Table of topics and assignments 

Textbook: Thomas’ Calculus, Early transcendentals, by Hass, Heil, Weir, 14th edition, with the MyLabsPlus access code (for online homework). All new textbooks sold in the FIU bookstore come with the MyLabsPlus access code. You could also buy just the MyLabsPlus access code (which gives electronic access to the textbook). ISBN for textbook + access code : 9780135430903;  ISBN for access code alone:  9780135420683 .

Learning Assistant (LA):  Christian Rodriguez    crodr477@fiu.edu         Help hours: Mondays 11:00-12:00noon outside DM 409A,  Tuesdays, 11:00-12:30 in GC 280

Day# Date Topics Covered Suggested assignment Comments
0     Get the textbook and the MyLabsPlus (MLP) code
Start your online assignments (first couple are review of Calc 1)		 Do BOTH the online AND the suggested assignments.
For most sections, the online assignment is just a subset
of the suggested assignment.
1 1/08 5.1 Area
5.2 Sums and Riemann sums		 5.1 # 1, 3, 7, 9, 13
5.2 # 5, 7, 13-23odd, 31, 32, 33, 35, 37, 43, 45		 Example 4 in section 5.2 (proof for Gauss's sum) is a potential theoretical topic for the first exam.
2 1/10 5.3 Definite integral
5.4 FTC		 5.3 # 1, 5, 9-19odd, 23, 41, 43, 71, 75*, 82*
5.4 # 1-23odd, 27, 31, 39, 45, 47, 57, 61, 62		  
3 1/15 More on 5.4 - Proof of FTC
Worksheet 1/15
5.4 see above
Worksheet 1/15 is a homework due Thursday 1/17.

Solution key of worksheet 1/15		 Both steps in the proof of FTC (Theorem 4-part1, Theorem4-part2 in section 5.4)
are potential theoretical topics for the first exam. You can assume without proof MVT for integrals (Thm. 3).
Here is the proof, close to my class presentation. You should add a picture.

Change in my office hours (effective immediately) - new hours:
Wednesdays 11:00am-1:00pm, Tuesdays, Thursdays 2:30-3:00pm, or by appointment.
4 1/17 5.5 Substitution method (quick review)
5.6 Substitution for def. integrals
7.1 Ln as integral, more subs		 5.5 see the online assignment
5.6 # 5-13odd, 25, 29, 31, 49, 53, 57, 65, 68
7.1 # 1-5odd, 9-19odd, 25, 29, 49, 51		 Quiz 1 on Tuesday 1/22 covers sections 5.4-5.6, 7.1 (no proofs on quizzes)
5 1/22 More on 5.6 - areas between functions
6.1 Volumes with cross-sections
Quiz 1		 5.6 see above
6.1 # 17-23odd, 32, 33, 41, 43, 47-57odd, 2, 5, 15, 16;
Solution key of quiz 1 (from Christian)
  
6 1/24 6.2. Volumes with cylindrical shells 6.2 # 1-9odd, 15, 17, 23, 25, 29, 32, 36, 39;
 Deadline for online homework on section 6.1 is (and stays) Monday, Jan. 28. I extended the deadline
for 6.2 to Wednesday, Jan. 30.
7 1/29 6.3 Arclenth
 6.3 # 1, 5, 14, 17, 19
 No office hours on Wednesday, Jan. 30. I'll make it up with extra office hours before your first exam.
8 1/31 6.4 Area of surfaces of revolution
Review for Exam 1		 6.4 # 1, 3, 13, 19
 Exam 1 on Thursday, Feb. 7, covers all material up to (and including) section 6.4.
Proofs you need to know for Exam 1.
Gauss's sum formula -- Example 4, page 313, section 5.2.
Proof of FTC, each of the parts -- Theorem 4-Part 1, page 332-333 text
                                  and Theorem 4-Part 2, page 334 text
9 2/05 6.5 Work (no fluid forces)
Worksheet 2/05
 6.5 # 1, 7, 9, 13, 19, 21, 23 (do these after Exam 1)
Solution key of worksheet 2/05
 Extra office hours (in DM 432B): Monday, Feb. 04, 1-3pm.
Revue session with Christian (in GC 279B): Wednesday, Feb. 06, 2-4pm.
10 2/07 Exam 1 Solution key of Exam 1  
11 2/12 More on work
8.1 More subs
8.2 Integration by parts
8.1 # 1-11odd, 17, 21, 27
8.2 # 1-15odd, 23, 32-35all, 45, 51, 61, 63, 69*, 70*		 Obtaining one of the reduction formulas is a potential theoretical topic for next exam.
So is the proof of the integration by parts formula.
12 2/14 8.3 Trig. integrals
 8.3 # 3, 4, 7, 13, 17, 35, 37, 41, 64, 71
Homework due Tuesday, Feb. 19.
13 2/19 8.4 Trig. Subs.
 8.4 # 1-9odd, 16, 17, 25, 58*, 61
 Quiz 2 postponed to Thursday, Feb. 21, still covers 8.1, 8.2, 8.3 (no 8.4)
14 2/21 8.5 Partial Fractions
Quiz 2		 8.5 # 1, 5, 9, 15, 21, 25, 29, 33, 77*
Solution key for quiz 2		 Solution key for the homework due 2/19
15 2/26 8.6 Integrals with tables and reduction
formulas
8.7 Numerical Integration
 8.6 #1-15 odd

8.7 # 3, 9, 23, 28*
 I added a suggested homework from 8.6 and I include this section on the exam.
16 2/28 8.8 Improper Integrals 8.8 # 1, 3, 5, 11, 13, 42, 69, 71, 73 (do after exam 2) Exam 2 on Thursday, March 7, covers section 6.5 and all sections 8.1-8.7 (no 8.8).
Theoretical topics (proofs); Integration by parts formula, getting one of the reduction formulas,
or one of the other starred exercises in the suggested homework
17 3/5 More on 8.8
Review for Exam 2		   Review session with Christian: Wednesday, March 6, 2-4pm, room GC 279B.

Office hours for Exam 2 (in DM 432B):
Monday, March 4, 1-3pm; Wednesday, March 6, 11am-2pm.
18 3/7 Exam 2 Solution key of Exam 2
Assignment over Spring break:
Do the homework on improper integrals (suggested and online)
and start reading the sections 11.2-11.5 (review 11.1, if necessary).
I will not spend too much time on them in class.		 Have a good Spring break!

Update: As of Thursday, March 14, 5pm, I am still not done grading
your exam. Hope to be done soon and will send you
the excel file with the grades so far by e-mail. Sorry for the delay.
19 3/19 11.2 Parametric curves
11.3 Polar Coordinates
11.4 Graphing with polar coords.		 11.2 # 1-7odd, 23, 26
11.3 # 1-7odd, 11-17odd, 27, 33, 35, 47, 55, 57, 63
11.4 # 1-7odd, 25		  
20 3/21 11.5 Areas with polar coords.


 11.5 # 1, 5, 6, 9, 11

This is a worksheet/homework due Tuesday, March 26.
 Quiz 3 on Thursday, March 28, from 11.3, 11.4, 11.5.
21 3/26 10.1 Sequences
 10.1 # 3, 7, 11, 15-23odd, 31-39odd, 43-49odd, 57, 67, 103, 107*, 121, 123  
22 3/28 10.2 Series
Quiz 3		 10.2 # 1-11odd, 17-21odd, 22, 23, 25, 31-41odd, 45, 53-71odd, 104*
Solution key for quiz 3		  
23 4/2 10.3 Integral Test
 10.3 # 1, 2, 6, 13-19odd, 23, 28, 37, 39, 61*
  
24 4/4 10.4 Comparison Tests

 10.4 # 1-23odd, 31, 34

This is a worksheet/homework due Tuesday, April 9.		 Exam 3 is postponed to Tuesday, April 16. Still covers all sections done between 8.8 and 10.6 (including these).
Theoretical topics (proofs):
--The geometric series theorem (stated on the bottom of page 592 textbook and proved in the lines  above)
--The p-series test (from the integral test) (done in Example 3, p. 602)
--The simple comparison test (or "direct" comparison test)  -- Theorem 10 on top of page 607.
25 4/9 10.5 Absolute convergence; Ratio Test
10.6 Alternating Series Test
10.5 # 1, 3, 20, 21, 27, 37, 43

10.6 # 1, 4-7all, 15-23odd, 47, 59, 61, 69, 70		  
26 4/11 10.7 Power Series
10.8 Taylor series		 10.7 # 1-11odd, 14, 17, 30, 50, 53 (do these after exam 3)
10.8 # 1-5odd, 11, 13, 15, 19, 21 (do these after exam 3)		 Office hours for Exam 3: Monday, April 15, 10am-3pm (in DM 432B);
Review session with Christian: Monday, April 15, 2-4pm, room PC 425.
27 4/16 Exam 3
 Solution key of exam 3
 Office hours for the final exam:
Friday, April 19, 11am-1pm; Monday, April 22, 10am-3pm (in DM 432B)

Review sessions (conducted by the Center for Academic Success in GL 120):
Friday, April 19, 9am-11am;
Monday, April 22, 3-5pm (hours confirmed)
28 4/18 10.9 Convergence of Taylor series
10.10 Applications of Taylor series
 10.9 # 1, 10, 13, 19, 39, 41, 45
10.10 # 1, 15, 19		 Theoretical topics (proofs) for the final exam:
FTC, each of the parts -- Theorem 4-Part 1, page 332-333 text
                                        and Theorem 4-Part 2, page 334 text;
Integration by parts formula (on bottom on page 466 and top of page 467;
The geometric series theorem (stated on the bottom of page 592 textbook and proved in the lines  above);
The area formula in polar coordinates (bottom of page  689 and  top of page 690).

Final Exam on Tuesday, April 23, 12-2:00pm in GC 280