## Course: PrecalculusDnatube

#### Lec 1 - Introduction to Limits (HD)

Introduction to Limits (HD)

#### Lec 2 - Introduction to Limits

Limits can be used even when we know the value when we get there! Nobody said they are only for difficult functions.

#### Lec 3 - Limit Examples (part 1)

Limit Examples (part 1) Some limit exercises

#### Lec 4 - Limit Examples (part 2)

Limit Examples (part 2) More limit examples

#### Lec 5 - Limit Examples (part3)

Limit Examples (part3) More limit examples

#### Lec 6 - Limit Examples w/ brain malfunct ...

Limit Examples w/ brain malfunction on first prob (part 4) 3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8))

#### Lec 7 - Squeeze Theorem

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

#### Lec 8 - Proof: lim (sin x)/x

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

#### Lec 9 - More Limits

More Limits More limit examples

#### Lec 10 - Sequences and Series (part 1)

Sequences and Series (part 1) Introduction to the arithmetic and geometric series

#### Lec 11 - Sequences and series (part 2)

Sequences and series (part 2) Finding the sum of an infinite geometric series.

#### Lec 12 - Permutations

This lecture is provided by Khan Academy. Introduction to permutations

#### Lec 13 - Combinations

This is a lecture of Khan Academy. Introduction to combinations

#### Lec 14 - Binomial Theorem (part 1)

Binomial Theorem (part 1) Introduction to raising (a+b)^n

#### Lec 15 - Binomial Theorem (part 2)

Binomial Theorem (part 2) Binomial Theorem and Pascal's Triangle

#### Lec 16 - Binomial Theorem (part 3)

Binomial Theorem (part 3) Intuition behind why binomial expansion involves combinatorics

#### Lec 17 - Introduction to interest

This is a lecture of Khan Academy. What interest is. Simple versus compound interest.

#### Lec 18 - Interest (part 2)

This lecture is provided by Khan Academy. More on simple and compound interest

#### Lec 19 - Introduction to compound intere ...

This is a lecture of Khan Academy. Compounding interest multiple times a year.

#### Lec 20 - Compound Interest and e (part 2)

This is a lecture of Khan Academy. Compound Interest and e (part 2) Compounding 100% annual interest continuously over a year converges to e (2.71...)

#### Lec 21 - Compound Interest and e (part 3)

This is a lecture of Khan Academy. Compound Interest and e (part 3) Continuously compounding \$P in principal at an annual interest rate of r for a year ends up with a final payment of \$Pe^r

#### Lec 22 - Compound Interest and e (part 4)

This is a lecture of Khan Academy. Compound Interest and e (part 4) Continuously compounding for multiple years.

#### Lec 23 - Exponential Growth

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

#### Lec 24 - Polar Coordinates 1

This is a lecture of Khan Academy. Introduction to polar coordinates

#### Lec 25 - Polar Coordinates 2

This is a lecture of Khan Academy. Conversion from Cartesian to Polar Coordinates

#### Lec 26 - Polar Coordinates 3

This is a lecture of Khan Academy. Converting between Cartesian and Polar functions

#### Lec 27 - Parametric Equations 1

Parametric Equations 1 Introduction to parametric equations

#### Lec 28 - Parametric Equations 2

Parametric Equations 2 Eliminating the parameter

#### Lec 29 - Parametric Equations 3

Parametric Equations 3 Removing the parameter from a more interesting example

#### Lec 30 - Parametric Equations 4

Parametric Equations 4 Parametric Equations that "move" along the same path

#### Lec 31 - Introduction to Function Inverses

This is a lecture of Khan Academy. Introduction to Function Inverses

#### Lec 32 - Function Inverse Example 1

This is a lecture of Khan Academy. Function Inverse Example 1

#### Lec 33 - Function Inverses Example 2

This is a lecture of Khan Academy. Function Inverses Example 2

#### Lec 34 - Function Inverses Example 3

This is a lecture of Khan Academy. Function Inverses Example 3

#### Lec 35 - Basic Complex Analysis

Basic Complex Analysis Argand Diagram, magnitude, modulus, argument, exponential form

#### Lec 36 - Exponential form to find comple ...

Exponential form to find complex roots Using exponential form to find complex roots

#### Lec 37 - Complex Conjugates

Complex Conjugates Complex Conjugates

#### Lec 38 - Series Sum Example-Precalculus

Series Sum Example is shown in this video. 2010 IIT JEE Paper 1 Problem 54 Series Sum

#### Lec 39 - Complex Determinant Example

This is a lecture of Khan Academy. Complex Determinant Example 2010 IIT JEE Paper 1 Problem 53 Complex Determinant

#### Lec 40 - 2003 AIME II Problem 8

2003 AIME II Problem 8 Sequence from the product of 2 arithmetic sequences

#### Lec 41 - Logarithmic Scale

Logarithmic Scale Understanding how logarithmic scale is different from linear scale and why it could be useful

#### Lec 42 - Vi and Sal Explore How We Think ...

Vi and Sal Explore How We Think About Scale Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly

#### Lec 43 - Vi and Sal Talk About the Myste ...

Vi and Sal Talk About the Mysteries of Benford's Law Vi Hart visits Khan Academy and talks about Benford's Law with Sal

#### Lec 44 - Benford's Law Explanation (Sequ ...

Benford's Law Explanation (Sequel to Mysteries of Benford's Law) Vi and Sal talk through the intuition of Benford's law (part 2)

#### Precalculus

Source of these courses is khan
Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible.
khan  Website: http://www.dnatube.com/school/khan

#### khan

Videos are obtained from khan
COURSE NAME: Precalculus