METU-NCC Math

    Math 219 Introduction to Differential Equations (Fall 2014)

This page is for archival purposes only!
Students should use ODTU-Class


The problems from the textbook below are simple, standard examples of basic problems. We suggest that you use them to check your understanding of material from the lectures. The problems suggested from below are in edition 9 of the textbook.

Week 1:
Sept.22-26
1 Introduction, Directional Fields
Chapter 2. First Order Differential Equations
§2.2: # 1--4, 9--12 (part (a) only), 31, 34, 36, 38
2 §2.1: # 2--4, 9--12 (part (c) only), 13, 15, 19, 20, 28, 31
Week 2:
Sept.29-
Oct.3
3 §2.3: # 1--5, 19
4 §2.4: # 1--16, 23--25, 27(a), 28
§2.6: # 1--4, 9--10, 19--20, 25--26
Week 3:
Oct.6-10
5
Chapter 7. Systems of First Order Linear Equations
§7.1: # 1, 3, 5, 6
§7.2: # 21--25
6 §7.3: # 4--8, 13--15, 20--25
Week 4:
Oct.13-17
7 §7.4: # 6, 7
§7.5: # 7--8, 11--12, 15--18, 24--27, 31
8 §7.6: # 5--10, 13, 19
Week 5:
Oct.20-24
9 §7.7: # 5, 7, 9, 12
10 §7.8: # 1, 3, 5, 8, 11--12 (part (a) only), 17--18, [19--21 for advanced students]
§7.9: # 3, 10, 11
Week 6:
Oct.27-31
11
Chapter 4. Higher Order Linear Equations
§4.1: # 2--4, 11, 16, 23--24
Week 7:
Nov.3-7
12 §4.2: # 19--23, 28, 30
13
Chapter 3. Second Order Linear Equations
§3.2: # 1--2, 8--9, 13--14, 17--18
Week 8:
Nov.10-14
14 §3.3: # 7--9, 17--19
15 §3.4: # 8--10, 25, 26, 29
Week 9:
Nov.17-21
16 §3.5: # 5, 8, 14, 16, 21--24 (part (a) only)
17 §4.3: # 1--3, 10, 13--16
Week 10:
Nov.24-28
18 §3.6: # 14--17, 20
19 §3.7: # 5, 7, 15, 17, 19--20
Week 11:
Dec.1-5
20 §3.8: # 5, 7 (parts (a) & (c) only); 6, 8 (parts (a), (b), & (d) only)
21
Chapter 6. The Laplace Transform
§6.1: # 5, 13, 15, 26, 27
§6.2: # 8, 9, 10, 15, 18, 23
Week 12:
Dec.8-12
22 §6.3: # 10, 11, 12, 14, 15, 16, 18, 20, 21, 22
23 §6.4: # 4, 10, 11, 13, 16
Week 13:
Dec.15-19
24 §6.5: # 3, 5, 9, 12
§6.6: # 1, 2, 6, 10, 14, 16
25
Chapter 10. Partial Differential Equations and Fourier Series
§10.1: # 3, 5, 8
Week 14:
Dec.20-26
26 §10.2: # 13, 15, 18
27 §10.4: # 16, 17, 18
Week 15:
Dec.29-30
28 §10.5: # 2, 5, 8
FINAL EXAM

If you are using edition 8 of the textbook, you should make the following modifications:

  • Questions for 7.3 should be 3-5, 8-10, 12-14, 18, 19-24
  • Questions for 6.3 should be 8, 9, 11, 12, 14, 15, 17
  • Section numbers 3.4 - 3.8 should be 3.5 - 3.9.