# Summer 2020 Multivariable Calculus Accredited Calculus Academic Credits

Summer 2020 @ Roger Williams UniversityIf you wish to complete a Multivariable Calculus 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 Multivariable 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 Multivariable Calculus 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: Dec 9, 2019*

Review by: Louisa A.

Courses Completed: Calculus I

Review: My microeconomics class required college-level calculus as a prerequisite, and I didn't want to wait until next year to take the class. So, I took DC's Calculus I class over the summer, so I could register for econ when I got back to school this fall. I actually think I got more help taking the class online than I would have in the huge lecture classes here. Prof. Curtis was really clear in explaining concepts and talking me through the topics that I was having trouble with. It took me about 10 weeks to finish the class, which didn't seem too long and didn't feel rushed. My friends who are in calculus now, trying to finish the prereq, are pretty jealous!

*Date Posted: Mar 16, 2020*

Review by: Malia K.

Courses Completed: Applied Calculus

Review: Course was good and fast. I don't like math so I can't say it was fun or anything. Grader was very nice. Software was ok.

Transferred Credits to: University of Maine

*Date Posted: Mar 16, 2020*

Review by: Malia K.

Courses Completed: Applied Calculus

Review: Course was good and fast. I don't like math so I can't say it was fun or anything. Grader was very nice. Software was ok.

Transferred Credits to: University of Maine

## 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