Tentative Schedule

 

 

Section numbers refer to:

Elementary Analysis, The Theory of Calculus (2nd Edition), Kenneth Ross, Springer, ISBN: 978-1-4614-6270-5.

The textbook is available in an electronic format through MSU Libraries.

 

Lecture

Date

Section and Topic

Homework

01

07/05 Wed

Sect. 1, Sect. 2

1.2, 1.4, 1.6, 1.8b; 2.2, 2.4, 2.7b, 2.8

02

07/07 Fri

Sect. 2, Sect. 3

Turn in: 3.4, 3.6, 3.7a, 3.8.
Be able to do, but do not turn in: 3.1, 3.3, 3.5

03

07/11 Tue

Sect. 3, Sect. 4

Turn in: 4.6, 4.8, 4.10, 4.14, 4.16. Be able to do, but do not turn in: 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 4.11, 4.13

04

07/12 Wed

Sect. 7, Sect. 8

7.4, 8.2a,c,e, 8.6, 8.8a, 8.10, Prove that the sequence (cos(n*pi/4)) diverges.

05

07/14 Fri

Sect. 9

Turn in: 9.4, 9.6, 9.10, 9.12, 9.14.
Be able to do, but not turn in: 9.8, 9.9, 9.11

06

07/18 Tue

Sect. 10

10.2, 10.5, 10.10, 10.6, 10.7, 10.12, 12.3, 12.4

07

07/19 Wed

Sect. 11

11.4, Prove Th.11.2(iii), 11.7, 11.10, 11.11

08

07/21 Fri

Sect. 14

14.2a,d,e, 14.3d,e, 14.4a,c, 14.6, 14.8, 14.13c,d

09

07/25 Tue

Sect. 15

15.2a, 15.4a,b,d, 15.6a,c, 16.4c, 16.9

10

07/26 Wed

Sect. 17, Review

17.3c,f, 17.4, 17.8, 17.9b,d, 17.10, 17.12, 17.13

11

07/28 Fri

Midterm Exam

 

12

08/01 Tue

Sect. 18

18.2, 18.4, 18.6, 18.8, 18.10

13

08/02 Wed

Sect. 19

19.2b,c, 19.4, 19.5d,f, 19.7 (see hint on back), 19.8 (assume (a)-no need to prove it, and prove (b))

14

08/04 Fri

Sect. 20

20.2, 20.4, 20.6, 20.8, 20.11b (provide a rigorous proof), 20.12, 20.16, 20.18, 20.20

15

08/08 Tue

Sect. 23, Sect. 24

23.1b,d,f,h, 23.2d (see Example 6 in Sect. 23), 23.4, 23.6, 23. 9, 24.2, 24.3, 24.6, 24.8, 24.10, 24.11

16

08/09 Wed

Sect. 24, Sect. 25

25.2, 25.6, 25.8

17

08/11 Fri

Sect. 28

28.2d, 28.3a, 28.7. Do, but do not turn in: 28.4, 28.5, 28.6, 28.8, 28.14

18

08/15 Tue

Sect. 29

Do, but do not turn in: 29.1, 29.2, 29.4, 29.5, 29.7, 29.9, 29.11

19

08/16 Wed

Review

 

20

08/18 Fri

Final Exam