# Differential Equations - The Modern Approach

Differential Equations is a sophomore-level course in the calculus sequence, taken after the Calculus II course (integration theory with Taylor Series, Sequences, et al.)#### Freshman Math Courses

- Applied Calculus for Business [3 credits] [3CR]
- Applied Calculus for Life Science [3 credits] [3CR]
- Calculus I[4 credits] [4CR]
- Calculus II[4 credits] [4CR]

#### Sophomore Math Courses

- Multivariable Calculus III [4 credits] [4CR]
- Differential Equations [3 credits] [3CR]
- Linear Algebra [4 credits] [4CR]
- Probability Theory [3 credits] [3CR]

#### Honors Math Courses

- Honors Calculus I [5 credits] [5CR]
- Honors Calculus II [5 credits] [5CR]
- Honors Calculus I+II for Data Science [5 credits] [5CR]
- Honors Multivariable Calculus [5 credits] [5CR]
- Honors Differential Equations [4 credits] [4CR]
- Honors Linear Algebra [5 credits] [5CR]
- Honors Linear Algebra for Data Science [5 credits] [5CR]

#### Lower Division Math Courses

- Precalculus with Trigonometry [4 credits] [4CR]
- Introductory Statistics [4 credits] [4CR]
- Finite Mathematics [3 credits] [3CR]
- Discrete Mathematics [4 credits] [4CR]

#### Upper Division Math Courses

- Computational Abstract Algebra [4 credits] [4CR]
- Computational Differential Geometry [4 credits] [4CR]

A modern approach to differential equations is forget all of that paper and pencil classical technique - after all, is it really important to learn how to calculate the square root of 3 by hand? Our Modern approach to Differential Equations 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. Having a powerful tool like Mathematica means you can obtain the solution of a differential equation (if there is one!), but what does the solution mean? How do you interpret it? What does its graph mean? What if the differential equation changes just slightly? What is a driving term?

This modern approach to Differential Equations is a superior approach for physics, economics, and data science. Instead of having a bag of "here's how you solve this differential equation by hand", students leave the course with an appreciation to engage against any differential equation!

Here is a video on the Differential Equation course:

## Differential Equation Course

## Data Science and Distance Calculus

## Distance Calculus - Student Reviews

*Date Posted: Apr 13, 2020*

Review by: Jorgen M.

Courses Completed: Calculus I

Review: I really enjoyed this course, much more than I thought I would. I needed to finish this course very fast before starting my graduate degree program @ Kellogg. I was able to finish in 3 weeks. I liked the video lectures and the homework process. I highly recommend this course.

Transferred Credits to: Kellogg School of Business, Northwestern Univ

*Date Posted: Jul 12, 2021*

Review by: Henry R.

Courses Completed: Multivariable Calculus

Review: Fantastic and unique course, particularly good for visual/spatial thinkers. The course forces you to develop a real conceptual understanding of the math concepts, as opposed to just teaching math formulas like other courses tend to do. There is a steep learning curve early on to get used to the software and the kind of course this is. Ultimately, I feel like what I learned will allow me to actually use the math and build upon it in the future. If you care about learning, rather than just passing a requirement, this is a great course for you.

Transferred Credits to: Harvard University

*Date Posted: Jun 21, 2020*

Review by: Abdul J.

Courses Completed: Applied Calculus

Review: This was the best class! So much more interesting doing the computer math than a boring lecture class. Diane was so responsive and helpful. I recommend this course.

Transferred Credits to: Villanova University