Table of topics and assignments and other info
Textbook: You will get free access to WileyPlus and, hence, free access to the electronic version ofTutoring services (including online) and other useful info: see this link .
Learning Assistants (LAs): Hillal Ibiyemi -- e-mail: hibiy001@fiu.edu , Olivera Dimoska -- e-mail: odimo001@fiu.edu
LAs Help-time outside class: Hillal -- TuTh 11:30-12:00noon in PG6, room 115 (regular class); Olivera -- Mo 11am-1pm in AHC3 room 215; Fr 4pm-6pm in DM 194
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 |
| Aug. 23 | 1.1 Limits (intuitive) |
1.1. # 1, 3, 7, 9, 10, 11, 13a, 17-23 odd – 11th edition; Same #s for 10th edition |
|
| Aug. 25 |
Worksheet 8/25 1.2 Computing limits |
1.2 # 3-9odd, 15-37odd, 20, 26 – 11th edition; Same #s for 10th edition |
Quiz 1 on Thursday, Sep. 1, covers sections 1.1, 1.2, 1.3. |
| Aug. 30 | 1.3 Limits at infinity Worksheet 8/30 |
1.3 #1-5odd, 9-31odd, 35, 36, 38 – 11th edition
(or #1-5odd, 9-31odd, 43, 44, 46 – 10th edition) |
New: I
posted
this power point also on my main
page for further tutorial on WileyPlus and its
features. If you feel your PreCalculus background is not good try the ORION from WileyPlus. But do so, while still working on the sections we are covering. |
| Sep. 1 | 1.4 Rigorous def. of limit Quiz 1 |
1.4 #17-21 all, 27*,29*, 31*; Same #s for 10th edition |
|
| Sep. 6 | 1.5 Continuity Worksheet 9/06 |
1.5 #1, 3, 8, 9-25 odd, 29, 47; Same #s for 10th
edition |
|
| Sep. 8 | 1.6 Trig. Limits Worksheet 9/08 |
1.6 # 1, 3 11-29odd, 41,
53 --11th edition; (# 1, 3, 23-37odd, 49, 67 --
10th edition) |
Sections 1.7 and 1.8 are
mostly review from precalculus and you have the
task of doing this review mostly on your own. I
will review briefly some facts on inverse trig.
functions, exp and log functions when we'll talk
about the derivatives of these functions. Suggested problems from these sections are: 1.7 # 1, 7, 11, 13, 14, 21-23all, 25, 27 -- 11th edition 1.8 # 1-37odd, 49-63 odd -- 11th edition |
| Sep. 13 | 2.1
Rates of change 2.2 Def. of derivative Worksheet 9/13 |
2.1 #1-6all,
11-19odd, 23-27odd, 26 (same in 10th edition) 2.2 #1-17odd, 23, 25, 26, 27-30all, 33, 41, 42, 47*, 49* (same in 10th ed.) |
Exam 1 on
Tuesday, Sep. 20 (one week earlier than
announced in the syllabus) will cover Chapter 1,
sections 1.1 through 1.6 (no questions from 1.7 and 1.8) and sections 2.1 and 2.2. Possible theoretical topics on Exam 1: Proof of Theorem 1.6.5 (a) (one of the steps 1or 2); one of the suggested starred exercises; one of the harder exercises from the worksheets. |
| Sep. 15 |
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. |
| Sep. 20 | Exam 1 | Solution key for exam 1 (courtesy of Hillal) | Hillal will
conduct a review session on Saturday, Sep. 17,
12:00-2:00pm in PC 212 (Charles Perry building) (note it will NOT be in DM409 as intially announced in class); I will hold extra office hours on Monday, Sep. 19, 1:00-3:00pm in my office, DM 432B; Olivera is available Friday 4pm-6pm in DM 194 and Monday 11am-1pm in AHC3 room 215. |
| Sep.22 | 2.3
Rules for derivatives Worksheet 9/22 |
2.3 #1-23odd, 29-39odd, 45, 47, 51*, 75 (same in 10th ed.) | Note1: some changes
occured in the suggested assignment for this
section. Note2: second page of the worksheet can be done after product and quotient rules. |
| Sep. 27 | 2.4
Product & quotient rule 2.5 Deriv of trig functions Worksheet 9/27 |
2.4 #11-19odd, 23, 27,
31, 33, 35* (same in 10th edition) 2.5 #1-15odd, 21, 25, 27a, 31, 32, 35-37, 39, 44* (same in 10th edition) |
|
| Sep. 29 | 2.6
Chain Rule Worksheet 9/29 |
2.6 #1-21odd,27-33odd,43,46,61,63,64,67,80*,83* (same in 10th edition) |
Quiz 2 on Tuesday, Oct. 4, covers sections 2.3, 2.4, 2.5, 2.6. |
| Oct. 4 | 3.1
Implicit differentiation Quiz 2 |
3.1 #1-13odd,
19, 25, 27, 33* (same in 10th edition) Solution key for quiz 2 |
|
| Oct. 6 | No class - Matthew | ||
| Oct. 11 | 3.2
