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):  Amir Estil-Las   aesti004@fiu.edu       Help Hours: Mondays and Wednesdays 2-3pm in Ryder 130

Video-lectures: My lectures from Spring 2015 -- (a different textbook was used, but the material covered will be mostly the same)

Day# Date Topics covered Suggested assignment Comments
0 before
06/17		   Get the textbook with the MyLabsPlus (MLP) code.
The MLP system will be active for you on Monday, 06/17. You should start working on the MLP assignments immediately.		 Most of the problems in the suggested assignment recorded on the previous column are part of your online homework
(which you must do). Occasionally, the suggested assignment may contain additional problems.
Although these will not be collected, you are strongly advised to do them, as they can appear on exams.
1 06/17 2.1 Rates of change and tangent lines
Worksheet 06/17
 2.1 # 1-11 odd,15-19 odd, 25,26 (as the online assignment)


 Completion of the square for the general quadratic function and the proof of the quadratic formula (see notes or video) is a possible exam topic.
2 06/18 2.2 Limit laws

2.4 Limit computations
Worksheet 06/18
 2.2 #1-15odd, 19-23odd, 29, 35-49odd, 57, 61-65odd, 77-81odd (as in MLP)

2.4 #1-5odd, 9-17odd, 23, 25, 31, 33, 37-41odd, 48, 49 (last two problems are not in MLP)
  
3 06/19 More on 2.4 - trig. limits
 see above and this Worksheet 06/19 Each of the three steps in the proof of Theorem 7 in section 2.4 is a possible exam topic.
4 06/20 2.6 Limits involving infinity; asymptotes
Worksheet 06/20
 2.6 #1, 3, 7-15odd, 21-25odd, 29, 39, 45-57odd, 69, 71, 75, 79, 87, 89 (as in MLP)
 Quiz 1 on limits computations (sections 2.2, 2.4 and 2.6) on Monday, June 24.
5 06/24 2.5 Continuity, IVT

Quiz 1		 2.5 #1-9odd, 13-17odd, 23, 25, 29, 30, 33, 37-41odd, 45, 47, 69-77odd
(larger than online -- pbs after 47)

Solution key of quiz 1		  
6 06/25 3.1 Derivative at a pt.
3.2 Derivative function		 3.1 # 3, 5, 9, 11, 15, 17, 21, 23, 25, 29 (as online)
3.2 # 1, 3, 7, 9, 13-23odd, 27-41odd, 45-49odd, 55 (as online)		  
7 06/26 3.3 Basic rules
3.4 Deriv. as rate of change		 3.3 # 1, 5, 7, 11-17odd, 23, 27, 31, 33, 39, 41, 45, 53, 57, 59, 61, 65, 69, 71 (as online)
3.4 # 3-15odd, 18, 31 (as online)		 Exam 1 on Monday, July 1 (note the change compared to syllabus) covers sections
2.1, 2.2, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.4.
Proofs you need to know (one of these will be an exam question):
Proof of qudratic formula;
Each of the three steps in the proof of Theorem 7 in section 2.4;
Proof of the positive integer power rule (see bottom of page 138 in section 3.8)
8 06/27 3.5 Deriv of trig. functions
Review for Exam 1		 3.5 # 1, 2, 5, 7, 12, 16, 19, 35, 45, 47, 63, 64 (as online) - do these after Exam 1
  
9 07/01 Exam 1 Solution key for Exam 1  
10 07/02 3.6 The Chain Rule 3.6 #1, 3, 5, 9, 13, 17, 21, 25, 31, 33, 43, 49, 53, 61, 77, 89, 101 (as online)  
11 07/03 3.8 Deriv of logs 3.8 # 1-7odd, 11, 15, 17, 21, 27, 29, 41, 51, 63, 69, 71, 77, 89
(as online)		 No class on Thursday, July 4. Happy 4th!

