Teaching
Teaching accomplishment:
Voted by UVM students as one of the top UVM professors in 1997,
which was published in Catamount Pages, a Student-Governance-Association-run newspaper
(click here for an image of the newspaper).
Spring, 2012
Math 271: Advanced Mathematics for Engineers and Scientists
- Syllabus
- Homework for Tuesday, Jan. 17: Sec. 1.1, 1-25 odd
- Homework for Thursday, Jan. 19: Sec. 1.2, 1-11 odd, 12.
- Homework for Tuesday, Jan. 24: Sec. 1.3, 1-11 odd
- Homework for Thursday, Jan. 26: Sec. 1.4, 1,3,6.
- Homework for Tuesday, Jan. 31: Sec. 2.1, 1-9 odd
- Homework for Thursday, Feb. 2: Sec. 2.2, 1-19 odd.
- Homework for Tuesday, Feb. 7: Sec. 2.3, 7-19.
- Homework for Thursday, Feb. 9: Sec. 2.3, 1-7, 20-23.
- Homework for Tuesday, Feb. 14: Sec. 2.4, 13-17.
Math 395: Nonlinear Partial Differential Equations
Fall, 2011
Math 19(M): Fundamentals of Calculus I
Math 330: Advanced Ordinary Differential Equations
Spring, 2011
Math 230: Ordinary Differential Equations
- Syllabus
- Homework for Tuesday, Jan. 18: Sec. 1.3, 1-19 odd
- Homework for Thursday, Jan. 20: Sec. 2.1, 13-20
- Homework for Tuesday, Jan. 25: Sec. 2.2, 1-8, 9(a)-12(a), 30(a-e), 31(a,b), 33(a,b)
- Homework for Thursday, Jan. 27: Sec. 2.3, 4,6,8,9
- Homework for Tuesday, Feb. 1: Sec. 2.3: 24, 25, 26; Sec. 2.4: 1,3,5
- Homework for Thursday, Feb. 3: Sec. 2.4, 13-16,22-26
- Homework for Tuesday, Feb. 8: Sec. 2.5: 1, 3, 5, 15, 16, 17.
- Homework for Thursday, Feb. 10: Sec. 2.6: 1, 3, 5, 7, 9, 11, 15, 19, 21, 23
- Homework for Tuesday, Feb. 15: Sec. 2.9: 1, 3, 5, 7, 9, 11
- Homework for Thursday, Feb. 17: Sec. 3.1: 1, 3, 5, 7, 9, 11, 17, 21; Sec. 3.2: 7, 13, 15.
- Homework for Tuesday, Feb. 22: Sec. 3.2: 1, 3, 5, 17, 19, 23, 25, 31, 35
- Homework for Thursday, Feb. 24: Sec. 3.3: 1-21, odd; Sec. 3.4: 1-11, odd
- Homework for Tuesday, March 1: Sec. 3.4: 23, 25, 27, 29
- Homework for Thursday, March 17: Sec. 3.5: 1-17 odd, 27, 28
- Homework for Tuesday, March 22: Sec. 3.6: 1-19 odd
- Homework for Thursday, March 24: Sec. 3.7: 1, 3, 6, 8, 13
- Homework for Tuesday, March 29: Sec. 3.8: 1, 3, 5, 10, 11, 12
- Homework for Thursday, March 31: Sec. 4.1: 7, 9, 11, 13, 15, 18
- Homework for Thursday, April 7: Sec. 4.2: 1-23 odd
- Homework for Tuesday, April 12: Sec. 4.3, 1, 3, 5, 7, 13, 15, 17; Sec. 4.4, 1, 3, 5, 7, 13, 16
- Homework for Thursday, April 14: Sec. 7.2: 1-7
- Homework for Tuesday, April 19: Sec. 7.3, 1, 3, 5, 17, 19, 21, 23;
- Homework for Thursday, April 21: Sec. 7.5: 15, 16, 17, 18; Sec. 7.6: 1(a), 3(a), 5(a), 7, 9
- Homework for Tuesday, April 26: Sec. 7.8: 1(c), 3(c), 5, 7(a), 11(a);
- Homework for Thursday, April 28: Sec. 7.9: 1-11 odd
Fall, 2010
Math 19(R): Fundamentals of Calculus I
Math 330: Advanced Ordinary Differential Equations
Spring, 2010
Math 20(M): Fundamentals of Calculus II (TTh 4:00-5:15pm)
- Syllabus
- Help session schedule
- solution keys to Exam 1
- Homework for Thursday, March 4: page 577, 1-13 odd (Sec. 9.3)
- Homework for Tuesday, March 16: page 605, 1-49 odd (Sec. 9.6)
