Ordinary Differential Equations with Boundary Value Problems

The course will be based on ``Elementary Differential Equations with Boundary Value Problems'' (Free Edition 1.01, December 2013) by William Trench. This book is available online at the webpage of Prof. William Trench at http://ramanujan.math.trinity.edu/wtrench/texts/index.shtml (http://digitalcommons.trinity.edu/mono/9/ and http://digitalcommons.trinity.edu/mono/10/)

We will cover sections 1.1-1.3,2.1-2.6, 4.1*,5.1-5.7,6.1*, 7.1-7.3,8.1-8.8, 11.1-11.3, 12.1-12.4, 13.1-13.2 (the order is subject to change).

Other References

  • ``Elementary Differential Equations and Boundary Value Problems'' by William Boyce and Richard DiPrima.

  • ``Advanced Engineering Mathematics'' by Erwin Kreyszig (the book is available in the bookshop and is a good reference book for three classes at AlFaisal (Linear Algebra, ODEs & PDEs, Numerical Analysis) - it is recommended to buy it).

Communication I have created a google group at https://groups.google.com/forum/#!forum/odespdes-at-alfaisal-fall-2015 such that I can send you emails. Please join this mailinglist.

Exams There will be two midterm exams on October 15th and November 22nd.

Grade The final grade will be computed as follows: Homework contribute 10 percent, the midterm exams 25 percent each, and the

final exam 40 percent.

Homework Assignments Homework assignments are indispensable for a good understanding of the material. Mathematics is actually more about understanding than about memorizing. You are strongly encouraged to work all of them out.

HW1: 1.2 (1(a,d), 2(a,e,h).3(a,c,f,h), 4(a,d,i). 5(a,d), 6(a,c),7,8,9,10), 1.3(12,13,14), 2.1(1,3,5,6,7,11,17,19,21,30,31,35,43,45,47,48), 2.2(1,4,6,11,17,22,28,29,35,36,38) [Due date, Sept. 6th]

HW2: 2.4 (1,4,14,15,40,41,44,45,55,56) [Hint: read page 63 in section 2.4 of the book], 2.5 (1,2,3,10,15,18,20,29,30,33,34,38,39,41) (Hint: read page 77 in section 2.5 of the book), 2.6 (3,4,5,18,19,20,30) [Due date, Sept. 13th]

HW3: 5.1 (1,2,3,4,5,6,7,8,9,10,11,13,17), 5.2 (1 to 12 and 13 to 17,33,34) [Due date, Sept. 29th]

HW4: 5.3(1,7,8,9,14,15,16,22,23,24,31,32,33), 5.4(1,15,24,31,32,34,37,38,39), 5.5(1,5,6,17,22,26,27,31,36), 5.6(1,2,6,18,20,21,31,32,36,37,38,39,40), 5.7(3,6,7,9,12,30,31,37,38), 7.1(1,11,14,16,17), 7.2(1,4,16,18,28,29,30,31,32,33), 7.3(1,2,19,29,30,31,39,40), 7.4(1,2,3,8,9,10,20,21) [Due date, Oct. 29th]

HW5: 8.1(1,2,5,17,18), 8.2(1,2,4,6,7,8), 8.3(1,2,17,27,30,31), 8.4(1,2,6,7,8,9,11,12,13,19,20,23,24,28),8.5(1,2,4,5,8,20), 8.6(1,2,3,4(a),5), 8.7(1,3,10,12,15,19,20,30) [Due date, Nov. 3rd]

HW6: 11.2(3,5,7,9,10,11,13,19,20,21,22,23,29), 11.3(1,4,6,7,13,17,19,22,26,29,31,32,38,39,44,45,46,51,52,53) [Due date, Nov. 12th]

HW7: 11.1(1,2,3,4,5,6,17,18,19,20,21,22,23) [Due date, Nov. 19th]

HW8: 13.1(2,3,6,7,16,17), 13.2(1,2,3,4,5,6,7,9,10,22,26) [Due date, Dec. 6th]

HW9: 12.1(8,9,10,18,20,21,25,27) [Due date, Dec. 13th]

The homework assignments will be found on this website. Their solutions can be found in ``Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems'' by William Trench which can be found online at http://ramanujan.math.trinity.edu/wtrench/texts/index.shtml.

Remarks about the Homemork

  • You are required to solve at least one problem per section in order to get the 10%.

  • Homework will be assigned every Sunday and collected one week later.

  • Each assigned homework will have equal weight in the final homework score.

  • Homework assignments will not be graded and you will automatically get 10% of the final grade if you turn them in.

  • Late homework will not be accepted under any circumstances.

  • Please print your name, staple your homework, and write down the homework number.

Remarks about the Exams

  • Solutions for the midterm exams will be posted on the web.

  • No makeup exams. A missed exam counts as zero points.

  • Use of books, notes, and calculators will not be allowed on any exam.