# 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: Feb 28, 2020*

Review by: Teddy M.

Courses Completed: Precalculus, Calculus I

Review: Pros: once you get going, you can go really fast. The visual textbook is pretty cool. The instructors were very responsive. Cons: the movies are great, but the software crashes more than it should. Sometimes it is just a hassle doing things in the software instead of on paper, but once I got used to the software, it was ok.

Transferred Credits to: Texas Christian University

*Date Posted: Feb 28, 2020*

Review by: Teddy M.

Courses Completed: Precalculus, Calculus I

Review: Pros: once you get going, you can go really fast. The visual textbook is pretty cool. The instructors were very responsive. Cons: the movies are great, but the software crashes more than it should. Sometimes it is just a hassle doing things in the software instead of on paper, but once I got used to the software, it was ok.

Transferred Credits to: Texas Christian University

*Date Posted: Dec 20, 2019*

Review by: Bill K.

Courses Completed: Calculus I, Calculus II, Multivariable Calculus, Linear Algebra

Review: I took the whole calculus series and Linear Algebra via Distance Calculus. Dr. Curtis spent countless hours messaging back and forth with me, answering every question, no matter how trivial they might seem. Dr. Curtis is extremely responsive, especially if the student is curious and is willing to work hard. I don't think I ever waited much more than a day for Dr. Curtis to get a notebook back to me. Dr. Curtis would also make videos of concepts if I was really lost. The course materials are fantastic. If you are a student sitting on the fence, trying to decide between a normal classroom class or Distance Calculus classes with Livemath and Mathematica, my choice would be the Distance Calculus classes every time. The Distance Calculus classes are more engaging. The visual aspects of the class notebooks are awesome. You get the hand calculation skills you need. The best summary I can give is to say, given the opportunity, I would put my own son's math education in Dr. Curtis's hands.

Transferred Credits to: None

## 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