# MATH 215, Section 202

## Session 2017W, Term 2 (Jan - Apr 2018)

Last update: 2018.04.06 ( New office hours )

---------------------------------------------------------------------------------------------------------------------

### OFFICE HOURS IN APRIL EXAM PERIOD (regular office hours are cancelled):

2:00--3:00 pm Wed Apr 11
1:00--3:00 pm Thu Apr 12
---------------------------------------------------------------------------------------------------------------------

• Course outline.
• Textbook: William E. Boyce, Richard C. DiPrima, Douglas J. Meade. Elementary Differential Equations and Boundary Value Problems (11th edition). [or 10th edition by Boyce and DiPrima.]
Instructor: Wayne Nagata
Email: nagata(at)math(dot)ubc(dot)ca
Office: Mathematics building, room 112
Office hours: M W 2:00-2:50 pm, F 4:00-5:00 pm, or by appointment
Telephone: 604-822-2573

### Lecture Notes and Suggested Homework

Most test and exam questions will be like some of the Suggested Homework and Assigned Homework problems. Make a serious attempt to solve Suggested Homework problems, before consulting the Student Solutions Manual. If you missed a lecture, this is an approximate guide to what topics were covered. Page and question numbers are from the new 11th edition. [The problems are also in the 10th edition, but on different pages and usually with different numbers.]

Answers are in the back of the book, or by clicking the "Answer" button in the electronic version of the textbook, 11th ed. More detailed solutions (mostly) are available in the Student Solutions Manual (mostly the same in 10th and 11th ed), or by clicking the "Solution" button in the electronic version of the 11th ed.

• 1. Wed Jan 3
• 1.1 (p.8): 2, 3, 7, 9. [10th ed (p.
• 1.2 (p.15): 5, 7(b), 9, 12. [10th ed (p.
• 1.3 (p.22): 2, 6, 12. [10th ed (p.24): 2, 8, 17.]
• 2. Fri Jan 5
• 2.1 (p.31): 1, 4, 7, 9, 12, 20, 23. [10th ed (p.39): 1, 4, 11, 13, 20, 30, 33.]
• 3. Mon Jan 8 lecture notes
• 2.2 (p.38): 1, 4, 10(a)(c), 14(a)(c), 19, 21(b). [10th ed (p.48): 1, 6, 10(a)(c), 13(a)(c), 23, 27(b).]
• 4. Wed Jan 10 lecture notes
• 2.3 (p.47): 2, 6, 7, 10, 16(a)(b), 17(a)(b). [10th ed (p.59): 2, 8, 9, 14, 20(a)(b), 21(a)(b).]
• 5. Fri Jan 12 lecture notes
• 2.4 (p.57): 1, 3, 5, 8, 9, 18, 21. [10th ed (p.76): 1, 4, 8, 11, 13, 22, 25.]
• 6. Mon Jan 15 lecture notes
• 2.5 (p.67): 2, 5, 6, 14, 20, 24, 27(a).[10th ed (p.88): 3, 7, 9, 14, 21, 25, 28(a).]
• 7. Wed Jan 17 lecture notes
• 3.1 (p.109): 3, 4, 8, 11, 16, 18, 21. [10th ed (p.142): 3, 5, 10, 15, 21, 24, 28.]
• 8. Fri Jan 19 lecture notes
• 3.2 (p.119): 2, 9, 11, 12, 16, 20, 21. [10th ed (p.155): 2, 12, 14, 15, 21, 25, 26.]
• 9. Mon Jan 22 lecture notes
• 3.3 (p.125): 4, 5, 8, 15, 16, 18, 19, 25. [10th ed (p.164): 5, 7, 11, 22, 23, 25, 27, 34.]
• 10. Wed Jan 24 lecture notes
• 3.4 (p.132): 1, 4, 10, 11, 20, 21. [10th ed (p.172): 1, 5, 12, 14, 25, 27.]
• 11. Fri Jan 26 lecture notes
• 3.5 (p.141): 1, 2, 5, 11, 16(a), 18(a), 24, 25. [10th ed (p.184): 1, 3, 6, 15, 21(a), 24(a), 31, 33.]
• 12. Mon Jan 29 lecture notes
• 3.6 (p.146): 2, 4, 9, 11, 16, 17. [10th ed (p.190): 2, 5, 11, 14, 21, 22.]
• 13. Wed Jan 31
• 14. Fri Feb 2 lecture notes
• 3.7 (p.157): 1, 2, 3. [10th ed (p.203): 1, 4, 6.]
• 15. Mon Feb 5 lecture notes
• 3.7 (p.157): 5, 13, 14, 17, 21. [10th ed (p.203): 9, 19, 20, 24, 29.]
• 16. Wed Feb 7 lecture notes
• 3.8 (p.167): 6, 7, 11, 17. [10th ed (p.217): 10, 11, 15, 22.]
• 17. Fri Feb 9 lecture notes
• 6.1 (p.247): 1, 2, 4, 5, 13, 16, 22. [10th ed (p.315): 1, 2, 5, 6, 16, 21, 29.]
• 18. Wed Feb 14 lecture notes
• 6.2 (p.255): 2, 8, 11, 15, 16. [10th ed (p.324): 2, 11, 15, 20, 22.]
• 19. Fri Feb 16 lecture notes
• 6.3 (p.262): 3, 5, 14, 15, 23. [10th ed (p.333): 4, 7, 20, 21, 33.]
• Mon Feb 19 -- Fri Feb 23: mid-term break
• 20. Mon Feb 26 lecture notes
• 6.4 (p.268): 1, 3, 5, 6, 11abc. [10th ed (p.340): 1, 3, 8, 10, 16abc.]
• 21. Wed Feb 28 lecture notes
• 6.5 (p.273): 1, 3, 4, 5, 9. [10th ed (p.348): 1, 3, 5, 7, 13.]
• 7.1 (p.284): 3, 5, 19. [10th ed (p.363): 4, 6, 22.]
• 22. Fri Mar 2 lecture notes
• 7.4 (p.308): 2, 4, 12. [10th ed (p.394): ?, ?, 6.]
• 7.5 (p.318): 1b, 4b. [10th ed (p.405): 1a, 6a.}
• 23. Mon Mar 5 lecture notes
• 7.5 (p.318): 1, 4, 5, 11, 18, 23. [10th ed (p.405): 1, 6, 7, 15, 25, 31.]
• 24. Wed Mar 7 lecture notes
• 7.6 (p.327): 1bc, 7, 9abc, 13. [10th ed (p.417): 2bc, 9, 11abc, 16.]
• 25. Fri Mar 9 lecture notes
• 7.8 (p.343): 1, 3, 6a, 13. [10th ed (p.436): 1, 3, 7a, 15.]
• 26. Mon Mar 12 lecture notes
• 9.1 (p.397): 1abc, 2abc, 11. [10th ed (p.505): 1abc, 2abc, 13.]
• 27. Wed Mar 14
• 28. Fri Mar 16 lecture notes
• 9.1 (p.397): 4abc, 7abc, 9abc, 14, 15, 17. [10th ed (p.505): 4abc, 7abc, 10abc, 17, 18, 20.]
• 29. Mon Mar 19 lecture notes
• 9.2 (p.406): 4a. [10th ed (p.517): 5a.]
• 9.3 (p.415): 5. [10th ed (p.527): 6.]
• 30. Wed Mar 21 lecture notes
• 9.3 (p.415): 8, 15. [10th ed (p.527): 10, 18.]
• 31. Fri Mar 23 lecture notes
• 9.4 (p.426): 3, 4. [10th ed (p.541): 5, 6.]
• 32. Mon Mar 26 lecture notes (document camera did not work today; actual lecture was not exactly the same as these notes)
• 2.7 (p.82): 1. [10th ed (p.110): 1.]
• 8.1 (p.361): 6ab, 8ab. [10th ed (p.460): 5ab, 7ab.]
• 33. Wed Mar 28 lecture notes
• 8.1 (p.361): 6cd, 8cd, 14, 16, 20, 21, 22a. [10th ed (p.460): 5cd, 7cd, 16, 19, 23, 24, 25a.]
• Additional Practice Problems Optional but recommended, solutions posted next week.
• 34. Wed Apr 4 lecture notes
• 35. Fri Apr 6 lecture notes

