# Summer 2020 Multivariable Calculus Online Accredited Course

Summer 2020 @ Roger Williams UniversityIt is important that any Multivariable Calculus 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 Multivariable 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 Multivariable Calculus 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: 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: 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: 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.03 - Gradient

- V3: VC.03 - Gradient:
- V3.1: VC.03 - Basics
- V3.1.a: VC.03.B1: The gradient and the chain rule
- V3.1.b: VC.03.B2: Level curves, level surfaces and the gradient as normal vector
- V3.1.c: VC.03.B3: The gradient points in the direction of greatest initial increase
- V3.1.d: VC.03.B4: Using linearizations to help to explain the chain rule
- V3.2: VC.03 - Tutorials
- V3.2.a: VC.03.T1: The total differential
- V3.2.b: VC.03.T2: What's the chain rule good for?
- V3.2.c: VC.03.T3: The gradient and maximization and minimization
- V3.2.d: VC.03.T4: Eye-balling a function for max-min
- V3.2.e: VC.03.T5: Data fit
- V3.2.f: VC.03.T6: Lagrange's method for constrained maximization and minimization
- V3.3: VC.03 - Give It a Try
- V3.3.a: VC.03.G1: The gradient points in the direction of greatest initial increase
- V3.3.b: VC.03.G2: The gradient is perpendicular to the level curves and surfaces
- V3.3.c: VC.03.G3: The heat seeker
- V3.3.d: VC.03.G4: Doing 'em by hand
- V3.3.e: VC.03.G5: The highest crests and the deepest dips
- V3.3.f: VC.03.G6: Closest points, gradients and Lagrange's method
- V3.3.g: VC.03.G7: The Cobb-Douglas manufacturing model for industrial engineering
- V3.3.h: VC.03.G8: Data Fit in two variables: Plucking a guitar string
- V3.3.i: VC.03.G9: Linearizations and total differentials
- V3.3.j: VC.03.G10: Keeping track of constituent costs
- V3.3.k: VC.03.G11: The great pretender
- V3.3.l: VC.01.G1-A: Another Help Movie
- V3.3.m: VC.01.G1-B: Another Help Movie
- V3.3.n: VC.01.G1-C: Yet Another Help Movie
- V3.3.o: VC.03.G2.c Hint
- V3.4: VC.03 - Literacy
- V3.5: VC.03 - Revisited
- V3.5.a: VC.03.B1 - Revisited
- V3.5.b: VC.03.B2 - Revisited
- V3.5.c: VC.03.B3 - Revisited
- V3.5.d: VC.03.T1 - Revisited
- V3.5.e: VC.03.T2 - Revisited
- V3.5.f: VC.03.T3 - Revisited
- V3.5.g: VC.03.T4 - Revisited
- V3.5.h: VC.03.T6 - Revisited
- V3.5.i: VC.03.G1.b.i - Revisited
- V3.5.j: VC.03.G1.d.i - Revisited
- V3.5.k: VC.03.G1.d.ii - Revisited
- V3.5.l: VC.03.G2.c - Revisited