# Multivariable Calculus (Calculus 3) in High School

Many very motivated and eager high school students will finish Calculus AB (Calculus I) and Calculus BC (Calculus II) during their junior or senior year of high school.If you finish these AP Calculus courses during your senior year, then one option to get ahead with your academic plan is to complete the next course - Calculus 3 (Calculus III) - Multivariable Calculus - during the summer before you start your new undergraduate university. Earning real collegiate academic credits for Multivariable Calculus and then transferring those credits to your new undergraduate college/university is an excellent way to start your new school with some advanced mathematics credits under your belt.

Some very eager students may finish Calculus I (AB) and Calculus II (BC) during their junior year of high school. For these students, enrolling in Multivariable Calculus, and perhaps Differential Equations and Linear Algebra, via Distance Calculus @ Roger Williams University is an excellent way to FINISH your lower division mathematics courses even before you step foot onto your new college/university campus the following Fall semester!

Here is a video about our Multivariable Calculus course via Distance Calculus @ Roger Williams University:

## Multivariable Calculus

## Multivariable Calculus & High School

## After AP Calculus for High School Students

## 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: 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.05 - 2D Measurements

- V5: VC.05 - 2D Measurements:
- V5.1: VC.05 - 2D Measurements - Basics
- V5.1.a: VC.05.B1: Measuring flow across a curve with the integral
- V5.1.b: VC.05.B2: Measuring flow along a curve with the integral
- V5.1.c: VC.05.B3: Measurements by path integrals
- V5.1.d: VC.05.B4: Directed curves; path integral; path independence, and graident fields
- V5.2: VC.05 - 2D Measurements - Tutorials
- V5.2.a: VC.05.T1: Backward and forward
- V5.2.b: VC.05.T2: Screwing up
- V5.2.c: VC.05.T3: Recognizing gradient fields: The gradient test
- V5.2.d: VC.05.T4: Line integrals
- V5.2.e: VC.05.T5: Summary of main ideas
- V5.3: VC.05 - 2D Measurements - Give It a Try
- V5.3.a: VC.05.G1: Flow along and flow across
- V5.3.b: VC.05.G2: Path integrals: Backward and forward
- V5.3.c: VC.05.G3: Calculations and interpretations
- V5.3.d: VC.05.G4: Water
- V5.3.e: VC.05.G5: Sources and sinks
- V5.3.f: VC.05.G6: Gradient fields are where the mathematical action is
- V5.3.g: VC.05.G7: Work and how the physicists measure it
- V5.3.h: VC.05.G8: Spin fields
- V5.3.i: VC.05.G9: "Calculus Cal" screws up again
- V5.3.j: VC.05.G10
- V5.4: VC.05 - 2D Measurements - Literacy