Statistics INTRO

College Calculus Links

LINKS to College Calculus
They are listed in reverse order of presentation:

new material April 10th on...
http://mcauleycalculus.blogspot.com/2017/04/new-material-april-10th-on.html

Latest Days
http://mcauleycalculus.blogspot.com/2017/02/latest-days.html

Slope Fields and VOLUME
http://mcauleycalculus.blogspot.com/2017/02/march-7.html

What area tells us
http://mcauleycalculus.blogspot.com/2017/02/march-6.html

Differential Equations
http://mcauleycalculus.blogspot.com/2017/02/march-5.html

area between two curves
http://mcauleycalculus.blogspot.com/2017/02/march-4.html

Definite Integrals
http://mcauleycalculus.blogspot.com/2017/02/definite-integrals.html

Approximate Area under a curve
http://mcauleycalculus.blogspot.com/2017/02/march-2.html

Finding C
http://mcauleycalculus.blogspot.com/2017/02/march1.html

Review for AP
http://mcauleycalculus.blogspot.com/2017/01/feb4.html

RIGHT Triangles to solve integrals
http://mcauleycalculus.blogspot.com/2017/01/feb3.html

Inverse Trig Integrals
http://mcauleycalculus.blogspot.com/2017/01/feb2.html

Trig Integrals
http://mcauleycalculus.blogspot.com/2017/01/feb1.html

Latest Homework
http://mcauleycalculus.blogspot.com/2016/11/blog-post_25.html

Calculus Formulas
http://mcauleycalculus.blogspot.com/2016/11/december-topic-9.html

RELATED RATES
http://mcauleycalculus.blogspot.com/2016/11/december-topic-8.html

Integrals Part 1
http://mcauleycalculus.blogspot.com/2016/11/integrals-part-1.html

Integrals Part 2
http://mcauleycalculus.blogspot.com/2016/11/integrals-part-2.html

Inverse Trig (with Ellipse Application to Medicine)
http://mcauleycalculus.blogspot.com/2016/11/inverse-trig-with-ellipse-application.html

e to the x and Natural Log Derivatives
http://mcauleycalculus.blogspot.com/2016/11/blog-post_16.html

The Mean Value Theorem
http://mcauleycalculus.blogspot.com/2016/11/the-mean-value-theorem.html

Newton Method
http://mcauleycalculus.blogspot.com/2016/11/december-topic-5.html

AP expectations
http://mcauleycalculus.blogspot.com/2016/11/december-topic-4.html

Continuity
http://mcauleycalculus.blogspot.com/2016/11/continuity.html

implicit derivatives and limit problems
http://mcauleycalculus.blogspot.com/2016/11/december-topic-2.html

2nd derivative Implicitly
http://mcauleycalculus.blogspot.com/2016/11/december-topic-1.html

First Limit Test
http://mcauleycalculus.blogspot.com/2016/11/first-limit-test.html

Implicit Derivatives - Day 1
http://mcauleycalculus.blogspot.com/2016/11/implicit-derivatives-nov-14th.html

max-min test
http://mcauleycalculus.blogspot.com/2016/11/max-min-test.html

Limits, Continuity, Asymptotes
http://mcauleycalculus.blogspot.com/2016/11/limits-continuity-asymptotes.html

Max. and Min.
http://mcauleycalculus.blogspot.com/2016/11/max-min-test.html

graphing calculator
http://mcauleycalculus.blogspot.com/2016/10/graphing-calculator.html

more trig normal and tangent lines
http://mcauleycalculus.blogspot.com/2016/10/more-trig-normal-and-tangent-lines.html

Trig derivative problems Oct. 21
http://mcauleycalculus.blogspot.com/2016/10/trig-derivative-problems-oct-21.html

sin x derivative
http://mcauleycalculus.blogspot.com/2016/10/sin-x-derivative.html

Max - Min Part 1
http://mcauleycalculus.blogspot.com/2016/10/max-min-and-continued-limits.html

Limit Intro Oct. 10th
http://mcauleycalculus.blogspot.com/2016/10/limit-intro-oct-10th.html

Trig review Sept. 30
http://mcauleycalculus.blogspot.com/2016/09/trig-review-sept-30.html

more with logs
http://mcauleycalculus.blogspot.com/2016/09/sept-28-more-with-logs.html

Sept. 26 exponential and logs
http://mcauleycalculus.blogspot.com/2016/09/sept-26-exponential-and-logs.html

First Test Sept. 15
http://mcauleycalculus.blogspot.com/2016/09/first-test-sept-15.html

derivative formulas
http://mcauleycalculus.blogspot.com/2016/09/derivative-formulas.html

days 9, 10 11
http://mcauleycalculus.blogspot.com/2016/08/days-9-10-11.html

days 7 and 8
http://mcauleycalculus.blogspot.com/2016/08/days-7-and-8.html

homework day 6
http://mcauleycalculus.blogspot.com/2016/08/homework-day-6.html

days 5 and 6
http://mcauleycalculus.blogspot.com/2016/08/days-5-and-6.html

days 3 and 4
http://mcauleycalculus.blogspot.com/2016/08/days-3-and-4.html

day 1 and 2
http://mcauleycalculus.blogspot.com/2016/08/day-1-and-2.html

limits
http://mcauleycalculus.blogspot.com/2016/08/limits.html

Max Min problems
http://mcauleycalculus.blogspot.com/2016/08/max-min-problems.html

Review for Calculus
http://mcauleycalculus.blogspot.com/2016/08/review-for-calculus.html

