Notes for Homeworks 11 and 12

Notes for converting Celsius to Fahrenheit and vice versa

Notes for converting metric to customary and vice versa

 Changing a repeating decimal representation to a fraction in lowest terms

Roman numerals to Hindu-Arabic and vice versa
 

Notes for five British logicians

Notes on the lives of George Boole, Charles Dodgson, Charles Babbage, Countess Ada Lovelace and Augustus de Morgan

Notes for Homework 10

Notes for interest, CPI and inflation rates, and paying back loans

Notes for Homework 9

Notes for average (mean), median, mode, the five number summary, IQR and the simplest definition of an outlier

Notes for z-scores and the look-up tables associated with normally distributed sets


 

Notes for Homework 8

Notes for slope, the point-slope formula and the slope-intercept formula

Notes for coin problems
 
Notes for contingency tables and probabilities taken from contingency tables

Biographies of 20th Century computer scientists

A link to the stories of Von Neumann, Turing, Hopper, Dijkstra and Knuth

A link to a NASA webpage about Katherine Johnson
 

Notes for Homework 7

Notes on set theory and Venn diagrams

Notes on scales based on powers of 10 smaller than percent, like death rates counted per 100,000 population
 

Notes for Homework 6

Notes about triangles defined by three vertices

Notes about polygon interior angles sums and the regular angle for an n-sided polygon

Notes for Homework 5

Notes for classifying triangles by angles or by side lengths

Practice problems for the triangle inequality and Heron's Formula

 

Notes for Homework 4

Notes on bels/decibels and the Richter scale, two logarithmic scales

Notes on simplifying and approximating square roots

Notes for Homework 3

Notes for time given in decimal form

On Earth, a years is actually 365.2422 days. We make up the extra number by having a leap year every four years, with a few exceptions. How long is 0.2422 days in hours minutes and seconds?

Decimal days to hours, minutes and seconds:  To get the number of hours, we multiply 0.2422x24 = 5.8128 hours, we save the 5, then multiply the 0.8128 x 60 = 48.768, which means we now have 365 days, 5 hours, 48 minutes and some decimal part of a minute. 0.768x60 = 46.08 seconds, which means a year is 365 days, 5 hours, 48 minutes and 46.08 seconds.


A day on Saturn is 10.656 Earth hours. How do we change the decimal to hours, minutes and seconds?

Decimal hours to minutes and seconds: Multiply the decimal part by 60. In this case, .656 x 60 = 39.36 minutes. We save the 39 minutes and then multiply .36 x 60 = 21.6. This means the final answer is 10 hours, 39 minutes, 21.6 seconds.

Notes for scientific notation

Notes for Homework 2

Notes for rounding to positions and rounding to significant digits

Notes for rounding error

Notes for changing between decimal, binary and hexadecimal

Notes for the logical operators AND (^), OR (v) and NOT (~)

Notes for Homework 1

Notes for percent, decimal and fractions and notes for factorization

 Notes for adding and subtracting time
 

Links to the stories of Archimedes, Newton, Euler and Gauss

Click on this link to read the stories of four great mathematicians. The first quiz on Wednesday, August 22, will be fill in the blank.
 

Notes for Homework 12, due May 8

Notes for Roman numeral to Hindu-Arabic numeral conversion

Notes for repeating decimals to fractions

Notes for percent, decimals and fractions over 100
 

Notes for Homework 11a, due May 1

Notes on the metric system vs. customary

Changing Celsius to Fahrenheit

F = 9/5 C + 32

Changing Fahrenheit to Celsius

C = 5/9(F - 32)

Link to biographies of five British logicians

Link to the biographies of Babbage, Boole, de Morgan, Dodgson and Lovelace

Notes for Homework 10, due April 17

Notes for interest rates on investment, the Consumer Price Index and paying back loans
 

Notes for Homework 9, due April 10

Notes on mean, median and mode

Notes on the five number summary and outliers

Notes on z-scores, normal distribution and proportions

Notes for Homework 8, due March 28

Notes on determinants

A 2x2 matrix is an array of four numbers put in two rows and two columns, such as

| a c |
| b d |

The determinant of this matrix is ad - bc, the product of the main diagonal minus the product of the opposite diagonal. If you use Kramer's rule to solve a pair of simultaneous equations, you will need to know how to calculate determinants.

For example, let's consider the following set of equations.

3x - 2y = 7
2x + 4y = 12

As an augmented matrix , these equations become

|  3  -2  : 7 |
|  2   4  : 12|

Matrix_1 is

| 3 -2 |
| 2  4 |

The determinant is 3(4) - 2(-2) = 12 - -4 = 16
 

Matrix_x is

| 7 -2 |
| 12  4 |

The determinant is 7(4) - 12(-2) = 28 - -24 = 52
  Matrix_y is

| 3  7  |
| 2 12 |

The determinant is 3(12) - 2(7) = 36 - 14 = 22

From here, Kramer's rule then has x = 52/16 = 13/4 or 3 1/4. The value for y = 22/16 = 11/8 = 1 3/8
 
  Notes on solving simultaneous equations
 

Notes for Homework 7, due March 20

Notes for contingency tables

Notes for coin problems

Notes for slope, point-slope and slope-intercept
 

Notes for Homework 6, due March 13

Notes on rates other than percent

Notes on set theory and Venn diagrams
 

Link to biographies of Archimedes, Newton, Euler and Gauss.

Link to the biographies

Notes for Homework 5, due Feb. 27

Notes on area for a triangle defined by three points

Notes on the distance formula

Notes on interior angles of polygons and regular angles
 

Notes for Homework 4, due Feb. 20

Notes for classifying triangles by angles and by side lengths

Notes on creating isosceles triangles


Notes on Heron's Formula (lots of practice with answers in the comments)
 

Notes for Homework 3, Due Feb. 13

Notes on Richter scale and bels/decibels


Notes on simplifying and approximating square roots

Notes for Homework 2, due Feb. 5

Notes on adding and subtracting time, and notes on converting time

Notes on scientific notation
 

Notes for Homework 1, due Tues., Jan 30

Notes on rounding

Notes on binary, decimal and hexidecimal

Notes on the logical operators