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 (LA): Olivera Dimoska

LA Help-time outside class: Fridays 1-3pm in GC 280

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 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. 12 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. 14 2.1 Rates of Change 2.1 #1-8, 11-19odd, 23-29 odd Homework (review) -- due Tuesday, Jan 19 --
solve as much as you can from these 20 problems
Proof of quadratic formula is a possible theoretical exam topic (see your notes)
Jan. 19 1.1 Limits (intuitive)
1.2 Limits computations
Worksheet week 2		 1.1 #1-9odd, 17-20all, 23-29odd
1.2 #1-31odd, 33-36all, 37, 39, 40, 43*
page 1   page 2    page 3		  
Jan. 21 1.3 Limits at infinity 1.3 #1-5odd, 9-31odd, 50*, 52* Quiz 1 on Tuesday Jan. 26 covers sections 1.1, 1.2, 1.3.
Jan. 26 1.6 Trig. limits
Quiz 1		 1.6# 23-35odd, 30, 32, 46*, 51*
Solution key quiz 1 (scroll down - first page empty)		  
Jan. 28 1.5 Continuity, IVT

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

1.6 #1-11 odd, 17-29 odd, 30, 32, 40, 43, 46*, 49, 50, 51*, 52*, 67 (a,b),68(a,b)		 Exam 1 on Tuesday, Feb. 9. It covers 
all sections in Chapter 1, plus section 2.1.
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.
Feb. 2 Worksheet week 4
1.4 Epsilon-delta 
definition of limit		 Solution key of Worksheet week 4

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.
Feb. 4 More on 1.4

Review for Exam 1

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.
Review session for Exam 1: Sunday, Feb. 7, 2:00-3:30pm in DM 409A.
Feb. 9 2.2 The derivative function

Exam 1		 2.2 #1-17odd, 23, 25, 26, 27-30all, 33, 41, 42, 47*, 49* (do after exam 1)

Solution key for Exam 1		 New: A WileyPlus section has been opened for this class. See the attached flyer.
I will not assign online homework through WileyPlus, so you do not have to buy the access code.
 But for those of you that have the access code (you probably have one if you bought the new  textbook from the FIU bookstore), you'll have access to the pdf version of the text, practice problems, applets, etc. These may help you.
Feb. 11 2.3 Rules for derivatives

2.4 Product & Quotient
rules 		2.3 #1-23odd, 29-39odd, 51*, 53*, 55*, 57*, 70*, 73*

2.4 #1-17odd, 25-33odd, 35*, 36*, 37, 38*, 39-41all		 Quiz 2 on Thursday, Feb. 18, covers sections 2.2, 2.3, 2.4
Feb. 16 2.5 Deriv. trig. functions

2.6 Chain Rule		 2.5 #1-15odd, 21, 25,27a), 31, 32, 35-37all, 39, 44*

2.6 #1-21odd,27-33odd,43,46,61,63,64,67,80*,83*		 2.5 and 2.6 will not be on Quiz 2, but the sooner you practice will all rules for differentiation, the better!
Feb 18 Review of Chapter 2
Quiz 2		 Solution key of Quiz 2 It is very important that you learn fast all differentiation techniques. Next week we'll finish this
and you'll have to be able to compute derivatives well and fast!
Feb. 23 3.2 Deriv. logs
3.3 Deriv. exp.
Worksheet week 7		 3.2 #1-27 odd, 31, 35-41odd, 45*, 47*
3.3 #15-41 odd, 71-74, 77, 79
  
Feb. 25 3.3 Deriv. inv. trig.
3.1 Implicit Diff		 3.3 #43-53 odd, 65
3.1 #1-13odd, 19, 25, 27, 29*, 33*		 No office hours on Monday, Feb. 29. These will be rescheduled.
No quiz on Mar. 1. You'll have just a group worksheet.
Mar 1 3.4 Related rates.

