Last Name:
Mat 1339 C Fall 2015, Midterm 2
November 8th, 2015
Instructor: Arash J amshidpey
First Name:
Student Number
Instructions:
Duration of the exam: 80 minutes
Total marks: 50
No books or notes are permitted during the exam.
Only basic calculato

Final Examination
Math1339 (C) Calculus and Vectors
December 22, 2010
09:30-12:30
Sanghoon Baek
Department of Mathematics and Statistics
University of Ottawa
Email: sbaek@uottawa.ca
Final Examination
MAT 1339 C
Instructor: Sanghoon Baek
December 22, 2010

Math 1339 (C) Fall 2010 Final Examination
3902—43
for :2: < ~1
Problem 1: 10 o' t‘ Lt a: = $+1 ’
( pmb) e f<> {2m2+A, formZ—«l.
(a) (5 points) For What value of A is continuous at 93 2 ——1? Justify
your answer.
(b) (5 points) Use the deﬁnition of the

University of Ottawa
Department of Mathematics and Statistics
MAT1339A Test 1 Fall 2014 (B)
Oct 7, Tuesdays, 13:00-14:20, 80 minutes.
Professor: Dr. Hua
Instructions:
This exam consists of two parts. Part I has ve multiple-choice questions (2 points each

University of Ottawa
Department of Mathematics and Statistics
MAT1339A Test 1 Fall 2014 (A)
Oct 7, Tuesdays, 13:00-14:20, 80 minutes.
Professor: Dr. Hua
Instructions:
This exam consists of two parts. Part I has ve multiple-choice questions (2 points each

MAT 1339A Fall 2014
INTRODUCTION TO Calculus & Vectors
Instructor: Dr. Hua
E-mail: hxinhou@uottawa.ca (Your email subject: MAT1339A)
Office Hours: B07-A, 585 King Edward: Tuesdays and Thursdays, 2:30-3:30pm; or by
appointment, or by email.
Course web: Vir

MAT1339 A
Fall 2014
Assignment 1
Due: September 23: 6:00pm.
Please submit your assignment on or before 6:00pm. You need to
put your assignment into the box in the Hall of Math Building,
585 King Edward. '
Instructor: Dr. Hua
Instructions:
You should show

MATH. 1339 - Practice Exam.
1
MATH 1339-Practice Midterm # 2-2013
Question 1. Find two real numbers such that the sum of their squares is equal to 100 and
their product is maximum.
Question 2. Let u be the vector which makes the angle of 200 degree with t

Chapters 4 and 5
Goals
to know the derivatives of the trigonometric functions and be able to use them in
applications
to know the derivatives of exponential functions
to understand the properties of the exponential function f (x) = ex
to understand th

Chapter 6
Goals
to understand the dierence between scalars and vectors
to understand the various ways of describing the direction of a vector (and be able to
convert between them)
to be able to add (and subtract) vectors geometrically and understand th

Chapter 3
Goals
to understand what it means for a function to be increasing or decreasing and the
connection with the rst derivative
to understand what a critical number (or point) of a function is
to understand local and absolute extrema of functions

MAT 1339, Fall 2013 Assignment 4
Due NOV29th 11:59 AM.
Late assignments will NOT be accepted. An assignment drop-o box is assigned for this
course and is located at Math department. (KED 585)
Professor: Maryam Hosseini
Student Name
Student Number
By signi

MATH 1339 B-MIDTERM # 2-2016
Instructor: Thomas R Keith ONeill
Last Name:
First Name:
ID#
Instructions: This midterm exam consists of 6 questions, some with multiple components, totalling 42 marks. The number of points for each question
is indicated. You

MATH 1339 B-MIDTERM # 1-2016
Instructor: Thomas R Keith ONeill
Last Name:
First Name:
ID#
Instructions: This midterm exam consists of 5 questions, some with multiple components, totalling 19 marks. The number of points for each question
is indicated. You

TAP 222-4: Momentum questions
These questions change in difficulty and ask you to relate impulse to change of momentum.
1.
Thrust SSC is a supersonic car powered by 2 jet engines giving a total thrust of
180 kN.
Calculate the impulse applied to the car wh

