This is your one stop shopping for the course Entry to Mathematics. Welcome, and I look forward to our time together.
Below are links to each class, the homework, and more. Please ask if you can't find anything..
Class Twenty: Confidence Interval, and what it means
Intro Question:
Concepts Covered:
Confidence Interval
p-values are how confident WE are
What about bivariate Data?
Correlation and Causation
Class Nineteen: p-values, or "Nothing is Ever Truly Known"
Intro Question:
Concepts Covered:
Measures of Central Tendency
Normal Curves
Confidence Interval
p-value
Class Eighteen: Sampling and Issues therein
Intro Question: Gombaud and His Gambling Issues
Concepts Covered:
Lottery Expected Value
Gambler's Fallacy
Sampling methods, and why what you did probably doesn't make sense
"Tending Towards the Mean"
Intro Question: Four Color Theorem
Concepts Covered:
Pascal's Triangle
What Probability REALLY means
Sample Space and Probability when Rolling Dice
Expected Value
Class Sixteen: Trig Functions.
Intro Question: Konigsberg Bridge
Concepts Covered:
Circular Functions -- Sine, Cosine, and Tangent
Using these to model the world
Class Fifteen and Sixteen: Law of Sine and Cosine.
Intro Question: Baseball (this may have been a mistake)
Concepts Covered:
Using Right Triangles to Give us Speed Vectors
Law of Sines (including proof)
Law of Cosines
Class Fourteen: Law of Sines and Cosines
Intro Question: Throwing a Football
Concepts Covered:
Right Triangles are cool and all, but what about ALL triangles
Proving Law of Sines
Proving Law of Cosines
Uses and word problems derived from there
Class Thirteen: Right Triangle Trig
Concepts Covered:
Similarity of Triangles
History of Sine, Cosine, Tangent
Using those to "solve" triangles
... NOTE: All classes below this line have been moved to "Pre Long Weekend" Link ...
Class Twelve: Patterns
Concepts Covered:
Summation Notation
Geometric Series
Arithmetic Series
Intro Question: Lots of Dice
Concepts Covered:
Exponential Growth and Decay
Use of Exponents and Where they are Applicable
The Right Model at the Right Time
Intro Question: Going over the three homework questions
Concepts Covered:
Parent Functions -- what are they?
How do all these functions work together?
Domain and Range of Each
Class Nine: Quadratic Questions
Intro Question: Checkerboard
Concepts Covered:
Answering Questions about Quadratics
Farmer John Rears his head again --> building a model
How do we graph Quadratics (what are the forms that matter?)
Class Eight: Domain, Range, Inverse Functions, Parent Functions
Intro Question: Bowling Balls
Concepts Covered:
Composition of Function from your Homework
What is a Domain? What is a range?
What types of functions do we know of (the parent functions)?
Quadratic Equation -- what does it help us model?
Class Seven: Function Notation
Intro Question: Three Glasses, Even Water.
Concepts Covered:
What and why is function notation a thing?
What happens when we combine functions?
What use are functions?
What's an inverse function?
Class Six: Linear Inequalities
Intro Question: 1 - 30 via 1, 2, 3, 4
Concepts Covered:
What is a linear inequality?
What is linear programming, and why do we do it?
Creating Systems of Equalities and Linear Programming Questions
Class Five: Systems of Equations and the Ways to Solve Them
Intro Question: Nim, cause we didn't get there on Monday
Concepts Covered:
What does it mean to 'solve' a system of equations
Exit Question: Nim
Concept Covered:
What does a line represent?
Three forms of a line and why they exist
Class Three: Order of Operations
Intro Question: Eight Coins
Concepts Covered:
Weird corner cases in mathematics (why we can't divide by zero, for example)
Literal Equations
What fractions really do
Intro Question: Mailboxes and Pranksters
Concepts Covered:
How do we currently group the numbers we know about ... and why?
Class One: Where numbers come from.
Intro Question: The Plight of Farmer John.
Concepts Covered:
Intro to the Course, (What It's All About)
Old ways of Counting
Sets Of Numbers we Currently Use
Homework: Link Here. Discussed in Class Two.