Math 101, Spring 2009
Assignment 1
Due at the beginning of the class, January 21st, 2009.
No late assignments will be considered.
1. Find the volume of the solid of revolution obtained by rotating the region bounded by
the curves y = 1 x2 and y = 4 4x2 ar
UNIVERSITY OF VICTORIA
MIDTERM 3, MATH 101, SECTIONS ADS/A04 MARCH 21, 2011
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . u . . . u . u . u g a n
Name (Last, First)
Student #
Fill out your name and student number on the top
January 2011
.
LastName, FirstName, Section #
.
Student #
Math 101 Assignment 2 (All Sections)
DUE: January 18/21, at start of lecture/tutorial. See your sections course outlines for the
details. Late assignments will not be accepted.
1. The density of a
January 2011
.
LastName, FirstName
.
Student #
Math 101 Assignment 1 (All Sections)
DUE: Next week, January 13/14, at start of lecture/tutorial. See your sections course outlines for the details. Late assignments will not be accepted.
Part I: Review of Ma
UNIVERSITY OF VICTORIA
EXAMINATIONS December 2010
MATHEMATICS 101, SECTIONS [A01]-[A02]
Name:
Student ID:
TO BE ANSWERED ON THE PAPER AND ON N.C.S SHEETS
Instructors:
[A01 CRN 14245] Dr. Edward Moore
[A02 CRN 14246] Dr. Ian Ross
Section:
Duration: 3 hours
Math 101, Final Examination, formula to remember
1. Trigonometry
sin2 x + cos2 x = 1;
cos(2x) = cos2 sin2 x = 1 2 sin2 x = 2 cos2 x 1;
tan2 x + 1 = sec2 x;
sin(2x) = 2 sin x cos x;
cos2 x =
1 + cos(2x)
;
2
sin2 x =
1 cos(2x)
;
2
cosh x =
ex + ex
;
2
sinh
Topics for today
Dierential equations
What is a dierential equation?
Denition
An equation containing the derivatives of one or more dependent
variables with respect to one or more independent variables is said
to be a dierential equation.
Examples
dx
= gt
Dierential equations: word problems
Section 8.3, #31
Zembla had a population of 1.5 million in 1990. Assume that this
countrys population is growing continuously at a 4% annual rate
and that Zembla absorbs 50,000 newcomers per year. What will its
populati
Topics for today
COMPLEX NUMBERS!
What are complex numbers?
i=
1
Denition
A complex number z is dened as
z = a + bi
where a and b are real numbers and i = 1. Here, a is called
the real part of z and b the imaginary part. We write
a = Re z
b = Im z
Additio
Topics for today
Parametric curves
Ways to represent curves
Cartesian coordinates
(x, y ) :
y = f (x)
Cartesian coordinates (implicit)
(x, y ) :
F (x, y ) = 0
Polar coordinates
(r , ) :
r = f ()
Parameteric curves: the basic idea
Denition
A parametric cur
MATHEMATICS 101 [A05]
CLASS TEST 1
Jan 2011
Instructor: Adriana Wise
Name:
Student No:
Time: 50 min [2]
1. Find the total distance traveled between t = 1 and t = 1 by a particle moving with
velocity function 12 = cos 7rt .
D)3 E)4
A)0 B)1C)2
March 2011
.
LastName, FirstName, Section #
.
Student #
Math 101 Assignment 8 (All Sections)
DUE: March 29/30, at start of lecture/tutorial. See your sections course outlines for the
details. Late assignments will not be accepted.
1. (a) Sketch the graph
March 2011
.
LastName, FirstName, Section #
.
Student #
Math 101 Assignment 7 (All Sections)
DUE: March 15/18, at start of lecture/tutorial. See your sections course outlines for the
details. Late assignments will not be accepted.
1. Find the interval of
March 2011
.
LastName, FirstName, Section #
.
Student #
Math 101 Assignment 6 (All Sections)
DUE: March 08/11, at start of lecture/tutorial. See your sections course outlines for the
details. Late assignments will not be accepted.
1. Verify, using the Squ
February 2011
.
LastName, FirstName, Section #
.
Student #
Math 101 Assignment 5 (All Sections)
DUE: February 15/18, at start of lecture/tutorial. See your sections course outlines for the
details. Late assignments will not be accepted.
0.6
1. Evaluate
0
February 2011
.
LastName, FirstName, Section #
.
Student #
Math 101 Assignment 4 (All Sections)
DUE: February 8/11, at start of lecture/tutorial. See your sections course outlines for the
details. Late assignments will not be accepted.
1. Find
e2x cos 3x
Spring 2011
.
LastName, FirstName, Section
.
Student #
Math 101 Assignment 3 (All Sections)
DUE: February 01/04, at start of lecture/tutorial. See your sections course outlines for the
details. Late assignments will not be accepted.
1. Find
log2 x dx
2. F
Topics for today
More on dierentiation and parametric curves
Integration and parametric curves
Dierentiation and parametric curves
x = f (t)
y = g (t)
First derivative
dy
y
=
dx
x
Second derivative
d 2y
x y x y
=
2
dx
(x )3
Dierentiation example
x = cos3
MATH 101
Calculus II
Section A02
Instructor: Ian Ross
(iross@uvic.ca)
Who am I?
Ian Ross
iross@uvic.ca
Who am I?
Ian
iross@uvic.ca
Who am I?
Dr. Ross
iross@uvic.ca
Who am I?
Who am I?
Physics undergrad [Oxford]
Applied maths Masters [Cambridge]
PhD. stude
Topics for today
Finishing o trigonometric integrals
Partial fractions
(Uh-oh. . . )
Products of secants and tangents
tanm x secn x dx
Case 1: m is an odd positive integer
Two things we need to know:
sec2 x = tan2 x + 1
The derivative of sec x is sec x ta
Topics for today
Hyperbolic functions:
Motivation
Denitions
Properties
Inverse hyperbolic functions
Integrals involving inverse hyperbolic functions
Motivation
Denitions of basic functions
Hyperbolic cosine and hyperbolic sine
cosh x =
e x + e x
2
sinh x
Topics for today
Riemann sum approximations:
Quick recap
Distance and velocity
Volumes by the method of cross-sections:
The disc method
The washer method
Riemann sum approximations: recap
Suppose we want to approximate a quantity Q associated with an
inte
MATHEMATICS 101 Midterm #3 4:30 p.m. November 22, 2016
Instructor: Dr. R. Steacy
Your name:
Your student no.:
Your lecture section no.:
Your tutorial section no.:
Total marks: 28. Please be sure to show sufficient work to justify your answers. As you have
MATHEMATICS 101 Midterm #3 2:30 p.m. November 22, 2016
Instructor: Dr. R. Steacy
Your name:
Your student no.:
Your lecture section no.:
Your tutorial section no.:
Total marks: 28. Please be sure to show sufficient work to justify your answers. As you have
MATHEMATICS 101 Midterm #3 3:30 p.m. November 22, 2016
Instructor: Dr. R. Steacy
Your name:
Your student no.:
Your lecture section no.:
Your tutorial section no.:
Total marks: 28. Please be sure to show sufficient work to justify your answers. As you have
Math 101, Spring 2013
Midterm 3 Exercises
These questions are for your practice only they are not the representative of the
Midterm #3 questions, nor is this a sample midterm. The answers to this set are
on the last page of this print out.
1. For each of
Math 101, Spring 2013
Assignment 1 Math 100, Review problems
These questions are for your practice only they are not to be handed in. The
solutions to this set of questions will not be posted on Moodle. Quiz #1 on
January 9 will contain similar problems t