- solution keys to Exam 2
- Homework for Thursday, March 25: page 629, 1-29 odd and 35 (Sec. 10.1)
- Homework for Tuesday, March 30: page 639, 1-19 odd (Sec. 10.2)
- Homework for Thursday, April 1: page 656, 1, 7, 11, 13, 17 (Sec. 10.4)
- Homework for Tuesday, April 6: page 675, 1-39 odd (Sec. 11.1)
- Homework for Thursday, April 8: page 686, 1-27 odd (Sec. 11.2)
- Homework for Tuesday, April 13: page 699, 1-13 odd, and 29-35 odd (Sec. 11.3)
- Test 3 review sheet
- solution keys to Exam 3
- Homework for Thursday, April 22: page 718, 1-45 every four (Sec. 12.1), and page 727, 1-41 every four (Sec. 12.2)
- Homework for Tuesday, April 27: page 738, 1,3,5 (Sec. 12.3)
- Homework for Thursday, April 29: page 738, 7-27 every four, and page 744, 1-21 odd (Sec. 12.3-12.4)
- Final exam review sheet
Math 20(N): Fundamentals of Calculus II (TTh 2:30-3:45pm)
- Syllabus
- Help session schedule
- solution keys to Exam 1
- Homework for Thursday, March 4: page 577, 1-13 odd (Sec. 9.3)
- Homework for Tuesday, March 16: page 605, 1-39 odd (Sec. 9.6)
- solution keys to Exam 2
- Homework for Thursday, March 25: page 629, 1-29 odd and 35 (Sec. 10.1)
- Homework for Tuesday, March 30: page 639, 1-19 odd (Sec. 10.2)
- Homework for Thursday, April 1: page 656, 1, 7, 11, 13, 17 (Sec. 10.4)
- Homework for Tuesday, April 6: page 675, 1-39 odd (Sec. 11.1)
- Homework for Thursday, April 8: page 686, 1-27 odd (Sec. 11.2)
- Homework for Tuesday, April 13: page 699, 1-13 odd, and 29-35 odd (Sec. 11.3)
- Test 3 review sheet
- solution keys to Exam 3
- Homework for Thursday, April 22: page 718, 1-45 every four (Sec. 12.1), and page 727, 1-41 every four (Sec. 12.2)
- Homework for Tuesday, April 27: page 738, 1,3,5 (Sec. 12.3)
- Homework for Thursday, April 29: page 738, 7-27 every four, and page 744, 1-21 odd (Sec. 12.3-12.4)
- Final exam review sheet
Fall, 2009
Math 19(T): Fundamentals of Calculus I
Math 330: Advanced Ordinary Differential Equations
Fall, 2007
Math 19: Fundamentals of Calculus I
Math 20: Fundamentals of Calculus II
Fall, 2006
Math 19: Fundamentals of Calculus
Math 395: Nonlinear Wave Motion
Fall, 2005
Math 19: Fundamentals of Calculus
Math 330: Advanced Ordinary Differential Equations
Fall, 2004
Math 266: Chaos, Fractals and Dynamical Systems
Interactive lecture notes
Lecture Notes
- Syllabus
- Reference 1: The Beauty of Fractals, by Peitgen and Richter
- Reference 2: Chaos and Fractals, by Peitgen, Jurgens and Saupe
- Reference 3: An Introduction to Chaotic Dynamical Systems, by Robert Devaney
- Reference 4: Fractal Geometry: mathematical foundations and applications.
Math 330: Advanced Differential Equations
Syllabus
Floquet Theory and Mathieu's Equation (Notes I)
Floquet Theory and Mathieu's Equation (Notes II)
Spring, 2004
Math 19: Fundamentals of Calculus
Math 271: Advanced Mathematics for Engineers and Scientists
Fall, 2003
Math 19: Fundamentals of Calculus
Math 330: Advanced Differential Equations
Spring, 2003
Math 266: Chaos, Fractals and Dynamical Systems
Math 230: Elementary Differential Equations
