MATH 427K. Advanced Calculus for Applications I.

General Information

• Syllabus
• Text web site http://bcs.wiley.com/he-bcs/Books?action=index&bcsId=4506&itemId=0470383348
• CLIPS web site https://utdirect.utexas.edu/nrport/clips_admv.WBX?&s_component=0&s_semester_ccyys=20099&s_class_unique=57700
• Department of Mathematics

Flu prevention: In determining the homework and quiz scores, the lowest quiz and two lowest homework scores will be dropped. If you feel you may have the flu, please stay home!

Homework Exercises, Quizzes, and Exams

Exam 3. Th 11/19 Covering §5.3 to §7.5. A table of Laplace transforms will be available (no calculators allowed).

Problem Set 20. Practice: §7.1 # 4 and §7.5 # 18, 19, 20, 29, 31
Due: Th 11/12 §7.1 # 5 and §7.5 # 13, 15

Problem Set 19. Practice: §7.2 # 24 and §7.3 # 13, 16, 21 and §7.4 # 5 and §7.5 # 16
Due: Tu 11/10 §7.2 # 22 and §7.3 # 22 and §7.5 # 4

Problem Set 18. Practice: §7.2 # 1, 7 and §7.3 # 1, 3, 7
Due: Th 11/5 §6.6 # 14

Problem Set 17. Practice: §6.5 # 2, 10, 16 and §6.6 # 1, 3, 8, 15, 19, 22
Due: Tu 11/3 §6.5 # 4 [the solution only--no graph] and §6.6 # 7, 9

Problem Set 16. Practice: §6.2 # 14, 17, 24 and §6.3 # 9, 14, 19 and §6.4 # 8, 11
Due: Th 10/29 §6.2 # 16 and §6.3 # 17 and §6.4 # 2 [the solution only--no graph]

Problem Set 15. Practice: §5.4 # 17 and §5.5 # 2, 8, 13 and §6.1 # 1, 6, 11 and §6.2 # 1, 7
Due: Tu 10/27 §5.5 # 1, 16 and §6.1 # 5

Exam 2. Th 10/22 Covering §3.1 to §5.2, but skip §3.7-8 (no calculators).
    A-     90
    B-     80
    C-     70
    D-     60
    Mean 84.0     St. Dev. 12.7     Median 88

Problem Set 14. Practice: §5.3 # 3, 6, 11 and §5.4 # 4, 6
Due: Tu 10/20 §5.3 # 10, 12 and §5.4 # 11

Problem Set 13. Practice: §5.2 # 8, 14, 19
Due: Th 10/15 §5.1 # 23 and §5.2 # 6

Problem Set 12. Practice: §4.3 # 2, 8, 17 and §4.4 # 2, 7, 17 and §5.1 # 2, 7
Due: Tu 10/13 §4.3 # 3, 14 and §4.4 # 1

Problem Set 11. Practice: §4.1 # 2, 7, 18 and §4.2 # 2, 11, 15, 17, 37
Due: Th 10/8 §4.1 # 8 and §4.2 # 20

Problem Set 10. Practice: §3.5 # 13, 28 and §3.6 # 2, 14, 28 and §3.7 # 2 and §3.8 # 9
Due: Tu 10/6 §3.6 # 9, 29 and §3.7 # 7

Quiz 2. W 9/30
Find the general solution to y'' - y' - 2y = 0 (or y'' + y' - 2y = 0: there seems to be disagreement as to what was written on the blackboard).

Problem Set 9. Practice: §3.4 # 19, 23 and §3.5 # 4, 6, 13
Due: Th 10/1 §3.4 # 26 and §3.5 # 3

Problem Set 8. Practice: §3.2 # 22, 25, 28 and §3.3 # 1, 6, 21, 29 and §3.4 # 4, 13, 16,
Due: Tu 9/29 §3.2 # 14 and §3.3 # 11, 19 and §3.4 # 6

Exam 1. Th 9/24 (in the recitation session) up to and including §2.7.
    A-     90
    B-     80
    C-     70
    D-     60
    Mean 84.0     St. Dev. 16.5     Median 90

Problem Set 7. Practice: §3.1 # 10, 12, 20, 27 and §3.2 # 4, 8, 9
Due: Tu 9/22, §3.1 # 4, 28 and §3.2 # 2

Problem Set 6. Practice: §2.6 # 19, 23, 24, 27 and §3.1 # 5, 13
Due: Th 9/17, §2.6 # 26

Problem Set 5. Practice: §2.6 # 3, 8, 17
Due: Tu 9/15, §2.6 # 10, 18 and §2.7 # 1(a)

Quiz 1. F 9/11
Solve y' = xy², y(0) = 2

Problem Set 4. Practice: §2.5 # 3, 14, 16, 17
Due: Th 9/10, §2.5 # 7, 11

Problem Set 3. Practice: §2.2 # 12, 17, 23, 30 and §2.4 # 2, 8, 11, 18, 27
Due: Tu 9/8, §2.1 # 21 and §2.2 # 4 and §2.4 # 5, 22

Problem Set 2. Practice: §2.1 # 4, 14, 24, 31, 32 and §2.2 # 3, 6
Due: Th 9/3, §1.2 # 13 and §2.1 # 19, 30

Problem Set 1. Practice: §1.2 # 4, 5, 8, 17 and §1.3 # 2, 14, 25
Due: Tu 9/1, §1.2 # 1 and §1.3 # 10

Problem Set 0. Practice: §1.1 # 4, 9, 14, 15, 20, 23
Due: None