Table of topics and assignments - Calculus I - Fall 2013
You may buy the textbook, Calculus, by H. Anton and others, Early Transcendentals, 10th edition, directly from the publisher following this link. Since it is only $5 more, I would advise you to get the complete version of the text, (Chapters 1-15) which includes the multivariable part done in Calculus III. The WileyPLUS is an online homework system that you may find useful, but I will not require it this semester.
For tutoring services (including online) and other useful info follow this link . There you will also find a link for the complete solution manual. This requires username and password which I'll give in class.
Learning Assistants: Rommel
Rodriguez [rrodr429"at"fiu.edu] and
Brandon
Mori
[bmori006"at"fiu.edu]
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 LA).
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. Often you will be asked to follow (and take notes with paper and pencil) these lectures before we cover the corresponding sections. It is important that you do so.
| Date | Topics covered | Suggested Assignment | Comments |
| Aug. 27 | Prerequisite Test 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 |
Here is
a list of prerequisite
topics for Calculus. The
Prerequisite Test will cover some of these. To refresh your background and as preparation for the Prerequisite Test, please watch the first 3 lectures of Prof. Delaware. Also go through this algebra review. |
| Aug. 25 | Chapter 0 - Review |
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 copy of the
Prerequisite Test. You can use it for your
review. As preparation for next week, watch lectures 04 and 05-06 of Prof. Delaware. |
| Sep. 3 |
1.1 Limits (intuitive) 1.2 Limits computations Worksheet week 2 |
1-9odd, 17-20all, 23-29odd 1-31odd, 33-36all, 37, 39, 40, 43* |
|
| Sep. 5 | 1.3 Limits at infinity 1.6 Trig. limits (part of it) |
1-5odd, 9-31odd, 50*, 52* 23-35odd, 30, 32, 46*, 51*, 52* |
Quiz 1 on Thursday, Sep. 12, covers sections 1.2, 1.3, 1.6. |
| Sep. 10 | 1.4 Rigorous limit definition Worksheet week 3 |
1, 3, 19, 20, 21, 23, 29*, 31*, 33* | |
| Sep. 12 | More on
1.4 Quiz 1 |
see the
problems above; try to also finish at home
worksheet 3 |
As
preparation for next week, please watch lectures
07, 08 (new version) 09, 10 of Prof. Delaware |
| Sep. 17 | 1.5 Continuity and IVT rest of 1.6 Worksheet week 4 |
1-5 all, 7-31 odd, 33-35 all, 44*, 47, 48*, 56* 1-11 odd, 17-29 odd, 30,32,40,43,46*,49,50,51*,52*,67 (a,b),68(a,b) (for 1.6, some of the above suggested pbs were already listed on Sep. 5) |
Worksheet week 4 (see
left link) is now a homework due Thursday, Sep.
19. Hint for Pb. 3: In the video-lecture 07 of Prof. Delaware, you can watch the solution of a similar (but simpler) exercise. For your pb, first impose the continuity condition at x=2 (compute the two one sided limits, etc.) -- you will get an equation involving a, b. Next do the same at x=3 -- you'd get another equation involving a,b. Finally, you should solve the system of the two equations. |
| Sep. 19 |
2.1 Tang. lines, IROC 2.2 The derivative function |
1-8all, 11-19odd, 23-27odd 1-17odd, 23, 25, 26, 27-30all, 33, 41, 42, 47*, 49* |
Exam 1 on Thursday, Sep. 26 covers Chapter 0, Chapter 1 and sections 2.1, 2.2. |
| Sep. 24 | 2.3 Basic derivative rules 2.4 Product & quotient rule Review for Exam 1 |
1-23odd, 29-39odd, 51*, 53*, 55*, 57*, 70*, 73*
(do these after Exam 1) 1-17odd, 25-33odd, 35*, 36*, 37, 38*, 39-41all (do these after Exam 1) |
For your practice,
here is a copy of the Exam
1 given in a past semester.
