Table of topics and assignments 

Textbook: Calculus: Early Transcendentals, 3rd edition, Briggs, Cochran, Gillett, and Schulz.
You can purchase just the MyLab access code, which gives you online access to the textbook. You need a valid MyLab Math access code to do the online homework! 

Learning Assistant (LA): Melanie Gonzalez    Email: mgonz1020@fiu.edu              Help Hours: F 5:00-6:30 pm via zoom room: 508 577 4985

                                                    Direct link for LA help hours: https://fiu.zoom.us/j/5085774985?pwd=L0RueExVVkVDNXpzYmVCN2U2QlduQT09      

For you convenience, in the "Topics Covered" column, I will include links to old notes taken by students in Fall 2021. Beware that these notes are not proof-read and may contain mistakes. However, I hope you will still find them useful, especially if you want to read ahead. I thank Stephanie M and Julian C who took and sent those notes last semester.

Day# Date Topics Covered Suggested assignment Comments
0     1. Check the syllabus and get the MyLabMath (MLM) code if you don't have one already.
Assignments in MLM will be available on Monday, Jan. 10 via Canvas.
2. Do a review of basic derivatives and integration by solving as many exercises
from this Review for Quiz 0.
 Answers can be found here (by identifying the corresponding problems in the larger test bank).		  
1 1/11 13.1 Vectors in 2d

13.2 Vectors in 3d

Quiz 0

Old notes (08/24)
New notes (1/11)
(taken by Layla)

13.1 # 7, 11, 15, 17, 19, 26, 30, 37, 44, 53, 57, 58, 65, 71, 72, 76, 84* (as in syllabus)

13.2 # 4, 7, 9, 19, 21, 23, 27, 29, 33, 41, 45, 51, 57, 63, 74, 77*, 85* (as in syllabus)

Quiz 0 will take about 15 minutes at the end of the class.


 The list of suggested assignments and the list of MLM problems have a big overlap.
The online system has various forms of help, if you get stuck. I suggest you do first the problems with paper and pencil and then in the online system. Make a habit of watching the video lecture from MyLab before you attempt the problems from a section.
2 1/13 13.3 Dot product
Old notes (08/26)

New notes (1/13)
(from Layla)		 13.3 as in syllabus + #74*, 83*

Worksheet 1/13 - group homework due Tuesday 1/18

 Homework/Worksheet rules: I accept individual or group submissions for homework with the following conditions:
(i) groups should have at most 4 people;
(ii) each person in the group should contribute to the homework, ideally by writting some parts of it for the group;
(iii) initials of the person who wrote a problem should be clearly marked.
(iv) work should be clean, multiple sheets stapled.
3 1/18 13.3 More on dot product
13.4 Cross product
Old notes (08/31/21)		 13.4 as in syllabus + 57 Quiz 1 on Thursday, Jan. 20, from 13.3 and 13.4.
4 1/20 13.5 Lines and planes
Old notes (09/02/21)

Quiz 1		 13.5 as in syllabus

Quiz 1 - solution key
Here is a link from Valentina to her notes from the class. (Thank you, Valentina!)
https://1drv.ms/u/s!Al-N88542bjEgRAUFaKXratUqeeF
These notes will update everytime she writes new notes.
5 1/25 more on 13.5
13.6 Quadric surfaces
Lecture 1/25
(from Layla)		 13.6 as in the syllabus  
6 1/27 14.1 Vector-valued functions
14.2 Calculus with r(t)
(see new notes in Canvas)		 14.1 as in syllabus
14.2 as in syllabus
Worksheet 1/27 - due Thursday, Feb. 3		  
7 2/01 14.3 Motion
14.4 Arclength
Old lecture 09/14/21		 14.3 as in syllabus
14.4 as in syllabus		  
8 2/03 14.5 Curvature
Old notes 09/16/21

Lecture 2/03
(from Layla)		 14.5 as in syllabus Exam 1 on Thursday, Feb. 10, covers all sections we did from Chapters 13 and 14. You should know well all important concepts and results studied. Most problems will be similiar to your suggested assignment (and the online MyLab homework), the quizzes and worksheets.
One problem will be a theoretical topic (proof) chosen from the following:
1) proving that the dot product of two vectors (as defined in class) is equal to the product of the lengths of the vectors and the cosine of the angle between them -- see class notes;
2) getting the point-normal equation of a plane (see notes or textbook, the bottom of page 849 and top of page 850);
3) getting the parametric equations of projectile motion (see class notes or textbook, page 888).
9 2/08 15.1 f(x,y), f(x,y,z) 15.1 as in syllabus (do after exam 1) Searching my website (the previously taught courses link) you can find some past exams. 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.
10 2/10 Exam 1 Solution key of exam 1  
11 2/15 15.2 Limits 15.2 as in the syllabus  
12 2/17 15.3 Partial derivatives,
differentiability		 Worksheet 2/17 - due Tuesday, Feb. 22
Solution key - based on Rayon's paper

15.3 as in the syllabus		 In past semesters, students told me that they found useful the following Calc. 3 youtube videos from Prof. Leonard
My way of explaining things may sometimes be different, but you'd get a good coverage of the material through his videos and more examples. You should choose the corresponding sections from his list of videos. For instance, this is the direct link for his video on partial derivatives.
13 2/22 15.6 Local linear approximation (linearization), differentials,
tangent planes		 15.6 as in the syllabus  
14 2/24 15.4 Chain Rule

