Spring 2013
Calculus II with Probability and Matrices
Office: Room DRL 4E6
Office Hours: Tuesday and Wednesday 1:30 - 2:45
or by appointment
Teaching Assistant: Jonathan Kariv DRL 3W8
jkariv at math dot upenn dot edu
Teaching Assistant Office Hours: Monday and Thursday 2 - 3
Any type of problem from Math 115
old finals
or
core problems
can come up on our final exam,
which will be held Wednesday, May 1, 12 - 2 p.m. in DRL A-5.
Homework #9 due in recitations Friday, April 19 and Monday, April 22.
Please use the column notation
from class and not the row notation from the textbook.
There will be no quiz on these problems.
- Schaum's Outline Probability 2nd edition Chapter 7 all
core problems
- Problem 9 from Fall 12 Math 115 final exam
- Problem 17 from Spring 12 Math 115 final exam
- Problem 18 from Spring 11 Math 115 final exam
- Problem 18 from Fall 10 Math 115 final exam
- Problem 17 from Spring 10 Math 115 final exam
- Problem 17 from Fall 09 Math 115 final exam
- Problem 17 from Fall 08 Math 115 final exam
- Problem 17 from Spring 08 Math 115 final exam
- Problem 17 from Fall 07 Math 115 final exam
- Problem 18 from Spring 06 Math 115 final exam
- Problem 15 from Spring 05 Math 115 final exam
- Problem 6 from Fall 04 Math 115 final exam
- Problem 16 from Spring 04 Math 115 final exam
- Problem 17 from Fall 03 Math 115 final exam
- Problem 10 from Spring 03 Math 115 final exam
- Problem 15 from Fall 02 Math 115 final exam
Homework #8 due in recitations Friday, April 12 and Monday, April 15.
There will be a quiz on these problems in recitations on Friday, April 19
and Monday, April 22.
-
Hefferon's Linear Algebra Chapter One Section I.3 and Section III
core problems
- Problems 2, 16 from Fall 12 Math 115 final exam
- Problems 16, 18 from Spring 12 Math 115 final exam
- Problems 5, 9, 14, 18 from Fall 11 Math 115 final exam
- Problem 17 from Spring 11 Math 115 final exam
- Problem 16 from Fall 2010 Math 115 final exam
- Problems 14, 16, 18 from Spring 10 Math 115 final exam
- Problems 15, 16, 18 from Fall 09 Math 115 final exam
- Problems 11, 15 from Spring 09 Math 115 final exam
- Problems 12, 16 from Fall 08 Math 115 final exam
- Problems 15, 16, 18 from Spring 08 Math 115 final exam
- Problems 15, 16 from Fall 07 Math 115 final exam
- Problems 16, 17 from Fall 06 Math 115 final exam
- Problem 16 from Spring 06 Math 115 final exam
- Problems 9, 13, 18 from Fall 05 Math 115 final exam
- Problem 18 from Spring 05 Math 115 final exam
- Problems 5, 12 from Fall 04 Math 115 final exam
- Problems 15, 18 from Spring 04 Math 115 final exam
- Problem 18 from Fall 03 Math 115 final exam
- Problem 5 from Spring 03 Math 115 final exam
- Problem 17 from Fall 02 Math 115 final exam
Homework #7 due in recitations Friday, April 5 and Monday, April 8.
There will be a quiz on these problems in recitations on Friday, April 12
and Monday, April 15.
