# 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: May 3, 2020*

Review by: Andris H.

Courses Completed: Applied Calculus

Review: I found out from my MBA program that I needed to finish calculus before starting the MBA. They told me 3 weeks before term started! I was able to finish Applied Calculus from Distance Calculus. Definitely a great class. Thanks Distance Calculus!

Transferred Credits to: SUNY Stony Brook

*Date Posted: Jan 12, 2020*

Review by: Mark Neiberg

Courses Completed: Calculus I, Calculus II, Multivariable Calculus

Review: Curriculum was high quality and allowed student to experiment with concepts which resulted in an enjoyable experience. Assignment Feedback was timely and meaningful.

*Date Posted: Aug 16, 2020*

Review by: Jennifer S.

Courses Completed: Calculus I

Review: The course was intense and required a lot of hard work. Professors ready available to assist when needed. Professors presented and explained materials/course work in detail and provided explanations and resources.

Transferred Credits to: University of New Haven, West Haven, CT

## 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