CalcTwoSoftChalk

Getting Started

This resource is meant to aid you as you "brush up" on some of the content that you will need to be successfull in a Calculus 2 course. You may use the tutorials and examples gathered below to help you. This resource will be available to you thoughout the term. Please take advantage of it.

 

Please use the navagation from the Conents page to jump to any topic that you would like to learn or review. You may return to this page whenever you would like by clicking on "Conents" at the top left of the screen or "toc" at the bottom left of any page.

 

Disclaimer

The tutorials and other online resources are not controlled by the faculty at Gannon University. If any of the links do not seem to be taking you to the correct place, please let your instructor know so the problem can be resolved.

Algebra

 

The 5 main properties of exponents

Kahn Academy Tutorial on the properties of exponents

 

Negative exponents and an exponent of zero

Khan Academy Tutorial on zero and negative exponents

 

Rational Exponents

Khan Academy Tutorial on rational exponents

 

How to simplify expressions involving square roots

Youtube tutorial on expressions involving square roots

How to simplify expressions with exponents

Khan Academy Tutorial on simplifying expressions with exponents

 

Simplifying Rational Expressions

Khan Academy Tutorial on simplifying rational expressions with exponents

 

Adding and subtracting rational expressions

Khan Academy Tutorial on adding and subtraction rational expressions

 

Multiply by Conjugate

Youtube tutorial on the conjugate

 

How to complete the square

Khan Academy Tutorial on completing the square

 

Logarithm

Definition of a Logarithm

 

What is a logarithm?

Khan Academy Tutorial on logarithms

Logarithmic Properties

 

 

Khan Academy Tutorial on logarithmic properties

Trigonometry

 

Sine and Cosine

Khan Academy Tutorial on Sine and Cosine

Khan Academy Tutorial on the Pythagorean theorem

 

Basic Trigonometric Values

 

θ in Degrees

θ in Radians

sinθ

cosθ

tanθ

0°

 

 1

 

30°

45°

1 

60°

90°

 1

 

UND 

180°

 

- 1

 

270°

 -1

 

 UND

360°

 

 1

 

 

 

 

 

 

Soh-Cah-Toa

Khan Academy Tutorial on Soh-Cah-Toa

 

 

Soh-Cah-Toa

 

 

Trigonometric Identities

Reciprocal

  

Ratio

 

Pythagorean

 

 

 

Sum and Difference

 

 

 

Double-Angle

                     

                     

 

OR

 

Half-Angle

 

Product to Sum

 

Sum to Product

 

Solving trigonometric equations

Youtube tutorial on solving trigonometric equations

Calculus 1

Limits involving infinity

 

 

 

 

Examples:

 

 

 

 

 

 

Basic Derivatives and Trigonometric Derivatives

 

Basic Differentiation Rules

  Rule

Function

Derivative

 Constant

 

 

 Constant Multiple

 

 

 Sum

 

 

Difference

 

 

Power 

 

 

Trigonometric

 

 

 

 

 

 

 

 

 

 

 

 

 

 Product

 

 

 Quotient

 

 

 

Chain

 

Khan Academy Tutorial on Calculating Derivatives of Polynomials

Khan Academy Tutorial on Calculating Derivatives of Trigonometric Functions

 (Note that we will learn the derivatives and antiderivatives associated with the exponential function and the natural logarithm function in Calculus 2.)

 

Chain Rule

 

Khan Academy Tutorial on Understanding the Chain Rule

Sources

Much of the content from this resource has been gained from the following sources:

Stewart's Essential Calculus, Second Edition, the Khan Academy, and YouTube.