Precalculus Camp

This course explores the basic properties of functions, conic sections, matrices and determinants, introductory trigonometry,and probability. It weaves together algebra, geometry, and mathematical functions in order to prepare one for Calculus.

15 topics

337 lectures

Educators

LL

Camp Curriculum

40 videos

Powers and Polynomial

25 videos

Rational Numbers

11 videos

41 videos

Exponential Functions

15 videos

61 videos

Parametric Equations

5 videos

Introduction to Vectors

15 videos

15 videos

Polar Coordinates

5 videos

30 videos

Introduction to Conic Sections

23 videos

15 videos

Introduction to Combinatorics and Probability

16 videos

Introduction to Sequences and Series

20 videos

Lectures

Inverses Of Matrices - Overview

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Inverses Of Matrices - Example 1

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Inverses Of Matrices - Example 2

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Inverses Of Matrices - Example 3

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Inverses Of Matrices - Example 4

In mathematics, the inverse of a square matrix is another matrix, which, when multiplied by the original matrix, gives the identity matrix.

Matrix Equations - Overview

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Matrix Equations - Example 1

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Matrix Equations - Example 2

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Matrix Equations - Example 3

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Matrix Equations - Example 4

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix can be used to define a linear transformation, that is, a way of transforming a vector into another vector by multiplying the vector by the matrix. For example, the 2 × 2 matrix above can be used to define the linear transformation that maps the vector (1, 2) to the vector (5, 7).

Add And Subtract Matrices - Overview

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Add And Subtract Matrices - Example 1

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Add And Subtract Matrices - Example 2

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Add And Subtract Matrices - Example 3

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Add And Subtract Matrices - Example 4

In mathematics, matrix addition is an operation that adds two matrices together, producing a third matrix. To add and subtract two matrices, they should have same dimensions.

Matrix Multiplication - Overview

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

Matrix Multiplication - Example 1

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

Matrix Multiplication - Example 2

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

Matrix Multiplication - Example 3

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

Matrix Multiplication - Example 4

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. A matrix is usually denoted by boldface capital letters A, B, C, and so on. The number of rows is denoted by "m", and the number of columns is denoted by "n". A matrix with "m" rows and "n" columns is an "m"×"n" matrix.

Determinant Of Matrices - Overview

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

Determinant Of Matrices - Example 1

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

Determinant Of Matrices - Example 2

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

Determinant Of Matrices - Example 3

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

Determinant Of Matrices - Example 4

In linear algebra, the determinant is a useful value for evaluating the volume of a parallelepiped (a three-dimensional generalization of a parallelogram) in terms of the area of its bases and the lengths of its sides. For a 2-by-2 square matrix, the determinant is also called the signed area and is denoted by |A|. The determinant is an example of a characteristic polynomial of a matrix. The determinant of a matrix A is denoted det(A).

Coefficients In Matrices - Overview

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

Coefficients In Matrices - Example 1

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

Coefficients In Matrices - Example 2

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

Coefficients In Matrices - Example 3

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.

Coefficients In Matrices - Example 4

In mathematics, the coefficients of a matrix are the values of the entries in the matrix. The coefficients can be numbers or expressions, and can be entered in any order. A coefficient matrix is a matrix whose coefficients are all zero except for the main diagonal.