# Summer 2020 Calculus III - Vector Calculus Summer 2020 Online Calculus Academic Credits

Summer 2020 @ Roger Williams UniversitySummer 2020 Distance Calculus @ Roger Williams University operates 24/7/365 with open enrollment outside of the traditional academic calendar. We offer all of our courses during the Summer, Fall, Winter, before semesters traditionally start, after semesters start, during vacation weeks ... I think you get the idea :)

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If you wish to complete a Calculus III course online, make sure you take this course from a

**regionally accredited college/university**so that the credits you earn from this course will actually transfer to your home college/university.

The free courses available from the MOOCs (Massive Open Online Courses) like edX, Coursera, Udacity, Khan Academy, MIT Open Courseware, etc. are really excellent courses, but they do

**NOT**result in transferrable academic credits from an accredited university!

There are more than a few actual colleges/universities offering Calculus III - Vector Calculus courses online. Be careful as you investigate these courses - they may not fit your needs for actual course instruction and timing. Most require you enroll and engage your course during their standard academic semesters. Most will have you use a publisher's "automated textbook" which is .... um .... well, if you like that kind of thing, then you have a few options over there at those schools.

Summer 2020 Distance Calculus is all about real university-level calculus courses - that's all we do! We have been running these courses for 20+ years, so we know how to get students through the these courses fast fast fast!

Here is a video about earning real academic credits in Calculus III from Summer 2020 Distance Calculus @ Roger Williams University:

## Earning Real Academic Credits for Calculus

## Applied Calculus vs Calculus I

## Distance Calculus - Student Reviews

*Date Posted: Jan 19, 2020*

Review by: William Williams

Student Email: wf.williamster@gmail.com

Courses Completed: Linear Algebra, Probability Theory

Review: I have difficulty learning calculus based math, akin to dyslexia when examining the symbolic forms, equations, definitions, and problems. Mathematica based calculus courses allowed me to continue with my studies because of the option of seeing the math expressed as a programming language for which I have no difficulty in interpreting visually and the immediate feedback of graphical representations of functions, equations, or data makes a huge impact on understanding. Mathematica based calculus courses should be the default method of teaching Calculus everywhere.

Transferred Credits to: Thomas Edison State College

*Date Posted: Feb 28, 2020*

Review by: Karen N.

Courses Completed: Calculus I, Calculus II

Review: Awesome classes! I was really weak with Calculus, so I retook Calc 1 and kept going into Calc 2. I feel like I finally understood Calculus. The finals were pretty thorough, but not nearly as stressful as the blue book exams. I highly recommend these courses!

Transferred Credits to: Various

*Date Posted: Apr 10, 2020*

Review by: Benjamin T.

Courses Completed: Calculus I

Review: This course provided an excellent chance to learn about Calculus...again. I took calculus in high school, but I learned so much more with this course! It does take a good amount of time to do all the lessons, so definitely keep on top of them, but all the exercises helped me to really understand the material. And the nice thing is you can do it on your own time at home.

Transferred Credits to: Western University of Health Sciences: College of Optometry

## Distance Calculus - Curriculum Exploration

### VC.04 - Trajectories

- V4: VC.04 - Trajectories:
- V4.1: VC.04 - Basics
- V4.1.a: VC.04.B1: Vector fields and their trajectories
- V4.1.b: VC.04.B2: Flow of vector fields along curves; flow of vector fields across curves: Visual inspection
- V4.1.c: VC.04.B3: Flow of vector fields along curves; flow of vector fields across curves
- V4.2: VC.04 - Tutorials
- V4.2.a: VC.04.T1: Flow across and flow along: Visual inspection
- V4.2.b: VC.04.T2: Differential equations and and their associated vector fields
- V4.2.c: VC.04.T3: Flow across and along a curve and the sign of the dot product
- V4.2.d: VC.04.T4: The 2D electric field
- V4.2.e: VC.04.T5: Troubleshooting plots of vector fields
- V4.3: VC.04 - Give It a Try
- V4.3.a: VC.04.G1: Looking for sinks (drains)
- V4.3.b: VC.04.G2: Flow along and flow across
- V4.3.c: VC.04.G3: Normals, tangents and dot plots
- V4.3.d: VC.04.G4: The most important vector field of them all: The gradient field
- V4.3.e: VC.04.G5: Differential equations and their associated vector fields
- V4.3.f: VC.04.G6: Trajectories: Can they cross?
- V4.3.g: VC.04.G7: Drifting along with a tumbleweed
- V4.3.h: VC.04.G8: Logistic harvesting revisited
- V4.3.i: VC.04.G9: Water flow with spigots and drains
- V4.3.j: VC.04.G10: 2D Electrical fields
- V4.3.k: VC.04.G11: Gradient fields for max-min, Hamiltonian fields for level curves, and implicitly defined functions
- V4.4: VC.04 - Literacy