# Summer 2020 Calculus 4 - Multivariable Calculus - Vector Calculus Accredited Calculus Academic Credits

Summer 2020 @ Roger Williams UniversityIf you wish to complete a Calculus 4 course online, make sure you take this course from a

**regionally accredited college/university**so that the credits you earn from this course will actually transfer to your home college/university.

The free courses available from the MOOCs (Massive Open Online Courses) like edX, Coursera, Udacity, Khan Academy, MIT Open Courseware, etc. are really excellent courses, but they do

**NOT**result in transferrable academic credits from an accredited university!

There are more than a few actual colleges/universities offering Calculus 4 - Multivariable Calculus - Vector Calculus courses online. Be careful as you investigate these courses - they may not fit your needs for actual course instruction and timing. Most require you enroll and engage your course during their standard academic semesters. Most will have you use a publisher's "automated textbook" which is .... um .... well, if you like that kind of thing, then you have a few options over there at those schools.

Summer 2020 Distance Calculus is all about real university-level calculus courses - that's all we do! We have been running these courses for 20+ years, so we know how to get students through the these courses fast fast fast!

Here is a video about earning real academic credits in Calculus 4 from Summer 2020 Distance Calculus @ Roger Williams University:

## Earning Real Academic Credits for Calculus

## Applied Calculus vs Calculus I

## Distance Calculus - Student Reviews

*Date Posted: Jun 6, 2020*

Review by: Douglas Z.

Courses Completed: Multivariable Calculus, Differential Equations, Linear Algebra, Probability Theory

Review: I loved these courses. So in depth and comprehensive. The mix of software and math curriculum was tremendously helpful to my future studies and career in engineering. I highly recommend these courses if you are bored of textbook courses.

Transferred Credits to: University of Massachusetts, Amherst

*Date Posted: May 21, 2020*

Review by: Chester F.

Courses Completed: Calculus I, Calculus II

Review: I did not enjoy Calculus I at my school. I retook Calculus I, and then Calculus II, over the summer via Distance Calculus and it was awesome. I started my sophomore year back on track and ready for my physics classes. I struggled with the MathLive software but I guess it was alright.

Transferred Credits to: University of North Carolina

*Date Posted: Jun 21, 2020*

Review by: Abdul J.

Courses Completed: Applied Calculus

Review: This was the best class! So much more interesting doing the computer math than a boring lecture class. Diane was so responsive and helpful. I recommend this course.

Transferred Credits to: Villanova University

## 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