# Differential Equations, Calculus 3 and Linear Algebra for Advanced High School Students

Many top-notch 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.These advanced students may finish Calculus I (AB) and Calculus II (BC) during their junior year of high school. For these accelerated students, enrolling in Differential Equations, Linear Algebra, and perhaps Calculus 3 - Vector Calculus, 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 Calculus 3 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 10, 2020*

Review by: Benjamin T.

Courses Completed: Calculus I

Review: This course provided an excellent chance to learn about Calculus...again. I took calculus in high school, but I learned so much more with this course! It does take a good amount of time to do all the lessons, so definitely keep on top of them, but all the exercises helped me to really understand the material. And the nice thing is you can do it on your own time at home.

Transferred Credits to: Western University of Health Sciences: College of Optometry

*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: 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.01 - Vectors

- V1: VC.01 - Vectors:
- V1.1: VC.01 - Basics
- V1.1.a: VC.01.B1: Vectors: How you move them, how you add them, how you subtract them, and how you multiply them by numbers
- V1.1.b: VC.01.B2: Tangent vectors, velocity vectors, and tangent lines
- V1.1.c: VC.01.B3: Length of a vector, dot product, and distance between two points
- V1.1.d: VC.01.B4: The push of one vector in the direction of another, and the formula: X * Y = |x| |y| cos(b) where b is the angle between X and Y}
- V1.1.e: VC.01.B5: X*Y = 0 means X is perpendicular to Y
- V1.2: VC.01 - Tutorials
- V1.2.a: VC.01.T1: Velocity and acceleration
- V1.2.b: VC.01.T2: Using the normal vector to bounce light beams off two-dimensional curves
- V1.2.c: VC.01.T3: Lines
- V1.2.d: VC.01.T4: Pursuits
- V1.2.e: VC.01.T5: Spying along the tangent
- V1.3: VC.01 - Give It a Try
- V1.3.a: VC.01.G1: Vector and line fundamentals
- V1.3.b: VC.01.G2: Measurements
- V1.3.c: VC.01.G3: With or against?
- V1.3.d: VC.01.G4: Velocity and acceleration
- V1.3.e: VC.01.G5: The coordinate axes and coordinate planes in three dimensions
- V1.3.f: VC.01.G6: Serious plotting: Parametric planets
- V1.3.g: VC.01.G7: Lines
- V1.3.h: VC.01.G8: Lasers
- V1.3.i: VC.01.G9: Parabolic reflectors, spherical reflectors, and elliptical reflectors
- V1.3.j: VC.01.G10: Pursuits by a robotic cowhand
- V1.3.k: VC.01.G11: Stealth technology
- V1.4: VC.01 - Literacy
- V1.5: VC.01 - Revisited
- V1.5.a: VC.01.B1 - Revisited
- V1.5.b: VC.01.B2 - Revisited
- V1.5.c: VC.01.B3 - Revisited
- V1.5.d: VC.01.B4 - Revisited
- V1.5.e: VC.01.B5 - Revisited
- V1.5.f: VC.01.T1 - Revisited
- V1.5.g: VC.01.T2 - Revisited
- V1.5.h: VC.01.T3 - Revisited
- V1.5.i: VC.01.T5 - Revisited
- V1.5.j: VC.01.G3.b - Revisited
- V1.5.k: VC.01.G7.c - Revisited
- V1.5.l: VC.01.G8 - Revisited