Table of topics, assignments and other info

Textbook: Calculus, Early transcendentals, H. Anton & others, 10th edition. Info on what/where to buy.

Tutoring services (including online) and other useful info follow this link . There you will also find a link for the complete solution manual - requires username/password which I'll give in class. 

Exams: For tentative schedule see the syllabus. The structure of the exams will be roughly as follows: about 80% is at the level of  standard suggested problems and 20% at the level of more difficult suggested problems or theoretical topics (proofs that you will be asked to know). There is always a small bonus which may test your creativity and capacity to reason. In the suggested assignment below, the more challenging problems are denoted with a star. You should do enough of the suggested problems to be sure you understand the technique and/or idea behind them. If you have troubles with the suggested problems, particularly the standard ones, be sure to ask for help (my office hours, the tutoring services, colleagues, the LAs).

You may find useful the free version of the WolframAlpha computer software system . You can use this system at home to check your work, but it is essential that you are able to do computations on your own, not just rely on the software package. For your exams you will not be allowed any kind of electronic devices. 

Video-lectures of Prof. Richard Delaware, Univ. of Missouri. You may be asked to follow (and take notes with paper and pencil) these lectures before we cover the corresponding sections. Try to do so.

Date Topics covered/
Videos		 Suggested Assignment Comments
Before
first class		 Cover on your own!
Chapter 0 - Review		 0.1 - 1-17odd, 19-22all, 27, 29, 31
0.2 - 1-11odd, 31-37odd, 51, 53, 59, 67, 68
0.3 - 1, 2, 9, 31, 33
0.4 - 1, 10-14all, 17-19all, 22, 35-41odd, 25*, 26*, 29*
0.5 - 1, 5, 9, 11-29odd, 32, 42*, 48, 55, 56		 Here is a list of prerequisite topics for Calculus. 
This algebra review may also be useful.
I expect you to cover on your own at least sections 0.1, 0.2, 0.3 before the
beginning of the semester. I may go over parts of sections 0.4, 0.5 in class,
later in the course.
The first 3 lectures of Prof. Delaware cover Chapter 0. Please watch them (see link above).
Jan. 13 Diagnostic Test
2.1 Rates of Change
Video lecture 1/13
Solve at home the diagnostic  test and submit, together with your class copy, by Tue Jan. 20.
Review Chapter 0 or buy the ALEKS preparatory module for Calculus (go to http://www.aleks.com/fiu  )
and try to get to at least 75% on it.
Starred exercises are more challenging or more theoretical.


Here is the solution key of the diagnostic test.
Jan. 15 Review
rest of 2.1
Video lecture 1/15
2.1 pbs #1-8, 11-19odd, 23-29 odd 		Proof of quadratic formula (see notes or video)
is a possible exam topic
Jan. 20 1.1 Limits (intuitive)
1.2 Limits computations
Video 1/20		 1.1. #1-9odd, 17-20all, 23-29odd
1.2 #1-31odd, 33-36all, 37, 39, 40, 43*
Worksheet week 2 (This is due for grading on Thursday, Jan. 22)		 Last Day to drop the class with refund.
Here is another possibly useful website for you
The step-by-step solved problems sections looks good
Jan. 22 1.3 Limits at infinity

Video 1/22		 1.3 #1-5odd, 9-31odd, 50*, 52*

1.6 #23-35odd, 30, 32, 46*, 51*, 52*
  
Jan. 27 part of 1.6 Trig. limits

Video 1/27
Worksheet week 3 (This is due for grading on Thursday, Jan. 29)
 Solution key for worksheet week 3
Jan. 29 1.4 Epsilon-delta
definition of limit
Video 1/29
 1.4 #1, 3, 19, 20, 21, 23, 29*, 31*, 33*

