MATH 251H: Ordinary and Partial Differential Equations, Spring 2013

Course Text:

W.E.Boyce and R.C.Diprima: Elementary Differential Equations, 9th Edition, John Wiley and Sons.

Lecture Notes by the instructor: A complete set (previous version).
Updated version will be available on ANGEL for registered students.

Instructor:
Wen Shen, associate professor at Dept of Mathematics.
Email: shen_w AT math DOT psu DOT edu
Office: room 223A, McAllister Building.

Lectures: MTWF 10:10-11am, 112 Thomas.
Office Hours (NEW): Thu 9:50-10:50am, Fri 11:15am-12:15pm + appointments

Midterm exam dates and time:
• Exam I: Thursday Feb 21, 2013, 6:30-7:45pm, 260 Willard
• Exam II: Tuesday April 2, 2013, 6:30-7:45pm, 258 Willard

Homeworks will be posted here every week.

HW 1, due Monday Jan 14, 2013. (Answers are on p. 727-729)

• Ch 1.1: 5, 6, 13, 14, 17, 20, 26, 29
• Ch. 1.3: 1, 3, 5, 9, 10, 11
• Ch. 2.1: 4c, 6c, 13, 15, 17, 22(b,c), 23(b,c)

Home work 2: Due date: Tue Jan 22, 2013.

• Ch 2.2: 1, 5, 6, 10(a,c), 11(a,c), 18(a,c), 22, 23, 30*
• Ch 2.4: 2, 3, 5, 13, 25, 32, 33*
• Ch 2.3: 1, 3, 7, 9, 13, 16*
*Extra practice problems: Attempt them if you want the challenge. You don't have to. They do not effect your grades.

Home work 3: Due date: Mon Jan 28, 2013.

• Ch 2.5: 1, 3, 4, 7, 9, 10, 20, 21*
• Ch 2.6: 1, 4, 8, 16, 18, 19*
• Ch. 3.1: 2, 5, 6, 12, 15, 17, 18, 21, 22, 28
*Extra practice problems: Attempt them if you want the challenge. You don't have to. They do not effect your grades.

Home work 4: Due date: Mon Feb. 4, 2013.

• Ch. 3.2: 3, 4, 5, 6, 7, 9, 12, 14, 17, 21*, 25, 27, 31, 32, 35, 36*, 38*, 39*
• Ch. 3.3: 7, 10, 14, 16, 17, 19, 22, 23, 27, 28*, 32*, 34*

Home work 5: Due date: Mon Feb. 11, 2013.

• Ch. 3.4: 3, 6, 9, 11, 13, 21*, 22*, 23, 24, 28, 38, 39
• Ch. 3.5: 1, 2, 3, 6, 9, 10, 13, 17, 19--26(part (a) only), 28, 31*, 32*

Home work 6: Due date: Mon Feb. 18, 2013.

• Ch 3.6: 7*, 13*
• Ch. 3.7: 1, 2, 7, 10, 26, 30*
• Ch 3.8: 1, 5, 7, 17, 18*
• Ch 4.1: 1, 3, 7, 13, 17, 18, 21, 23, 26*, 27*, 28*

Home work 7: Due date: Mon Feb 25, 2013.

• Ch 4.2: 11, 13, 14, 16, 18, 29, 41*
• Ch 4.3: 3, 4, 5, 9, 15, 16,
• Ch 4.4: 3*, 5*, 13*, 14*, 17*
• Ch 6.1: 7, 8, 9, 10, 13, 14, 15, 18, 26*

Home work 8: Due date: Mon March 11, 2013.

• Ch. 6.2: 4, 8, 9, 12, 14, 16, 23, 24, 37*, 38*
• Ch. 6.3: 1, 3, 7, 10, 13, 14, 15, 17, 19, 21, 23, 24, 25*, 30, 33*, 34*
• Ch. 6.4: 1a, 2a, 6a

Home work 9: Due date: Mon March 18, 2013.

• Ch. 6.5: 2, 3, 25*
• Ch. 6.6: 2, 3, 4, 5, 8, 9, 13, 14, 21*, 22*
• Ch. 7.1: 1, 2, 3, 4, 5, 6, 22*
• Ch. 7.2: 1, 3, 21(c,d), 22, 25

Home work 10: Due date: Mon March 25, 2013.

• Ch 7.3: 16, 17, 18, 20, 31*
• Ch 7.5: 1 , 3, 7, 15, 24, 26 (no directional fields for any problems)
• Ch. 7.6: 2, 3 (skip directional field)

Home work 11: Due date: Mon April 1, 2013.

• Ch 7.7: 3, 6, 11, 12, 14*, 15*
• Ch 7.8: 1(c), 2(c), 7(a), + sketch the phase portrait for all problems.
• Ch 9.1: 1, 2, 4, 5, 6, (only, (a), (b), + phase portraits)

Home work 12: Due date: Mon April 8, 2013.

• Ch 9.2: 5a, 6a, 7a, 8a, 9a, 10a
• Ch. 9.3: 5abc, 6abc, 7abc
• Ch. 9.5: 3bcdef

Home work 13. Due date: Mon April 15, 2013.

• Ch. 10.2: 1, 3, 5, 7, 13, 14, 15, 18, 28*
• Ch 10.3: 1, 13, 14, 15, 17*
• Ch. 10.4: 1, 2, 5, 6, 9, 11, 13*, 15, 18, 33*, 34*, 35*

Home work 14. Due date: Mon April 22, 2013.

• Ch. 10.1: 1, 3, 5, 7, 9, 15, 18, 19,
• Ch. 10.5: 1, 3, 5, 7, 9, 11
• Ch 10.6: 1, 3, 5, 7 , 8, 15*

Home work 15. Due date: Mon April 26, 2013.

• Ch 10.7: 1a, 4a, 11*, 16, 17, 18.
• Ch 10.8*: 10.

Quiz+Answer will be posted on ANGEL.