Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
FINAL EXAM
NAME AND STUDENT NUMBER:
1.
2.
3.
4.
5.
6.
Write down all your work.
Calculators are allowed, but NOT NEEDED.
The exam is 3 hours.
This booklet contains 15 pages.
Maximum Possible Score = 70 (14 questions, 5 marks each)
Good luck and do your ve
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
1
MATH 101 Lab 1
For two curves = ( ) and = ( ) with ( )
between the curves is given by
y
f x
y
g x
Z a
b
( ) on an interval
g x
f x
( ) ; ( )dx
f x
g x
], the area
a b
:
In this lab we will look at Maple's commands for integration and what happens for
ge
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
1
MATH 101 Lab 4
In this lab we will draw curves de ned by parametric equations and polar coordinates
and nd areas and arc lengths. The length of an arc of a curve given by parametric
equations x = f (t), y = g(t), where
t
traces the curve once, is given
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
Math 101
Intermediate Algebra
Order of Operations
Chapter 1, Section 4
Exponents
An exponential expression is bn.
b is called the base and n is called the exponent.
bn means multiply b by itself n times.
Roots and Radicals
A radical expression is
.
is the
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
Solving Equations
Chapter 2, Section 1
Properties of Equality
For all real numbers a, b, c:
Reflexive Property
a=a
Symmetric Property
If a = b, then b = a
Transitive Property
If a = b and b = c, then a = c
Addition Property of Equality
If a = b, then a +
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
TERM TEST TWO
MATH 101, Winter 2000
Friday, March 3, 2000
NAME AND STUDENT NUMBER:
1. Write down all necessary work. Use the back side of the sheets, if needed.
2. Calculators are allowed, but not needed (and not recommended).
3. Maximum Possible Score =
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
TERM TEST ONE
MATH 101, Fall 1998
Friday, Oct. 9, 1998
NAME AND STUDENT NUMBER:
1. Write down all your work.
2. Calculators are allowed, but NOT NEEDED.
3. Maximum Possible Score = 50 ( ve questions, 10 marks each)
1
1. (a) Solve the equation
(b) Find
e2+
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
Math 101
Intermediate Algebra
Properties of and
Operations with Real
Numbers
Chapter 1, Section 3
For real numbers a and b:
Operation/Property
Rule
Additive Inverse
The additive inverse of a is a
Double Negative
Note
(a) = a
Absolute value is distance
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
MATH 101 Lab 5
In this lab we look at some of the tools that can be used for solving problems on sequences and series. We
know that a huge set of functions can be created by using the elementary functions xr , where r is a real
constant, all of the polyno
Integral Calculus with Applications to Physical Sciences and Engineering
MAT 101

Winter 2014
MATH 101 Lab 2
1
In this lab we will look at volumes of rotation. The introduction to the lab sets
up graphs of two surfaces of revolution around the xaxis. Question 2 repeats the
revolution around the yaxis.
Hand in a commented worksheet in lab class.