Math 22b
Spring 2022
22b Vector Analysis and Linear Algebra
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Course Staff:
Oliver Knill,knill@math MWF 9:30-10:30, 432
Rosie Shen,wshen@math Mon 2-3 PM SC 530
Kai Xu,kaixu@math Wed 3-4 PM, SC 530
Charles Fu,yfu@math Fri 2-3 PM, SC 530
AnaMaria Perez, anamariaperez@college, Mon 8:15-9:15 PM Math night
Charlie Yang, charlieyang@college, Tue 1-2 PM, SC 411
Nadine Meister, nmeister@college, Fri 4:30 PM, SC 411
Catherine Liang, cyliang@college, Mon 1:30 PM, Emerson 104
Luke Jackson, lukejackson@college Thu 1:30 PM, Harvard Hall 103
Thomas Kaminsky, tkaminsky@college Fri 10:30 AM, SC 411
Iris Chen, ichen@college Wed 10:30 AM, SC 109
External Links
Canvas 22b 2022
Accessibility
Math 1a, 2021
Math 21a, 2019
Linalg 2019
Analysis, 2018
21b, 2018
Wikipedia calc topics
Wikipedia linalg topics
Wolfram Alpha
Desmos Math Examples
Catch 22
Catch 22
All Handouts together, 258 pages
now including also the final exam. See also the
exams page
.
From a month ago: how time flies! `
Week
Monday
Wednesday
Friday
1
Unit 1: Pythagoras
Unit 2: Gauss-Jordan
Unit 3: Theorems,Proofs
2
Unit 4: Cross product
Unit 5: Surfaces
Unit 6: Visual Proofs
3
Unit 7: Curves
Unit 8: Arc length
Unit 9: Intuition
4
Unit 10: Coordinates
Unit 11: Parametrization
Unit 12: Creativity
5
Unit 13: Differential equations
Unit 14: First hourly
Unit 15: Contradiction
6
Unit 16: Chain rule
Unit 17: Taylor
Unit 18: Magic
7
Unit 19: Extrema
Unit 20: Lagrange
Unit 21: Island math
8
Unit 22: Double integrals
Unit 23: Substitution
Unit 24: How to solve
9
Unit 25: Solids
Unit 26: Surface Area
Unit 27: On Archimedes
10
Unit 28: Second hourly
Unit 29: Line integrals
Unit 30: Perpetual motion
11
Unit 31: Greens Theorem
Unit 32: Stokes Theorem
Unit 33: Discrete Calculus
12
Unit 34: Gauss Theorem
Unit 35: General Stokes
Unit 36: Discrete Worlds
13
Unit 37: Geometry and Fields
Unit 38: Hyperspace
Unit 39: Keywords Final
Here is the syllabus [PDF]
.