Victoria Holzner
Calculus 3 Joe White
Fall Quarter 2015
Math 163 Project: The Fly
Part I:
For the first half of Math 163 Calculus 3 series, and solving series is the major topic
discussed during class. In order to understand what a series is, a dictionary
Victoria Holzner
Casey Joehnk
Jarrad Stone
Calculus 3 Joe White
Project 2
Driving on a Curved Road
Calculus 3 has a strong emphasis in introducing new strategies of using vectors in mathematics.
Vectors, with the right equations or strategy, can be used t
Olympic College Topic 18 Complex Numbers
Topic 18 Complex Numbers.
Consider the following quadratic equation x2 + 1 = 0
If we try to solve it we get the following situation:x2 + 1 =
x2 =
x=
0
1
Subtracting 1 from both sides
Taking the square root of both
Olympic College Topic 19 Quadratics
Topic 19 Quadratics
1.Introduction to quadratics
Definition:
A quadratic expression is an algebraic expression that contains only positive
whole number powers of x with the greatest power being 2.
So for example, 2x2 +
Chapter 1.4 Circles
This Chapter deals with the equations of circles and including the following.
A.
B.
C.
D.
Finding the midpoint of two points.
Finding the distance between two points.
Finding the Formula of a circle center the origin (0,0)
Finding the
Project 1 Math 141 Project 1 Winter 2014
Project 1 - (50 points)
Due Wednesday 15th January
Section 1: Multiple Choice Questions
Students Name :_
1.
The expression 3x2 10x + 3 when factored fully is:A. (3x 1)(x 3)
2.
The expression
B. (3x 1)(x + 3)
C. (3x
Project 1 Math 141 Project 1 Winter 2014
Project 1 - (50 points)
Due Wednesday 15th January
Section 1: Multiple Choice Questions
Students Name :_
1.
The expression 3x2 10x + 3 when factored fully is:A. (3x 1)(x 3)
2.
The expression
B. (3x 1)(x + 3)
C. (3x
Math 141 Test 1 Solutions Winter 2014
Math 141 - Test 1
Solutions
1.(a)
Find the Centre and radius of the following circle (x 1)2 + (y + 2)2
radius =
Center = (1, 2)
1.(b)
=
100
= 10
What is the equation of a circle that passes through the origin (0,0) a
Using the Graphing Calculator Project 1
Due Wednesday 12th February
(70 points)
Students Name:_
1.
Use your graphing Calculator to find the following, give your answers as decimals
rounded off to 2 decimal places. Remember to use brackets in appropriate p
A9. Introduction to Interval Notation and Solving Inequalities.
There are 4 main types of intervals they are as follows.
x
x
2 < x
x < 3 or
>2
<3
<4
x >2
all real numbers x that are greater than 2
all real numbers x that are less than 3
all real numbers x
Math 141 Take-Home Test 1
(30 points )
Due on Monday 27th January
The following test is a take home test; it is designed to be a accurate representation of your knowledge. In
order to achieve this the test must be completed in a fair and honest manner, so
Olympic College Quadratics
Quadratics
1.Introduction to quadratics
Definition:
A quadratic expression is an algebraic expression that contains only positive
whole number powers of x with the greatest power being 2.
So for example, 2x2 + 5x 5
x2 + 7x
3y2 7
Math 151 Project 1 (Worth 50 points)
Due Wednesday 15th January
This project will test your knowledge and skills in Algebra and Trig that you will need to be
successful in Calculus I. You may use any resources that you wish to complete this project.
I wan
Math 151
Calculus I - Test 1
Students Name:_
1.
The distance travelled by a ball rolling down a sloping ramp was recorded in the table below.
Time t
(sec)
Distance S
in m
0
1
2
3
4
5
0
5
15
35
65
105
(a) What is the average velocity from 1 to 2 seconds?
(
Math 151 Calculus I Winter 2014
Math 151 Test 1 (Take home)
Due Monday 27th January
The following test is a take home test; it is designed to be a accurate representation of your knowledge. In
order to achieve this the test must be completed in a fair and
`Math 151 Project 1 (Worth 50 points)
Due Wednesday 15th January
This project will test your knowledge and skills in Algebra and Trig that you will need to be
successful in Calculus I. You may use any resources that you wish to complete this project.
I wa
Olympic College Topic 16 Radicals
Topic 16 - Radicals
1.
Definition:
Definition of a Radicals
In Mathematics an efficient way of representing repeated multiplication is by using
the notation an , such terms are called exponentials where a is called the ba
Math 151 Project 2 (70 points)
Due Thursday 16th of May
Instructions:
Each student must present their own answers the top of your project should contain as the front
cover your name Math 151 Project 2 , date of completion and my name.
The second and subse
Olympic College Topic 17 Changing The Subject Of A Formula
Topic 17 Changing The Subject of a Formula
Definition: When you write a formula like:
1.
2.
3.
A
V
E
=
=
=
Lb
r2h
mc2
A is called the subject of the formula.
V is called the subject of the formul
Math 151 Calculus I Introduction
Introduction To Calculus
The Tangent Line Problem: The origins of Calculus started from very humble
beginnings, it began by trying to solve the problem of how do you find the exact slope of the
tangent line to a curve at a
Olympic College Topic 15 Solving System of Linear Equations
Topic 15 Solving System of Linear Equations
A Linear Equation is an equation that contains two variables, typically x and
y that when they are graphed on a cartesian grid make a straight line.
Th
Olympic College Topic 14 Funcions
Topic 14 Functions
Definition: A function is a rule or relationship which is given in terms of an algebraic
expression usually involving the variable x, where for each value of the variable x there is only one
value of th
Math 142 Project 1 Winter 2014
Math 142 Project 1 (50 points)
Due Wednesday 15th January
Students Name :_
Section I: Multiple Choice Questions
1.
Evaluate f(3) for the function f(x) =
A0
2.
B. y = x2 + x
C. y =
1
x2
D y = x3
The average rate of change of
Olympic College - Topic 7 Graphing a Linear Equation
Topic 7 Graphing a Linear Equation
1. The Linear Equation
Definition: A linear equation is one of the form y = mx + b, for example y = 2x 5, where x
represents the x coordinate and y the y coordinate. T
Olympic College - Topic 8 Applications of a Linear Equation
Topic 8 Applications of a Linear Equation
There are a number of practical problems that involve using linear equations. These applications
are varied and some of the most common forms are given b
Olympic College - Topic 6 Cartesian Coordinates and Slopes
Topic 6 Cartesian Coordinates and Slopes
1. Cartesian Coordinate System
Definition: The Cartesian Coordinate System way of representing the position of a point in
two dimensional space. It is cons
Olympic College - Topic 5 Ratio and Proportions
Topic 5 Ratio and Proportions
1. Ratio
Definition: A ratio is a comparison of two numbers it can be written in three major forms.
For example, 5 to 7 also as 5:7 and as .
A ratio can be simplified in a simil
Math 142 Test 1 Solutions Winter 2014
Math 142 Test1 Solutions
1. Fill in the missing three coordinates on the Unit Circle drawn below
2.(a)
Convert 4400 to Radians in the range 0 to
4400 = 4400 3600 = 800
2.(b)
Convert
radians
, expressed in its simplest
Olympic College Topic 3 Applications Using Linear Expressions
Topic 3 Applications Using Linear Expressions
Introduction:
In this section we will look at how to take a word problem written in English and to translate it
into a linear equation that will th
Olympic College - Topic 4 Formula
Topic 4 Formula
Introduction:
In many situations in science and business we use formulas. these formula are essentially just an
algebraic expression where the variables used have very specific meanings.
In order to evalua