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B42

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

An old syllabus for MAT B42.

Bessel's Inequality

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

Cycloid Parametrization

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

Week Notes 45

Fifth week of classes. An anniversary. A new card game.

Multilinearity of Wedge versus Forms

Magical Isomorphisms

Closed and Exact Forms

The Poincare Lemma Intuition

B42 W2025 Exam Q3: Wrong Way

B42 W2025 Exam Q3: Right Way

B42: Two Uses of Symmetry

Flow Lines of F(x,y)=(x,y)

Pull-Backs of 1-Forms

Term Test 2 Q4: Parametrizing A Complicated Circle

W2025 B42 Q3a: The Arclength Formula

W2025 B42 Q6

Flow Through Parallelograms

The Ends of A Stick: Boundary Points

Avoiding non-nice points.

Fejer Kernel has the control property

Cycloid Parametrization

Solution of Wave Equation with Particular Initial Confitions

Pointwise vs Uniform Convergence

Fourier Polynomials

Derivative as Linear Transformation

A little sketch of this in Desmos.

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

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

MAT B42: HW 4 Q 3

MAT B42: HW 2 Q 2

Generalized Stokes Theorem on A Box (Part 1)

Generalized Stokes Theorem on A Box (Part 2)

B42 TT1 Q4

Two Notions of Orientation

Flow Lines of F(x,y) = (x,y)

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