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
 

Notes for Homework 13, due, Mon., Dec 4

Notes on Roman numerals

Notes on repeating decimals to fractions and vice versa

Notes on decimals, fractions and percents
 

Notes for Homework 12, due Mon., Nov 27

Notes on the metric system

Changing Celsius to Fahrenheit

F = 9/5 C + 32

Changing Fahrenheit to Celsius

C = 5/9(F - 32)




 

Notes for Homework 11, due Nov. 13

Notes for CPI table, interest on savings, effective interest rate and interest on loans