Worksheet week 8
 3.4 #5,7,8,12,13,17-20all,24,29,32,45*

 Exam 2 on Tuesday, March 8 covers sections 2.2-2.6, 3.1-3.4
Possible theoretical topics (proofs)-- one 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 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).
Mar 3 3.5 Loc. lin. approx


Exam 2 review		 3.5 #1-9odd,23,27,29,34,51,55,63,67

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		 Office hours for Exam 2:
Friday, March 4, 10:00am-1:00pm (Olivera is available after 1:00pm in GC 280)
Monday, March 7, 10:00am-2:00pm.
Mar 8 3.6 l'Hopital
Exam 2		 3.6 #1, 3, 4, 7-43odd, 57, 58*
 
Mar 10 more 3.6 Spring Break homework (due Tuesday, March 22) Have a good Spring Break!
No office hours on Friday, March 11.
Mar 22 4.1 Graphing 1
4.2 Graphing 2
Worksheet week 10		 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		 Here is your grade so far (last column in the table). In the first column (in increasing order),
you'll find the first 5 digits of your Panther ID. Drop-deadline is Monday, March 21.
If your average is below or close to the 65% mark, you should make a decision by March 21.
The last part of the material is a bit more challenging and scores are usually (but not always) lower.
Mar 24 4.3 Graphing 3
 4.3 #1-5odd,9,11,19,31-35odd,39,45-55odd
  
Mar 29 4.4 Abs. max/min
Worksheet week 11		 4.4 #1-6, 7-13odd, 17-20all, 21-27odd
  
Mar 31 4.5 Optimization
Optimization worksheet		 4.5 #1-27odd,43,50,51*,57*
Solutions for Pbs 5 and 6 from optimization worksheet		 Homework due Tuesday, Apr. 5: Problems 5 and 6 from the Optimization Worksheet (see left)
Apr. 5 5.2 Antiderivatives
5.7 Motion 
Worksheet week 12		 5.2 # 1,11-25odd,33,43,45,53
5.7 # 5-11odd, 33-41odd, 42		 Exam 3 is moved to Tuesday, April 19 (note the date) will cover sections 3.5, 3.6, 4.1-4.5, 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); one of the starred exercises
Apr. 7 5.3 Substitution 5.3 #1,3,5,15-59odd,71,76,77*  
Apr. 12 More on 5.3, 5.7

4.9 MVT		 Additional office hours: Wednesday, April 13, 10:30-12:30

4.9 #1-7odd, 15, 16, 19, 21, 27*, 29*, 30*, 31*, 35*, 36* (do these after Exam 3)		  
Apr. 14 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 Chapter 5 review: #1-7all, 9, 11, 15-18all, 65, 68, 69, 77, 80.

  
Apr. 19 Exam 3 Solution key for Exam 3 Here is the grade book, including your scores on exam 3. In the last column you can see your overall percentage thus far (before the final exam). The Tot-wq column has your score on quizzes and worksheets with lowest two dropped.  In the first column, you'll find the first 5 digits of your Panther ID (in increasing order).
Apr. 21 4.9 More on MVT
10.1 Param. curves		 4.9 #1-7odd, 15, 16, 19, 21, 27*, 29*, 30*, 31*, 35*, 36*
10.1 # 3-17 odd, 23, 41, 42, 45-53odd, 62*		  
Apr. 26 More on 10.1
Worksheet week 15		 see above problems
 Final Exam: Tuesday,  May 3, 9:45-11:45am, PC 213 (Main Campus). Note the day, time and location!
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 4.9 (MVT) and one from 10.1 (parametric curves), as these sections were not tested before.  No theoretical topics (nor epsilon-delta proofs) on final, but one 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. 28 Review for Final Exam 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: Friday, April 29, 10am-1:00pm,
Monday, May 2, 10am-12:30pm, 1:30-2:30pm
Tuesday,
May 3		 Final Exam,
9:45-11:45am,
in PC 213 (Charles E. Perry building, main campus)

Note the day, time and location!		 Try to arrive early. If the room is free, we'll start at 9:30 so that you have some extra time. Your scores on the final exam (out of 150pts) and your grade for the class.

Have a good summer!