-
Hefferon's Linear Algebra Chapter One Sections I.1 and I.2
core problems
- Problems 3, 12, 14, 15 from Fall 12 Math 115 final exam
- Problems 13, 14, 15 from Spring 12 Math 115 final exam
- Problems 2, 12 from Fall 11 Math 115 final exam
- Problems 12, 13, 15, 16 from Spring 11 Math 115 final exam
- Problems 13, 14, 15, 17 from Fall 10 Math 115 final exam
- Problems 12, 13, 15 from Spring 10 Math 115 final exam
- Problems 13, 14 from Fall 09 Math 115 final exam
- Problems 13 from Spring 09 Math 115 final exam
- Problems 11, 13, 14, 15 from Fall 08 Math 115 final exam
- Problems 13, 14 from Spring 08 Math 115 final exam
- Problems 13, 14 from Fall 07 Math 115 final exam
- Problem 13 from Spring 07 Math 115 final exam
- Problems 10, 12, 15, 17 from Fall 06 Math 115 final exam
- Problems 13, 14, 15, 17 from Spring 06 Math 115 final exam
- Problems 2, 5, 12 from Fall 05 Math 115 final exam
- Problems 12, 13, 14, 16 from Spring 05 Math 115 final exam
- Problem 7, 17 from Fall 04 Math 115 final exam
- Problems 14, 17 from Spring 04 Math 115 final exam
- Problems 13, 14, 15 from Fall 03 Math 115 final exam
- Problem 2, 9 from Spring 03 Math 115 final exam
- Problems 13, 14, 16 from Fall 02 Math 115 final exam
Homework #6 due in recitations Friday, March 29 and Monday, April 1.
There will be a quiz on these problems in recitations on Friday, April 5
and Monday, April 8.
- Schaum's Outline Probability 2nd edition Chapter 6 problems
6.70abcdef, 6.71abcd, and 6.72
- Problem 19 from Fall 12 Math 115 final exam
- Problem 19 from Spring 12 Math 115 final exam
- Problem 17 from Fall 11 Math 115 final exam
- Problem 19 from Spring 11 Math 115 final exam
- Problem 19 from Fall 10 Math 115 final exam
- Problem 19 from Spring 10 Math 115 final exam
- Problem 19 from Fall 09 Math 115 final exam
- Problems 14, 16 from Spring 09 Math 115 final exam
- Problems 18, 19 from Fall 08 Math 115 final exam
- Problem 19 from Spring 08 Math 115 final exam
- Problems 18, 19 from Fall 07 Math 115 final exam
- Problem 12 from Spring 07 Math 115 final exam
- Problem 18 from Fall 06 Math 115 final exam
- Problem 19 from Spring 06 Math 115 final exam
- Problem 17 from Fall 05 Math 115 final exam
- Problem 17 from Spring 05 Math 115 final exam
- Problem 8 from Fall 04 Math 115 final exam
- Problem 19 from Spring 04 Math 115 final exam
- Problem 10 from Fall 03 Math 115 final exam
- Problem 14 from Spring 03 Math 115 final exam
- Problem 19 from Fall 02 Math 115 final exam
Midterm exam #2 to be held in class on Thursday, March 21, 2013 will
cover any type of problem from homework #3, #4, and #5, including
Math 115 old finals or core problems.
Homework #5 due in recitations Friday, March 15 and Monday, March 18.
- Schaum's Outline Probability 2nd edition Chapter 5 problems
5.86abc, 5.88abc, and 5.90ab
- Schaum's Outline Probability 2nd edition Chapter 6 problems
6.52, 6.53, 6.54, 6.55, 6.56, 6.57, 6.61, 6.62, and 6.63.
- Problems 11, 17 from Fall 12 Math 115 final exam
- Problems 9, 11, 12 from Spring 12 Math 115 final exam
- Problems 1, 6 from Fall 11 Math 115 final exam
- Problems 10, 11 from Spring 11 Math 115 final exam
- Problems 9, 10, 11 from Fall 10 Math 115 final exam
- Problems 7, 9, 11 from Spring 10 Math 115 final exam
- Problems 8, 10, 11, 12 from Fall 09 Math 115 final exam
- Problem 10 from Spring 09 Math 115 final exam
- Problems 9, 10 from Fall 08 Math 115 final exam
- Problems 11, 12 from Spring 08 Math 115 final exam
- Problems 11, 12 from Fall 07 Math 115 final exam
- Problems 9, 11 from Spring 07 Math 115 final exam
- Problems 9, 13 from Fall 06 Math 115 final exam
- Problems 9, 10 from Spring 06 Math 115 final exam
- Problems 1, 6 from Fall 05 Math 115 final exam
- Problems 9, 10 from Spring 05 Math 115 final exam
- Problems 11, 15, 18 from Fall 04 Math 115 final exam
- Problem 12 from Spring 04 Math 115 final exam
- Problems 8, 9, 11 from Fall 03 Math 115 final exam
- Problem 1 from Spring 03 Math 115 final exam
- Problem 11 from Fall 02 Math 115 final exam
Homework #4 due in recitations Monday, February 25, Friday, March 1, and
Monday, March 11. You should do all these problems before your recitation.