Lecture 2/24
(from Layla)		 Worksheet 2/24 - due Thursday, March 10 (typo in pb 4(c) - ant starts from (1,1),  not the origin)
Solution key

Have a good Spring break!		 Based on the class lecture, you should be able to do Pbs. 1, 2, 3 from the worksheet. Parts (a) and (b) of Pb. 4 are not very hard either, but you should read ahead the section 15.5 on directional derivatives and gradient. You could also watch the video of Prof. Leonard on this section during the break. Part (c) of Pb. 4 is more challenging, but that part will be considered as bonus.
15 3/08 15.5 Directional derivatives
15.6 Tangent planes for
F(x,y,z) = k

Lecture 3/08 (from Layla)
Lecture 3/08 (from Valentina)		 15.5 as in the syllabus Quiz from sections 15.5 and 15.6 now became a MyLabMath quiz. You need to reserve 30 minutes to take it by Sunday, May 13, 11:59pm.
16 3/10 15.7 Max/min

15.8 Lagrange multipliers

New link from Valentina to her notes		 15.7 as in the syllabus

15.8 as in the syllabus

 Exam 2 on Thursday, March 17, covers all sections between 15.1 and 15.8. You should know well all important concepts and results studied. Most problems will be similiar to your suggested assignment (and the online MyLab homework), the quizzes and worksheets.
One problem will be a theoretical topic (proof) chosen from the following:
-- Theorem 15.9 (p.955) and Exercise 56 (p. 959) from section 15.4;
-- Theorem 15.11 (p. 965, proof is above the statement, or see the notes);
-- Theorem 15.12 (p. 967);
17 3/15 More on 15.8
Brief review

 
18 3/17 Exam 2 Solution key for Exam 2
Error in pb. #7 in my solution key, spotted by Jonathan. In the Hessian, the mixed partials
f_{xy} and f_{yx} should be -4 instead of 4. The mistake does not affect the conclusion.		  
19 3/22 16.1 Double integrals on rectangles
16.2 Double integrals on more general regions		 16.1 as in syllabus

16.2 as in syllabus		 As introduction to 16.1, 16.2, I used in class these notes of Chris Tisdell, from University of New South Wales, Sydney, Australia
20 3/24 16.3 Double integrals in polar coordinates 16.3 as in syllabus

Worksheet 3/24  Pbs 1, 3b and 4 of the worksheet are due on Tuesday, 3/29
Solution key		  
21 3/29 16.4 Triple Integrals    
22 3/31 16.5 Triple Integrals in cylindrical or spherical coords.
16.6 Mass, center of mass		 Worksheet 3/31           Solution key of first two problems can be found in this older worksheet
16.5 as in the syllabus

16.6 as in the syllabus
 This worksheet will NOT be collected, but solve the problems on it, as exam preparation.
23 4/05 16.7 Change of variables
17.1 Vector Fields		 Worksheet 4/05 (for change of variables)   Solution key for Pb. 4
16.7 as in the syllabus
17.1 as in the syllabus		 Section 16.6 Centroids and center of mass has been implicitely covered already by the examples presented in previous worksheets
24 4/07 17.5 Divergence & Curl
17.2 Line Integrals
17.3 Conservative v. fields		 17.5 as in the syllabus
17.2 as in the syllabus
Worksheet 4/07

Partial solution key + pb 1 from 4/12		  
25 4/12 17.3 More on Conservative v.fields
17.4 Green's Thm		 17.3 as in the syllabus
17.4 as in the syllabus

Worksheet 4/12

Solution key for 2nd and 3rd problems		 Exam 3 on Tue. Nov. 27 covers sections 16.1-16.7 and 17.1-17.5.
You should know well all important concepts and results studied. Most problems will be similiar to your suggested assignment (and the online MyLab homework), the quizzes and worksheets.

Theoretical topics for exam 3 -- one of these will be an exam question:
-- Exercise 73 from section 16.3 (I did this in class as an application to integration using polar coordinates);
-- Exercise 47 from section 16.7 -- computing the Jacobian of the spherical coordinates transformation;
-- Theorem 17.4 (Fundam. Thm. of line integrals of conservative v. fields)
-- One of the more theoretical problems from the worksheets (for example,
pb. 4 from worksheet 4/07 or pb. 1 from worksheet 4/12)
26 4/14 17.6 Surface integrals, Flux 17.6 as in the syllabus (do after exam 3)  
27 4/19 Exam 3  Solution key for exam 3  For the final exam (Tuesday, April 26, 12-2pm regular room), review
all previous exams and worksheets. One theoretical topic (proof) will be selected from the ones mentioned below.
28 4/21 17.8 Flux-Divergence Thm

Old C3 notes for 17.4, 17.6, 17.8		 17.8 as in the syllabus

You may find useful the class notes from last week of last semester for some extra examples
for the last part of the material. For this semester, you can consult Valentina's notes (see link on row 16).
 Theoretical topics for final:
 -- Getting the parametric equations of projectile motion (see class notes or textbook, page 888).
-- Gradient as the direction of maximal change - Theorem 15.11 (p. 965, proof is above the statement, or see the notes);
-- Exercise 47 from section 16.7 -- computing the Jacobian of the spherical coordinates transformation;
-- Theorem 17.4 (Fundam. Thm. of line integrals of conservative v. fields)
-- One of the more theoretical problems from the worksheets

Final Exam on Tuesday, April 26, 12-2pm, regular room.