|Meeting Time||Mon., Wed., Fri., 9:00 - 9:50|
|Location || Pepper Canyon Hall 109 |
|Instructor|| Dragos Oprea
| Erik Carl
- Office: 6446
- Office Hours: M & Tu 5-6.
ecarl at math dot ucsd dot edu.
- Section A01, WLH 2115, Th 3PM
- Section A02, WLH 2115, Th
- Section A03, WLH 2115, Th 5PM.
- Section A04, WLH 2115, Th 6PM.
|| Calculus, 4th edition, by Deborah Hughes-Hallett, Andrew M.
Gleason, et. al.; published by John Wiley & Sons, 2005.
The textbook is required and available at the bookstore and on
the library. We will cover parts of Chapters 8,9, 10, 12-15 of the text.
| Grade |
|The grade is computed as the best of
the following weighed averages:
- Quizzes 15%, Midterm I 20%, Midterm II 20%, Final
- Quizzes 15%, Midterm I 15 %, Midterm II 15%, Final
| Vector geometry, velocity,
and acceleration vectors.
|Prerequisites|| AP Calculus BC score of 3, 4, or 5, or
Math 10B with a grade of C- or better, or Math 20B with a grade of C- or
|Readings||Reading the sections of the textbook
the assigned homework exercises is considered part of the homework
assignment. You are responsible for material in the assigned reading
whether or not it is discussed in the lecture. It will be expected that
you read the assigned material in advance of each lecture.|
|Calculators|| A graphing calculator (preferably a TI-83)
is recommended. Many exercises in the textbook assume the use of a
graphing calculator. Help with using TI graphing calculators will be
available in the Calculus Tutoring
Note: You may use a
calculator during exams (but you are only allowed to use them for
arithmetic); however, you will be expected to show all work
leading to a solution. No credit will be given to unsupported answers
gotten directly from your calculator.
|Homework || Homework will be assigned on the course
and should be completed by the discussion section on the
indicated due date. Homework will not be collected; your homework will be
evaluated by your performance on periodic quizzes.
You should make every
effort to complete the homework assignments and seek help with problems
you have not been able to solve. You can get help with the homework
assignments in the Calculus
Tutoring Lab (APM B402A). A Student Solutions
Manual (available in the Bookstore) has complete solutions for all of the
odd-numbered problems in the text.
|Quizzes||There will be 5 quizzes given during Friday
lectures. I will only consider the best 4 quizzes when computing the
grade. See the course calendar
for the dates of the quizzes.
Each quiz will consist of two problems
taken directly from the assigned homework; however, the data (numbers) may
be changed on some problems. You will be allowed 20 minutes to complete
each quiz. No notes (or books) will be allowed during the quizzes.
will be no makeup quizzes.
|There will be two midterm exams given
class. The dates are Oct 21 and Nov 20. There will be no makeup exams. You
are allowed to bring one sheet of notes (front only) fot the exams.
| The final examination will be held on
Wednesday, December 9, 8:00-11:00. There is no make up final
It is your responsability
to ensure that you do not have a schedule conflict during the final
examination; you should not enroll in this class if you cannot
sit for the final examination at its scheduled time.
|Regrades|| Quizzes and midterm exams will be returned in
sections. If you wish to have your quiz or exam regraded, you must observe
the following rules:
- Return your quiz or exam immediately to your TA. Regrade requests
be considered once the quiz or exam leaves the room.
- If you disagree with the TA's answer to your regrade request, you may
for the instructor to review it. In order to do this, you must:
- Return your quiz or exam immediately to your TA and ask that they
it to the instructor.
- Instructor review requests will not be considered once the quiz or
leaves the room.
- If you do not retrieve your quiz or exam during discussion section,
must arrange to pick it up from your TA within one week after it was
returned in order for any regrade request to be considered.
| Academic dishonesty is
considered a serious offense at UCSD. Students caught cheating will face
an administrative sanction which may include suspension or expulsion from
| An outline of the
responsibilities of faculty and students with regard to final exams is
The Academic Senate policy regarding final examinations is found here.
Announcements & Dates
Important Dates and Class Holidays:
September 25th: First lecture.
- Friday, October 9: Add deadline.
- Wednesday, October 21, Midterm I.
- Friday, October 23: Drop deadline.
- Wednesday, Nov 11: Veterans' Day.
- Friday, November 20, Midterm II.
- Thursday-Friday November 26-27: Thanksgiving Recess
-- No Class
- Wednesday, December 9: FINAL EXAM, 8:00-11:00
Interactive campus map .
FOR THE PRACTICE FINAL
Midterm I -
2007 - Solutions
- Midterm I -
- Midterm II -
Spring 2006 - Solutions
- Midterm II -
- Final - Spring
- Final - Winter
If you are having trouble with the homework or have questions about the
material, the best way to get help is to attend the office hours offered
by me and the teaching assistants. If you can't make the scheduled
times, then email us and we'll set up an appointment.
Additional help is given by
Tutoring ||A tutoring lab for Calculus
students will be open 10 to 12 hours daily Monday through Friday in APM
B402A. There will usually be at least 2 tutors and/or TAs available to
help with homework, calculators, and coursework. Take a look at the
schedule to see when it is open or when your favorite tutor or TA is
there. We strongly recommend that you make use of the Calculus Tutoring
| OASIS|| UCSD's Office of
Support and Intructional Services.|
Community ||An email directory and bulletin board designed as
resource to help students find study partners and communicate their
questions (and answers) about the subject.|
|Calc 101 || Automatic
|HotMath ||Online resource for
study mathematics offers advice for studying Mathematics.
Introduction. Probability density function.
Lecture 2: Probability density function, properties and examples.
Cummulative distribution function.
Lecture 3: I computed the cummulative distribution function
in one example. Median and mean. I showed how to compute the mean from the
probability density function.
Lecture 4: Mean: more examples. Normal distribution.
Lecture 5: Series. Geometric series. Examples.
Lecture 6: Taylor polynomials. Examples.
Lecture 7: 3D space: planes, spheres, cyllinders, cones.
Lecture 8: Functions of 2 variables and their graphs.
Cross-sections, level curves. Examples.
Lecture 9: Linear functions. Equation of planes.
Lecture 10: Vectors. Sums of vectors. Multiplication by scalars.
Lecture 11: More on vectors. Midterm review.
Lecture 12: Dot product. Dot product of perpendicular vectors is
0. Dot product and the angle between vectors. Planes through a point
normal to a given vector.
Lecture 13: Cross product. Definition. Cross product is
perpendicular to the two vectors. Direction given by the
right hand rule. Length is the
area of the parallelogram. Cross product and planes through 3 points.
Lecture 14: Partial derivaties. Rate of change. Geometric
interpretation. Qualitative study based on graphs and contour
Lecture 15: How to compute partial derivatives?
Lecture 16: Tangent planes to graphs. Linear approximation.
Lecture 17: Directional derivatives. The gradient. Directional
derivatives are given by dot product between gradinent and direction
vector. Maximal directional derivative in the direction of the gradient.
Gradient is normal to contour curves.
Lecture 18: Second order derivatives. Second order Taylor
Lecture 19: Chain rule and examples.
Lecture 20: Midterm review.
Lecture 21: Critical points are found by setting the derivatives
to 0. Local min/max are critical points. Second derivative test.
Lecture 22: Global min and max. Functions defined on compact sets.
I showed an example where to find the global min/max you need to check the
interior and the
Lecture 23: Lagrange multipliers. Examples.
Lecture 24: Lagrange multipliers and inequality constraints.
Review for the final.