Math 22a
Fall 2018
22a Linear Algebra and Vector Analysis
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About
Course Staff:
Oliver Knill: knill@math
David Yang: dyang@math
Aditya Dhar: adhar@college
Elliot Parlin: elliotparlin@college
External Links
Math22b, 2019
Math 1a, 2014
Math 21a, 2017
Math 21b, 2018
Wikipedia calc topics
Wikipedia linalg topics
Wolfram Alpha
Desmos Math Examples
Scene from Catch 22
Catch 22
Catch 22
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Math 22a Announcements (
Switch to 22b
)
22a Fall 2018,
PDF, 201 pages
22b Spring 2019,
PDF, 201 pages
The final exam is on the
exams page
.
Dec 16 2018:
calculus in hyperspace
. It also features a
3 torus
(Dec 17)
Dec 18:
Some slides (youtube)
.
All handouts combined:
105 Meg PDF, 200 pages
Week
Tuesday
Thursday
Friday
Due
1
Unit 1: Pythagoras
Unit 2: Gauss-Jordan
Unit 3: What is a Proof?
Tue Sep 11
2
Unit 4: Cross Product
Unit 5: Surfaces
Unit 6: Visual Proofs
Tue Sep 18
3
Unit 7: Curves
Unit 8: Arc Length
Unit 9: Intuition
Tue Sep 25
4
Unit 10: Coordinates
Unit 11: Parametrization
Unit 12: Creativity
Thu Oct 4
5
Unit 13: Hourly 1
Unit 14: PDE's
Unit 15: Contradiction
Tue Oct 9
6
Unit 16: Chain rule
Unit 17: Taylor
Unit 18: Magic
Tue Oct 16
7
Unit 19: Extrema
Unit 20: Lagrange
Unit 21: Island Math
Tue Oct 23
8
Unit 22: 2D Integrals
Unit 23: Substitution
Unit 24: How to Solve
Tue Oct 30
9
Unit 25: Solids
Unit 26: Surface Area
Unit 27: Archimedes
Thu Nov 8
10
Unit 28: Hourly 2
Unit 29: Line integrals
Unit 30: Perpetual Motion
Tue Nov 13
11
Unit 31: Green Theorem
Unit 32: Stokes Theorem
Unit 33: Discrete I
Tue Nov 20
12
Unit 34: Applications
Thanksgiving
Thanksgiving
Tue Nov 27
13
Unit 35: Gauss Theorem
Unit 36: General Stokes
Unit 37: Discrete II
Tue Dec 4
14
Unit 38: Geometry/Field
Unit 39: Literature
Unit 40: Hyper calculus
15
Unit 41: Final exam
Holidays
and happy new year
Syllabus brochure:
PDF
Course assistant job flyer