Vector Calculus - Lecture 21: Conservative Vector Fields and Path Independence

Vector Calculus - Lecture 20: What is Path Independence of Line Integrals?

Vector Calculus - Lecture 19: A (More or Less) Proof of Green's Theorem

Vector Calculus - Lecture 18: How to Think About Green's Theorem

Vector Calculus - Lecture 17: Making Use of Green's Theorem

Vector Calculus - Lecture 16: Introduction to Green's Theorem

Vector Calculus - Lecture 15: Examples and Interpretations of Vector Line Integrals

Vector Calculus - Lecture 14: Introduction to Vector Line Integrals

Vector Calculus - Lecture 13: Flow Lines of Vector Fields

Vector Calculus - Lecture 12: What is a Gradient Field?

Vector Calculus - Lecture 11: What is a Vector Field?

Vector Calculus - Lecture 10: Scalar Line Integrals (Examples and Other Interpretations)

Vector Calculus - Lecture 9: Scalar Line Integrals (Definition and Motivation)

Vector Calculus - Lecture 8: Visualizing Scalar Fields

Vector Calculus - Lecture 7: The Curvature of a Curve

Vector Calculus - Lecture 6: The Angular Speed of a Path

Vector Calculus - Lecture 5: Parametrization by Arc Length

Vector Calculus - Lecture 4: The Arc Length of a Path

Vector Calculus - Lecture 3: The Tangent Line of a Path

Vector Calculus - Lecture 2: The Velocity and Speed of a Path

Vector Calculus - Lecture 1: Paths and Curves

2024 Putnam Math Competition - Question A6 - Determinant involving (1 - 3x - sqrt(1 - 14x + 9x^2))/4

2024 Putnam Math Competition - Question A2 - Polynomials with p(p(x)) - x = (p(x) - x)^2 * q(x)

2024 Putnam Math Competition - Question B1 - Numbers i+j-k in squares in a grid

2024 Putnam Math Competition - Question A1 - Solutions to 2a^n + 3b^n = 4c^n

Discrete convolution: Evaluating sums of products of central binomial coefficients

Constrained optimization: how to find the maximal area of a Norman window

Superpermutations but Easier - Minimal Injective Superstrings

How to do Polynomial Interpolation with Linear Algebra

Herschel tracks tutorial for Conway's Game of Life - Part 1 - Making oscillators of any large period

Applications of Linear Systems: Finding Commuting Matrices

Applications of Linear Systems: Finding Orthogonal Vectors

Solving the "Lights Out" Puzzle via Linear Algebra

First true period 15 and 16 glider guns found in Conway's Game of Life

What is the Maximum Possible Area of 3 Circles in a Triangle?

Linear Algebra - Lecture 44: Matrix Functions via Diagonalization

Linear Algebra - Lecture 43: Arbitrary Matrix Powers via Diagonalization

Linear Algebra - Lecture 42: The Fibonacci Sequence via Diagonalization

Linear Algebra - Lecture 41: Matrices with Distinct Eigenvalues are Diagonalizable

Linear Algebra - Lecture 40: Diagonalization and Large Matrix Powers

Linear Algebra - Lecture 39: The Characteristic Polynomial and Multiplicity

Linear Algebra - Lecture 38: Complex Numbers and Complex Eigenvalues

Linear Algebra - Lecture 37: Introduction to Eigenvalues and Eigenvectors

Linear Algebra - Lecture 36: Explicit Formulas for the Determinant

Linear Algebra - Lecture 35: Computing the Determinant (via Gaussian Elimination)

Linear Algebra - Lecture 34: Introduction to the Determinant (Geometrically)

Linear Algebra - Lecture 33: The Nullity of a Matrix

Linear Algebra - Lecture 32: The Rank of a Matrix

Linear Algebra - Lecture 31: The Dimension of a Subspace

Linear Algebra - Lecture 30: Bases of Subspaces

Linear Algebra - Lecture 29: Linear Dependence and Independence

Linear Algebra - Lecture 28: The Span of a Set of Vectors

Linear Algebra - Lecture 27: The Range and Null Space of a Matrix

Linear Algebra - Lecture 26: Subspaces

Linear Algebra - Lecture 25: One Sided Inverses and a Formula for 2x2 Inverses

Linear Algebra - Lecture 24: Computing the Inverse of a Matrix

Linear Algebra - Lecture 23: Introduction to the Inverse of a Matrix

Linear Algebra - Lecture 22: Elementary Matrices

Linear Algebra - Lecture 21: Solving Linear Systems (Part 3: Zero and Infinitely Many Solutions)

Linear Algebra - Lecture 20: Solving Linear Systems (Part 2: Row Echelon Form)