Precalculus

Incarcat la data: 19 Aprilie 2011

Autor: Admin

By Salman Khan - Khan Academy
Course Description:
Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible.
Lectures:
Lecture 1 - Introduction to Limits

Introduction to the intuition behind limits.

 
 
 
 
Lecture 5 - Limit Examples with Brain Malfunctions On

3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8)).

 
Lecture 6 - Squeeze Theorem

Intuition (but not a proof) of the Squeeze Theorem.

 
Lecture 7 - Proof: lim (sin x)/x

Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1.

 
Lecture 8 - More Limits

More limit examples.

 
Lecture 9 - Sequences and Series Part 1

Introduction to the arithmetic and geometric series.

 
Lecture 10 - Sequences and Series Part 2

Finding the sum of an infinite geometric series.

 
Lecture 11 - Permutations

Introduction to permutations.

 
Lecture 12 - Combinations

Introduction to combinations.

 
Lecture 13 - Binomial Theorem Part 1

Introduction to raising (a+b)^n.

 
Lecture 14 - Binomial Theorem Part 2

Binomial Theorem and Pascal's Triangle.

 
Lecture 15 - Binomial Theorem Part 3

Intuition behind why binomial expansion involves combinatorics.

 
Lecture 16 - Exponential Growth

Exponential growth involving bacteria (some calculus in part c).

 
Lecture 17 - Polar Coordinates 1

Introduction to polar coordinates.

 
Lecture 18 - Polar Coordinates 2

Conversion from Cartesian to Polar Coordinates.

 
Lecture 19 - Polar Coordinates 3

Converting between Cartesian and Polar functions.

 
Lecture 20 - Parametric Equations 1

Introduction to parametric equations.

 
Lecture 21 - Parametric Equations 2

Eliminating the parameter.

 
Lecture 22 - Parametric Equations 3

Removing the parameter from a more interesting example.

 
Lecture 23 - Parametric Equations 4

Parametric Equations that "move" along the same path.

 
Lecture 24 - Introduction to Function Inverses

Introduction to Function Inverses.

 
Lecture 25 - Function Inverse Example 1

Function Inverse Example 1.

 
Lecture 26 - Function Inverse Example 2

Function Inverses Example 2.

 
Lecture 27 - Function Inverse Example 3

Function Inverses Example 3.

 

Source: http://academicearth.org/courses/precalculus

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