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Common Core

N-VM.C.11

15 lessons teach this standard. Every lesson is interactive, and every one prints as a worksheet with a separate answer key.

Multivariable Calculus · Chapter 1 · Lesson 2

The Dot Product

A number that measures agreement.

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Multivariable Calculus · Chapter 1 · Lesson 3

The Cross Product and Planes

A vector perpendicular to two others.

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Multivariable Calculus · Chapter 8 · Lesson 3

Green's Theorem and What Comes Next

The boundary knows what the inside is doing.

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Linear Algebra · Chapter 3 · Lesson 1

Matrix Times Vector

A weighted recipe of the columns.

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Linear Algebra · Chapter 4 · Lesson 1

Matrices as Transformations

The columns are where the basis vectors land.

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Linear Algebra · Chapter 4 · Lesson 2

The Standard Transformations

Rotations, reflections, shears and scalings.

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Linear Algebra · Chapter 7 · Lesson 1

Eigenvectors and Eigenvalues

The directions a transformation refuses to turn.

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Linear Algebra · Chapter 7 · Lesson 2

Finding Eigenvalues

The characteristic equation, and where it comes from.

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Linear Algebra · Chapter 7 · Lesson 3

Diagonalization

Choosing the basis in which the matrix is simple.

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Linear Algebra · Chapter 8 · Lesson 1

Orthogonality and the Dot Product

Right angles, in any number of dimensions.

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Linear Algebra · Chapter 8 · Lesson 2

Projections

The shadow one vector casts on another.

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Linear Algebra · Chapter 8 · Lesson 3

Least Squares and Applications

The best answer when there is no exact one.

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Differential Equations · Chapter 7 · Lesson 1

Systems of Differential Equations

Two quantities changing, each depending on the other.

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Differential Equations · Chapter 7 · Lesson 2

Phase Portraits

The whole future of a system, drawn in one picture.

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Differential Equations · Chapter 7 · Lesson 3

Eigenvalues and Stability

The algebra behind every phase portrait.

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