Quadratic Functions

Here are important notes on second degree functions:

The three forms of a quadratic function:
http://www.youtube.com/watch?v=4CtejPcjL_w

How to convert from one form to another:
1) http://www.youtube.com/watch?v=hr-iYBDdSs0
2) http://www.youtube.com/watch?v=mb2pKJ4GrJ4

Finding the zeros:
http://www.youtube.com/watch?v=NO4Ifhh-jUY

Finding the variation:
http://www.youtube.com/watch?v=W4QlVV_PT7s

Finding the sign:
http://www.youtube.com/watch?v=1EKjtrwyAQs

finding the Y-intercept:
http://www.youtube.com/watch?v=dE8YZ_qttUQ

Finding the Domain and Range:

566 Assignment 1 term 2

Pg 71 # 6, 7, 8
Pg 72 # 9, 10, 11
Pg 80 all
Pg 83 to 84 all

Math 3000 pg 75 # 18

Composition of functions:
http://www.youtube.com/watch?v=2PGdRyIZ7Uc

Inverse functions

inverse function of a first degree function
inverse function of a second degree function

more soon...

Mr. Altarac's method of completing the square

1) Her is what I do when the unknown is the parameter in front of the x squared term:
http://www.youtube.com/watch?v=mKj7LPbF7Bo

2) Here is what I do when the unknown is the parameter in front of the x term:
http://www.youtube.com/watch?v=D_xz7qPFglM


3) Here is what I do when the unknown is the last parameter:
http://www.youtube.com/watch?v=RwDgQN_9wOM

Introduction To Functions

Here are the class notes on chapter 3.1:
http://prezi.com/eqqt3f71f37a/introduction-to-functions/

Long Stencil Solutions 506

 

Classwork stencil + solutions

Classwork stencil

Solutions to Test 566 exponents radicals vectors

Here are the solutions:

 

Math 3000 pg. 17 # 5

#5 a)
http://www.youtube.com/watch?v=_nGVYOijRIA

#5 b)
http://www.youtube.com/watch?v=pCQS9f8lv7E

Extra Practice

Objective 5.2: Exponential expressions
and
Objective 7.2: Division of polynomials

Here are some sample questions done for you:

Objective 5.2:
#2 d)
http://www.youtube.com/watch?v=ecXv-yOSGFc

#3 d)
http://www.youtube.com/watch?v=N0PpGY-yQ5A


Objective 7.2:
#1 c)
http://www.youtube.com/watch?v=mrSZG9pyLUk

#1 e)
http://www.youtube.com/watch?v=5CLwbTwl8GE

#4 a)
http://www.youtube.com/watch?v=bvc0ERoV80I

Solving exponential equations

some examples:
1) http://www.youtube.com/watch?v=Z3eqZoD3dqI
2) http://www.youtube.com/watch?v=0thK_mFAUJU
3) http://www.youtube.com/watch?v=wKsB2y6gMYU

Notes as seen in class:
http://prezi.com/mfn1uulffxb0/solving-exponential-equations/
or
http://www.youtube.com/watch?v=724DUOsJmzI

Radicals and Restrictions

Restrictions Part 1:
http://www.youtube.com/watch?v=dwKy5xn9QkQ

Restrictions Part 2:
http://www.youtube.com/watch?v=M61iZiby7J4

Translating into Inequalities Test Corrections

Click here for corrections of numbers 1 - 11:

http://www.youtube.com/watch?v=Rmsw22twGvk

Factoring a Polynomial

Factoring a Polynomial part1:
http://www.youtube.com/watch?v=uZZqCZX4DQs

Factoring a Polynomial part2: Difference of two squares and perfect square trinomial method.
http://www.youtube.com/watch?v=Zh_QJNZfhbI

Factoring a Polynomial part3: My underground technique.
http://www.youtube.com/watch?v=aBzge9h44Ws

 Factoring part 4: Method of Completing the Square.
http://www.youtube.com/watch?v=3UZPyhnTivg

Method of completing the square Example:
http://www.youtube.com/watch?v=V5dSqbesf5I

Exponent Homework Help

Here I will post solutions to some of the numbers in your homework assignment. Feel free to ask me for help on any number...




2)
http://www.youtube.com/watch?v=NV4X_VoI8tU
6)
http://www.youtube.com/watch?v=SvUNaMd31iI

8)
http://www.youtube.com/watch?v=rKJ_kEhblmQ

31)
http://youtu.be/MN_Ve30jlOw?hd=1

32)
http://www.youtube.com/watch?v=U2Aj3zWED1o

38)
http://www.youtube.com/watch?v=ttZTKuaLZn0

Class Notes For Thursday - Radicals

Brush up on your laws of exponents here because we will use them:
http://lshs-math.blogspot.com/2011/10/laws-of-exponents.html

N-th Root of a real number:http://www.youtube.com/watch?v=5AzZ_H7Gb-s

Powers with rational exponents:http://www.youtube.com/watch?v=S30fQ2Y-mxA

Radicals:http://www.youtube.com/watch?v=Lh5H6CpNVL8

Reducing the Radicand:http://www.youtube.com/watch?v=9zNk6hu04t4

Rationalizing the denominator part 1:http://www.youtube.com/watch?v=-FgzmZL3Ts8
Rationalizing the denominator part 2:http://www.youtube.com/watch?v=rpQ1LrxcQMQ

Examples of Rationalizing the denominator:
http://www.youtube.com/watch?v=vID2mKZjAzk

