## Calculus&LiveMath I

by Davis/Porta/Uhl

Converted to LiveMath by Robert Curtis and Lee Wayand; 1.10 by Lee Wayand

# 1.03: Growth Rates - 1.03 - GiveItATry

- M3: 1.03: Growth Rates:
- M3.3: 1.03 - GiveItATry:
- M3.3.a: 1.03.G1: Relating f(x) and f'(x)
- M3.3.b: 1.03.G2: Explaining LiveMath Derivative Output
- M3.3.c: 1.03.G3: Approximation of the instantaneous growth rate f'(x) by average growth rates
- M3.3.d: 1.03.G4: Using the instantaneous growth rate f'(x) to predict the plot of f(x)
- M3.3.e: 1.03.G5: Graphics action
- M3.3.f: 1.03.G6: Up and down, maximum and minimum
- M3.3.g: 1.03.G7: Spread of disease
- M3.3.h: 1.03.G8: Average growth rate versus instantaneous growth rate
- M3.3.i: 1.03.G9: Why folks study the instantaneous growth rate instead of instantaneous growth

Curriculum Home with Demo Access

## Distance Calculus - Student Reviews

*Date Posted: Jan 12, 2020*

Review by: Anonymous

Courses Completed: Calculus I, Calculus II

Review: I needed to brush up on my high school calculus and finally take Calc II before starting a graduate program that needed them as prereqs. This was perfect choice to fit in that summer. Got done at fast pace that I wanted and needed. Also had added bonus of one on one feedback and help when needed. Video lessons were better than many on campus instructors in large lecture settings. Recommend for anyone needing to satisfy prereqs at home institution.

Transferred Credits to: University of Michigan

*Date Posted: Jan 12, 2020*

Review by: Anonymous

Courses Completed: Calculus I

Review: This course is amazing! I took it as a requirement for admission to an MBA program, and couldn't have been happier with the quality and rigor of the course. I previously took calculus two times (at a public high school and then a large public university commonly cited as a "public ivy"), this course was by far the best and *finally* made the concepts click. Previously I had no idea what was going on because terrible PhD students were teaching the course and saying stuff like "a derivative is the slope of a tangent line" - ??? but what does that mean ???, but the instructors in the Shorter University course explain everything in ways where it FINALLY made sense (e.g., "imagine a roller coaster hitting the top of a hill, there's a moment where it shifts momentum and you're not accelerating or decelerating, that's what a 0 rate of change is - that's when the derivative would be zero"). They explain everything in multiple ways and relate it to other concepts. It all made perfect sense when I finally had a good instructor. Really recommend this class

Transferred Credits to: The Wharton School, UPenn

*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