These problems will be discussed during the recitations on Monday, February
25, Friday, March 1, and Monday, March 11. There will be a quiz on these
problems at the beginning of your recitations on Friday, March 15 and
Monday, March 18.
-
Core problems from Schaum's Outlines Probability, Second Edition
Chapters 4 and 5.
- Schaum's Outline Probability 2nd edition Chapter 5 problems
5.77ab, 5.78abc, 5.79a, 5.80a.
- Problem 8 from Fall 12 Math 115 final exam
- Problems 6, 7, 8 from Spring 12 Math 115 final exam
- Problems 13, 16 from Fall 11 Math 115 final exam
- Problem 6, 7, 8 from Spring 11 Math 115 final exam
- Problem 7, 8 from Fall 10 Math 115 final exam
- Problem 8 from Spring 10 Math 115 final exam
- Problem 6, 7, 9 from Fall 09 Math 115 final exam
- Problem 6, 7, 8, 9 from Spring 09 Math 115 final exam
- Problem 8 from Fall 08 Math 115 final exam
- Problems 8, 9, 10 from Spring 08 Math 115 final exam
- Problems 5, 8, 9, 10 from Fall 07 Math 115 final exam
- Problems 7, 8, 10 from Spring 07 Math 115 final exam
- Problem 8, 11 from Fall 06 Math 115 final exam
- Problems 6, 11 from Spring 06 Math 115 final exam
- Problems 14, 16 from Fall 05 Math 115 final exam
- Problem 7 from Spring 05 Math 115 final exam
- Problem 16 from Fall 04 Math 115 final exam
- Problems 7, 9, 10 from Spring 04 Math 115 final exam
- Problems 12, 16 from Fall 03 Math 115 final exam
- Problems 15, 18 from Spring 03 Math 115 final exam
- Problems 8, 10 from Fall 02 Math 115 final exam
Midterm exam to be held in class on Thursday, February 21, 2013 will
cover any type of problem from homework #1, #2, and #3, including
Math 115 old finals or core problems.
Homework #3 due in recitations Friday, February 8 and Monday, February 11.
You should do all these problems before your recitation. These problems will
be discussed during the recitations on Friday, February 8 and Monday,
February 11. There will be a quiz on these problems at the beginning of your
recitations on Friday, February 15 and Monday, February 18.
-
Core problems from Schaum's Outlines Probability, Second Edition
Chapters 2 and 3.
- Problems 5, 7 from Fall 12 Math 115 final exam
- Problems 1, 2, 3, 4, 5, 10 from Spring 12 Math 115 final exam
- Problems 15 from Fall 11 Math 115 final exam
- Problems 5, 9 from Spring 11 Math 115 final exam
- Problems 5, 6, 12 from Fall 10 Math 115 final exam
- Problems 5, 6 from Spring 10 Math 115 final exam
- Problem 5 from Fall 09 Math 115 final exam
- Problem 9 from Spring 09 Math 115 final exam
- Problems 5, 6, 7 from Fall 08 Math 115 final exam
- Problems 5, 6, 7 from Spring 08 Math 115 final exam
- Problems 6, 7 from Fall 07 Math 115 final exam
- Problem 6 from Spring 07 Math 115 final exam
- Problems 6, 7 from Fall 06 Math 115 final exam
- Problems 7, 8 from Spring 06 Math 115 final exam
- Problem 15 from Fall 05 Math 115 final exam
- Problems 6, 8 from Spring 05 Math 115 final exam
- Problems 9, 10 from Fall 04 Math 115 final exam
- Problems 6, 8, 13 from Spring 04 Math 115 final exam
- Problem 7 from Fall 03 Math 115 final exam
- Problems 16, 17 from Spring 03 Math 115 final exam
- Problem 7, 9, 12 from Fall 02 Math 115 final exam
Homework #2 due in recitations Friday, February 1 and Monday, February 4.
