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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Tutorials are created by subject experts who have taken and excelled in this course within the last three years at top institutions like UCLA and UC Berkeley.

Course curriculum

  • 1

    Differential Equations & Solutions

  • 2

    Separable Equations

    • Solutions to Separable Equations | Overview (pt 1)

    • Solutions to Separable Equations | Overview (pt 2)

    • Solutions to Separable Equations | Example 1

    • Solutions to Separable Equations | Example 2

    • Solutions to Separable Equations | Example 3

    • Solutions to Separable Equations | Example 4
  • 3

    Linear Equations

    • Linear Equations - Overview (pt 1)

    • Linear Equations - Overview (pt 2)

    • Linear Equations - Example 1

    • Linear Equations - Example 2

    • Linear Equations - Example 3
  • 4

    Mixing Problems

    • Mixing Problems | Overview (pt 1)

    • Mixing Problems | Overview (pt 2)

    • Mixing Problems | Example 1

    • Mixing Problems | Example 2
  • 5

    Exact Differential Equations

    • Exact Differential Equations | Overview (pt 1)

    • Exact Differential Equations | Overview (pt 2)

    • Exact Differential Equations | Overview (pt 3)

    • Exact Differential Equations | Example 1

    • Exact Differential Equations | Example 2

    • Exact Differential Equations | Example 3
  • 6

    Existence & Uniqueness of Solutions

    • Existence & Uniqueness of Solutions | Overview (pt 1)

    • Existence & Uniqueness of Solutions | Overview (pt 2)

    • Existence & Uniqueness of Solutions | Example 1

    • Existence & Uniqueness of Solutions | Example 2

    • Existence & Uniqueness of Solutions | Example 3
  • 7

    Autonomous Equations & Stability

    • Autonomous Equations & Stability | Overview (pt 1)

    • Autonomous Equations & Stability | Example 1

    • Autonomous Equations & Stability | Example 2

    • Autonomous Equations & Stability | Example 3

    • Autonomous Equations & Stability | Overview (pt 2)
  • 8

    Second Order Ordinary Differential Equations

    • 2nd Order Ordinary Differential Equations | Overview (pt 1)

    • 2nd Order Ordinary Differential Equations | Overview (pt 2)

    • 2nd Order Ordinary Differential Equations | Example 1

    • 2nd Order Ordinary Differential Equations | Example 2

    • 2nd Order Ordinary Differential Equations | Example 3
  • 9

    Linear, Homogenous Equations with Constant Coefficients

    • Linear, Homogenous Equations with Constant Coefficients | Overview (pt 1)

    • Linear, Homogenous Equations with Constant Coefficients | Overview (pt 2)

    • Linear, Homogenous Equations with Constant Coefficients | Example 1 & 2

    • Linear, Homogenous Equations with Constant Coefficients | Example 3

    • Linear, Homogenous Equations with Constant Coefficients | Example 4
  • 10

    Harmonic Motion

    • Harmonic Motion Concept | Overview (pt 1)

    • Harmonic Motion Concept | Overview (pt 2)

    • Harmonic Motion | Example 1

    • Harmonic Motion | Example 2

    • Harmonic Motion | Example 3
  • 11

    Method of Undetermined Coefficients

    • Method of Undetermined Coefficients | Overview

    • Method of Undetermined Coefficients | Example 1

    • Method of Undetermined Coefficients | Example 2

    • Method of Undetermined Coefficients | Example 3
  • 12

    Variation of Parameters

    • Variation of Parameters - Overview

    • Variation of Parameters | Example 1

    • Variation of Parameters | Example 2

    • Variation of Parameters | Example 3
  • 13

    Linear System with Constant Coefficients

    • Linear Systems with Constant Coefficients Concept | Overview (pt 1)

    • Linear Systems with Constant Coefficients Concept | Overview (pt 2)

    • Linear System with Constant Coefficients | Example 1

    • Linear System with Constant Coefficients | Example 2 & 3
  • 14

    Planar Systems

    • Planar Systems | Overview (pt 1)

    • Planar Systems | Overview (pt 2)

    • Planar Systems | Example 1

    • Planar Systems | Example 2 & 3
  • 15

    Phase Plane Portrait

    • Phase Plane Portraits | Overview (pt 1)

    • Phase Plane Portraits | Overview (pt 2)

    • Phase Plane Portrait | Example 1 & 2

    • Phase Plane Portrait | Example 3
  • 16

    Trace-Determinant Plane

    • Trace-Determinant Plane | Overview

    • Trace-Determinant Plane | Examples 1 - 3
  • 17

    Higher Dimensional Systems

    • Higher Dimensional Systems | Overview (pt 1)

    • Higher Dimensional Systems | Overview (pt 2)

    • Higher Dimensional Systems | Example 1

    • Higher Dimensional Systems | Example 2

    • Higher Dimensional Systems | Example 3
  • 18

    Exponential of a Matrix

    • Exponential of a Matrix | Overview (pt 1)

    • Exponential of a Matrix | Overview (pt 2)

    • Exponential of a Matrix | Example 1

    • Exponential of a Matrix | Example 2

    • Exponential of a Matrix | Example 3