Table of topics and assignments 

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 (LA): Olivera Dimoska     e-mail: odimo001@fiu.edu

Olivera's Help-time outside class: Tue 2:15pm-3:25pm in EC1105; Thu 11:15am-12:25 in EC1116

Video-lectures: My lectures from Spring 2015 -- (you will also find old exams/quizzes, etc) 

                     Video-lectures of Prof. Richard Delaware, Univ. of Missouri (hopefully the youtube link works now)

It may be best for you to follow video-lectures before we cover the corresponding sections. Try to do so.

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 (denoted with *) 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. 

Acknowledgement: Some of the problems in your worksheets are taken from (or are inspired by) materials of Prof. Geoff Podvin, Physics department, FIU (please, don't ask him for solutions though!). The instructor thanks Prof. Podvin for sharing his Calculus materials.

 

Date Topics covered Suggested Assignment Comments
Jan. 10 Very brief review of Chapter 0. 

You should review more on your own
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
. 
We 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. 12 1.1 Limits (intuitive)
1.2 Limits computations
Worksheet 1
1.1 #1-9odd, 17-20all, 23-29odd
1.2 #1-31odd, 33-36all, 37, 39, 40, 43*
This homework (click to see the pdf file) is due Tuesday, Jan. 17,
at the beginning of the class.
Print and solve the problems. You may attach extra paper, if needed. The homework should be stapled and neatly written.
Quiz 1 on Thursday, Jan. 19, covers sections 1.1, 1.2, 1.3.
Jan. 17 1.3 Limits at infinity
Worksheet 2
1.3 #1-5odd, 9-31odd, 43, 44, 46  Last Day to drop the class with refund.
Jan. 19 1.4 Rigorous def. of limit
Quiz 1
1.4 #17-21 all, 27*,29*, 31*
Solution key to quiz 1
These epsilon-delta step-by-step problems should be helpful. (Just #1-10).
Jan. 24 More on 1.4
1.6 Trig. limits
Worksheet 01/24

1.6# 23-35odd, 30, 32, 46*, 51*
 
Jan. 26 1.5 Continuity, IVT

Rest of 1.6
Worksheet 01/26
1.5 #1-5 all, 7-31 odd, 33-35 all, 44*, 47, 48*, 56*

1.6 #1-11 odd, 17-35 odd, 30, 32, 40, 43, 46*, 49, 50, 51*, 52*, 67 (a,b),68(a,b)
Exam 1 is moved to Tuesday, Feb. 7. It covers 
all sections in Chapter 1, plus sections 2.1 and 2.2.
Possible theoretical topics on Exam 1: 
Proof of quadratic formula;
Proof of Theorem 1.6.5 (a) (one of the steps 1or 2); one of the suggested starred exercises.
Jan. 31 2.1 Rates of Change
2.2 The derivative function
Worksheet 01/31
2.1 #1-8, 11-19odd, 23-29 odd
2.2 #1-17odd, 23, 25, 26, 27-30all, 33, 41, 42, 47*, 49* 
 
Feb. 2 More on 2.1, 2.2

Review for Exam 1

Chp. 1 Review Exercises: #1, 5-18all, 25, 28, 29*, 31, 32, 35*, 36*, 37
Extra office hours for Exam 1 (in DM 432B): Monday, Feb. 6, 10-10:50am, 1-2pm

Revue session with Olivera: Friday, Feb. 3, 2pm-4pm in DM 100
Feb. 7 2.3 Rules for derivatives

Exam 1- Version A
            - Version B
2.3 #1-23odd, 29-39odd, 51*, 53*, 55*, 57*, 70*, 73*
(do after exam 1)

Solution key for Exam 1 (version A)
Solution key for Exam 1 (version B)
Homework: Print the version on the Exam 1 that you did NOT have in class and solve it at home. Due Tuesday, Feb. 14. (It is worth the equivalent of a worksheet or quiz. Staple the pages.)
Feb. 9 2.4 Product & Quotient
rules
2.5 Deriv. of trig. functions
2.4 #1-17odd, 25-33odd, 35*, 36*, 37, 38*, 39-41all

2.5 #1-15odd, 21, 25,27a), 31, 32, 35-37all, 39, 44*
 
Feb. 14 2.6 Chain Rule
Worksheet 02/14
2.6 #1-21odd,27-33odd,43,46,61,63,64,67,80*,83*
Quiz 2 on Tuesday, Feb. 21, covers 2.6, 3.1. (note the date and material!)
(I've decided to give you a the weekend to practice the rules for the derivatives.)
Feb. 16 3.1. Implicit Differentiation
Worksheet 02/16
3.1 #1-13odd, 19, 25, 27, 33*   
Feb. 21 3.2 Deriv. of logs
3.3 Deriv. of exp functions
Quiz 2
3.2 #1-27 odd, 31, 35-41odd, 45*, 47*
3.3 #15-41 odd, 71-74, 77, 79 

