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): Hillal Ibyiemi hibiy001@fiu.edu LA help hours: Mondays 2-4pm in DM 164, Wednesdays 12-1pm in GL 132 (note the rooms)
Read the corresponding sections before the date indicated. In Fall 2017, students found these videos of Professor Leonard . I sometimes use different explanations/techniques but the videos could be a substitute or complement to reading ahead the corresponding sections from the textbook. You could give them a try.
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 starred 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. 27 is the
last day to drop/add courses with full refund. Quiz 1 on Aug. 28 covers 11.1, 11.2, 11.3 (you'll NOT have starred problems on quizzes) |
Aug. 28 | 11.4 Cross product Quiz 1 |
11.4 # 1,3,7,11,13-16,19,21,26,28,29,37*,38* Solution key for quiz 1 |
|
Aug. 30 | 11.5 Param eqs of lines
Worksheet week 2 |
11.5 # 3-9odd,11-14, 15-37odd, 47, 49, 51-54all |
Please read ahead section 11.6 (or watch the video from Prof. Leonard). I will go over it on Tuesday, but will cover one other section on Tuesday too. |
Sep. 4 | 11.6 Planes in 3-space | 11.6 # 3-17odd, 21-24, 25-39odd | There are various softwares to help you visualize 3D objects. One which is free, pretty good and easy to use is geogebra (it even has a downloadable app to smart phones). You could also use (the free part) of wolframalpha.com . For this one, the 3D drawing command is plot3d( ... ). Try to avoid relying exclusively on such softwares.You'll still need to be able to draw on your own basic 3d objects. |
Sep. 6 | 11.7 Quadric surfaces 11.8 Spherical and cyl. coords. Worksheet week 3 |
11.7 # 1,9,11-14, 15-33odd, 47 11.8 # 1-7odd, 15-18all, 19-31odd, 35-45odd |
Exam 1 on
Tuesday, Sep. 18, covers all sections from
Chapter 11 and sections 12.1 and 12.2. Quiz 2 on Tuesday, Sep. 11, covers 11.5, 11.6, 11.7. I will NOT collect worksheet week 3 for grading, but consider the problems from it (as from all worksheets) as additional suggested problems. |
Sep. 11 | 12.1 Vector-valued
functions 12.2 Calculus of vector-valued functions Quiz 2 |
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* Solution key for quiz 2 |
Searching my website
(the previously taught courses link) you can
find some past exams. Direct links to the last
two times I taught Calculus 3 are also here:
Fall 2017 and
Spring 2012 You could use the old exams as practice, but be aware that each semester I write a new exam (plus, the material covered in the past may have been different). The ideal preparation for your exam is to do all the suggested problems and worksheets from the covered sections. |
Sep 13 | Review for Exam 1 |
(do after exam 1) Chap. 11 review exercises: #1, 2, 4-10all, 15-17all, 19-23all, 25, 26, 30 |
Proofs to know
for Exam 1 - one of them will be an exam
question: -- Theorem 11.3.3 (geometric interpretation of dot product) -- Theorem 11.4.6 (triple scalar product gives volume of the parallelipiped) -- The point-normal equation of a plane (getting formula (3) in section 11.6 from the discussion above) -- Getting the rectangular coordinates in terms of the spherical coordinates (the explanation for formulas (3) in section 11.8.) |
Sep. 18 | Exam 1 | Solution key for Exam 1 | Review session
with Hillal: Sunday, Sep. 16, 2-3pm in GL132. He is also available Monday, Sep. 17, 3-5pm in DM 164 (not 2-4pm as in all other Mondays). Extra office hours for me (in DM 432B): Monday, Sep. 17, 11am-1pm, Tuesday, Sep. 18, 11am-11:45am. |
Sep. 20 | 12.3 Arclength; Change of param. 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 |
Theorem 12.2.8 (which I proved today in class) is a theoretical topic for the next midterm. |
Sep. 25 | 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 |
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Sep. 27 | 13.1 f(x,y), f(x,y,z) Worksheet week 6 |
13.1 #3-7odd,19,23,27,28,29-41odd,51,61 |
The
worksheet you received in class (see left
column) is a homework due Tuesday, Oct. 2. Quiz 3 on Thursday, Oct. 4 from sections 13.1, 13.2, 13.3. |
Oct. 2 | 13.2 Limits 13.3 Partial derivatives |
13.2 #5-19odd,23,25,29,30,32,33*,39* 13.3 #1-5odd,12-16all,17-33odd,47-53odd,89,91,94,95* |
Solution key for the heater worksheet |
Oct. 4 |
13.4 Loc. Lin. Approx. Quiz 3 |
13.4 #1,3,9-17odd,23,25,27-30,33,41,43,53,62 Quiz 3 - solution key |
|
Oct. 9 | 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* |
|
