ul xm521 mutivariable differential calculus · pdf filexm521: week 1 2 welcome to the course!...
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Week 1
UL XM521 Mutivariable Differential Calculus
Instructor: Margarita Kanarsky
XM521: 1
Week 1XM521: 2
Welcome to the course!
Meetings and communication:
AC meetings
AC Class meetings Wednesday, 5:00-6:15 pm PT AC Office hours Monday, 5:40-6:40 pm PT
[email protected] Any time
Week 1Week 1: 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 local community colleges
• Tutored various EPGY courses since 2011
• Last four years: teaching university-level math courses at SPCS
Week 1Week 1: 4
Introduction (yours):
• Name
• Your grade level at school
• Where do you live? (on the map)
• Answer a question: if you happen to have few hours of free time, what would you do?
Week 1XM521: 5
Assessments:Two exams (midterm and final). No other assignments are to be submitted/graded.
Proctoring: Letter Grade independent proctoring ( a teacher/counselor at school etc.)Non-letter Grade parent or independent proctoring
* You may switch a “letter grade” to a “non-letter grade” any time throughout the course, even after the final exam.* You can receive a letter grade only when both exams were proctored by an independent proctor.* No grade is assigned for non-passing grades (no record on the transcript).
Grading:
The course grade is the average of scores obtained on two exams.
The Pass/Fail scale:
CR: 60-100
NP: <60
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
Week 1XM521: 6
Withdrawals/refunds:
Week 1 through end of Week 2 (Sunday): Full refund of tuition is possible. Please state the reason for withdrawing. Week 3 through end of Week 4 (Sunday): Refund of 80% of tuition.Week 5 and later: No refund available.
* Registration fees are non-refundable, the above only refers to tuition.* There is always a possibility to transfer to a future term instead of withdrawing.
Transfer:
You may be able to rollover to the next term (for a $150 fee). This can be done only once.
Week 1XM521: 7
Time management:Expect a lot of independent work from the start. Allocate several hours a week.
Communication: (Learn to) feel comfortable to ask questions during the class meeting and/or in email.In your email, be specific! - Indicate your course and your name.- If a question is about a problem from your textbook include the image of the
problem or retype it – I need to have it, as we most likely have different editions!
You can expect my prompt response to your messages on any issues.
Week 1XM521: 8
Weekly work:
• Read corresponding sections of the textbook“Calculus” (Anton, Bivens, Davis; Edition 6, 7, 8 or 9)See Course Schedule for reading assignments
• Watch pre-recorded lectureslagunita.stanford.edu
• Do online exercises course lectures and pdf file from Downloads
• Do offline exercises (including textbook exercises)download the assignments from Downloads
Week 1XM521: 9
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Rectangular coordinate system in 3-space:
Coordinate planes; octants; coordinates
Week 1XM521: 11
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
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Cylindrical surfaces; graphing equations in 2 variables in 3-space
extrusion
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Operations on vectors: addition
Vectors viewed geometrically
Week 1XM521: 18
Operations on vectors: scalar multiplication
Week 1XM521: 19
Operations on vectors: Subtraction
Week 1XM521: 20
Coordinate representation of vectors with initial point at the origin:
Arithmetic operations on vectors:
Week 1XM521: 21
Coordinate representation of vectors with initial point not at the origin:
Week 1XM521: 22
Rules of vector arithmetic:
Week 1XM521: 23
Norm of a vector:
2-space
3-space
Week 1XM521: 24
Unit Vectors:
Example: Example:
Week 1XM521: 25
Normalizing a vector:
Week 1XM521: 26
Exercises:
Week 1XM521: 27
COLLABORATE:
Week 1XM521: 28
Exercises:
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