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):  Fantasia Whaley       fwhal002@fiu.edu                Help Hours: Mondays and Wednesdays, 3-4pm in DM 409C     

Day# Date Topics Covered Suggested assignment Comments
0     1. Check the syllabus and get the MyLabsPlus (MLP) code.
Assignments in MLP will be available on Monday, Aug. 26.
2. Do at least the integration problems (9. Antiderivatives) from this
bank of Calculus 1 problems         Answers can be found here		  
1 8/27 5.1 Area
5.2 Sums and Riemann sums
Prerequisite test		 5.1 # 1, 3, 7, 9, 13
5.2 # 5, 7, 13-23odd, 31, 32, 33, 35, 37, 43, 45
 Do BOTH the online AND the suggested assignments.
For most sections, the online assignment is just a subset
of the suggested assignment.
2 8/29 5.3 Definite integral
Worksheet 8/29
 5.3 # 1, 5, 9-19odd, 23, 41, 43, 71, 75*, 82*
 I've changed a bit the dates for some of the coming MLP assignments.
Hopefully we have a regular class on Tuesday. Be safe!
3 9/03 No class. Dorian.    
4 9/05 5.4 FTC 5.4 # 1-23odd, 27, 31, 39, 45, 47, 57, 61, 62 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.
5 9/10 Leibniz's rule (see top of p. 366)
5.5 Substitution method (quick review)
5.6 Substitution for def. integrals
 #29, 31, 33, 37, page 366 (new!)

5.5 see the online assignment
5.6 # 5-13odd, 25, 29, 31, 49, 53, 57, 65, 68
 Proof of Leibniz's rule is a potential exam topic:
you can learn either the proof I presented in class (using FTC part A),
or the proof in the book (see right column of page 366) which uses FTC part B.
6 9/12 7.1 Ln as integral, more subs

More on 5.6 -- areas between curves
Worksheet 9/12
 7.1 # 1-5odd, 9-19odd, 25, 29, 49, 51

5.6 -- see above


 Quiz 1 on Tuesday 9/17 covers sections 5.4-5.6, 7.1 (no proofs on quizzes)
7 9/17 6.1 Volumes with cross-sections
Quiz 1		 6.1 # 17-23odd, 32, 33, 41, 43, 47-57odd, 2, 5,15,16
Solution key for quiz 1
  
8 9/19 6.1 Volumes with cross-sections
Worksheet 9/19
 6.1 -- see above

  
9 9/24 6.2. Volumes with cylindrical shells

 6.2 # 1-9odd, 15, 17, 23, 25, 29, 32, 36, 39

 Exam 1 is postponed to Tuesday, October 1. Still covers sections 5.1 through 5.6, 7.1, 6.1 and 6.2.
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
Proof of Leibniz's rule (either the proof presented in class based on FTC part A and chain rule or the proof in the book - see right column of page 366 - which uses FTC part B and chain rule.
10 9/26
6.3 Arclength
Review for Exam 1
6.3 # 1, 5, 14, 17, 19 (do after Exam 1)
 Worksheet 9/19 is now a homework due on Thursday 9/26.
11 10/01 Exam 1 Solution key for exam 1 Review Session for Exam 1:
Sunday, Sep. 29, 1-2:30pm in PC 331.
12 10/03 6.4 Surface area

11.1 Param. curves 1
11.2 Param. curves 2
6.4 # 1, 3, 13, 19 (do after Exam 1)

11.1 #1, 2, 5, 7, 9, 11, 15
11.2 # 26, 32
 From 11.1, I am happy if you study just graphing some parametric curves (usually by elliminating the parameter). Examples 1 through 5 in the textbook are relevant for this.
From section 11.2, you can limit your study to Examples 4, 5 and 9 from the textbook, and the ones
I presented in class
13 10/08 8.1 More subs
8.2 Integration by parts
Worksheet 10/08		 8.1 # 1-11odd, 17, 21, 27
8.2 # 1-15odd, 23, 32-35all, 45, 51, 61, 63, 69*, 70*		  
14 10/10 8.3 Trig. integrals
Worksheet 10/10		 8.3 # 3, 4, 7, 13, 17, 35, 37, 41, 64, 71 The worksheet 10/10 is now a homework due Tuesday, Oct. 15.
15 10/15 8.4 Trig. Subs.

