Calculus 3
SM 223: Sections 4041, 5041, 6041
Dr. T. S. Michael
COURSE INFORMATION
LINKS
QUIZZES
- Quiz 1: [ Mon 30 Aug ]
Section 12.1 of text
BLANK
SOLUTIONS
- Quiz 2: [ Fri 03 Sep ]
Section 12.2 of text
BLANK SOLUTIONS
- Quiz 3: [ Tue 07 Sep ]
Dot Products
BLANK
SOLUTIONS
- Quiz 4: [ Mon 13 Sep ]
Cross Products BLANK
SOLUTIONS
- Quiz 5: [ Tue 28 Sep ]
Surfaces
BLANK
SOLUTIONS
- Quiz 6: [ Wed 29 Sep ] Section 13.2 of
text BLANK
SOLUTIONS
- Quiz 7: [ Tue 5 Oct ]
Projectile Motion BLANK
SOLUTIONS
- Quiz 8: [ Fri 8 Oct ]
Length of a Space Curve BLANK
SOLUTIONS
- Quiz: 9: [Tue
12 Oct ] Partial Derivatives (day 1 of our classnotes. e.g. p
888 #3a, 10) BLANK
SOLUTIONS
- Quiz 10: [ Tue 26 Oct ]
Chain Rule BLANK
SOLUTIONS
- Quiz 11: [ Mon 1 Nov ]
Gradient Properties
BLANK
SOLUTIONS
- Quiz 12: [ Tue
2 Nov ] Gradients and Directional Derivatives
BLANK
SOLUTIONS
- Quiz 13: [ Mon 15 Nov ]
Test #3 Material
BLANK SOLUTIONS
- Quiz 14: [ Wed 17 Nov ] Test
#3 Material
BLANK SOLUTIONS
- Quiz 15:[ Fri 15-19 Nov
] Test #3 Material
BLANK
SOLUTIONS
- Quiz 16: [ Mon 22 Nov ] Double Integrals, Section
15.2 of text BLANK
SOLUTIONS
- Quiz 17: [ Tue 23 Nov ] Double Integrals, Section 15.3
of text BLANK
SOLUTIONS
- Quiz 18: [ Wed 24 Nov ]
Multiple Choice Questions from Old Final Exam
See handout in class for solutions
- Quiz 19: [ Wed 24 Nov ]
Multiple Choice Questions from Old Final Exam
See handout in class for solutions
- Quiz 20: [ Mon 29 Nov ]
Polar Double Integrals: BLANK
SOLUTIONS Review your class-notes and
the problems #1, 4, 7, 9 on page 978 of our text
- Quiz 21:
[ Tue 30 Nov ]
Triple Integrals:
BLANK
SOLUTIONS Review your class-notes and
the problems #3, 5, 9 on page 998 of our text
SAMPLE
TESTS These sample tests
give you an idea of the format, length, and difficulty of the tests this
semester.
However, our syllabus is slightly different this semester.
- Sample Test #1
Solutions
OMIT: Problems #5ad, #6d, #7eg;
POSTPONE UNTIL Test #2: Problem #3
- Sample Test #2
Solutions
- Sample Test #3
Solutions
For Lagrange Multiplier see Sample Test #4, Problems 2
and 6
- Sample Test #4
Solutions
OMIT: #3a, #5(last 4 parts).
There are no Lagrange multiplier problems on our Test #4 this semester.
Also, this semester we are covering triple integrals in cylindrical and
spherical coordinates (15.7, 15.8) and joint density probability functions
(15.5).
TESTS
COMMON
FINAL EXAM
Monday 20 Dec 1330-1630
Rooms for Dr Michael's Sections:
4th period = CH121 - near our regular classroom
5th period = CH123 - near our regular classroom
6th period = CH122 - near our regular classroom
Bring: Calculator (with extra batteries), #2
pencils, crib-sheet.
The crib-sheet is one 8.5-by-11-inch sheet of paper with whatever you want
written on one side. The other side is blank. Put your name on it.
Do not bring blank paper or blue books. I will provide paper.
Format: This is a common final exam taken by all students in SM223.
Students are responsible for all the material in the course.
You are also expected to be able to evaluate basic derivatives and integrals
without a calculator.
The final exam has 3 parts:
1. Proof question. No calculator. No crib-sheet. You are
responsible for the three theorems and proofs that were mentioned in class. See
handout.
2. Multiple-choice. 20 questions. No calculator. Crib-sheet allowed. No partial
credit.
3. Long answer. 9 questions. Calculator and crib-sheet both allowed. Show your
work to receive full or partial credit.
Calculators: Calculators will be required for part of the exam. Make sure
you have extra batteries. Calculators cannot be shared with other students. You
can type whatever information you want into your calculator in advance.
Old Exams: Old final exams (many with solutions) are available at the
link at the top of this webpage. These will give you a guide to the format,
length, and difficulty.