# 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: 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: Feb 28, 2020*

Review by: Karen N.

Courses Completed: Calculus I, Calculus II

Review: Awesome classes! I was really weak with Calculus, so I retook Calc 1 and kept going into Calc 2. I feel like I finally understood Calculus. The finals were pretty thorough, but not nearly as stressful as the blue book exams. I highly recommend these courses!

Transferred Credits to: Various

*Date Posted: May 3, 2018*

Review by: James Holland

Courses Completed: Calculus I, Calculus II

Review: I needed to finish the Business Calculus course very very very fast before my MBA degree at Wharton started. With the AWESOME help of Diane, I finished the course in about 3 weeks, allowing me to start Wharton on time. Thanks Diane!

Transferred Credits to: Wharton School of Business, University of Pennsylvania

## 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