MAT 1339A Midterm 1 ~ 2016
Professor: Jeeon Bramlmrger
Last Neune: ,watptlsla111e2
Student Number:
Instructions: This midterm consists of =1 multiple choice questions followed by 4 long answer
questione. The multiple Choice thstions are worth 2 poin

Questions for Midterm Preparation
1) Calculate the following limits. If no limit exists, state the reason
lim/ x2 1
x
x
1
lim / x2 + 6x + 1
5
lim /
x
x
lim/
x2
2 x2 + 2
3 x2
x+3
+ 8x + 15
2. Provide two answers for Assignment 1, Question 3. (Note that in

Questions for Midterm Preparation
1) Find the equation of the tangent line to f (x) = ex sin(x) at x = 1
The point of the curve to which the tangent line is tangential is
(1, f (1) = (1, esin(1). f 0 (x) = ex sin(x) + ex cos(x) and so the slope of this
ta

MAT 1339B Winter 2016 Assignment 1
Due: Monday, January 25, 2016 at 3:00 p.m. in KED 585
Instructions: Complete your assignment on seperate sheets of
paper. It is not necessary to print off these question sheets. Show
all of your work.
Question 1:
a) Find

MAT 1339B Winter 2016 Assignment 3
Due: Wednesday, April 6, 2016 at 3:00 p.m. in KED 585
Instructions: Complete your assignment on seperate sheets of
paper. It is not necessary to print off this question sheet. Show
all of your work.
Question 1:Sketch the

MAT 1339B Winter 2016 Assignment 2
Due: Tuesday, February 29, 2016 at 3:00 p.m. in KED 585
Instructions: Complete your assignment on seperate sheets of
paper. It is not necessary to print off this question sheet. Show
all of your work.
Question 1: Let the

MAT 1339 C: Introduction to Calculus and Vectors (Fall 2015)
Assignment 1: Due date on September 28
Instructor: Arash Jamshidpey
Name:
Student Number:
1. Find the domain and the inverse of the following functions:
a) f (x) =
b) f (x) =
3
1 x7
3x+2
2x5
1
2

MAT 1339 C: Introduction to Calculus and Vectors (Fall 2015)
Assignment 2: Due date on November 4
Instructor: Arash Jamshidpey
Name:
Student Number:
1.
a) Determine the equation of the tangent to the curve y = tan x+2 cos x
at x = 4 .
2
b) Show f 0 (0) =

MAT 1339 C: Introduction to Calculus and Vectors (Fall 2015)
Assignment 3: Due date on December 4th, 3:30 p.m.
Instructor: Arash Jamshidpey
Name:
Student Number:
1. Let ~u, ~v and w
~ be three vectors. Simplify the following vectors:
a) (2(~u + w)
~ ~v )

Questions for Midterm Preparation
1) Calculate the following limits. If no limit exists, state the reason
lim/ x2 1
x
1
Solution: This limit does not exist. The left-hand limit cannot be
evaluated because for all x < 1 x2 1 = (x 1)(x + 1) is negative.
x
l

a/
1 a) U9? intervan to describe the domain of the function f ( 1:) — 31:2 7—41: + 2
. i . . , f . . . 4 3x _ 8 .
(2 points)
\/2' -—. 5
1) Use intervals to describe the domain of the function g(a:) = 41: 1:5 .
(2 points)
34'2-‘1’6 #9 CW W
91/3X~9 Wk 0

MAT 1339 C: Introduction to Calculus and Vectors (Fall 2015)
Assignment 3: Due date on December 4th, 3:30 p.m.
Instructor: Arash Jamshidpey
Name:
Student Number:
1. Let 11, 17 and u? be three vectors. Simplify the following vectors:
a) (2(u+w)")+3(2vu)
(1

MAT 1339 C: Introduction to Calculus and Vectors (Fall 2015)
Assignment 1: Due date on September 30
Instructor: Arash Jamshidpey
Name:
Student Number:
1. Find the domain and the inverse of the following functions:
a) f (x) =
3
1 x7
[5 points]
Answer: The