I will hold an extra class on Friday, July 5, in Ryder 130, starting at 11:45. No new material will be covered, but I will answer questions from what we covered so far.

Quiz 2 on Tuesday, July 9, on derivative computations (sections 3.5, 3.6, 3.8).
12 07/08 3.9 Inverse trig 3.9 # 1-5odd, 9-15odd, 21, 23, 31, 33, 37, 41 (as online)  
13 07/09 3.7 Implicit Differentiation
Quiz 2		 3.7 #1, 4, 11, 15, 23, 29, 33, 45 (as online)

Solution key for quiz 2		  
14 07/10 3.10 Rel. rates
3.11 Linearization		 3.10 # 1, 3, 7, 11, 13, 17, 21, 23, 27, 33, 37, 39 (as online)
3.11 #1-19 odd, 25, 33, 39, 41, 43, 49, 51, 53 (as online)		 Exam 2 on Monday, July 15, covers all sections between 3.3 and 3.11 (including these).
Possible theoretical questions (one or two of these will be on the exam):
getting the formulas for the derivative of sin x or cos x using the limit definition of the derivative (p. 154, 155 textbook);
getting the formulas for the derivative of tan x, sec x, cot x, csc x, as in example 5, p. 157 textbook;
use logarithmic differentiation to prove the general power rule for derivatives (p. 181 textbook);
use logarithmic differentiation to prove the quotient rule;
getting one of the formulas for the derivative of inverse trig. functions.
15 07/11 Review for Exam 1    
16 07/15 Exam 2 Solution key for Exam 2  
17 07/16 4.8 Antiderivatives

5.5 Substitution		 4.8 # 1-15odd, 19, 23, 25, 29, 31, 35, 47, 51, 59, 91, 95, 97, 105, 107 (as online)
5.5 # 1-11 odd, 17-25 odd, 31, 47, 55, 61, 73, 79 (as online)		  
18 07/17 4.5 l'Hopital 4.5 # 1, 5, 9, 13, 15, 19, 33, 37, 41, 44, 45, 51, 60, 63, 75, 79
(as online)		  
19 07/18 4.3 Graphing 1

4.4 Graphing 2		 4.3 # 1-7odd, 11, 15-19odd, 27, 29, 37, 41, 71, 73, 77, 83 (as online)
4.4 # 1-5 odd, 13, 17, 21, 25, 31, 35, 41, 45, 51, 59, 63, 77, 85, 89, 105, 113, 117 (as online)		 Homework 1 - due Monday, July 22.

Homework 2 - due Tuesday, July 23.
20 07/22 4.1 Abs. min/max

4.6 Optimiztion		 4.1 # 1-9odd, 15-19odd, 23, 25, 31, 35, 45, 47, 51, 61, 63
(as online)
4.6 # 1, 5, 7, 11, 14, 24, 29, 33, 45, 51, 53 (as online)		 The final exam is comprehensive, but it will emphasize the sections not covered on Exams 1 and 2. There will be some problems from earlier material.
21 07/23 More on 4.6
4.2 MVT		   In this excel file you can see your (approximate) overall percentage and grade thus far. It is "approximate" because I have not included yet the online homework.
22 07/24 11.1 & 11.2
Review for the final		   New: There will be one proof question on the final. This will be chosen from:
--Proof of the product rule (using either the limit definition of derivative or logarithmic differentiation);
--Proof of the quotient rule (again, anyone of several available options);
--Proof of the formulas for the derivative of sin x or cos x using the limit definition of the derivative (p. 154, 155 textbook);
--Proof of one of the formulas for the derivative of inverse trig. functions;
--Proof for the formulas of velocity and position for rectilinear motion with constant acceleration (see your notes, or Pb. 129 section 4.8 in your textbook).
23 07/25 Final Exam   In this file you can find your score on the final (first column out of 150pts, second column as a percentage). Your grades are now available in Panthersoft.
Have a good rest of the summer!