# Multivariable Calculus and Linear Algebra for Advanced High School Students

Many excellent high school students will finish Calculus AB (Calculus I) and Calculus BC (Calculus II) during their junior or senior year of high school, and look to take more mathematics courses during high school. Yet, in most high schools, Calculus II is the highest course offered.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 Linear Algebra, and perhaps Multivariable Calculus and Differential Equations, 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!

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 few courses: Linear Algebra, Calculus 3 (Calculus III) - Multivariable Calculus, and perhaps even Differential Equations and/or Calculus-Based Statistics (Probability Theory) - during your senior year or during the summer before you start your new undergraduate university. Earning real collegiate academic credits for Linear Algebra 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.

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

## Multivariable Calculus & High School

## Linear Algebra Course

## After AP Calculus for High School Students

## Distance Calculus - Student Reviews

*Date Posted: Apr 5, 2020*

Review by: Catherine M.

Courses Completed: Calculus I

Review: Calculus I from Distance Calculus was wonderful! I took AB Calculus in high school, but I didn't take the AP Calc exam. Instead I took Calculus I with Distance Calculus, and it was so much better! It was a little review of topics, but not really. I really understood calculus when I finished!

Transferred Credits to: University of Chicago

*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.

## Distance Calculus - Curriculum Exploration

### VC.06 - Sources

- V6: VC.06 - Sources:
- V6.1: VC.06 - Sources - Basics
- V6.1.a: VC.06.B1: Using a 2D integral to measure flow across closed curves
- V6.1.b: VC.06.B2: Sources, sinks, and the divergence of a vector field
- V6.1.c: VC.06.B3: Flow-across-the-curve measurements in the presence of singularities
- V6.2: VC.06 - Sources - Tutorials
- V6.2.a: VC.06.T1: The pleasure of calculating path integrals when mixed partials equation = 0
- V6.2.b: VC.06.T2: Using a 2D integral to measure flow along closed curves
- V6.2.c: VC.06.T3: Rotation (swirl) of a vector field
- V6.2.d: VC.06.T4: Summary of main ideas.
- V6.3: VC.06 - Sources - Give It a Try
- V6.3.a: VC.06.G1: Sources, sinks and swirls
- V6.3.b: VC.06.G2: Singularity sources, sinks and swirls
- V6.3.c: VC.06.G3: Agree or disagree
- V6.3.d: VC.06.G4: Flow calculations in the presence of singularities
- V6.3.e: VC.06.G5: 2D electric fields, dipole fields, and Gauss's law in physics
- V6.3.f: VC.06.G6: The Laplacian and steady-state heat
- V6.3.g: VC.06.G7: Calculating path integrals in the presence of singularities
- V6.3.h: VC.06.G8: Water and electricity
- V6.3.i: VC.06.G9: Is parallel flow always irrotational?
- V6.3.j: VC.06.G10: Spin fields
- V6.4: VC.06 - Sources - Literacy