# Calculus 4 - Multivariable Calculus - Vector Calculus Online Accredited Course

It is important that any Calculus 4 course you wish to take online, you need to make sure this course is from a**regionally accredited college/university**so that the credits you earn from this course will actually transfer to your home college/university.

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.

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 Distance Calculus @ Roger Williams University:

## Earning Real Academic Credits for Calculus

## Applied Calculus vs Calculus I

## Distance Calculus - Student Reviews

*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: Jan 19, 2020*

Review by: Dan P.

Courses Completed: Calculus I, Calculus II

Review: I found the courses to be informative, enjoyable, and most importantly, effective in helping me learn the concepts of calculus. My math skills were always very weak, and I had a great deal of difficulty passing my undergrad math courses. The pace of a traditional classroom setting was just too quick for the concepts to really sink in. With Distance Calculus, I had courses that were taught with the full rigor of an on-campus class, but where I could take my time and really learn the material...all while having access to top-tier instructional help for real math professors and assistants. DC gave me the tools and the confidence I needed, so after successfully passing my DC courses, I moved on and completed a master's degree in CS.

*Date Posted: Jan 19, 2020*

Review by: Dan P.

Courses Completed: Calculus I, Calculus II

Review: I found the courses to be informative, enjoyable, and most importantly, effective in helping me learn the concepts of calculus. My math skills were always very weak, and I had a great deal of difficulty passing my undergrad math courses. The pace of a traditional classroom setting was just too quick for the concepts to really sink in. With Distance Calculus, I had courses that were taught with the full rigor of an on-campus class, but where I could take my time and really learn the material...all while having access to top-tier instructional help for real math professors and assistants. DC gave me the tools and the confidence I needed, so after successfully passing my DC courses, I moved on and completed a master's degree in CS.

## 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