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
 
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
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.
 
      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!