differential equations

Differential Equations Essentials

Introduction to Differential Equations

Differential-Equations

Pre-Requisites

Mastering Differential Equations

Definition and Classification of Differential Equations, Initial Value and Boundary Value Problems, Direction Fields and Solutions

First-Order Differential Equations

Separable Equations, Linear First-Order Equations, Applications of First-Order Equations

Second-Order Differential Equations

Homogeneous Linear Equations, Nonhomogeneous Equations and Particular Solutions, Applications of Second-Order Equations

Higher-Order Differential Equations

Solving Higher-Order Linear Equations, Reduction of Order Method, Applications to Mechanical and Electrical Systems

Differential Equations Orders

Laplace Transforms

Definition and Properties of the Laplace Transform, Inverse Laplace Transform, Solving Differential Equations Using Laplace Transforms

Systems of Differential Equations

Systems of Differential Equations

Solving Linear Systems Using Matrices, Eigenvalues, Eigenvectors, and Stability, Applications to Population and Mechanical Systems

Series Solutions and Special Functions

Power Series Solutions Near Ordinary Points, Frobenius Method and Singular Points, Bessel and Legendre Equations

learners

Jump-start Success Today!

Platforms To Choose From

Personalized, interactive learning experiences delivered through a virtual/online platform, tailored to each student’s unique needs and schedule.  
(Ages: 8yrs - College/Adult)

Self-paced Pre-recorded Sessions

Pre-recorded class/sessions using a step-by-step approach to build confidence and problem-solving skills. 
(Ages: 14yrs - 18yrs)

- OR -

helpful links

Find Answers to Common Questions

Technical Requirements

Frequently Asked Questions

other details

Items to Consider

Extremely Helpful

Students should currently be enrolled in a math program/class or have taken the class in the past.

Jump-start Success!

Answers to Common Questions

Extended Topics

Partial Differential Equations and Wrap-Up

Introduction to Partial Differential Equations, Heat, Wave, and Laplace Equations, Introduction to Geometry