Oct. 11 | 13.7 Tang. planes Worksheet week 8 |
13.7 #1-13odd,17-20,23-31odd Solution key for worksheet week 8 |
The worksheet
you received in class is a now a homework due Tue. Oct. 16. For the exam be sure to understand parts (a), (b) and the first question in (c). The rest is more challenging, and will surely not appear on the exam. |
Oct. 16 |
13.8 Max/min |
13.8 #1,9-17odd,27,29*,31-47odd |
Exam 2 on Tuesday, October 23, covers
Chapters 12 and 13. One question on Exam 2 will be chosen from the following theoretical topics (some late change on these): Theorem 12.2.8; Theorem 13.6.5; Theorem 13.6.6; the param. equations of projectile motion (getting to formulas (27) on p. 890, see p. 889-890). I may also choose one of the starred exercises from your suggested hwk as an exam question. As before, you can find exams from past semesters (see the Nov. 14 and Nov. 16 rows of Fall 17 table), but be aware that your exam will be new and the coverage on past semesters might have been different. |
Oct. 18 |
13.9 Lagrange multipliers Worksheet week 9 |
13.9 #7,9,23-29odd,24 |
Review session for Exam 2 with Hillal:
Sunday, Oct. 21, 2-3pm in GL132. He is also available Monday, Oct. 22, 2-4pm in DM 164 (usual hours). Extra office hours for me (in DM 432B): Monday, Oct. 22, 10am-1pm, Tuesday, Oct. 23, 11am-11:45am. |
Oct. 23 | Exam 2 | Solution key of Exam 2 | In
this excel file, you'll find your overall percentages after
exam 2 and the current grade (scores on exam 2 are in column I). Note that the drop-deadline is this Monday, Oct. 29. |
Oct. 25 |
14.1 Double integrals 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 |
Quiz 4 from 14.1, 14.2, 14.3 on Thursday, Nov. 1 |
Oct. 30 |
14.3 Double int. polar |
14.3 #5-19 odd, 25-33 odd | Happy Halloween! |
Nov. 1 |
14.5 Triple int. 14.6 Triple int. cyl. or spherical Worksheet week 11 |
14.5 #1,7-11odd,15-21odd,25,33 14.6 #1,3,7-19odd,27,29 Solution key for the miniquiz |
This worksheet is a homework due Tuesday, Nov. 6. |
Nov. 6 | 14.7 Change of vars 15.1 Vector fields |
14.7 #21,
25, 35, 38 15.1 #1,2,7,15,17,21,35*,37*,38*,39*,40* |
|
Nov. 8 | 15.2 Line Integrals 15.3 Conservative v.f. |
15.2 #9,15,19,21,29,37,41-45odd 15.3 #3-11odd,17,19-22,31*,32*,34* |
Homework due
Tuesday, Nov. 13. |
Nov. 13 | 15.4. Green's Theorem | 15.4 #5-9odd,21,25*,26*,32*,33,35,38* | |
Nov. 15 |
14.4 Param. surfaces 15.5 Surface integrals |
14.4 #5,9,23,51,53,54*,55* 15.5 #1,3,5,32,33 |
|
Nov. 20 | 15.7 Flux-divergence Thm | 15.7 #1, 5, 6, 9 (not on Exam 3 but possibly on final) | Exam 3 on Tue. Nov. 27 covers sections
14.1-14.7 and 15.1-15.5. From 14.8 study only the first theoretical topic indicated below (which I also covered in class). Theoretical topics for exam 3 -- one of these will be an exam question: -- Mass of a lamina or a solid as a double or triple integral -- explanation for formula (3), or formula (15), in section 14.8; -- Theorem 15.3.1 (fundam. thm. of line integrals); -- Green's Thm for regions with one hole (obtaining formula (7) on page 1126). |
Nov. 22 | No class. | Happy Thanksgiving! | Review session for Exam 3 with Hillal:
Sunday, Nov. 25, 2-3pm in GL132. He is also available Monday, Nov. 26, 2-4pm in DM 164 (usual hours). Extra office hours for me (in DM 432B): Monday, Nov. 26, 10am-2pm, Tuesday, Nov. 27, 11am-11:45am. |
Nov. 27 | Exam 3 | Solution key for exam 3 | Here I will post on Friday your scores on Exam 3 and overall average at this point. |
Nov. 29 | 15.7 More on Flux-Div. Thm. -- Gauss's Law for Inverse-square fields | 15.7 #1, 5, 6, 9 |
Theoretical topics for the final -- one of these will likely be an exam
question Theorem 11.3.3 (relation between dot product and angle) Theorem 13.6.5 (gradient as the direction of maximal change) Theorem 15.3.1 (fundam. thm. of line integrals) Theorem 15.7.2 (Gauss's Law for Inverse-Square fields) |
Office hours for the final: Monday, Dec. 3, 10am-12noon,1pm-3pm, Tuesday, Dec. 4, 1pm-3pm Wednesday, Dec. 5, 10am-12noon, 1pm-2pm |
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Dec. 5, 2:15-4:15pm PC 212 |
Final Exam | Note the date, time and
room for the final exam: Wednesday, Dec. 5, 2:15-4:15pm, PC 212. |
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In this
excel file, you'll find your score on the final exam (middle column)
and the grade for the course (last column). Happy Holidays and good luck in your future endeavours! |
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