Menu

B42

• Plane without Point is Open

  2026-09-24

  

  https://www.desmos.com/calculator/edk36npkqa

• Winter 2022: MAT B42 Techniques of the Calculus of Several Variables II

  2021-05-17
  An old syllabus for MAT B42.
• Bessel's Inequality

  2024-01-31

  We check a simple lemma leading up to Bessel’s Inequality.

  

• Cycloid Parametrization

  2025-01-30

  

• B42: Integral over Sphere Meets Plane: Paco's Fix

  2025-03-17

  

• Week Notes 45

  2026-01-30
  Fifth week of classes. An anniversary. A new card game.
• Multilinearity of Wedge versus Forms

  2026-03-30

  

• Magical Isomorphisms

  2026-04-17

  

• Closed and Exact Forms

  2026-04-06

  

• The Poincare Lemma Intuition

  2026-04-06

  

• B42 W2025 Exam Q3: Wrong Way

  2026-03-30

  

• B42 W2025 Exam Q3: Right Way

  2026-03-30

  

• B42: Two Uses of Symmetry

  2026-03-30

  

• Flow Lines of F(x,y)=(x,y)

  2026-03-23

  

• Pull-Backs of 1-Forms

  2026-03-23

  

• Term Test 2 Q4: Parametrizing A Complicated Circle

  2026-03-16

  

• W2025 B42 Q3a: The Arclength Formula

  2026-03-19

  

• W2025 B42 Q6

  2026-03-19

  

• Flow Through Parallelograms

  2026-03-02

  

• The Ends of A Stick: Boundary Points

  2026-03-02

  

• Avoiding non-nice points.

  2026-02-26

  

• Fejer Kernel has the control property

  2026-01-29

  

• Cycloid Parametrization

  2026-01-29

  

• Solution of Wave Equation with Particular Initial Confitions

  2026-01-19

  

• Pointwise vs Uniform Convergence

  2026-01-12

  

• Fourier Polynomials

  2026-01-05

  

• Derivative as Linear Transformation

  2025-10-07

  

  A little sketch of this in Desmos.

• Closed but not exact form on the plane without the origin.

  2025-04-11

  

• Closed but not exact form on the plane without the origin. (Part 2)

  2025-04-11

  

• MAT B42: HW 4 Q 3

  2025-03-24

  

• MAT B42: HW 2 Q 2

  2025-03-24

  

• Generalized Stokes Theorem on A Box (Part 1)

  2025-03-25

  

• Generalized Stokes Theorem on A Box (Part 2)

  2025-03-25

  

• B42 TT1 Q4

  2025-03-25

  

• Two Notions of Orientation

  2025-03-20

  

• Flow Lines of F(x,y) = (x,y)

  2025-02-27

  

Thanks for reading! If you have any comments or questions about the content, please let me know. Anyone can contact me by email.