Thursday, November 10, 2016

Notes for Homework 10

I made a mistake labeling this homework assignment, calling it Homework 11. It is actually Homework 10 for the Tuesday-Thursday class.

These notes are from my statistics blog. The links contain a lot of information that we won't get to in Math for Liberal Arts. You should be able to search in your web browser for words like "mean", "median" and "mode", etc.

Notes on mean, median and mode

Notes on the five summary and outliers

Notes on raw scores to z-scores to proportions, also percentiles to z-scores to raw scores

Wednesday, August 24, 2016

Notes for Homework 1

Notes on rounding and rounding error with fractions.

Notes on binary and decimal representation of numbers.

Notes on rounding to significant digits. 

The link to rounding to significant digits deals with rounding a number great than 1. For example 2^16 = 65,536.

65,536 rounded to one significant digit = 70,000

65,536 rounded to two significant digits = 66,000
65,536 rounded to three significant digits = 65,500

Let's consider rounding a number less than 1.

2^(-16) = 0.000015258789...

If we were asked to round this to the nearest thousandth, we would get 0.000. It's never a good idea to round a number that isn't zero to zero. Doing this means we aren't thinking at the right scale. Rounding to significant digits ensures we will never round a non-zero number to zero.

0.000015258789... rounded to one significant digit = 0.00002
0.000015258789... rounded to two significant digits = 0.000015
0.000015258789... rounded to three significant digits = 0.0000153

In most cases except scientific papers, rounding to three significant digits is considered sufficient.

Monday, August 22, 2016

Link to the stories of the four famous mathematicians

Short biographies of Archimedes, Newton, Euler and Gauss.

Important dates for Fall 2016

Add and drop dates
Last day to add: Sunday, September 4
Last day to drop class without a "W": Sunday, September 4
Last date to drop class with a "W": Friday, November 8

Labor Day: Monday, September 5
Thanksgiving: Thursday, November 24

Test dates for Monday-Wednesday class
Midterm 1: Wed., Oct. 5
Midterm 2: Wed., Nov. 9
Comprehensive Final: Wed, Dec. 14 8:00-10:00 am (note time change)

Test dates for Tuesday-Thursday class
Midterm 1: Thurs., Sept. 29
Midterm 2: Thurs, Nov. 3
Comprehensive Final: Tues., Dec. 13 (normal class period)

Monday, April 11, 2016

Topics for second midterm

The second midterm will have a take-home section and an in-class section. Some topics may appear in both parts. You are allowed a page of notes, front and back of a regular 8.5" x 11" piece of paper.

Homework 6 
 Interest rates and compounding
Half-life of isotopes
Paying back loans: Amount over life of loan
Playing back loans: Amount per month
Maximum amount you can get as a loan given monthly payment, interest rate and length of the loan

Homework 7
Triangles defined by angles
Classification system #1: Largest angle – obtuse, right or acute
Classification system #2: Relations between angles – scalene, isosceles, or equilateral
Triangles defined by side lengths
The triangle inequality
Both classifications by side lengths: Variations on the Pythagorean Theorem
Triangles defined by three points on the plane, one of the points (0, 0)
Distance between points
Both classifications by three points (distance is key for both)

Homework 8
Three points on the plane where none is (0, 0)
Finding the slope (m) between two points (x1, y1) and (x2, y2)
What it means when the slope is undefined: the formula x = k, some constant value
Point slope formula: yy1 = m(xx1)
x and y will remain variables m, x1 and y1 will become constants
Slope-intercept: y = mx + b

Homework 9
Tilings of the plane
Interior angle sum for a polygon with n sides (n-gon): sum = 180(n – 2)°
Regular angle sum for a polygon with n sides (n-gon): = 180(n – 2)°/n = (180–360/n
Coin problems