Table of topics and assignments 

Textbook: Thomas’ Calculus, Early transcendentals, by Hass, Heil, Weir, 14th edition. All new textbooks sold in the FIU bookstore come with a MyLabsPlus access code (but I do not intend to assign mandatory online homework). You could also buy just the MyLabsPlus access code, which gives electronic access to the textbook. ISBN for textbook + access code : 9780135430903;  ISBN for access code alone:  9780135420683 .

Learning Assistant (LA):  Mariam Nafissatou Tapsoba  mtaps001@fiu.edu    Help Hours: Mondays, Wednesdays 3-5pm in (or around) DM 409C

Day# Date Topics Covered Suggested assignment Comments
0     1. Check the syllabus and get the textbook or the MyLabsPlus (MLP) code to access the textbook

2. As a review, do at least the "compute the derivative/integrals" problems from these
old final exams of Calculus 1 and Calculus 2.
Here are their solution keys: C1oldfinal-sol , C2oldfinal-sol		 A quiz 0, checking your Calculus 1 and 2 background will be given in the first day of class.
1 1/07 12.1 3d coordinate system
12.2 Vectors
Quiz 0		 12.1: 1,3,4,7,13,23,25,26,35,39,41,43,45,51,55,61,63

12.2: 1,3,5,11,17,18,21,23,25,27,33,35,37,45

  
2 1/09 12.3 Dot product 12.3: 1,7,9,11,20,25,29,33,43 Homework 1 due Tuesday, 1/14:
Pbs. 39, 56 from 12.1 and Pbs. 34, 47 from  12.2
(if you need help for 47, see example 9 from 12.2)

Theorem 1 section 2.3 is a potential exam theoretical topic.
3 1/14 12.4 Cross product

Worksheet 1/14		 12.4: 7,9,11, 15,18,19,23,25, 27,29,30,37,41,55

 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.
4 1/16 12.5 Lines and planes 12.5: 1,3,5,7,8,11,15,17,23,27,33,35,41,49,59,61,71 Homework 2 due Tuesday, 1/21:
all problems from Worksheet 1/14, plus pbs. 23, 29 from section 2.5.

Obtaining the component equation of a plane is a potential exam topic.
(see notes, or page 746 text)
Obtaining the (quick) distance formula between a point and a plane is a potential exam topic
(see notes, or pb. 12(a), page 761 text)
5 1/21 12.6 Quadric surfaces 12.6: 1,7,9,11,13,14,21,25,29,35,37,41 Quiz 1 on Thursday 1/23 covers sections 12.4, 12.5, 12.6.
6 1/23 13.1 Curves

Quiz 1
 13.1: 1, 5, 7, 12, 19, 23, 24, 38
Solution key for Quiz 1

Additional review exercises for Chapter 12:
(pages 757-759) #1,5,8,18,20,24,25,31,34,36,37,39,40,41,43,60,62, 65-75odd.		 Exam 1 on Thursday, Jan. 30, covers all sections from Chapter 12 and section 13.1.
Proofs to know for Exam 1 - one of them will be an exam question:
Theorem 1 section 2.3 - geometric interpretation of dot product -
(my proof is prefered, but the text proof is ok also);
Obtaining the component equation of a plane (see notes, or page 746 text);
Triple scalar product gives the volume of the parallelipiped (see notes, or proof in the Figure 12.35 text, p.740);
Obtaining the (quick) distance formula between a point and a plane (see notes, or pb. 12(a), page 761 text).
7 1/28 13.2 Integrals
13.3 Length

Brief Review		 13.2: 1, 3, 7, 11, 13, 21, 23, 25 (do after Exam 1)
13.3: 3, 5, 6, 7, 9, 11, 13 (do after Exam 1)

 		Extra office hours for Exam 1 (in DM 432B or DM 442A):
Wednesday, Jan. 29, 1-3pm.
Mariam is available Monday and Wednesday, 3-5pm in or around DM 409C.
8 1/30 Exam 1
(typos fixed)		 Solution key of Exam 1 Homework 3 due Thursday, Feb. 6:
# 11 and 21 from section 13.2; # 11 from 13.3; # 11 from 13.4.
9 2/04 13.4 Curvature
13.5 Components of acceleration		 13.4: 1,4,10,11,19,21

13.5: 1,3,7,11,17 		 
10 2/06 14.1 f(x,y), f(x,y,z)
 14.1: 1,3,5,11,13,21, 23,29(these two added late), 49,51  
11 2/11 14.2 Limits 14.2: 1,5,7,13,17,21,25,33,37,39,41,42, 64,65, 67 (last three added later) Homework 4 due Thursday, Feb. 13:
# 5, 29, 49 from section 14.1, and #42, 67 from 14.2.
12 2/13 14.3 Partial d's
 14.3: 2,3,7,13,16,23,29,35,41,44,45,49,63,66,71,83,85 (last three added later)
Here are notes of today's lecture (courtesy of your colleague, Lamija).		 Lecture notes starting with 01/28 till 02/11 (courtesy of Lamija)
13 2/18 14.4 Chain rule
14.5 Dir. derivs, Gradient		 14.4: 1,5,7,9,21,25,27,37,38,39,41,47, 50 (added later), 55