8.6 Integrals with tables; reduction formulas.
Worksheet 10/15		 8.4 # 1-9odd, 16, 17, 25, 58*, 61

8.6 #1-15 odd

Solution key for worksheet 10/15
  
16 10/17 8.5 Partial Fractions

Worksheet 10/17		 8.5 # 1, 5, 9, 15, 21, 25, 29, 33, 77*

Solution key for worksheet 10/17
 The worksheet 10/17 is now a homework due Tuesday, 10/22.
17 10/22 8.7 Numerical Integration

8.8 Improper Integrals		 8.7 # 3, 9, 23, 28*

8.8 # 1, 3, 5, 11, 13, 42, 69, 71, 73
(do after Exam 2)		 Exam 2 on Tuesday, October 29, covers sections 6.3, 6.4, 11.1, 11.2, and sections 8.1-8.7 (but 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
18 10/24 More on 8.8
Review for Exam 2		   Review session (with Fantasia): Sunday, Oct. 27, 1:00-2:30pm in PC 424
Study halls in GL 120; Friday 3-5pm, Monday 10-11am (with the tutors there).
Office hours (with me in DM 432B) : Monday 11am-12:50pm, 2-3pm;
                      (with Fantasia in DM 409C) : Monday 3-4pm.
19 10/29 Exam 2 Solution key for Exam 2  
20 10/31 11.3 Polar Coordinates
11.4 Graphing with polar coords.		 11.3 # 1-7odd, 11-17odd, 27, 33, 35, 47, 55, 57, 63
11.4 # 1-7odd, 25		  
21 11/05 11.5 Areas with polar coords.
Worksheet 11/05-homework
 11.5 # 1, 5, 6, 9, 11

 The Worksheet 11/05 is a homework due Tuesday, Nov. 12.
22 11/07 10.1 Sequences 10.1 # 3, 7, 11, 15-23odd, 31-39odd, 43-49odd, 57, 67, 103, 107*, 121, 123  
23 11/12 10.2 Series 10.2 # 1-11odd, 17-21odd, 22, 23, 25, 31-41odd, 45, 53-71odd, 104*  
24 11/14 10.3 Integral Test
10.4 Comparison Tests		 10.3 # 1, 2, 6, 13-19odd, 23, 28, 37, 39, 61*
10.4 # 1-23odd, 31, 34		  
25 11/19 10.5 Absolute convergence; Ratio Test
 10.5 # 1, 3, 20, 21, 27, 37, 43

  
26 11/21 10.6 Alternating Series Test;
Conditional convergence		 10.6 # 1, 4-7all, 15-23odd, 47, 59, 61, 69, 70 Homework due Tuesday, Nov. 26.
27 11/26 10.7 Power Series
10.8 Taylor series		 10.7 # 1-11odd, 14, 17, 30, 50, 53 (after Exam 3)
10.8 # 1-5odd, 11, 13, 15, 19, 21 (after Exam 3)
 Exam 3, on Tuesday, Dec. 5, covers sections 8.8, 11.3, 11.4, 11.5, 10.1 through 10.6.
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.
--The area formula in polar coordinates (bottom of page  689 and  top of page 690).
  11/28 Happy Thanksgiving!   Review session (with me): Sunday, Dec. 01, 11:30am-1:30pm in PC 424.
Extended Office hours for Exam 3: Monday, Dec. 02, 10am-3pm (in DM 432B).
28 12/03 Exam 3 Solution key for Exam 3
 Final Exam is NOT in the regular room. It is held in Room 165, Paul Cejas Architecture bldg.
 on Tuesday, Dec. 10, 12:00-2:00pm
29 12/05 More on 10.7 and 10.8 Final exam is comprehensive, so you should review all previous midterms and worksheets.
Also, expect one question from 10.7 and one question from 10.8.
You'll NOT have anything from sections 10.9 and 10.10 (Taylor Theorem and error estimates), as I didn't have time to cover those.

Office hours for final: Friday and Monday, 1-3pm.

Review session (with me): Sunday, Dec. 8, 11am-1pm, in PC424.
Review session (with tutors from GL): Monday, Dec. 9, 4-6pm in GL 120.		 Theoretical topics (proofs) for the final exam:
FTC, each of the parts
(in the text, Theorem 4-Part 1, page 332-333 is part (ii) in my pdf-file
and Theorem 4-Part 2, page 334 is part (i) in my pdf-file);
Integration by parts formula ;
The geometric series theorem ;
The p-series test (from the integral test) (see Example 3, p. 602 text);
The area formula in polar coordinates (see bottom of page  689 and  top of page 690).
30 12/10 Final Exam -
12-2pm in Architecture bldg. 165