Calculus III Accredited Online Course

# Winter 2020 Calculus III - Vector Calculus Accredited Calculus Academic Credits

Winter 2020 @ Roger Williams University## Distance Calculus - Student Reviews

*Date Posted: Jan 12, 2020*

Review by: Anonymous

Courses Completed: Calculus I

Review: This course is amazing! I took it as a requirement for admission to an MBA program, and couldn't have been happier with the quality and rigor of the course. I previously took calculus two times (at a public high school and then a large public university commonly cited as a "public ivy"), this course was by far the best and *finally* made the concepts click. Previously I had no idea what was going on because terrible PhD students were teaching the course and saying stuff like "a derivative is the slope of a tangent line" - ??? but what does that mean ???, but the instructors in the Shorter University course explain everything in ways where it FINALLY made sense (e.g., "imagine a roller coaster hitting the top of a hill, there's a moment where it shifts momentum and you're not accelerating or decelerating, that's what a 0 rate of change is - that's when the derivative would be zero"). They explain everything in multiple ways and relate it to other concepts. It all made perfect sense when I finally had a good instructor. Really recommend this class

Transferred Credits to: The Wharton School, UPenn

*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: 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!

## 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