University of Waterloo
MATH 104 Winter 2013
Midterm Exam I
Monday, February 4, 2013 (2:30-3:50 pm)
SOLUTIONS
Name (print): _
ID Number: _
Signature: _
Instructor: Shahla Aliakbari
Calculators are NOT
University of Waterloo
MATH 104 Winter 2013
Final Exam
Monday, April 15, 2013 (12:30-3:00 pm)
Instructor: Shahla Aliakbari
: 2< x 0
1
[8 marks] 1. Let f ( x) = x
: 0 < x 1 . Sketch this function, and
MATH 104 Fall 2014
Assignment 4
Due: Tuesday, October 21 (4:30 PM)
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit must
MATH 104 Fall 2014
Assignment 3
Due: Monday, October 6 (04:30 PM)
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit must
MATH 104 Fall 2014
Assignment 1
Due: Monday, September 22 (4:30 PM)
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit mus
MATH 104 Winter 2014
Assignment 2
Due: Monday, September 29 (4:30 PM)
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit m
MATH 104 Fall 2014
Tutorial 4
[Short summary of main topics and extra examples.]
Rate of changes
f ( a + h) f ( a )
h
f ( a + h) f ( a )
, provided the limit exits
The instantaneous rate of change = l
MATH 104 Fall 2014
Tutorial 3
[Short summary of main topics and extra examples.]
Logarithmic functions: If a > 0 and a 1 , then the logarithmic function with base a is defined
as y = log a x x = a y .
MATH 104 Fall 2014
Tutorial 8
[Short summary of week 8 main topics and extra examples.]
The function F (x) is said to be anti-derivative of f (x) if F ( x) = f ( x) .
Indefinite integral:
f ( x) dx =
MATH 104 Fall 2014
Tutorial 5
[Short summary of main topics and extra examples.]
Composition of functions: The composition of f (x) and g (x) is defined by
( fog )( x) = f ( g ( x) . The domain of ( f
MATH 104 Fall 2014
Tutorial 7
[Short summary of main topics and extra examples.]
Guideline for sketching the graph of y = f (x) :
Domain, Intercepts, Asymptotes
First and second derivatives
- Interval
MATH 104 Winter 2014
Tutorial 2
[Short summary of main topics and extra examples.]
The graph of a quadratic function f ( x) a x 2 b x c ( a 0 ) is a parabola. If a 0 , the
parabola opens upward, and i
MATH 104 Fall 2014
Tutorial 1
[Short summary of week 1 main topics and extra examples.]
The absolute value of a real number a, denoted |a|, is given by
x : x0
| x | distance from the origin
x : x 0
University of Waterloo
MATH 104 Winter 2013
Final Exam, SOLUTIONS
Monday, April 15, 2013 (12:30-3:00 pm)
: 2 x 0
1
[8 marks] 1. Let f ( x) x
: 0 x 1 . Sketch this function, and indicate its domain.
2
MATH 104 Fall 2014
Assignment 9, Solutions
1. Textbook, Exercises 13.4: # 34, 40, 52
2. Textbook, Exercises 13.5: # 16, 26, 34
3. Assume that the average value of the function y = f (x) from x = a to
MATH 104 Fall 2014
Assignment 9
Due: Monday, December 1 (4:30 PM)
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit must
MATH 104 Fall 2014
Assignment 8
Due: Monday, November 24 (4:30 PM)
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit must
MATH 104 Fall 2014
Assignment 7
Due: Monday, November 17 (4:30 PM)
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit must
MATH 104 Fall 2014
Assignment 6
Due: Monday, November 3 (4:30 PM)
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit must
MATH 104 Fall 2014
Assignment 5, Solutions
1. Textbook, Exercises 11.7: # 28, 48, 64
2. Textbook, Exercises 11.8: # 36, 46, 72
3. The average molecular velocity of a gas in a certain container is give
MATH 104 Fall 2014
Assignment 5
Due: Monday, October 27
[Note: Although you are allowed to discuss the problems with other students, the TA, or the
instructor, the solutions you submit must be your ow
MATH 104 - Fall 2014
Waterloo
University
Midterm Exam I
(Friday October 10, 2014, 2:30-3:50 pm)
SOLUTIONS
[4 marks] 1. Find the domain of each function.
(a) f ( x) =
1
x x
2
,
(b) g ( x) = 3 x 2 + x
S
University of Waterloo
MATH 104 Winter 2013
Midterm Exam II
Monday, March 11, 2013 (2:30-3:50 pm)
SOLUTIONS
Name (print): _
ID Number: _
Signature: _
Instructor: Shahla Aliakbari
Calculators are NOT a
Math 104 Final Exam Syllabus
The final exam is cumulative; it covers the entire semester. You will need to know:
How to simplify expressions (using the proper Order of Operations) involving fractions,
Math 104 Quiz 2 - Solution: Total is 25 points
Name (Print):
UW Student ID Number:
1. Graph the function f (x) = x3 x2 20x.
x-intercepts at (4, 0), (0, 0), (5, 0)
Five points: 3 for correct intercepts
Name (Print):
UW Student ID Number:
University of Waterloo
Winter 2014 Test 2
Math 104
Calculus for Arts and Social Sciences
Date: March 17, 2014
Time: 2:30 p.m. - 3:50 p.m.
Number of pages: 7
(includ
Name (Print):
UW Student ID Number:
University of Waterloo
Winter 2014 Test 1
Math 104
Calculus for Arts and Social Sciences
Date: February 10, 2014
Time: 2:30 p.m. - 3:50 p.m.
Number of pages: 7
(inc
Name (Print):
UW Student ID Number:
University of Waterloo
Winter 2014 Test 2 - Solution Set
Math 104
Calculus for Arts and Social Sciences
Date: March 17, 2014
Time: 2:30 p.m. - 3:50 p.m.
Number of p