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 Assistant (LA): Fabio Isaza – fisaz002@fiu.edu
Fabio's help-time outside class: Mo 12-2pm, We 12-1pm inside or outside DM 409A
Read the corresponding sections before the date indicated.
| Date | Sections | Suggested Assignment | Comments |
| Aug. 21 | 11.1 Rectangular 3d
coords 11.2 Vectors |
11.1 # 1, 4 7-43 odd, 47-50, 51*, 52*, 53*, 54*
11.2 # 1-15 odd, 17-20, 23-35odd, 45, 47, 53, 55, 57, 61*, 62* |
Symbol * denotes more
difficult, or more theoretical problems. Exams contain mostly standard problems, but one or two may be like the * ones. |
| Aug. 23 | 11.3 Dot product Worksheet week 1 |
11.3 #
1,7,13,19,23,25,27,28-31,35,39*,41* |
Monday, Aug. 28 is the last day to drop/add courses with full refund. |
| Aug. 29 | 11.4 Cross product |
11.4 # 1,3,7,11,13-16,19,21,26,28,29,37*,38* |
|
| Aug. 31 | 11.5 Param eqs of lines
11.6 Planes in 3-space Worksheet week 2 |
11.5 # 3-9odd,11-14, 15-37odd, 47, 49, 51-54all 11.6 # 3-17odd, 21-24, 25-39odd |
Worksheet week 2 is a
homework due Tuesday, Sep. 5. Work in groups is
encouraged, but each of you should turn in their own solutions. Please acknowledge collaborations. |
| Sep. 5 | 11.7 Quadric surfaces | 11.7 # 1,9,11-14, 15-33odd, 47 | For next class
(hopefully on Tuesday, Sep. 12), please try to
read ahead sections 11.7 and 11.8. For now, Exam 1 remains scheduled on Sep. 19. It covers Chap. 11 (sections 11.1-11.8). If the class on Sep. 12 is also cancelled, then I'll move exam 1 to a later date. |
| Sep. 7 | University closed - Irma | Be Safe! | |
| Sep. 12 | University closed - Irma | ||
| Sep.14 | University closed - Irma | Due to hurricane Irma's effects on the academic calendar, please see the revised syllabus for the class. The main change is that you'll have only two midterms rather than three as intially planned. | |
| Sep. 19 | 11.7 Quadric surfaces 11.8 Spherical and cyl. coords. |
11.7 # 1,9,11-14, 15-33odd, 47 11.8 # 1-7odd, 15-18all, 19-31odd, 35-45odd |
|
| Sep. 21 |
Worksheet 09/21 12.1 Vector-valued functions 12.2 Calculus of vector-valued functions |
12.1 #9-23odd,27,29,33,34,35,41,43,45 12.2 #1-11odd, 15, 19-25odd, 29-37odd, 41-44, 45, 49, 53*,57* |
Several of you recommended these videos of Professor Leonard as a substitute or complement to reading ahead the corresponding sections from the textbook. You could give them a try. |
| Sep. 26 | 12.3 Change of param.;
arclength 12.4 Unit tangent, normal, binormal |
12.3 #5-15odd,19,20,23-29odd,31,32,33 12.4 #5-9odd,15,17,21-24 |
Exam 1 on
Thursday, Oct. 5 covers all sections
from Chapters 11 and sections 12.1 through 12.6
(including 12.6).
Possible theoretical topics on Exam 1 (you
should know the proof of these): Thm.11.3.3, Thm 11.4.6, Thm. 12.2.8, Theorem 12.5.2, the param. equations of projectile motion p. 889-890, plus all the starred exercises. |
| Sep. 28 | 12.5 Curvature 12.6 Motion |
12.5 #5-9odd,17,19-21,23,25,29,46*,47*,48* 12.6 #3-7odd,9*,11*,12*,17,19,27-33odd,37.47-50all,52,54,55,59 |
Here you can see exams form a previous semester. Beware that even if the structure of your exam may stay similar, the problems can be completely different. |
| Oct. 3 | Review for Exam 1 | ||
| Oct. 5 | Exam 1 | Solution key for exam 1 | |
| Oct. 10 | 13.1 f(x,y) 13.2 Limits |
13.1 #3-7odd,19,23,27,28,29-41odd,51,61
13.2 #5-19odd,23,25,29,30,32,33*,39* |
The following worksheet is a homework due on Thursday, Oct. 12. OK if you work in groups and turn in only one copy per group, but all that sign should have an active contribution toward the solution. |
| Oct. 12 | 13.3 Partial derivatives |
13.3 #1-5odd,12-16all,17-33odd,47-53odd,89,91,94,95* |
Quiz on Tuesday,
Oct. 17 covers sections 13.1, 13.2, 13.3. Here is a link for GeoGebra, a software you can use for 3D graphs. I have the GeoGebra Classic, version 5 on my computer. Version 6 (for which there are apps as well) should be at least as good. To start the 3D capability, choose 3D Graphics, from the main menu, then input the function or equation you'd like to graph. It is possible to zoom in, zoom out, rotate graphs (use last icon on top), find intersections, etc. I still want you to recognize graphs of basic functions without the help of software. |
| Oct. 17 | 13.4 Loc. Lin. Approx. Quiz 13.1-13.3 |
13.4 #1,3,9-17odd,23,25,27-30,33,41,43,53,62 Solution key for quiz 13.1-13.3 |
|
| Oct. 19 | 13.5 Chain Rule 13.6 Dir. deriv. Gradient |
13.5 #3-11odd,17-23odd,37-49odd,52,55*,57* 13.6 #1-5odd,9,13,23,27,37-53odd, 72,73,74,77,81*,86* |
In this excel file,
you can find your percentage (2nd column) and
grade thus far (3rd column). First column lists
(in increasing order) the first 5 digits of your
Panther IDs. |
| Oct. 24 | 13.7 Tang. planes Worksheet 10/24 |
13.7 #1-13odd,17-20,23-31odd | |
| Oct. 26 |
13.8 Max/min 13.9 Lagrange multipliers Worksheet 10/26 |
13.8 #1,9-17odd,27,29*,31-47odd 13.9 #7,9,23-29odd,24 |
Both worksheets
10/24 and 10/26 are homework due Tuesday, Oct.