 These epsilon-delta step-by-step problems should be helpful. (Just #1-10). They are from the calculus.org site.
New office hours for rest of the semester (starting Feb. 2):
Mon 12:30-2:00pm, Fri 12:00-1:30pm
Feb. 3 1.5 Continuity, IVT
Video 2/3		 1.5 #1-5 all, 7-31 odd, 33-35 all, 44*, 47, 48*, 56*
 Exam 1 on Tuesday, Feb. 10. It covers 
all sections in Chapters 0 and 1, plus section 2.1.
Emphasis will be on Chapter 1.
Possible theoretical topics on Exam 1: Proof of quadratic formula;
Proof of Theorem 1.6.5 (a) (one of the steps); one of the suggested starred exercises.
Feb. 5 Rest of 1.6

Review for Exam 1
Video 2/5		 1.6 #1-11 odd, 17-29 odd,30,32,40,43,46*,49,50,51*,52*,
       67 (a,b),68(a,b)

Chp. 1 Review Exercises: #1, 5-18all, 25, 28, 29*, 31, 32, 35*, 36*, 37
 Searching my website, you'll find exams given in past semesters.Working on past exams is helpful, but the ideal practice is to solve all of the suggested homework problems. Each such problem may be an exam question.
Feb. 10 2.2 The derivative function
 2.2 #1-17odd, 23, 25, 26, 27-30all, 33, 41, 42, 47*, 49* (do after Exam 1)
 Exam 1 is moved to Thursday, Feb. 12. No change in topics. Bring photo ID.
Feb. 12 Exam 1 Here is the solution key of Exam1. Office hours for Monday, Feb. 16 are cancelled.
I'll have office hours instead on Wed. Feb. 18, 11:00am-1:00pm
Feb. 17 2.3 Basic deriv. rules

2.4 Product & quotient rule
 Video 2/17		 2.3 #1-23odd, 29-39odd, 51*, 53*, 55*, 57*, 70*, 73*
 

2.4 #1-17odd, 25-33odd, 35*, 36*, 37, 38*, 39-41all 
Feb. 19 2.5 Deriv. trig. functions
2.6 Chain Rule
Video 2/19		 2.5 #1-21odd,27-33odd,43,46,61,63,64,67,80*,83*

2.6 #1-21odd,27-33odd,43,46,61,63,64,67,80*,83*
 Quiz 1 on Tuesday, Feb. 24 covers 2.3, 2.4, 2.5 (no chain rule on this quiz). I'll mainly test you on derivative computations on this quiz.

Worksheet/Homework week 6 - due for grading Tuesday, Feb. 24
Feb. 24 3.2 Deriv. logs
3.3 Deriv. exp
Quiz 1
 Video 2/24		 3.2 #1-27 odd, 31, 35-41odd, 45*, 47*
3.3 #15-41 odd, 71-74, 77*, 78*, 79*
Solution key for Quiz 1
  
Feb. 26 3.3 Deriv. inv. trig.
Video 2/26		 3.3 #43-53 odd, 65, 7*, 9*, 10* (for 7,9,10 also show the function is 1-1)

  
Mar. 3 3.1 Implicit Diff.

Video  3/3		 3.1 #1-13odd, 19, 25, 27, 29*, 33*
 Exam 2 on Thursday, March 19, covers sections 2.2-2.6, 3.1-3.4 and 10.1
Possible theoretical topics (proofs)-- one of these will be on the exam:
Thm. 2.4.1 (prod. rule), getting formulae (3) or (4) from 2.5,
getting one of the formulae (9-12) in 3.3.
Mar. 5 3.4 Rel. Rates
10.1 Param. curves
Video 3/5		 3.4 #5,7,8,12,13,17-20all,24,29,32,45*
10.1 #3-17 odd, 23, 41, 42, 45-53odd, 62*
Homework -- due for grading Tuesday, March 17		 Searching my website, you'll find past exams. These are helpful, but the ideal practice is 
to solve all of the suggested homework problems. Each such problem may be an exam question.
Mar. 10 No class Have a nice Spring Break!  
Mar. 12 No class   Nobody asked me until Monday 03/16, but Pb. 1 in your homework is not clear:
should read -- "find point where the tangent line to the curve ... is horizontal."
Mar. 17 3.5 Loc. lin. approx