You should do all these problems before your recitation. These problems will
be discussed during the recitations on Friday, February 1 and Monday,
February 4. There will be a quiz on these problems at the beginning of your
recitations on Friday, February 8 and Monday, February 11.
-
Core problems from Thomas Calculus 14.7, 14.8, 15.1, and 15.2.
- Problems 3, 7, 8, 10, 11 from Fall 11 Math 115 final exam
- Problems 2, 3, 4 from Spring 11 Math 115 final exam
- Problems 1, 2, 4 from Fall 10 Math 115 final exam
- Problems 2, 3, 4 from Spring 10 Math 115 final exam
- Problems 2, 3, 4 from Fall 09 Math 115 final exam
- Problems 1, 2, 3, 5 from Spring 09 Math 115 final exam
- Problems 2, 3, 4 from Fall 08 Math 115 final exam
- Problems 2, 3, 4 from Spring 08 Math 115 final exam
- Problems 2, 3, 4 from Fall 07 Math 115 final exam
- Problems 2, 3, 4, 5 from Spring 07 Math 115 final exam
- Problems 2, 3, 4, 5 from Fall 06 Math 115 final exam
- Problems 2, 3, 4, 5 from Spring 06 Math 115 final exam
- Problems 3, 7, 10, 11 from Fall 05 Math 115 final exam
- Problems 2, 3, 4, 5 from Spring 05 Math 115 final exam
- Problems 2, 3, 4, 13, 14 from Fall 04 Math 115 final exam
- Problems 2, 3, 4, 5 from Spring 04 Math 115 final exam
- Problems 1, 3, 4, 5 from Fall 03 Math 115 final exam
- Problems 3, 6, 7, 11, 12 from Spring 03 Math 115 final exam
- Problems 2, 3, 4, 5, 6, 18 from Fall 02 Math 115 final exam
Homework #1 due in recitations Friday, January 25 and Monday,
January 28.
You should do all these problems before your recitation. These
problems will be discussed during the recitations.
There will be a quiz on these problems at the beginning of your
recitation the following week, Friday, February 1 and Monday,
February 4.
-
Core problems from Thomas Calculus 14.1, 14.2, 14.3, 14.4, and 14.6.
- Problem 1 from Spring 11 Math 115 final exam
- Problem 3 from Fall 10 Math 115 final exam
- Problem 1 from Spring 10 Math 115 final exam
- Problem 1 from Fall 09 Math 115 final exam
- Problem 4 from Spring 09 Math 115 final exam
- Problem 1 from Fall 08 Math 115 final exam
- Problem 1 from Spring 08 Math 115 final exam
- Problem 1 from Fall 07 Math 115 final exam
- Problem 1 from Spring 07 Math 115 final exam
- Problems 1, 14 from Fall 06 Math 115 final exam
- Problem 1 from Spring 06 Math 115 final exam
- Problem 8 from Fall 05 Math 115 final exam
- Problem 1 from Spring 05 Math 115 final exam
- Problem 1 from Fall 04 Math 115 final exam
- Problem 1 from Spring 04 Math 115 final exam
- Problems 2, 6 from Fall 03 Math 115 final exam
- Problem 8 from Spring 03 Math 115 final exam
- Problem 1 from Fall 02 Math 115 final exam
You do not have to hand in homework, but there will be a quiz from the
previous week's homework at the beginning of each recitation. The first quiz
will be Friday, February 1 and Monday, February 4, respectively. Each
midterm exam will also be based on the homework so if you have done the
homework you should do well on the quizzes and on the midterm exams.