**Notes on interest, compound interest, effective rates, half life and loans**

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Online notes for Math 15, Math for Liberal Arts taught in the Fall 2016 semester at Laney College by Prof. Hubbard.

## Sunday, November 27, 2016

## Friday, November 18, 2016

###
Notes for homework of Tuesday Thursday class due Nov. 22

**Notes on frequency tables and the five number summary**

**Notes on frequency tables, ***n* (length of list) and sum(x)

**Notes on the shared birthday problem**

**Notes on binomial distributions (on our homework, making free throws) **

**Notes on using the normal distribution system (***z*-scores and look-up tables) to find the percentage between two *z*-score values **(on our homework, males listed at a certain height, on the website, females listed at a certain height. Only the ***mu* and *sigma* are different.)
## 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
## Tuesday, November 1, 2016

## Sunday, October 30, 2016

## Sunday, October 23, 2016

## Friday, October 14, 2016

## Thursday, October 6, 2016

## Tuesday, September 27, 2016

## Friday, September 23, 2016

## Thursday, September 15, 2016

## Wednesday, September 7, 2016

## Monday, August 29, 2016

## 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

###
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

**Holidays**

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)
## Tuesday, July 26, 2016

## Saturday, July 23, 2016

## Tuesday, July 19, 2016

## Friday, July 15, 2016

## Wednesday, July 13, 2016

## Saturday, July 9, 2016

## Wednesday, July 6, 2016

## Tuesday, July 5, 2016

## Wednesday, June 29, 2016

## Tuesday, June 28, 2016

## Sunday, June 26, 2016

## Tuesday, June 21, 2016

## Monday, June 20, 2016

## Tuesday, May 10, 2016

## Sunday, May 1, 2016

###
Notes for homework due May 1

**Notes on Five Number Summary and the method of finding outliers. **

**Normally distributed sets: ***z*-scores associated with proportions and vice versa.

The last part of the homework wasn't covered in class, but it will be discussed on Monday.

## Sunday, April 24, 2016

## 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 (*x*1, *y*1) and (*x*2, *y*2)

What it means when the slope is undefined: the formula*x* = *k*, some constant value

Point slope formula:*y* – *y*1 = *m*(*x* – *x*1)

*x* and *y* will remain variables
*m*, *x*1 and *y*1 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
## Saturday, April 9, 2016

## Saturday, April 2, 2016

## Thursday, March 24, 2016

###
Notes on Triangles

Defined by angles

Defined by side lengths

Defined by three points on the plane

**Classification of triangles based on the three angles. Because the sum must be 180°, only two of the three are needed to find the third. **

**Practice problems for area and classification based on three side lengths and the Triangle Inequality, which determines of three lengths can be the sides of a triangle.**

**Practice problems for area and classification of triangles based on three points in the plane.**
## Sunday, March 13, 2016

###
Notes for March 7 and 9

**Notes for interest on savings, half life computation and paying back loans.**

The syllabus posts at the bottom can be ignored.
## Sunday, February 28, 2016

## Saturday, February 20, 2016

###
Notes on Roman numerals and practical logarithms

**A link to Roman numeral posts.**

**Links to posts on practical logarithms.**

**Practice Set #1.**

**Practice Set #2.**
## Saturday, February 13, 2016

## Wednesday, February 3, 2016

## Wednesday, January 27, 2016

###
Links to binary, decimal and hexadecimal conversion

Links to the logical operators AND (^) OR (v) and NOT(~)

## Monday, January 25, 2016

## Special posts

## Blog Archive

## About Me

## Labels

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.

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.

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

Midterm 1: Wed., Oct. 5

Midterm 2: Wed., Nov. 9

Comprehensive Final: Wed, Dec. 14

Midterm 1: Thurs., Sept. 29

Midterm 2: Thurs, Nov. 3

Comprehensive Final: Tues., Dec. 13 (normal class period)

The last part of the homework wasn't covered in class, but it will be discussed on Monday.

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.

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

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)

Three points on the plane where none is (0, 0)

Finding the slope (

What it means when the slope is undefined: the formula

Point slope formula:

Slope-intercept:

Tilings of the plane

Interior angle sum for a polygon with

Regular angle sum for a polygon with

Coin problems

Defined by angles

Defined by side lengths

Defined by three points on the plane

The syllabus posts at the bottom can be ignored.

Links to the logical operators AND (^) OR (v) and NOT(~)

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- 100 coins
- all factors
- angles and sides
- area of a triangle
- binary
- biographies
- bitwise operators
- classification of three vertex triangle
- classification of triangles
- coin problems
- compound interest
- computer science
- conditional probability
- Consumer Price Index
- contingency tables
- corrections
- decibel and bel scale
- decimal
- decimals
- distance
- divisibility
- effective interest rates
- Finding the square root of any number
- five number summary
- fractions
- geometry
- half life
- Heron's formula
- hexadecimal
- homework answers
- Important class dates Fall 2016
- inclusion-exclusion rule
- interest and loans
- linear equations
- logarithms
- logic
- Math history.
- metric system
- numbers and representation
- old school
- order of operations
- outliers
- overflow
- percents
- Polish notation
- powers of 10
- practice
- practice problems
- prime factorization
- prime numbers
- probability
- probability based on contingency tables
- Pythagorean theorem
- regular polygons
- repeating decimals and fractions
- Richter scale
- Roman numerals
- rounding
- scales based on powers of 10
- scientific notation
- scientific notation notes
- set theory
- significant digits
- simultaneous equations
- slope
- square roots
- statistics
- syllabus
- three dimensional geometry
- tilings of the plane
- time
- triangle inequality
- truth tables.
- underflow
- Venn diagrams
- weights and measures
- z-scores