Course Description

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Cover Every Course Topic: This channel supports college level Introductory Calculus for Life Science 4-year programs as a tutorial companion or general refresh. It contains custom library of recorded video tutorials designed to help students achieve success. Each topic includes a concept overview and step-by-step examples, covering of every topic in standard US and Canadian college curriculum.

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Course curriculum

  • 1

    Vectors & Matrices

  • 2

    Subspaces of Rn

    • Subspaces of Rn | Example 1

    • Subspaces of Rn | Example 2
  • 3

    Describing Solution Sets

    • Describing Solution Sets | Overview
  • 4

    Row Reduction

    • Row Reduction of a Matrix | Overview

    • Row Reduction | Overview (pt 1)

    • Row Reduction | Overview (pt 2)
  • 5

    Gauss-Jordan

    • Gauss-Jordan | Overview
  • 6

    Linear Transformation

    • Linear Transformations | Overview

    • Linear Transformation | Overview

    • Linear Transformations | Example 1

    • Linear Transformations | Example 3
  • 7

    Invertible Matrices

    • Invertible Matrices | Example 1

    • Invertible Matrices | Example 2

    • Invertible Matrices | Example 3
  • 8

    Matrix Algebra

    • Matrix Algebra | Overview

    • Matrix Algebra | Example 1

    • Matrix Algebra | Example 2

    • Matrix Algebra | Example 3
  • 9

    Kernel and Image of a Linear Transformation

    • Range & Kernal | Overview

    • Range | Example

    • Kernal | Example

    • Kernel and Image of a Linear Transformation | Example 2

    • Kernel and Image of a Linear Transformation | Example 1
  • 10

    Linear Independence

    • Linear Independence | Overview (pt 1)

    • Linear Independence | Overview (pt 2)

    • Linear Independence | Overview

    • Linear Independence | Example 1

    • Linear Independence | Example 2

    • Linear Independence | Example 3
  • 11

    Column & Row Space

    • Row Space & Column Space | Overview (pt 1)

    • GRow Space & Column Space | Overview (pt 2)

    • Row Space Column Space | Example 1

    • Row Space Column Space | Example 2
  • 12

    Change of Basis

    • Change of Basis | Overview

    • Basis | Overview

    • Change of Basis | Overview (pt 1)

    • Change of Basis | Overview (pt 2)

    • Change of Basis | Example

    • Change of Basis | Similar Matrices | Example 3
  • 13

    Dimensions

    • Dimensions | Overview
  • 14

    Rank-Nullity Theorem

    • Rank & Nullity | Overview

    • Rank - Nullity | Overview (pt 1)

    • Rank - Nullity | Overview (pt 2)

    • Rank-Nullity Theorem |Example 1

    • Rank-Nullity Theorem | Example 2
  • 15

    Coordinates

    • Coordinates | Example 1

    • Coordinates | Example 2
  • 16

    Orthogonality

    • Orthogonality| Overview (pt 1)

    • Orthogonality | Overview (pt 2)
  • 17

    Orthogonal Projections & Transformations

    • Orthogonal Projections & Transformations | Overview (pt 1)

    • Orthogonal Projections & Transformations | Overview (pt 2)

    • Orthogonal Bases-Projections | Example 1

    • Orthogonal Bases-Projections | Example 2

    • Orthogonal Bases-Projections | Example 3

    • Orthogonal Matrices and Transformations | Example 1

    • Orthogonal Matrices and Transformations | Example 2
  • 18

    Gram-Schmidt

    • Gram-Schmidt | Overview

    • Gram-Schmidt Process | Example
  • 19

    QR - Factorization

    • QR - Factorization | Overview (pt 1)

    • QR - Factorization | Overview (pt 2)

    • QR Factorization | Example 1

    • QR Factorization | Example 2

    • QR Factorization | Example 3
  • 20

    Least Squares Method

    • Least Squares Method | Overview

    • Least Squares Method | Example 1

    • Least Squares Method | Example 2

    • Least Squares Method | Example 3
  • 21

    Determinant

    • Determinants | Overview

    • Determinants | Example 1

    • Determinants | Example 2

    • Determinants | Example 3

    • Determinant | Overview

    • Determinants | Example 4
  • 22

    Eigen Values & Vectors

    • Eigen Values & Vectors | Overview

    • Eigen Values & Vectors | Overview (pt 1)

    • Eigen Values & Vectors | Overview (pt 2)

    • Eigen Values | Examples

    • Eigenvalues-Eigenvectors | Example 1

    • Eigenvalues-Eigenvectors | Example 2

    • Eigenvalues-Eigenvectors | Example 3
  • 23

    Column Space

    • Column Space | Overview
  • 24

    Diagonalization of Matrices & Dynamical Systems

    • Dimensions | Overview

    • Dynamical Systems | Overview (pt 1)

    • Dynamical Systems | Overview (pt 2)

    • Diagonalization | Overview (pt 1)

    • Diagonalization | Overview (pt 2)

    • Diagonalization-Symmetric Matrices-Discrete Dynamical Systems | Example 1

    • Diagonalization-Symmetric Matrices-Discrete Dynamical Systems | Example 2

    • Diagonalization-Symmetric Matrices-Discrete Dynamical Systems | Example 3
  • 25

    Echelon Form

    • Echelon Form | Overview
  • 26

    Gauss Method & Row Operations

    • Gauss Method & Row Operations | Overview
  • 27

    Inverses

    • Inverses | Overview
  • 28

    Linear Systems and Row Reduction

    • Linear Systems and Row Reduction | Example 1

    • Linear Systems and Row Reduction | Example 2

    • Linear Systems and Row Reduction | Example 3
  • 29

    Matrix Inverses

    • Matrix Inverses | Overview
  • 30

    Matrix Mappings

    • Matrix Mappings | Overview
  • 31

    Matrix Multiplication

    • Matrix Multiplication | Overview

    • Matrix Multiplication | Example
  • 32

    Matrix Sums & Scalar Products

    • Matrix Sums & Scalar Products | Overview
  • 33

    Similarity of Matrices

    • Similarity of Matrices | Overview
  • 34

    System & Matrix

    • \System & Matrix | Overview
  • 35

    Vector Spaces & Subspaces

    • Vector Spaces & Subspaces | Overview