Math 1A: Introduction to functions and calculus
Oliver Knill, Spring 2012
3/1/2012: First Midterm Exam
Your Name:
Start by writing your name in the above box.
Try to answer each question on the same page as the question is asked. If needed, use the
back

Math 1A: introduction to functions and calculus
Oliver Knill, Spring 2012
Problem 1) TF questions (20 points) No justications are needed.
T
F
The quantum exponential function exph (x)
D exph (x) = exph (x) for h > 0.
2)
T
F
The function sinc(x) = sin(x)/x

Math 1A: Introduction to functions and calculus
Oliver Knill, Spring 2012
3/1/2012: First hourly Practice A
Your Name:
Start by writing your name in the above box.
Try to answer each question on the same page as the question is asked. If needed, use the

Math 1A: introduction to functions and calculus
Oliver Knill, Spring 2012
5/8/2012: Practice nal A
Problem 1) TF questions (20 points) No justications are needed.
1)
T
F
The quantum exponential function exph (x)
D exph (x) = exph (x) for h > 0.
=
(1 + h)x

Math 1A: Introduction to functions and calculus
Oliver Knill, Spring 2012
3/1/2012: First Midterm Exam
Your Name:
Start by writing your name in the above box.
Try to answer each question on the same page as the question is asked. If needed, use the
back

Math 1A: introduction to functions and calculus
Oliver Knill, Spring 2012
Problem 1) TF questions (20 points) No justications are needed.
The formula
x
0
f (x) dx = f (x) f (0) holds.
1)
T
F
2)
T
F
The area of the upper half disc is the integral
3)
T
F
If

Math 1A: Introduction to functions and calculus
Oliver Knill, Spring 2012
3/1/2012: First hourly Practice A
Your Name:
Start by writing your name in the above box.
Try to answer each question on the same page as the question is asked. If needed, use the

Math 1A: Introduction to functions and calculus
Oliver Knill, Spring 2012
3/1/2012: First Midterm Practice B
Your Name:
Start by writing your name in the above box.
Try to answer each question on the same page as the question is asked. If needed, use th

Math 1A: introduction to functions and calculus
Oliver Knill, Spring 2012
Problem 1) TF questions (20 points) No justications are needed.
The formula
x
0
f (x) dx = f (x) f (0) holds.
1)
T
F
2)
T
F
The area of the lower half disc is the integral
3)
T
F
If

Math 1A: introduction to functions and calculus
Oliver Knill, Spring 2012
Problem 1) TF questions (20 points) No justications are needed.
1)
T
F
If a function f (x) has a critical point 0 and f (0) = 0 then 0 is neither a
maximum nor minimum.
2)
T
F
If f

Math 1A: introduction to functions and calculus
Oliver Knill, Spring 2012
4/5/2012: Second midterm practice B
Problem 1) TF questions (20 points) No justications are needed.
1)
T
F
The formula
x
0
f (x) dx = f (x) f (0) holds.
Solution:
Apply the fundamen

Math 1A: Introduction to functions and calculus
Oliver Knill, Spring 2012
3/1/2012: First Midterm Practice B
Your Name:
Start by writing your name in the above box.
Try to answer each question on the same page as the question is asked. If needed, use th