Math 10C - Calculus - Fall 2009

| General Info | Calendar | Announcements | Additional Help | Homework | Practice Exams | Lecture Summaries|

General Information

Meeting TimeMon., Wed., Fri., 9:00 - 9:50
Location Pepper Canyon Hall 109
Instructor Dragos Oprea
Erik Carl
  • Office: 6446
  • Office Hours: M & Tu 5-6.
  • Email: ecarl at math dot ucsd dot edu.
  • Section A01, WLH 2115, Th 3PM
  • Section A02, WLH 2115, Th 4PM.
  • Section A03, WLH 2115, Th 5PM.
  • Section A04, WLH 2115, Th 6PM.
Mark Tiefenbruck
Textbook 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 reserve in the library. We will cover parts of Chapters 8,9, 10, 12-15 of the text.

The grade is computed as the best of the following weighed averages:
  • Quizzes 15%, Midterm I 20%, Midterm II 20%, Final Exam 45%.
  • Quizzes 15%, Midterm I 15 %, Midterm II 15%, Final Exam 55%.
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 better.
ReadingsReading the sections of the textbook corresponding to 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 Lab.

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 homework page 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.

QuizzesThere 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. There will be no makeup quizzes.

There will be two midterm exams given in 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 examination.
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 the discussion 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 will not be considered once the quiz or exam leaves the room.
  • If you disagree with the TA's answer to your regrade request, you may ask 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 forward it to the instructor.
    • Instructor review requests will not be considered once the quiz or exam leaves the room.
  • If you do not retrieve your quiz or exam during discussion section, you 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 the university.
An outline of the responsibilities of faculty and students with regard to final exams is found here .

The Academic Senate policy regarding final examinations is found here.

Announcements & Dates

Important Dates and Class Holidays:
  • Friday, 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 am.

Interactive campus map .

Midterm 1 solutions

Midterm 2 solutions

Practice Exams

Additional Help

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

Calculus 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 Lab.
OASIS UCSD's Office of Academic Support and Intructional Services.
Calculus Community An email directory and bulletin board designed as a resource to help students find study partners and communicate their questions (and answers) about the subject.
Calc 101 Automatic Calculus Derivatives and Integrals.
HotMath Online resource for homework solutions.

How to study mathematics offers advice for studying Mathematics.

Lecture Summaries

Lecture 1: 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. Components.

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 diagrams.

Lecture 15: How to compute partial derivatives?

Lecture 16: Tangent planes to graphs. Linear approximation. Differentials.

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 polynomials.

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 boudnary.

Lecture 23: Lagrange multipliers. Examples.

Lecture 24: Lagrange multipliers and inequality constraints. Review for the final.