Review Exam 2
Video 3/17		 3.5 #1-9odd,23,27,29,34,51,55,63,67 (do after Exam 2)

Chap. 2 Review: #15-20all, 25*,26*,27*,28-32all, 33,35*
Chap. 3 Review: #3-5all,7,10,12, 15-35odd, 32,39*, 40,45*,49, 59		 Office hours: Wednesday, March 18, 10:00am-12:00noon.
Office hours for Friday, March 20 are cancelled.
Mar. 19 Exam 2
Solution Key for Ex2		 Your score on Exam 2 (the column before the last one)
and your overall percentage so far (last column)		 Note that drop-deadline is Monday, March 23.
Office hours for Monday, March 23, 2:30-4:00pm (note the different time).
Mar.24 3.6 l'Hopital's rule
Video 3/24		 3.6 #1, 3, 4, 7-43odd, 57, 58* 
  
Mar. 26 4.1 Graphing 1

Video 3/26
 4.1 #1-7,11-14all,15-27odd,39,40,57*,63-66 

Worksheet week 10 -- due for grading Tuesday, March 31		 Office Hours for Friday, Mar. 27 are cancelled.
Instead, I have office hours Monday, March 30, 11:00am-2:00pm.
Mar. 31 4.2 Graphing 2
4.3 Graphing 3
Video 3/31		 4.2 #1-3all,7,9,15,16,19,21,24,25,37-47odd,51-59odd
4.3 #1-5odd,9,11,19,31-35odd,39,45-55odd		 Solution key for Worksheet 10
Apr.2
 4.4 Global max/min
4.5 Optimization
Video 4/2		 4.4 #1-6, 7-13odd, 17-20all, 21-27odd
4.5 #1-27odd,43,50,51*,57*
Worksheet week 11 -- due for grading Tuesday, April 7		 Optimization is an extremely important section.
Try to do all suggested problems from 4.5.
No office hours on Friday, Apr. 3.
Instead, I have office hours Monday, April 6, 11:00am-2:00pm.
Apr. 7 more on 4.5
5.2 Anti-derivatives
Video 4/7		 5.2 #1,11-25odd,33,43,45,53 Solution key for Worksheet 11
Apr. 9 5.3 Substitution method
5.7 Part of 5.7
Video 4/9		 5.3. #1,3,5,15-59odd,71,76,77*
5.7. #5,7,39,40
Worksheet week 12 --due for grading Thursday, April 16		  
Apr. 14 4.8 Mean Value Thm
Video 4/14		 4.8 #1-7odd, 15, 16, 19, 21, 27*, 29*, 30*, 31*, 35*, 36* (do after Exam 3) Exam 3 on Tuesday April 21 covers sections 3.5, 3.6, 4.1-4.5,
5.2, 5.3, 5.7.
Section 4.8  is not covered on Exam 3, but will be covered on the final
Apr. 16 Review for exam 3
Video 4/16		 Good Pbs from Chap. 4 review: 1-7all, 13, 15, 17*, 22, 23, 29,
37-44 (complete graph for all), 52, 54(a,c), 55(b,c), 60, 61, 63, 78.		 Possible theoretical topics for Exam 3: Derivation of formulas (10), (11) 
from section 5.7 or one of the star exercises from the suggested hwk.
Apr. 21 Exam 3 Solution key for Exam 3  
Apr. 23 Review for final The final exam is comprehensive. Everything that we covered could be on the final. 
Review the three exams and the worksheets. If you have time to review section by section -- this would be best --try to understand what are the central ideas in each section and do a couple of problems from each. One problem will be from 4.8 (MVT), as this section was not tested before. No theoretical topics (nor epsilon-delta proofs) on final.
Definitions and statements of important theorems (see on the left) may be exam questions.		  
Apr. 28 Final exam
9:30-11:45 regular room		    
    In this table you'll find your score on the final exam (out of 150pts) and your grade for the class (in the 3rd column). I used the first 5digits of you PantherID.  
    Have a good Summer!