# Differential Equations - Fast Academic Credits!

Differential Equations online course via Distance Calculus is a sophomore-level course in the calculus sequence, taken after the Calculus II course (integration theory with Taylor Series, Sequences, et al.)The modern Differential Equations approach is to forget all of that paper and pencil classical technique - via the Calculus&Mathematica curriculum - is to look at differential equations as what they mean - not how to solve the (rather trivial) cases you can do by hand. Mathematica is a very powerful tool to obtain the solution of any differential equation (if there is one!), and so ... what does the solution mean? How do you interpret the solution? What does the solution's graph mean? What if there are slight changes to the differential equation? What is a driver? An Oscillator?

The Classical Differential Equations approach is concerned with a type of differential equation, and the paper and pencil techniques to solve the given type of differential equation.

This modern approach to Differential Equations is a superior approach for data science, physics, economics, and all branches of science that use mathematics (i.e. all of science!).

Here are some videos on the Differential Equations Online course:

## Data Science and Distance Calculus

## Differential Equation Course

## Distance Calculus - Student Reviews

*Date Posted: Jan 13, 2020*

Review by: Anonymous

Courses Completed: Calculus II

Review: This is the most interactive and productive online course I have ever taken. I had taken calculus before but never understood some of the underlying concepts until I took this course. If you want to really learn calculus in a way that will stay with you for the rest of your life, take this course.

Transferred Credits to: The college of New Jersey

*Date Posted: Feb 23, 2020*

Review by: Carl Conners

Courses Completed: Multivariable Calculus, Differential Equations, Linear Algebra

Review: After a really rough first year of calculus, I completed all of the second year calculus courses with Distance Calculus. It was like night and day the difference. My first year was so boring and monotonous. Multivariable Calculus, Differential Equations, and Linear Algebra through Distance Calculus were just so much different - so not boring at all. I thoroughly enjoyed these courses. So engaging.

Transferred Credits to: Michigan State University

*Date Posted: Apr 30, 2020*

Review by: Hannah J.

Courses Completed: Probability Theory

Review: Probability Theory was a great course. Very very thorough. I thought it would never end :). I was very prepared for my coursework in economics. Excellent refereshher of derivatives and integrals - really forced me to remember that stuff from freshman cal.

Transferred Credits to: Boston University

## Distance Calculus - Curriculum Exploration

### Logarithmic Functions

- P8: Logarithmic Functions:
- P8.1: What is a Logarithm?
- P8.1.a: Solving Power Function Equations: Roots
- P8.1.b: Solving Exponential Equations: ??
- P8.1.c: Manufacturing a Logarithm Function
- P8.1.d: Inverse Functions
- P8.1.e: Definition of the Logarithm Function
- P8.1.f: Logarithm Dictionary
- P8.1.g: Homework Problems
- P8.1.h: Homework Problems
- P8.1.i: Homework Problems
- P8.2: Examples of Logarithms
- P8.2.a: Different Bases
- P8.2.b: Natural Base: Natural Logarithm
- P8.2.c: Converting To Different Bases
- P8.2.d: Laws of Exponents
- P8.2.e: Not Laws
- P8.2.f: Homework Problems
- P8.3: Graphs of Logarithmic Functions
- P8.4: Solving Logarithmic and Exponential Equations
- P8.4.a: Solving by Graphing
- P8.4.b: Applying Logarithms
- P8.4.c: Homework Problems
- P8.4.d: Homework Problems
- P8.5: Managing Exponential Data
- P8.6: Logarithmic Functions Revisited