(skip for now pbs. 8, 9, 10 as they are from later material). Be aware that your exam is likely to be quite different; just working on the problems from last year is not enough practice. |
| Sep. 26 | Exam 1 | Here is a solution key for your Exam 1. | Try to understand
the solutions of the problems of exam 1. Note your mistakes and try not to do them again. |
| Oct. 1 | 2.5 Deriv. trig. functions Worksheet week 5 |
1-15odd, 21, 25,27a), 31, 32, 35-37all, 39, 44* |
Lecture 11 of Prof. Delaware
covers sections 2.3, 2.4. You should watch it. Quiz 2 on Thursday, Oct. 3, covers 2.3, 2.4, 2.5 |
| Oct. 3 | 2.6 Chain rule Quiz 2 |
1-21odd,27-33odd,43,46,61,63,64,67,80*,83* |
|
| Oct. 8 | 3.2 Deriv. logs 3.3 Deriv. of exp. Worksheet week 6 |
1-27
odd, 31, 35-41odd, 45*, 47* 15-41 odd, 71-74, 77*, 78*, 79* |
|
| Oct. 10 | 3.1 Implicit differentiation |
1-13odd, 19, 25, 27, 29*, 33* | |
| Oct. 15 | 3.3 Deriv. of inv. trig. 10.1 Param. curves Worksheet week 7 |
43-53 odd, 65, 7*, 9*, 10* (for 7,9,10 also show
the function is 1-1) 3-17 odd, 23, 41, 42, 45-53odd, 62* |
Take home quiz 3, due Tuesday, Oct. 22 |
| Oct. 17 |
3.4 Related Rates |
5,7,8,12,13,17-20all,24,29,32,45* |
Exam 2 on Thursday,
Oct. 24 covers all sections we did starting from
2.3 to 3.4 (including 10.1). |
| Oct. 22 | 3.5 Local lin. approx. Review for Exam 2 |
1-9odd,23,27,29,34,51,55,63,67 (do these after
exam 2) For your practice, here is Exam 2 from Spring 2013. Be aware that your exam is likely to be quite different; just working on the problems from past exam is not enough practice. |
Possible theoretical topics
for Exam 2: From 3.3 -- proofs for formulas
(9-12), From 2.5 -- proofs for (3) and (4) using the definition, proofs of (5-8) using (3),(4) + the product rule, quotient rule From 2.4 -- proof of product rule (Thm. 2.4.1), also proof of the quotient rule (using the product rule, as in the worksheet) |
| Oct. 24 | Exam 2 | Answer Key to Exam 2. | Here are your scores thus far. I considered the best 5 of 6 quizzes and worksheets. Last column is your overall percentage. If you are far from the 65% mark, remember that Monday, Nov. 4 is the drop deadline. |
| Oct. 29 | 3.6 l'Hopital | 1, 3, 4, 7-43odd, 57, 58 | Quiz 4 on Thursday, Oct. 31, covers 3.5, 3.6. |
| Oct. 31 | 4.1 Graphing 1 Quiz 4 |
1-7,11-14all,15-27odd,39,40,57*,63-66 |
|
| Nov. 5 | 4.2 Graphing 2 4.3 Graphing 3 Worksheet week 10 |
1-9odd,15,16,19,21,24,25,37-47odd,51-59odd 1-11odd,19,31-39odd,45-55odd |
Worksheet week 10 is due on Thursday, Nov. 7. |
| Nov. 7 | 4.4 Abs. max/min | 1-6all,7-13odd,17-20all,21-27odd,53*,54*,55* | |
| Nov. 12 | 4.5 Optimization Worksheet week 11 |
1-27odd,43,50*,53*,59* | Worksheet week 11 is due on Thursday, Nov. 14. |
| Nov. 14 | 4.8 Rolle, MVT | 1-7odd, 15, 16, 19, 21, 27*, 29*, 30*, 31*, 35*, 36* |
| Nov.19 | 5.2 Antiderivatives Worksheet week 12 |
1,11-25odd,33,43,45,53 | Worksheet week 12 is due Tue. Nov. 26 |
| Nov.21 | 5.3 Substitution Method 5.7 Rectilinear motion with integration |
1,3,5,15-59odd,71,76,77* 5, 7, 33-41odd, 42 |
No office hours on Friday,
Nov. 22. I am out of town. Regular office hours on Monday, Nov. 25. |
| Nov.26 |
5.6.Intro to FTC Review for Exam 3 |
This section will not be on
the final. Here is exam 3 given last semester. |
Exam 3 on Tue. December 3 covers sections 3.5,
3.6, 4.1-4.5, 4.8, 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.28 | No class, holiday | Happy Thanksgiving! | |
| Dec. 3 | Exam 3 | Answer Key for Exam 3 | |
| Dec. 5 | 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. For your practice, here is the final exam given in Spring 2013. However, note that your final is likely to be quite different, so solving only the problems on the old exam is not enough practice. Here is the solution key for the Spring13 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. OK, no theoretical topics on the final, but you may have some starred exercise from the suggested homework assignment. No epsilon-delta proofs either. Definitions and statements of important theorems (see on the left) may be exam questions. |
| 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, Dec. 6, 1-2:30 pm, Monday, Dec. 9, 10-12noon, 1-2:30pm, Wed. Dec. 11, 12-1:20pm | ||
| Dec. 12 | Final Exam | 9:45-11:45am regular room | To be sure you'll have extra time, we may start the exam as early as 9:15am (if the room is available). Please, bring your exam 3. It will be collected, together with your final. |
|
These are your scores and
grades 1st column - your first 5 digits of Panther ID 2nd column - your total score on quizzes/worksheets (lowest two were dropped) 3rd column - your score on the final exam out of 150 4th column - your score on the final as percentage (to compute your bonus) Last column - your grade for the class Happy Holidays! |
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