### Assigned Homework

Submit your Assigned Homework solutions ON TIME for marks. Homework is due at the beginning of the lecture on the due date. Homework submitted after the beginning of the lecture on the due date will not be marked.

Put your NAME and UBC I.D. NUMBER in the TOP RIGHT corner of the ALL pages.

### Midterm Tests

No notes, books, etc. allowed. No calculators, cell phones, etc. allowed. Numerical answers may be given as "calculator ready".
• Midterm Test 1: Wednesday January 31 (during regular lecture time, 50 min)
• Topics: from beginning of course up to and including 3.4. No compound interest problems.
• Relevant homework: Suggested Homeworks 1 to 10 (i.e. up to Wed Jan 24) except compound interest problems, Assigned Homeworks 1, 2, 3.
• Sample midterm test 1, solutions
• Midterm Test 1 solutions.
• Midterm Test 2: Wednesday March 14 (during regular lecture time, 50 min)
• Laplace transform table provided, trig identities (if required) provided.
• Topics: from 3.5 up to and including 7.5.
• Relevant homework: Suggested Homeworks 11 to 23 (i.e. Fri Jan 26 up to and including Mon Mar 5), Assigned Homeworks 4, 5, 6, 7.
• Sample midterm test 2, solutions
• Midterm Test 2 solutions.

### Final Examination

Link to UBC final exam schedule (MATH215 202 APR 13 2018 12:00 PM)
• Bring UBCcard (or other official photo I.D., if UBCcard is unavailable), it must be checked during the exam.
• Laplace transform table PROVIDED, trig identities (if required) provided.
• ALLOWED: one 8.5 in x 11 in (letter size) sheet of notes, written or printed on both sides.
• No books, additional notes, etc. allowed.
• No calculators, cell phones, etc. allowed. Numerical answers may be given as "calculator ready".
• Topics: same as for both Midterm Tests 1 and 2, plus additional topics covered later in the term up to and including 8.1 on Suggested Homework Problems, above.
• Past final exams (topics covered on past final exams may not all match this term's topics):