2. Welcome to the course! Meetings and communication: AC meetings
AC Class meetings Thursday, 3:45-5:00 pm PT
AC Office hours Monday, 3:30-4:30 pm PT
Any time

3. Introduction (mine):
MS Applied Math (Moscow State University, Russia) 1993
PhD Mathematics, MS Computer Science (Emory University, Atlanta) 2000
Taught Mathematics and Statistics in community colleges (Ohlone, DVC)
Tutored various EPGY courses since 2011
Last three years: teaching university-level math courses at SPCS

4. Introduction (yours):
Name
Your grade level at school (in the pod)
Where do you live? (on the map)
Answer a question: if you happen to have few hours of free time, what would you do? (in the pod)

5. Pass/Fail could use parent proctoring
Assessments:
Two exams (midterm and final). No other assignments are to be submitted.
Proctoring:
Pass/Fail could use parent proctoring
Letter Grade independent proctoring ( a teacher/counselor at school etc.)
you receive a letter grade only when both exams are independently proctored
you may switch a “letter grade” to a “non-letter grade”
Proctor registration:
you will register your proctor through the website (information will be provided)
proctor will download/upload the exam through the proctor’s page
Grading:
The grading scale is: A:
86-100
A-:
83-85
B+:
80-82 B:
76-79
B-:
73-75
C+:
70-72 C:
65-69
C-:
60-64
NP:
<60
The Pass/Fail scale:
CR:
60-100
NP:
<60
The course grade is the average of
scores obtained on two exams.

6. What should you be ready for?
To do a lot of independent work from the start!
To allocate several hours per week for studying
What should you expect?
My prompt response to your messages on any issues (administrative or subject-related).
My extensive feedback to your exam solutions.
What should I expect from you?
Your desire to learn and advance!
Communicating with me for help when needed!
I ask to be specific in your
- indicate your course and your full name (and preferred name if there is one)
- if asking about a problem from the textbook or a lecture, include the image of
the problem or retype it

7. Weekly work:
Listen to the lectures (see shared screen)
lagunita.stanford.edu
Read corresponding sections of the textbook
“Calculus” (Anton, Bivens, Davis; Edition 6, 7, 8 or 9)
See Course Schedule for reading assignments
Do online exercises
course lectures and pdf file from Downloads
Do offline exercises (including textbook exercises)
download the assignments from Downloads

8. Downloads: True-False and Textbook exercises

10. By the end of Week 1:
You would learn how to plot equations in 2 variables in 3-space and how to describe and manipulate with vectors.
These are just few examples:
Plot f(x,y)=0 in 3-space.
Describe vectors using coordinates
Find the norm of the vector
Add vectors and solve problems involving vector addition

11. Rectangular coordinate system in 3-space:
Coordinate planes; octants; coordinates

12. The distance formula. Equation of the sphere.
The distance formula in 3-space:
The standard equation of the sphere:
k > 0
k = 0
k < 0

14. Cylindrical surfaces; graphing equations in 2 variables in 3-space
extrusion

18. Vectors viewed geometrically
Operations on vectors: addition

19. Operations on vectors: scalar multiplication

20. Operations on vectors: Subtraction

21. Coordinate representation of vectors with initial point at the origin:
Arithmetic operations on vectors:

22. Coordinate representation of vectors with initial point not at the origin:

23. Rules of vector arithmetic:

24. Norm of a vector:
2-space
3-space

25. Unit Vectors:
Example:
Example:

26. Normalizing a vector:

27. Exercises:

28. COLLABORATE:

29. Exercises: