Math Courses Taught by Dihua Jiang

Spring, 2008: Math 4281 (Introduction to Modern Algebra), Modern Algebra: An Introduction (5th edition) by John R. Durbin (2004, John Wiley & Sons Inc)(Syllabus, Homework, and Exams)

Spring, 2008: Math 8272 (Lie Groups and Lie Algebras), Lie Groups: an approach through invariants and representations by C. Procesi, 2007, Springer UTX (course description).

Fall, 2007: Math 8271 (Lie Groups and Lie Algebras), Lie Groups: an approach through invariants and representations by C. Procesi, 2007, Springer UTX (course description).

Spring, 2007: Math 8208 (Theory of Automorphic Forms and L-functions for GL(n)) (course description).

Fall, 2006: Math 8207 (Theory of Modular Forms and L-Functions), Fourier Analysis On Number Fields by D. Ramakrishnan and ... (course description)

Fall, 2006: Math 2283 (Sequences, Series, and Foundations) (Syllabus, Homework, and Exams)

Fall, 2005: Math 8300 (Topics in Algebra), Introduction to representations of p-adic groups. Notes will be distributed at class (course description)

Fall, 2005: Math 4151 (Elementary Set Theory), Textbook "Elements of Set Theory" by Herbert B. Enderton. (Syllabus, Homework, and Exams)

Fall, 2004--Spring, 2005: Math 8271-72 (Lie Groups and Lie Algebras)
Textbook: Lie Groups Beyond an Introduction, Second Edition, By A. Knapp,
Progress in Mathematics, vol. 140, Birkhueser, Boston, 2002. ISBN: 0-8176-4259-5.

Fall, 2004: Math 4606 Advanced Calculus (Syllabus, Homework, and Exams)
Textbook: Advanced Calculus, By G. B. Folland, Prentice Hall, 2002. ISBN: 0-13-065265-2.

Spring, 2004: Math 4242 Applied Linear Algebra (Syllabus, Homework, and Exams)
Spring, 2004: Math 8702 (Complex Analysis) by T. W. Gamelin (Part Three) and Introduction to Modular Forms.

Fall, 2003: Math 8701 (Complex Analysis) by T. W. Gamelin

Spring 2003: Algebraic Number Theory (Class Field Theory) 1:25-2:15 MWF, LindH 325

Fall, 2002: Math 8251 (Algebraic Number Theory)
Fall, 2002: Math 2243 (Linear Algebra and Differential equations) (Exams and Homework)

Spring 2002:

Math 8300 (Topics in Algebra) (Nilpotent Orbits in Complex Semisimple Lie Algebras)

Fall 2001:

McKnight Fellowship-leave

Spring 2001:

Math 4242 (Applied Linear Algebra)

Syllabus (ps file)
Home Work for M4242:
Chapter 3:
(3.1) 2,4,6,10,14,17,19,22,24,28. (3.2) 1,4,10,12,15,21,24,27,31,33.
(3.3) 1,2,5,8,9,10,11,12,13,15. (3.4) 2,3,9,14,15,17,23,28,30,33.
(3.5) 1,2,7,12,16,20,21,25,29,35. (3.6) 1,3,4,7,9,13,20,23,26,27.
Chapter 4:
(4.1) 1,3,4,7,12,13,15,20,21,24. (4.2) 1,3,8,11,12,17,19,21,24,26.
(4.3) 1,2,5,7,12,13,14,17,18,19. (4.4) 1,3,4,10,13,14,17,23,31,33.
Chapter 6:
(6.1) 2,5,6,12,17,20,21,27,29,32. (6.2) 1,4,7,15,22,25,27,31,34,37.
(6.4) 1,2,4,5,7,11,18,21,22,24. (6.5) 1,3,7,9,14,17,20,23,27,28.
(6.6) 1,3,6,8,10,12,15,17,18,20. (6.7) 1,2,3,4,7,8,11,13,15,16.
Chapter 7:
(7.1) 1,3,4,6,11,14,18,20,21,23. (7.2) 1,5,8,9,11,13,15,18,21,31.
(7.3) 1,2,3,4,5,6,7. (7.4) 1,3,7,10,13,16,18,20,23,25.
Chapter 10:
(10.1) 1,2,6,8,11,12,14,16,20,23. (10.2) 1,5,6,10,12,14,19,22,26,28.

Math 8270 (Topics in Algebraic Geometry) (ps file) ; (Textbook Homepage) by R. Goodman and N. Wallach.

Fall 2000:

McKnight Fellowship-leave

Spring 2000:

Math 1272 (Calculus II) Syllabus (ps file) , Lecture Notes (ps file) , Final Review (ps file)

Fall 1999:

Math 1271 (Calculus I) Syllabus (ps file) , Lecture Notes (ps file)

Spring 1999:

Math 8268 (Representation Theorey of p-adic Groups) (ps file)

Winter 1999:

Math 8267 (Modular Forms and L-functions) (ps file)

Math 5245 (Undergraduate Abstract Algebra) (ps file)

Fall 1998:

Math 8266 (Introduction to Modular Forms) (ps file)