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