Math 10C - Calculus

General Information

Meeting Time	Mon., Wed., Fri., 11:00AM - 11:50AM
Location	WLH 2001
Instructor	Dragos Oprea Office: APM 6-101 Office Hours: W 3:30-5:30. Email: `doprea at math dot ucsd dot edu`
Course Assistants	John Foley Office: APM 6321 Office Hours: Thr 1-2pm, Calculus Lab (APM B 402A): Thursday 12-1. Email: `jfoley at math dot ucsd dot edu.` Section A01, APM B412, Th 2PM Section A02, APM B412, Th 3PM. Hooman Sherkat Office: 5412 Office Hours: Mon 10-11, Calculus Lab: Tue 12-1 Email:`hsherkat at math dot ucsd dot edu.` Section A03, APM 2301, Th 4PM. Section A04, APM 2301, Th 5PM. Jonathan Serencsa Office: APM 5720 Office Hours: Wed 12-1, Calculus Lab: Wed 10-11. Email:`jserencs at math dot ucsd dot edu.` Section A05, WLH 2206, Th 6PM. Section A06, WLH 2112, Th 7PM. Dan Budreau Office: 6333 Office Hours: Wed 1-3 Email: `dbudreau at math dot ucsd dot edu.` Section A07, APM 2301, Th 8PM. Section A08, APM 2301, Th 9PM.
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.
Grade Breakdown	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%.
Course Content	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.
Readings	Reading 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 is a very important part of the course and in order to fully master the topics it is essential that you work carefully on every assignment and try your best to complete every problem. We will have two different kinds of homework assignments in this class: online homework (which will be graded) and "paper-and-pen" homework (which will not be graded). The "paper-and-pen" homework assignments will be announced on the course homework page . These assignments will not be turned in and will not be graded; however, if you seek help from the instructor or TAs, they will usually do these problems, not the online homework problems. Online homework will be done through WileyPlus, a service hosted by the the publisher of our textbook. No homework assignment scores will be dropped at the end of the quarter. 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. There will be no makeup quizzes.
Midterm Exams	There will be two midterm exams given in class. The dates are January 29 and February 26. There will be no makeup exams. You are allowed to bring one sheet of notes (front only) fot the exams.
Final Exam	The final examination will be held on Monday, March 15, 11:30AM-2:30PM in Mandeville Auditorium. 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	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.
Administrative Links	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:

Monday, January 15: Martin Luther King Day.
Friday, January 29: Midterm I.
Friday, January 29: Drop deadline.
Monday, February 15: Presidents' Day.
February 26: Midterm II.
Friday, March 12: Last day of classes.
MONDAY MARCH 15: Final Exam, 11:30-2:30, Mandeville.

Interactive campus map .

Practice Exams

FINAL EXAM: 11:30-2:30 ON MONDAY, MARCH 15, MANDEVILLE AUD.

PRACTICE FINAL - SOLUTIONS
PRACTICE FINAL II - SOLUTIONS
Solutions to Midterm II Version 1 Version 2.
Practice Midterm II
Midterm II - Fall 2009 - Solutions
Midterm II - Fall 2007
Solutions to Midterm I Version 1 Version 2.
Midterm I from Fall 2009 - Solutions. The Winter 2010 Midterm I will only cover sections 8.7-12.4, so the first problem of this exam is not relevant for us.
Midterm I - Spring 2007 - Solutions
Midterm I - Winter 2007

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. Probablity density function.

Lecture 2: Probability density function. Interpretation. Cumulative distribution function. Examples.

Lecture 3: Median. Mean. Examples.

Lecture 4: Geometric series: infinite and finite. Examples.

Lecture 5: Taylor polynomials.

Lecture 6: 3D space. Distance in 3D. Functions of 2 variables and their graphs.

Lecture 7: Spheres, cylinders, paraboloids and cross sections.

Lecture 8: Level curves and contour diagrams. Contour diagrams need to have the level curves labeled by the level.

Lecture 9: Linear functions and planes. We need two slopes to write down the equation of the plane. We can see the two slopes as slopes of cross sections. Planes through 3 points.

Lecture 10: Midterm review. Started vectors, showed how to add vectors and multiply them by scalars.

Lecture 11: More on vectors. Length. Vectors of several components.

Lecture 12: Dot product. Perpendicular vectors have zero dot product. Angle between vectors can be computed by dot product. Vectors normal to a plane.

Lecture 13: Cross product. Cross product is perpendicular to two vectors. Cross product has length given by the area of the parallelogram spanned by the two vectors. Plane through 3 points.

Lecture 14: More on cross product. Derivatives.

Lecture 15: Computing partial derivatives.

Lecture 16: Tangent plane. Linear approximation. Differential.

Lecture 17: Directional derivative and gradient. Gradient is the direction of steepest increase. Gradient is normal to the level curves.

Lecture 18: Chain rule in several variables and examples.

Lecture 19: Second order derivatives. Order of differentiaton is not important. Taylor polynomials.

Lecture 20: Critical points. Local min and local max. Second derivative test. Saddle points.

Lecture 21: Compact sets. Functions defined on compact sets have a gloabl min and a global max.

Lecture 22: Functions on compact sets continued. Example of a function maximized/minimized over a rectangular boundary.

Lecture 23: Lagrange multipliers: gradient vectors are parallel at the min/max. Examples.

Math 10C - Calculus - Winter 2010