**Notes on Hexadecimal to Binary**

**Notes on logical operators - AND (^) OR (v) NOT (~) IMPLIES (=>)**

**Notes of Set Theory**

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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.

## 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)
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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)

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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