Table of topics, assignments and other info

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

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

Learning Assistants (LAs): Rodolfo Guerrero rguer054@fiu.edu  , Rudnei Moran rmora112@fiu.edu

They are students who did well in Calculus in previous semesters. But do not expect them to be able to answer all your questions! For more difficult problems, see me.

Updated hours for LAs - Starting Sep. 08, one of the LAs will be available at these times and places:

Mo 2:30-3:30pm DM409A (outside or inside), Tu & Th 2:30-3:30pm GC 279A, We 1:30-2:30pm DM 409A.

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 10% 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 Suggested Assignment Comments
Before Aug. 26
 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).
Aug. 26
First Class		 Prerequisite Test
2.1 Rates of Change		 Here is a blank copy of the Prerequisite Test
1-8, 11-19odd, 23-29 odd		 You may submit corrections to your Prerequisite Test for half the credit by Tue. Sep. 2.
Best is if you solve again the entire test on a separate copy (see left) and submit.
Aug. 28 1.1 Limits (intuitive)
1.2 Limits computations		 1-9odd, 17-20all, 23-29odd
1-31odd, 33-36all, 37, 39, 40, 43*		 As preparation for limits, watch lectures 04 and 05-06 of Prof. Delaware.
Here is a solution key for the Prerequisite Test
Sep. 2 1.3 Limits at infinity
Worksheet week 2		 1-5odd, 9-31odd, 50*, 52*

 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
Sep. 4 1.6 Trig. lims
1.4 Rigorous lim. def.		 23-35odd, 30, 32, 46*, 51*, 52*
1, 3, 19, 20, 21, 23, 29*, 31*, 33*		 Quiz 1 on Tuesday Sep. 8 covers sections 1.2, 1.3, 1.6 (just the part we did).
Sep. 9 More on 1.4
Worksheet week 3
Quiz 1
Solution key for Quiz 1
 There is no video-lecture of Prof. Delaware to correspond to section 1.4.
These epsilon-delta step-by-step problems should be helpful. (Just #1-10)
They are from the calculus.org site.
Sep. 11 1.5 Continuity, IVT
 1-5 all, 7-31 odd, 33-35 all, 44*, 47, 48*, 56*
 Exam 1 is moved to Tuesday, Sep. 23. It still covers
all sections in Chapters 0 and 1, plus section 2.1.
Emphasis will be on Chapter 1.
Sep. 16 Rest of 1.6
Worksheet week 4		 1-11 odd, 17-29 odd, 30,32,40,43,46*,49,50,51*,52*,67 (a,b),68(a,b)
Solution key for Worksheet 4		 Possible theoretical topics on Exam 1: Proof of quadratic formula;
Proof of Theorem 1.6.5 (a); one of the suggested starred exercises.
Sep. 18 2.2 The derivative function


Review for Exam 1
 1-17odd, 23, 25, 26, 27-30all, 33, 41, 42, 47*, 49* (do after Exam 1)


Chp. 1 Review Exercises: #1, 5-18all, 25, 28, 29*, 31, 32, 35*, 36*, 37		 Searching my website -- see the previously taught courses link on my main page -- 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.
Sep. 23 2.3 Basic rules for derivative
Exam 1		 1-23odd, 29-39odd, 51*, 53*, 55*, 57*, 70*, 73* (do after Exam 1)
Solution Key for Exam 1 		Try to understand your mistakes on exam 1 and not repeat them in the future. A blank copy of the exam is now posted (see link on left column).
Sep. 25 2.4 Product & quotient rule
 1-17odd, 25-33odd, 35*, 36*, 37, 38*, 39-41all  Chapter 2 is covered in lectures 9-12 of Prof. Delaware
Sep. 30 2.5 Deriv. trig. functions
Worksheet week 6		 1-15odd, 21, 25,27a), 31, 32, 35-37all, 39, 44*
Solution for Worksheet 6		 Quiz 2 on Thursday, Oct. 2, covers sections 2.3, 2.4, 2.5
(but no chain rule on this quiz).
Oct. 2 2.6 Chain Rule
Quiz 2		 1-21odd,27-33odd,43,46,61,63,64,67,80*,83*
Solution Key for Quiz 2		  
Oct. 7 3.2 Deriv. logs
3.3 Deriv. exp.
Worksheet week 7		 1-27 odd, 31, 35-41odd, 45*, 47*
15-41 odd, 71-74, 77*, 78*, 79*
Solution for Worksheet 7		 Quiz 3 on Thursday, Oct. 9, covers sections 2.6, 3.2, 3.3
(chain rule, logs and exp. functions but no inverse trig.)
Oct. 9 3.3 Deriv. inv. trig.
3.1 Implicit Diff.
Quiz 3A  Quiz 3B		 43-53 odd, 65, 7*, 9*, 10* (for 7,9,10 also show the function is 1-1)
1-13odd, 19, 25, 27, 29*, 33*
Sol. key Quiz 3A    Sol. key Quiz 3B		  
Oct. 14 3.4 Rel. Rates
10.1 Param. curves
Worksheet week 8		 5,7,8,12,13,17-20all,24,29,32,45*
3-17 odd, 23, 41, 42, 45-53odd, 62*
Solution for Worksheet 8
 Homework due Tuesday, Oct. 21 -- Pbs. 2 & 3 of Worksheet 8
Oct. 16 3.5 Loc. lin. approx 1-9odd,23,27,29,34,51,55,63,67 Exam 2 on Thursday Oct. 23 covers sections
2.2-2.6, 3.1-3.5 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.
Oct. 21