Laws of Exponents

Law of exponents part 1:
http://www.youtube.com/watch?v=QKinWbcrPSE


Law of exponents part 2:
http://www.youtube.com/watch?v=Rz1Vze2cbTQ

Converting periodic numbers to fractions

http://www.youtube.com/watch?v=a6rlNrsvZys

Set Notation

Here are some symbols you should be familiar with if you're going to do set theory:

http://www.youtube.com/watch?v=59-z_vmjsCo

Intro To Set Theory

Here is a little video about sets:

http://www.youtube.com/watch?v=tAXpCh9iTFA

Math 566 Quiz 4 corrections

#1 http://www.youtube.com/watch?v=HHJQBF67kV8

#2 http://www.youtube.com/watch?v=n6BkW72BGp8

#3 http://www.youtube.com/watch?v=_ykYiGOtCwU

#4 http://www.youtube.com/watch?v=vI1tqgN61Fc

#5 http://www.youtube.com/watch?v=hif7PRjBBTc

Review for Vectors Test

I will post links here to videos that should help you to review for the upcoming vectors test. Although this is not everything we've studied, it's a good starting point...

Part1:
http://www.youtube.com/watch?v=PNyeqJahIbk

Part2:
http://www.youtube.com/watch?v=aKC2hhgWygI

The following links are to videos of select problems from the evaluation section at the end of the vectors chapter in the 566 math 3000 textbook:

PG 316 #6 e) http://www.youtube.com/watch?v=NxfLI5CjNzc

PG 317 #11 http://www.youtube.com/watch?v=lufj7hMjrtc

PG 317 #16 a) http://www.youtube.com/watch?v=KH2qFIxB4DU

PG 318 #19 http://www.youtube.com/watch?v=o9LQNWHNvLA

Pg318 #20 http://www.youtube.com/watch?v=pjTI58ieUOg

Math 506 Quiz 4 solutions

1. a) and b) http://www.youtube.com/watch?v=i-aB1GNBlIo


2. a) b) and c) http://www.youtube.com/watch?v=UTAFEBqpOTA

Midpoint And Point of Division

Here is a brief explanation of the midpoint and point of division formulas

if you would like more explanation or examples please let me know...

http://www.youtube.com/watch?v=mPVD519TSDU

Requests

When you make a request, or post a comment, please let me know if you're in math 506 or 566 so that I can help you better...
Thanks,

Mr. A

Math 566 quiz 2 solutions

I will post a few links here to youtube videos of me solving some of the questions on this quiz. If you want me to solve a question that i did not yet do, please comment...

2) http://www.youtube.com/watch?v=1Yq7XAS3vw0

3) a. http://www.youtube.com/watch?v=khOFp8ItD-s

3) b. http://www.youtube.com/watch?v=a9cHPudDNFc

3) c. http://www.youtube.com/watch?v=-9neq9OYxMI

3) d. http://www.youtube.com/watch?v=qEanejYB4VI

4) a. http://www.youtube.com/watch?v=sXV1uemeY6Y

4) b. and c. http://www.youtube.com/watch?v=JIv7qUB5mZQ

Math 506 answer to #2 c) on Quiz 3

math 506

finding the missing component of a vector using the scalar product....

http://www.youtube.com/watch?v=z2_K5mMs5s4

Math 3000 Pg. 308 # 11 (f)

for Math 506 students

http://www.youtube.com/watch?v=ivlANGbPRI4

Visions pg 60 # 9

for Math 566 students

http://www.youtube.com/watch?v=vWqTOL1qQu4

Using the scalar product to find the angle between 2 vectors

http://www.youtube.com/watch?v=QteVxQTXz7c

Boat Problem Math 3000 (506)

http://www.youtube.com/watch?v=h33O-V46lto

Unit Vectors

http://www.youtube.com/watch?v=G-gASQ3AgI0

Orthogonal Projection

I had a little bit of trouble with my microphone, but I hope this helps anyway...

http://www.youtube.com/watch?v=glgKfBIO5xA

Linear Combinations

http://www.youtube.com/watch?v=AvQeQxS-kYQ

The Cosine Law Extra

Here is a video of me using the cosine law:

http://www.youtube.com/watch?v=EXha0JjrLLI

The Cosine Law

In case you forgot it, here is a refresher on the cosine law...

http://prezi.com/ofe2ikun249x/cosine-law/

Requests

Please write in the comments any requests of topics you would like me to cover, or any questions you would like me to answer.

Cheers,

Mr. Altarac

Vectors: Perpendicular Test

http://prezi.com/mvkk-q6focuv/vectors-orthogonal-test/

Vectors: Chasles Relation

http://prezi.com/bw57wuwr8mc8/vectors-chasles-relations/

Vectors: Scalar Product (dot product)

http://prezi.com/mztqjs8fkw7i/vectors-scalar-product/

Vector Addition and Subtraction

http://prezi.com/emonrirfvaji/vectors-algebraic-approach-additions-and-subtractions/

Vectors: Algebraic Approach Extra

http://prezi.com/l6fjw4ge3dui/algebraic-approach-to-vectors-extra/

Intro to Algebraic Approach to Vectors

http://prezi.com/aysfm8bayfsb/algebraic-approach-to-vectors/

Intro to Geometric Approach to Vectors

http://prezi.com/7sc-huvlorsl/vectors/

Some Fun...

Welcome

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