University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 2
Assignment to be submitted in class on Friday, October 3, 2014 (or earlier).
Matlab programs (question 4) must be send to the instructor (the prog
University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 5
Assignment to be submitted in class on Friday, October 31, 2014. Unless explicitly
stated, a question must be solved with no computing tools other
University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 7
Assignment to be submitted in class on Monday, November 17, 2014. Unless
explicitly stated, a question must be solved with no computing tools othe
University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 3
Assignment to be submitted in class on Friday, October 10, 2014.
Question 1
5
Suppose that the LU decomposition of an n n banded matrix A with upp
University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 9
Assignment to be submitted in class on Friday, December 5, 2014.
Unless
explicitly stated, a question must be solved with no computing tools other
University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 4
Assignment to be submitted in class on Friday, October 24, 2014. Unless explicitly stated, a question must be solved with no computing tools other
University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 1
Assignment to be submitted in class on Friday, September 26, 2014.
Question 1
10
Consider the following expressions.
r
1
1
+ 2,
a 0, b 1
2
a
b
r
r
University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 8
Assignment to be submitted in class on Friday, November 28, 2014.
Unless
explicitly stated, a question must be solved with no computing tools othe
University of Saskatchewan
Department of Mathematics and Statistics
Math 313.3(01) 2014-2015 T1
Assignment 6
Assignment to be submitted in class on Friday, November 7, 2014. All questions must be solved with no computing tools other than a hand-held, non-
MATH 104.3
Test #1 . ,
October 6 2010
cfw_1]. Which is the correct interval notation for the set cfw_xl x > 3 ?
(A) [00,3) (B)- [-3,] (C). (39) (D)- (-00,3) (E)- (-,)
(Fl [3,) (G) (-,-3l (H) (-r3)U(-3,) (0- [00,3] (0- (-33)
[2]. Which is the set notation
MATH 104.3
Test #1 October 5 2011
Note: There are 16 questions of equal value. Be sure to answer the last question correctly!
2
[ll-Determine the following limit: Zimx_x_4_
x>5 4x8 .
09% (13% (0% (13% (E) % (3% ,; .(G) A (H) +00 (1)-.) (I) does m exist
MATH 104.3
Term Test #2 November 2 2011
If the correct answer is not present, the answer choice that is numerically or logically closest
to the correct answer will be marked as being the correct choice.
[1]. Whatis h'(2)1f h(x)- J :2
x31+2x
7 5
93
Ola- MatthLfclF.
UNIVERSITY OF SASKATCHEWAN
Department of Mathematics & Statistics
Math 101.3 Test 1
Date: October 1, 2007 Time: 45 minutes Instructor: Qingde Yang
Closed Book No Calculators, No Formula Sheets, No Notes
0:. PRINT your name clearly and wri
Chapter 1: Fundamentals
Ch1S1 Real Numbers
Real Numbers
There are many number systems
Real number system (1-dimension system)
Complex number system (2-dimension system)
Hamilton Number system (3-dimension system)
Calculus is based on real number system
1
Ch1S8 Inequalities
To solve an inequality of one variable mean to find
all values of the variable that make the inequality
true.
An inequality generally has infinitely many
solutions, which form an interval or a union of
intervals on the real line.
Ex :
Ch2S2 Graphs of functions
Graphing functions by plotting points
1
If we know the graph of a function, we know
everything about the function.
Obtaining the graph for a given function is an
important topic in differential calculus.
The value of f(x) is t
Ch1S10 Lines
Slope
1
To find the slope of a given line, we can use any
two points.
2
Slope is a measure of steepness of the line.
3
Ex : Find the slope of the line throught the points
P(2,1) and Q(8,5).
4
Point-slope form
5
Ex : Find an equation of the li
Chapter 2: Functions
Functions are everywhere
A function is a rule that describes how one quantity
depends on another.
Our world is full of changing quantities. Almost all
quantities are functions of time. For instance, the
motion of planets, sounds, etc.
Chapter 4: Exponential and logarithmic Functions
Ch4S1 Exponential Functions
Exponential functions
1
Graphs of exponential functions
Ex : Draw the graph of each function.
x
1
x
(a ) f ( x) 3
(a ) g ( x)
3
2
3
4
Ex : Find the exponential function f ( x)
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 7 (12 pts)
1. (2 pts) Simplify and find the exact value of this expression:
3 a
log b
1
8
3 a
b
loga a3 = loga 3 a 3 = 3 =
=
log
log
b
loga
a
b
3
a
3
3
2. (2 pts) Solve log3 (x + 5)
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 3 (12 pts)
11
1. (3 pts) Find the value of sin
.
12
11
11
sin
= sin
since sin is an odd function.
12
12
11
= sin
= sin
sin
12
12
12
3 1
1 1
31
sin
= sin
= sin cos sin cos =
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 9 (12 pts)
1. (6 pts) A rectangle with sides parallel to the coordinate axes is inscribed in the ellipse
x2 + 4y 2 = 4. Find the largest possible area for this rectangle.
A = 2x 2y = 4x
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 6 (12 pts)
1. (3 pts) A snowball is melting. By approximately what percentage will the radius of
4
the snowball decrease when the volume (V = r3 ) decreases by 9%?
3
If V is the volume
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 4 (12 pts)
1. Evaluate the following limits. If it does not exist, is the limit , , or neither?
Explain.
5
5
x
3
+
x
3
+
3x + 5
x
x
r
= lim
=
(a) (3 pts) lim
= lim r
2
x
x
x
9x x 2
1
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 5 (12 pts)
1. (4 pts) Does the graph of f (x) = (1 x)5/3 have a tangent line at x = 1? If yes, what
is the tangent line? You may use may the Differentiation Rules to find the derivative
MATH123 CALCULUS I for Engineers
Lab Section: L
Solution Key for Quiz 8 (12 pts)
1. (4 pts) Locate and classify all local extreme values of f (x) =
Determine if any of these are also absolute extreme values.
f 0 (x) =
x
, where 2 x 2.
1 + x2
1 + x2 2x x
1
Ch 6 Applications of integration
This chapter explores some applications of
integration.
In applications, the key is to set up a
definite integral for the given quantity.
1
Topics:
I. Computing the areas between
curves(6.1)
II. Computing the volumes of