14.5: 1,3,5,7,11,13,15,19,21,25,29,31,34		 Quiz 2 on Thursday, Feb. 20 from 14.3, 14.4 and 14.5.
Lecture notes for today's class  (thanks again to Lamija!)
14 2/20 14.6 Tang. planes
Quiz 2		 14.6: 3,5,11,19,21,29,35,41,45,57,61a
Solution key for Quiz 2		 Lecture notes for today's class (from Lamija)
  2/25
and
2/27		 No classes.
Spring Break!		 Have a good Spring Break!
but also study for Exam 2, on Thursday, March 5!

Additional practice exercises for Chapter 13:
(pages 802-803) #1,3,4,6,12,16,18,22 .

Additional practice exercises for Chapter 14:
(pages 891-892) #1-21odd,25,29,31,35-49odd.		 Exam 2 on Thursday March 5, covers all sections between 13.2-13.5 and 14.1-14.6 (just tangent planes in 14.6 no differentials)
Proofs to know:
Getting the vector form or parametric form of ideal projectile motion (formulas (5) or (6) in section 13.2);
Getting the tangential and normal component of the acceleration vector
(formulas (1) and (2) in section 13.5);
Proof of properties of Directional derivatives (1, 2, 3) from page 848;
Proof that the gradient of f(x,y) is normal to a level curve f(x,y)=c
(middle of page 849);
One of the more theoretical exercises  (e.g. # 64,65,67 in 14.2, or #50 in 14.4).
15 3/03 Rest of 14.6
Review for Exam

 
16 3/05 Exam 2 Bonus opportunity for Exam 2: choose ONE of the problems 1-8 from the exam, do it at home and turn it in on Tuesday, March 10. You'll receive as bonus half of the difference between your take-home score and the in-class score of that problem. Homework due Tuesday, March 10:
# 19 and # 52 section 14.6 (for Pb. 19 you should read Example 3 from section 14.6)
17 3/10 14.7 Extrema 14.7: 2,3,14,23,26,33,35,37,49,53,59  
18 3/12 Switching to remote format.

No class today even
in remote format.
Instead, please watch the videos attached.		 Watch Prof. Leonard video on extrema of functions of 2 variables (for our section 14.7)
https://www.youtube.com/watch?v=kPL28zgEFk8&list=PLDesaqWTN6ESk16YRmzuJ8f6-rnuy0Ry7&index=20

Watch Prof. Leonard video for Constrained Optimization (for our section 14.8)
https://www.youtube.com/watch?v=nUfYR5FBGZc&list=PLDesaqWTN6ESk16YRmzuJ8f6-rnuy0Ry7&index=21

Then do your suggested exercises for 14.7 (see above) and
14.8 #1, 3, 5, 15, 16 (reading those sections in the textbook should also help!)		 Additional important homework for this weekend (for me as well!).
Get familiar with Zoom ! This is what we'll use to remotely meet
(once I understand enough on how to set up meetings, etc!)
For now, look for zoom.us and download the corresponding app in your tablet/phone/computer.
19 3/17 zoom lecture
14.7 & 14.8 examples 		Watch Prof. Leonard video Intro to double integrals (before Thursday 3/19)
https://www.youtube.com/watch?v=lv_awaaT6gY&list=PLDesaqWTN6ESk16YRmzuJ8f6-rnuy0Ry7&index=22

and the next one on How to solve double/iterated integrals
https://www.youtube.com/watch?v=HxRG_phgGUw&list=PLDesaqWTN6ESk16YRmzuJ8f6-rnuy0Ry7&index=23

These (roughly) correspond to sections 15.1, 15.2, 15.3 of Thomas' text.
Start the online homework from the first two assignments in MyLab.		 Register for the online homework system MyLab (see the instructions sent by e-mail).
For the remaining of the course, you'll have to complete the online assignments there.
20 3/19 zoom lecture
examples from 15.1, 15.2, 15.3 		When you are done with 15.1, 15.2, 15.3 (ideally by the end of this week),
watch Prof. Leonard video on  Double Ints over Polar Regions (before Thursday 3/21)
https://www.youtube.com/watch?v=HA41kYxVYnw&list=PLDesaqWTN6ESk16YRmzuJ8f6-rnuy0Ry7&index=24
Start the MyLab assignment for Double Ints in Polar (equiv of 15.4 in Thomas)