Solution key for Quiz 2

(sorry, the scanned image is not very good)
Exam 2 on Tuesday, March 7 covers sections 2.2-2.6, 3.1-3.4, 10.1.
Possible theoretical topics (proofs)-- one or two of these will be on the exam:
proof of product rule using the limit definition as in Thm. 2.4.1, or using log. differentiation;
proof of quotient rule using product rule and chain rule, or using log. differentiation;

proof for the derivatives of sin x, cos x using the limit definition (getting formulae (3) or (4) from 2.5);
proof of the formulae of inverse trig. functions (getting one of the formulae (9-12) in 3.3).
Feb. 23 3.3 Deriv. inv. trig.
3.4 Related rates
3.3 #1, 2, 10, 43-53 odd, 65
3.4 #5,7,8,12,13,17-20all,24,29,32,45*
 
Feb. 28 3.4 Rel. Rates
10.1 Param. curves
Worksheet 02/28
3.4 #5,7,8,12,13,17-20all,24,29,32,45*
10.1 #3-17 odd, 23, 41, 42, 45-53odd, 62*
 
Mar. 2 3.5 Loc. lin. approx


Exam 2 review
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, 32,40,45*,49
 
Mar. 7 3.6 L'Hopital
Exam 2
3.6 #1, 3, 4, 7-43odd, 57, 58* (do after Exam 2)
Solution key for Exam 2
Important assignment after Exam 2: watch at home my lecture from Spring 2015
on local linear approximation and l'Hopital
Mar. 9 3.6 l'Hopital
Worksheet 03/09
3.6 #1, 3, 4, 7-43odd, 57, 58* 
You have to be in class for this worksheet.
Spring break homework -- due Thursday, March 23.
No office hours on March 8, 10 or during the spring break. I am out of town.
Mar. 21 4.1 Graphing 1
4.2 Graphing 2
Worksheet 03/21
4.1 #1-7,11-14all,15-27odd,39,40,57*,63-66 
4.2 #1-3all,7,9,15,16,19,21,24,25,37-47odd,51-59odd
 
Mar. 23 4.3 Graphing 3 4.3 #1-5odd,9,11,19,25,31-35odd,39,45-55odd  
Mar. 28 4.4 Abs. max/min
Worksheet 03/28
4.4 #1-6, 7-13odd, 17-20all, 21-27odd
 
Mar. 30 4.5 Optimization
4.5 #1-27odd,43,50,51*,57*
Homework: Due Thursday, Apr. 6.
Pb. 4 from worksheet 03/28
and ONE of the problems 39 or 50 from section 4.5 textbook.
Apr. 4 5.2 Antiderivatives
5.7 Motion
Worksheet 04/04
5.2 # 1,11-25odd,33,43,45,53
5.7 # 5-11odd, 33-41odd
 
Apr. 6 5.3 Substitution Method 5.7 # 5-11odd, 33-41odd Exam 3 on Thursday, April 13 covers 3.5, 3.6, 4.1-4.5, 5.2, 5.3, 5.7.
No theoretical topics on this exam, but star problems may appear.
Apr. 11



Review for Exam 3
Good Pbs from Chap. 3 review: #55, 57, 62, 63*.
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.
Good Pbs from Chap. 5 review: #1-7all, 9, 11, 15-18all, 67, 68, 77, 80.
As in the past, you may find old exams on my webpage. They are useful as practice, but your exam will likely be different.

Review session with Olivera: Wednesday, 04/12/17, DM 164, 2:30pm-4:30pm.

My office hours next week: Monday, Wednesday 1:00 - 2:30pm
(note the change in time, only for the week 04/10 - 14/14)
Apr. 13 Exam 3 Solution key for exam 3  
Apr. 18 4.8 Mean Value Theorem
4.8 #1-7odd, 15, 16, 19, 21, 27*
The final exam is comprehensive. Everything that we covered could be on the final.
Review the three exams and the worksheets. It is probably wise to start your review with the Exam 3, as this material uses a lot of the earlier one. 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 question will be from 4.9 (MVT). No epsilon-delta proofs on final. A theoretical topic from those listed for previous exams, or a starred exercise (or equivalent) may appear on the final as a bonus. Definitions and statements of important theorems (see below) may be exam questions.
Apr. 20 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.
      Office hours for the final exam:
Friday, April 21, 10am-12noon; Monday, April 24, 10am-12noon, 1-2:30pm.

Review session: Sunday, April 23, 12-1:30pm in DM 110
Apr. 25 Final Exam
9:30-11:45
regular room