Calculus topics from other blogs
http://mcauleycalculus.blogspot.com/2016/08/calculus-topics-from-other-blogs.html

A Function is...
http://mcauleycalculus.blogspot.com/2016/08/a-function-is.html


THESE LINKS ARE TOPICS FROM MR. K's other BLOGS:

Math Comics
http://knepfle.com/mathcomics/

Partners of 22 degrees in the other quadrants  (with short video)
http://cck-high-school-math.blogspot.com/2016/04/inverse-trig-angle-partners.html

Math Comics
http://knepfle.com/mathcomics/

Factorials and Combinations (with short video)
http://cck-high-school-math.blogspot.com/2015/04/factorials-and-combinations.html

Finding Square Roots 50 years ago
http://cck-high-school-math.blogspot.com/2015/02/finding-square-roots-50-years-ago.html

Factorials and Combinations
http://cck-high-school-math.blogspot.com/2015/04/factorials-and-combinations.html

Solving Algebraic Eq. Examples
http://cck-high-school-math.blogspot.com/2015/02/solving-equations.html

Humorous quotes about Mathematics
http://cck-high-school-math.blogspot.com/2013/11/humorous-quotes-about-mathematics.html

How to solve Systems of Linear Equations
http://cck-high-school-math.blogspot.com/2012/11/nathan.html

THREE EQUATIONS - THREE UNKOWNS
http://cck-high-school-math.blogspot.com/2012/12/three-equations-three-unkowns.html

matrices and determinants
http://cck-high-school-math.blogspot.com/2013/01/matrices-4-3.html

Graphing Systems of Inequalities
http://cck-high-school-math.blogspot.com/2012/12/graphing-systems-of-inequalities.html

How to Factor - and use for solving Equations
http://mathasiseeit.blogspot.com/2012/12/new-posts.html

Linear Programming
http://cck-high-school-math.blogspot.com/2012/12/linear-programming.html

10 commandments for Algebra One finals:
http://mathematicsmisc.blogspot.com/2015/04/algebra-one-final.html

Three Reasons to simplify a Radical
http://math.knepfle.com/video_3_rad_rules1.html

Review Simultaneous Equations
http://mathematicsmisc.blogspot.com/2014/08/review-simultaneous-equations-begin.html

Algebra 2 Preparation
http://mathematicsmisc.blogspot.com/2014/08/mercy-hs-algebra-2-preparation.html

Equation of a Line - Parallel and Perpendicular Lines
http://mathematicsmisc.blogspot.com/2014/08/finding-equation-of-line-parallel-and.html

Evaluate Expressions with Negative Numbers
http://mathematicsmisc.blogspot.com/2015/01/evaluate-expressions-with-negative.html

PEMDAS
http://mathematicsmisc.blogspot.com/2015/01/simplify-arithmetic-expressions.html

Videos for teachers to enjoy:

Algebraic Fractions +-*/

Click on Picture
to ENLARGE...

Equations with FRACTIONS

Here are examples with Fractions in the Equations.

Look at #4 for logical steps to follow.

Usually by clicking on an image
you can see a LARGER VIEW.

 

***********************

Below are more simple

type equations

square roots 50 years ago

FINDING SQUARE ROOTS
WITHOUT TECHNOLOGY

What is a FUNCTION?

VIDEO of what g(5) MEANS ... Click Here

A FUNCTION is...

a "RULE" that explains what mathematical operations will be APPLIED to:

- an INPUT (an "X") to produce the OUTPUT (the "Y" value)

- "X" (the INDEPENDENT VARIABLE)

- a NUMBER from the DOMAIN

-  to get the VALUE for Y (the DEPENDENT VARIABLE) from a given "X" VALUE

the DOMAIN is the set of possible "X" values

the RANGE is the set of  "Y" values

use letters like "f" or "g" or "h" ... to represent a function

f can also be thought of as a MAPPING (Arrow diagram) 

showing how (CONNECTS) each

value from the DOMAIN is

matched to a PARTNER in the RANGE

f can also be pictured as a MACHINE that takes

a given INPUT and produce a SINGLE OUTPUT

using a UNIQUE RULE

"x" is an INPUT and

"y" or "f(x)" is the OUTPUT value

f(x) is read as

- f of x

- f operating on x

- f evaluated at x

- the value of f at x

- the image of x under f

An employee for ACME INDUSTRY earns $9 for each hour worked.

To calculate the EARNINGS for a certain individual we

"Multiply the NUMBER OF HOURS (x) by 9"

g(x) = 9 times x

g(x) = 9x

suppose the DOMAIN is {20,30,40}

then the RANGE will be {180, 270, 360}

g(20) = 9(20) = 180

etc.

If ACME INDUSTRY changes the pay rate to $360 for any

employee that works less than or equal to 40 hours in a given week.

When an employee works more than 40 hours they receive an

additional $10 for each hour over 40. This creates the need for a

special type of function called a PIECEWISE DEFINED FUNCTION.

Two different rules are needed. One rule for less than or equal to 40 hours

and a second rule for over 40 hours.

g(x) = 360  .....................  if   0< x <= 40

g(x) = 360 + 10(x-40)  .... if 40 < x

REPRESENTING A FUNCTION:

1) VERBALLY (using words)

2) ALGEBRAICALLY (using a formula ... f(x) = 9x   )

3) VISUALLY (use a GRAPH)

4) NUMERICALLY (by use of TABLE)

combinations and permutations

When doing Combinations or Permutations

one does not have to always use a

calculator. Consider reducing the

fractional answers.

misc. TRIG

How to find the partners

for 22 degrees.