: Advanced Methods in Applied Math      Reading Course with Prof. Wanner                    

Math 795: Graduate Seminar                                   

Year 3 – Spring

 

Math 762: Complex Analysis II

Reading Course with Prof. Sander [Major]

Reading Course with Prof. Sauer

Math 795: Graduate Seminar                                 

Oral Qualifying Exam: End of the third year

              Major area: Dynamics and Differential Equations

              Minor area: Topology

Years 4-5

Math 998/999: Math Thesis Credits, with Prof. Sander

Math 795: Graduate Seminar

 

Sample Curriculum 4

Student interested in topology and algebra

* indicates a core course

 

Year 1- Fall                                                

Math 631: Topology I* [Major]                               

Math 675: Linear Analysis I*                                 

Math 677: Ordinary Diff Equations*                   

Math 795: Graduate Seminar                                   

 

Year 1 - Spring

 

Math 621: Algebra I* [Minor]

Math 673: Dynamical Systems

Math 661: Complex Analysis

Math 795: Graduate Seminar                                   

Preliminary Exam:  End of the summer after first year

 

Year 2 – Fall                                                

 

Math 722: Algebraic Topology [Major]                   

Math 678: Partial Differential Equations                  

Math 724: Commutative Algebra   [Minor]             Math 795: Graduate Seminar

Year 2 - Spring

 

Math 671: Fourier Analysis

Math 732: Topology II [Major]

Math 685: Numerical Analysis*

Math 795: Graduate Seminar

Year 3 – Fall     

 

Math 641: Combinatorics and Graph Theory 

Math 739: Topics in Diff Top and Geo [Major]       

Reading Course with Prof. Epstein [Minor]  

Math 795: Graduate Seminar  

Year 3 – Spring

 

Math 762: Complex Analysis II

Math 644: Convex and Discrete Geometry

Reading Course with Prof. Kulesza [Major]

Math 795: Graduate Seminar  

Oral Qualifying Exam: End of the third year

              Major area: Topology

              Minor area: Algebra

Years 4-5

Math 998/999: Math Thesis Credits, with Prof. Kulesza

Math 795: Graduate Seminar