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! `
WeekMondayWednesdayFriday
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].

Math 22b 2022, Home | Oliver Knill, knill@math.harvard.edu,SciCenter 432, (617) 495-5549 | Department of Mathematics | FAS | Harvard University

Banner picture taken December 2021 at Harvard.