Review for exam 2

Chap. 2 Review: 15-20all, 25*,26*,27*,28-32all, 33,35*
Chap. 3 Review: 3-5all,7,10,12, 15-35odd, 32,40,45*,49		 Searching my website -- see the previously taught courses link on my main page -- 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.
Oct. 23 Exam 2 Solution key for Exam 2 Extra office hour: Wednesday Oct. 22, 11:30-13:00
No office hour on Friday, Oct. 24
Oct. 28 3.6 l'Hopital's rule
Worksheet week 10		 1, 3, 4, 7-43odd, 57, 58*
The worksheet 10 is due on Tue. Oct. 30.		 This is your overall percentage so far (in last column of the file).
I dropped the two lowest quizzes/worksheets score.
I used last 5 digits of Panther ID. If only 4 digits show, put a 0 in front.
Oct. 30 4.1 Graphing 1
4.2 Graphing 2
 1-7,11-14all,15-27odd,39,40,57*,63-66 
1-3all,7,9,15,16,19,21,24,25,37-47odd,51-59odd
Happy Halloween!		 The grade scale is on the syllabus .
I will be quite strict on the 65% minimum for a C.
Drop deadline is Monday, Nov. 3.
Nov. 4 4.3 Graphing 3
Worksheet week 11		 1-5odd,9,11,19,31-35odd,39,45-55odd
 Worksheet 11 is not collected for grade, but review it, as the problems
are good.
Nov. 6 4.4 Abs. max/min
4.5 Optimization		 1-6, 7-13odd, 17-20all, 21-27odd
1-27odd,43,50,51*,57*		 4.5 Optimization is an extremely important section.
Try to do all suggested problems.
Nov. 11 No class. Veteran's Day.
University closed.		    
Nov. 13 more on 4.5 see the problems above and the due homework (in the next column) Homework due Thursday Nov. 20
Nov. 18 4.9 Mean Value Theorem
5.2 Antiderivatives
Worksheet week 13		 1-7odd, 15, 16, 19, 21, 27*, 29*, 30*, 31*, 35*, 36*
1,11-25odd,33,43,45,53

 Here is the flyer of the FIUTeach program that you heard
about in a previous class. The hard copy that some of you got
in class contained an old course number. It has changed from
SMT 2990 to SMT 2993.
Nov. 20 5.3 Substitution method
5.7 Motion		 1,3,5,15-59odd,71,76,77*
5-11odd, 33-41odd, 42		 Homework due Tuesday, Nov. 35, the entire Worksheet 13
Nov. 25 Worksheet week 14

Review for Exam 3
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,
76 (a,b), 78.

Extra office hours
(starting Monday Nov. 24 until the end of the semester):
MWF 10:30am-12:30noon + regular hours MF 1-2:30pm
(no hours on Friday, Nov. 28, and other changes possible )		 Exam 3 on Tuesday, Dec. 2, covers sections
3.6, 4.1-4.5, 4.9,5.2,5.3,5.7.
Possible theoretical topics for Exam 3: Derivation of formulas (10), (11)
from section 5.7
(equations of velocity and position in the case of constant acceleration);
Proof of Theorem 4.1.2 (using MVT, as done in section 4.8);
Proof of MVT using Rolle's Thm. (see Thm. 4.8.2 in the text, or your worksheet).
Nov. 27 No Class. Happy Thanksgiving!    
Dec. 2 Exam 3 Solution key for Exam 3  
Dec. 4 Review for Final Concepts you should know and understand well: 
two-sided vs. one sided limits; link between limits at infinity and horizontal asymptotes; indeterminate forms for limits; the epsilon-delta definition of limit;
definition of continuity; statement of Intermediate Value Theorem IVT; 
the limit definition of the derivative; geometric and physical interpretations of derivative;
tangent lines to graphs and the link with local lin. approximation;
the link between the shape of a graph and the sign of the first and second derivative;
definition of critical points and their types; definition of inflection points;
statement of MVT; relation between position, velocity, acceleration in rectilinear motion;
definition of anti-derivative.		 Techniques you should master: computation of limits (with or without l'Hopital); computing derivatives with all the rules involved (including knowing to find some basic derivative formula using the definition or previous formulas, 
knowing formulas for derivative of inverse trig. functions and how to derive them, knowing when and how to apply logarithmic differentiation); implicit differentiation; graphing basic parametric curves and finding their tangent lines (section 10.1);
related rates pbs; finding the local linear approximation near a given point;
graphing function with all that is involved; finding absolute max/min;
optimization problems; rectilinear motion problems;
computing anti-derivatives using basic formulas and the method of substitution.

Possible theoretical topics (proofs)-- one of these might 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.

For your practice, here is the final exam given last semester.
And here is its solution key. Be aware that your exam is likely to be quite different.
Dec. 9 Final Exam 9:30-11:45am, EC 1112 (note the different room) Office hours: Friday, Dec. 5, 11am-1:00pm,
Monday, Dec. 8, 9:00-9:50am, 11:00am-2:30pm
    Here is a blank copy of the final exam and here is its solution key.  
    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.  
       
    Happy Holidays!