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 2 - Limit Examples (Part 1)
Some limit exercises.
Lecture 3 - Limit Examples (Part 2)
More limit exercises.
Lecture 4 - Limit Examples (Part 3)
More limit exercises.
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