31. No quiz next week. |
| Oct. 31 |
14.1 Double int. 14.2 Double int. |
14.1 #5-15odd, 19, 29-35odd 14.2 #1-21odd,29,31,33-36,39-43odd,47,49,53,54 |
Happy Halloween! |
| Nov. 2 | 14.3 Double int. polar |
14.3 #5-19 odd, 25-33 odd |
Quiz on Tuesday, Nov. 7 from sections 14.1, 14.2, 14.3. |
| Nov. 7 | 14.5 Triple int. Quiz 14.1-14.3 |
14.5 #1,7-11odd,15-21odd,25,33 Solution key for quiz 14.1-14.3 |
|
| Nov. 9 | 14.6 Triple int. cyl. or spherical |
14.6 #1,3,7-19odd,27,29 | Exam 2 on
Thursday, Nov. 16 covers sections 13.1-13.9 (all
chapter 13) and sections 14.1, 14.2, 14.3, 14.5, 14.6. Review session: Sunday, Nov. 12, 10am-11:30am in regular room. |
| Nov. 14 | 14.8 Centroids Review for exam 2 |
14.8 #
4,13,17,33,35,37,38 (do these after Exam 2) Chap. 13 Review exercises : # 6,9,11,13,17,18,25,26,28,33-37odd,38* Chap. 14 Review exercises: #5,6,12,16,18, 19-26all |
New! One question on Exam 2 will be chosen from the following
theoretical topics: Theorem 13.5.3, Theorem 13.6.3 (plus formulae (10), (11), page 963), Theorem 13.6.5, Theorem 13.6.6. I may also choose one of the starred exercises from your suggested hwk as an exam question. This is the Exam 2 given in Spring 2012 You can find older exams here (see the row corresponging to Mar. 27) |
| Nov. 16 | Exam 2 | ||
| Nov. 21 | 14.7 Change of variables | 14.7 #21, 25, 35, 38 | This worksheet
is due Tuesday, Nov. 28. As usual, you are encouraged to collaborate, but you should acknowledge collaborations. This is the updated overall percentage and grade. Many of you improved. Continue to work hard, as the final exam has an important weight in your overall grade. |
| Nov. 23 | no class | Happy Thanksgiving! | |
| Nov. 28 |
15.1 Vector fields 15.2 Line Integrals 15.3 Conservative v.f. |
15.1 #1,2,7,15,17,21,35*,37*,38*,39*,40* 15.2 #9,15,19,21,29,37,41-45odd 15.3 #3-11odd,17,19-22,31*,32*,34* |
|
| Nov. 30 | 15.4. Green's Theorem | 15.4 #5-9odd,21,25*,26*,32*,33,35,38* | |
| Dec. 5 |
14.4 Param. surfaces 15.5 Surface integrals |
14.4 #5,9,23,51,53,54*,55* 15.5 #1,3,5,32,33 |
The final will cover quite well the sections done after Exam 2
(centroids, change of variables, Chapter 15). It will also contain some problems from the earlier parts of the course. These latter ones will be chosen from the following topics: basics on vectors; writing equations of lines and planes satisfying certain conditions; basics on curves and motion on a curve, arc length (no need to memorize formulas for curvature, binormal etc.); partial & directional derivatives, gradient, chain-rule; tangent planes and normal lines to surfaces; optimization & Lagrange multipliers; set up double or triple integrals, reversing order of integration. Theoretical topics for the final -- one of these may be an exam question Theorem 11.3.3 (relation between dot product and angle) Theorem 13.6.6 (see the explanation above the Theorem on page 965) Theorem 15.3.1 (fundam. thm. of line integrals) Green's Thm for regions with holes (obtaining formula (7) on page 1126). |
| Dec. 7 | 15.8 Stokes' Thm. Review |
15.8 #1,3, 13, 14 | Sample finals from previous semesters: Spring2012 Spring2010 Spring2007 Last regular class. |
| Office hours (in DM 432B): Mon, Dec.
11, 10am-12noon; Tue. Dec. 12, 12-2pm. Review session: Wed, Dec. 13, 12-2pm in DM 409A. |
|||
| Dec. 14 | Final exam |
12-2pm, in PG6, room 112 Note the different location for the final! |
In this
excel file you can find you score on the final exam (middle
column) and your overall grade for the class (last column). First column contains the first 5 digits of your panther ID (in increasing order). |
| Happy Holidays! | |||