# Calculus 2 - Second Semester Calculus

Calculus 2 is the second semester Calculus-level course, usually taken as a freshman in college or university.Calculus 2 is a very long course, starting with basic integration theory and the Fundamental Theorem of Calculus, and then moving into techniques of integration (trigonometric substitution, hyperbolic trigonometric techniques, integration via differentiation, integration by parts, etc), and then moving in sequences, series, Taylor and Power Series, which are more general ways of describing functions using infinite polynomials, and then doing integration "not in finite terms" using these more general Power Series representations of functions to describe integration.

Calculus 2 is an excellent course to solidify your basic calculus skills of differentiation and integration, preparing you for Multivariable Calculus, Differential Equations, and further courses in physics, economics, and data science.

Below are some videos on our Calculus 2 Course:

## Calculus 2 Course

## How Fast Can You Complete a Distance Calculus Course

## Distance Calculus - Student Reviews

*Date Posted: Apr 6, 2020*

Review by: Paul Simmons

Courses Completed: Multivariable Calculus, Differential Equations

Review: I took Multivariable and Diff Eq during the summer. The DiffEq course was awesome - very useful for my physics and engineering course. I was unsure about Mathematica at first, but I got the hang of it quickly. Thank you Distance Calculus!

Transferred Credits to: University of Oregon

*Date Posted: Apr 5, 2020*

Review by: Catherine M.

Courses Completed: Calculus I

Review: Calculus I from Distance Calculus was wonderful! I took AB Calculus in high school, but I didn't take the AP Calc exam. Instead I took Calculus I with Distance Calculus, and it was so much better! It was a little review of topics, but not really. I really understood calculus when I finished!

Transferred Credits to: University of Chicago

*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

## Distance Calculus - Curriculum Exploration

### Linear Functions

- P3: Linear Functions:
- P3.1: Data Functions With Linearity Property
- P3.1.a: Fixed Output Increase
- P3.1.b: Input Intervals Constant
- P3.1.c: Input Intervals Vary
- P3.1.d: Slope of a Data Set
- P3.1.e: Checking All Points for Linearity Property
- P3.1.f: Which Function Grows Faster?
- P3.2: Algebraic Formula For Linear Data Sets
- P3.2.a: Finding Linear Formula
- P3.2.b: Slope
- P3.2.c: Output Axis Intercept
- P3.2.d: Almost Linear Data Sets
- P3.2.e: Homework Problems
- P3.3: Classical Linear Functions
- P3.3.a: y = m x + b
- P3.3.b: Given 2 Points, Find Linear Function
- P3.3.c: Parallel Lines
- P3.3.d: Perpendicularity
- P3.3.e: Point-Slope Form
- P3.3.f: Finding x-Intercept
- P3.3.g: Homework Problems
- P3.4: Solving Problems Involving Linear Functions
- P3.4.a: Gas Mileage and Hybrids
- P3.4.b: Purchasing MP3 Music Files
- P3.4.c: Tivo vs. NetFlix
- P3.4.d: Homework Problems
- P3.4.e: Homework Problems
- P3.5: Linear Functions Revisited