Deriv. of logs 3.3 Deriv. of exp functions Worksheet 10/11 |
3.2 #1-27 odd, 31, 35-41odd, 45*, 47* (same in
10th ed) 3.3 #15-41 odd, 71-74, 77, 79 (same in 10th ed) |
|
| Oct. 13 | 3.3
Deriv. of Inv. trig. Worksheet 10/13 |
3.3 #43-53 odd, 65
(same in 10th ed) |
Exam 2 on
Tuesday, October 25 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) in 2.5); proof of the formulae of inverse trig. functions (getting one of the formulae (9-12) in 3.3). |
| Oct. 18 | 3.4 Rel. Rates Worksheet 10/18 |
3.4 #5,7,8,12,13,17-20all,24,29,32,45*,46* |
|
| Oct. 20 | 3.5
Local linear approx. Review for Exam |
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 Solution key for exam 2 in Spring 2016 (the one you received as worksheet in class) |
Hillal will
conduct a review session on Saturday, Oct. 22,
10:00am-12:00noon in PC 212 (Charles Perry building); I will hold extra office hours on Monday, Oct. 21, 1:00-3:00pm in my office, DM 432B; Olivera is available Friday 4pm-6pm in DM 194 and Monday 11am-1pm in AHC3 room 215. |
| Oct. 25 | Exam 2 | Solution key for Exam 2 |
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, October 31. If your average is below or close to the 65% mark, you should make a decision by October 31. The last part of the material is a bit more challenging and scores are usually (but not always) lower. |
| Oct. 27 | 3.6
l'Hopital Worksheet 10/27 |
3.6 #1, 3, 4, 7-43odd, 57, 58* (same
in 10th ed) |
Quiz 3 on Tuesday, Nov. 1 covers 3.5 and 3.6. |
| Nov. 1 |
4.1 Graphing 1 Quiz 3 |
4.1 #1-7,11-14all,15-27odd,39,40,57*,63-66 (same in 10th) |
|
| Nov. 3 | 4.2
Graphing 2 4.3 Graphing 3 Worksheet 11/03 |
4.2
#1-3all,7,9,15,16,19,21,24,25,37-47odd,51-59odd
(same in 10th) 4.3 #1-5odd,9,11,19,25,31-35odd,39,45-55odd (same in 10th) |
This is
the flyer on the
FIUTeach program advertised today ( in case you may be interested) |
| Nov. 8 | 4.4
Abs. max/min Worksheet 11/08 |
4.4 #1-6, 7-13odd, 17-20all, 21-27odd |
|
| Nov. 10 | 4.5
Optimization Worksheet 11/10 |
4.5 #1-27odd,43,50,51*,57* |
| Nov.15 | 5.2 Antiderivatives 5.7 Motion (added late) Worksheet 11/15 |
5.2 # 1,11-25odd,33,43,45,53 5.7 # 5-11odd, 33-41odd |
Exam 3 on Tuesday Nov. 29 covers
sections 3.5, 3.6, 4.1-4.5, 5.2, 5.7 (added late), 5.3. No theoretical topics on this exam. As in the past, you may find old exams on my webpage. They are useful as practice, but your exam will likely be different. |
| Nov. 17 | 5.3 Substitution Method Worksheet 11/17 |
5.3 #1,3,5,15-59odd,71,76,77* |
|
| Nov. 22 | 10.1. Param. curves Worksheet 11/22 Review for exam 3 |
10.1 # 3-17 odd, 23, 41, 42, 45-53odd, 62* (do after 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. |
Review Session with Hillal -- Sunday,
Nov. 27, -TBA Review session with Olivera -- Monday, Nov. 28, 4:00-6:00pm in PC 439. I will have extra office hours on Monday, Nov. 28, 1:00-3:00pm in DM 432B. |
| Nov. 24 | Happy Thanksgiving! | ||
| Nov. 29 | Exam 3 | Solution key for Exam 3 | |
| Dec. 1 |
4.8 Mean Value Theorem Review for final |
4.8 #1-7odd, 15, 16, 19, 21, 27*. |
Final Exam: Tuesday, Dec. 6, 12-2pm , PG6 room 134. Note the
different room. 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. You'll probably have one question from 4.9 (MVT) and one from 10.1 (parametric curves), as these sections were not tested before. 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. |
|
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. |
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| Dec. 6 12:00-2:00 in PG5 134 |
Final Exam | Please note the different BUILDING AND
ROOM for the
final exam, PG5 Room 134! |
Special office hours for the final exam: Monday, Dec. 5, 10-12noon, 1-3pm. |
| Here are your
grades for the class (last column in the excel file). In the first
column, in increasing order, there are the first 5 digits of your
Panther ID. In the middle column is your score on the final exam (out of
150 points). Happy Holidays! |
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