Closure Spring 2020
Hello! I hope you and your family are well. Please keep an eye on your
email for updates and messages from me. Use the links below as needed to access
materials and videos for your class.
Jump to: Calculus D
Linear Algebra
Adv. Topics

First Assignment for Everyone
Find an object that makes you happy (a favorite stuffed animal, an art project
you made, a Tshirt from a memorable event, a favorite photo, a colorful rock,
etc.) and put it someplace in your room or house where you will see it several
times a day. If you really cannot think of or find such an object then take a
piece of paper and write a favorite quote, phrase, song lyric, or just a handful
of positive words and post it somewhere you will see it often. ♥

Calculus D  Period 5
Regular Calculus D Class Page
★ Spring 2020
Calendar/Pacing Guide  Calculus D ★
Chapter 15  Multiple Integration
Note: Some of these videos are older and may be set up
differently and some are done on a new computer and have their own issues.
The items marked "handout" are included in what I gave you before school
closed.
 Chapter 15 Course Notes
(same as normal)

Homework Assignment Sheet Ch. 15
(same as normal)

Even Answers & Hints Ch. 15 (same as normal)
 Ch. 15  Day 1 Activities
 Lesson 0 Video: 15.0
Summary Preview (Watch this First)
 Lesson 1 Videos:
 HW: Do first assignment on the assignment sheet.
 Ch. 15  Day 2 Activities
 Worksheet: "Practicing Limits for Double Integrals"
 HW: Go back to FIRST homework assignment. Review, revise, and
finish it.
 HW 1 Video: 15.2
& 15.3 HW Video
 Ch. 15  Day 3 Activities
 Ch. 15  Day 4 Activities
 Ch. 15  Day 5 Activities
 Lesson 4 Video Playlist:
15.6 (4th ed.) Surface Area (anytime after
15.4)
 HW: Do FIFTH* assignment on the assignment
sheet: 15.6 Stewart 4th ed.
Important! The HW for
this section is not in your book. It is the second page with
the assignment sheet.
 HW 4 Video: 15.6 (4th ed.) Surface Area HW Video
*Note lessons are in a different order than on assignment sheet.
 Ch. 15  Day 6 Activities
 Ch. 15  Day 7 Activities
Chapter 16  Vector Calculus
The videos for Chapter 16 are already organized on the web page
linked below from when I was preparing for maternity leave in 20132014.
Since I have that separate, the links below are organized differently than I had
above, but I think it is clear what goes with which day.
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Linear Algebra  Period 4 & Period 7
Regular Linear Algebra Class Page
★ Spring 2020
Calendar/Pacing Guide  Linear Algebra ★
Notebook/HW Cover Sheets:
○
Chapters 4 & 5
(same as normal)
○
Chapters
6, 7, 8 (same as normal)
End of Chapter 4
Chapter 5  General
Vector Spaces
Help: Student Solution Manual Scans
for Chapter 5 (see email for password)
 Lesson 1: Vector Spaces
 Lesson 2: Spanning, Linear Independence, Basis, and Dimension
 Lesson 3: Row Space, Column Space, and Nullspace
 Quiz #4 Sections 5.1  5.6
(solutions No peeking!)
 Professor Dave Explains Videos for Review
I found these too late for this chapter, but if you are looking for
something to use for review, these could be useful.
Chapter 6  Inner Product Spaces
Help: Student Solution Manual Scans
for Chapter 6 (see email for password)
 Lesson 1: 6.1 & 6.2 Inner Product Spaces
 Lesson 2: 6.3 Orthonormal Bases, GramSchmidt, and
QRDecomposition
 Lesson 3: 6.5 Orthogonal Matrices and Change of Basis

Quiz #5 Sections 6.1  6.5 (solutions
No peeking!)

Time for a Laugh: "Ma & Pa Kettle"
Chapter 7  Eigenvalues and Eigenvectors
Help: Student Solution Manual Scans
for Chapter 7 (see email for password)
Chapter 8  General Linear Transformations
Help: Student Solution Manual Scans
for Chapter 8 (see email for password)
 Lesson: 8.1 & 8.2 General Linear Transformations
Additional Support
 Essence of Linear Algebra Video Series:
Essence of Linear Algebra on YouTube
I've heard good things about this series for helping to visualize and
understand the big ideas. I have not watched all of these and note that the
series addresses topics in a different order than we do.
 Professor Dave Explains Video Series:
Linear Algebra on YouTube by
Professor Dave Explains
I have not watched all of these. What I have seen looks like they would
be good support for lessons and review. I wish I had found these earlier
instead of while preparing Chapter 7.
 Sheldon Axler Video Series to Support "Chapter 5 General Vector Spaces"
Of all of the video series I found, this one seems to be most similar to
what we do in the first four sections of Chapter 5 and uses essentially the
same definitions for Vector Space, Subspace, Span, Linear Independence,
Basis, and Dimension. Note: I have not fully watched all of these videos,
but skimmed them to check their definitions.
The notation is a little different and you do not need to worry about
complex numbers. I think these will be good support if you are looking for
additional explanations of the key definitions in this part of the chapter.
 This one has some potential...Just posting it for now, but I really
haven't looked at it yet.
http://www.math.brown.edu/~sswatson/classes/math0520/index.html
 This is UCSB's list that looks like they gleaned videos from across the
internet on different topics. Again, I haven't fully explored it yet.
http://web.math.ucsb.edu/oml/4A.html
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Advanced Topics in Math  Period 3
 Top 
11.1
Sequences Notes Filled In
8.2 Area
of Surface of Revolution Notes Filled In