Welcome to the Mathematics Department at UCSB

Calculus with Applications I

Math 3A - Winter 2005

You can download the Review Sheet for the Final Exam HERE.

The Classroom for the Final Exam will be CHEM 1179 (see below for more details regarding the final exam).
You need to have a Photo ID in order to take the Final Exam.

You can download the Solutions for the Second Midterm HERE.

Instructor: Paolo Cascini

Teaching Assistants:   Cliff Nelson and Eric Lichtenstein

Lectures: MWF 1:00 - 1:50pm - Girv 1004.
Please check GOLD for the time and location of your discussion section. Note that attendance at a discussion section is mandatory.

Course Description: Differential calculus including analytic geometry, functions, limits, derivatives, techniques and applications of differentiation, logarithmic and trigonometric functions. See the Class Schedule below for more details.

Prerequisites: Minimum Score of 32 on the Algebra Diagnostic Test. Not open for credit to students who have received Advanced Placement credit in calculus.

Office Hours: Mon. 2:30-4:30pm, Wed. 3:30-4:30pm and by appointment.

Textbook: Calculus (fifth edition), Stewart.

Please read the list of Frequently Asked Questions, before joining the Waiting List.

CLAS offers FREE group tutorial for math 3A. There are two groups at the moment (possibly 3 if more students are interested): MW at 2pm, and TR at 11am. Interested students must sign up for one of these two groups at CLAS building 477 as soon as possible since space is limited. CLAS also offers individual tutoring from Monday thru Thursday 10am to 10pm, and Friday 10am to 2pm. Students don't need to sign up for this service, just walk in and ask for help.

Grading: Homework 15%, Quizzes 20%, Midterms 25%, Final Exam 40%.

Books, notes, calculators, scratch paper or collaboration will NOT be permitted on any of the exams or quizzes.

Midterms: There will be two midterms given in class (Jan. 26 and Feb. 23). Only the highest score within the two midterms will be counted for the final grade. There will be NO make-up exam for any of the midterms.

Quizzes: There will be three quizzes given in class (see Class Schedule below). Only the two highest scores will be counted for the final grade. There will be NO make-up date for any of the quizzes.

Homeworks: There will be a problem set each week, assigned in WebWork. I will send everyone the login and password to access the server by Tuesday Jan. 4. Please check your e-mail on that date. The first problem set (set 0) is designed to acquaint you with using WeBWorK. Your score on this set will not be counted toward your final grade. Please contact your Teaching Assistant for any question or concern regarding the use of WebWork. NO late womeworks will be accepted, but you are allowed to skip one homework set. The use of a calculator is allowed during the preparation of the homeworks.

Final Exam: The final exam will be held on Monday, March 14 from 7:30 to 10:30pm in CHEM 1179 (please note that the Classroom for the final exam is different than the room for the lecture). The exam will cover all the material of the entire course. An incomplete may be assigned only for documented medical reasons. You might be eligible for a make-up exam only if you have three exams during the same day and you inform me at least 2 weeks before the exam.

M 1/03 W 1/05 F 1/07 M 1/10 W 1/12 F 1/14 W 1/19 F 1/21 M 1/24 W 1/26 F 1/28 M 1/31 W 2/01 F 2/04 M 2/07 W 2/09 F 2/11 M 2/14 W 2/16 F 2/18 W 2/23 F 2/25 M 2/28 W 3/02 F 3/04 M 3/07 W 3/09 F 3/11

Tentative Class Schedule

(Subject to change)
    Date         Reading     Topics
Ch. 1.1-4 Introduction
Ch. 1.5 Exponential Functions
Ch. 1.6 Inverse Functions and Logarithms  
Ch. 2.1-2 Limit of a Function - Introduction
Ch. 2.3 Calculating Limits
Ch. 2.4-5 Continuous Functions   +   Quiz
M 1/17   Martin Luther King, Jr. holiday
Ch. 2.6 Limits at Infinity; Horizontal Asymptotes
Ch.2.7 Rates of Change; Velocity
  First Midterm
Ch. 2.8-9 Derivative of a Function - Introduction
Ch. 3.1 Derivatives of Polynomials and Exponential Functions
Ch. 3.2-3 Product and Quotient Rule
Ch. 3.4 Derivatives of Trigonometric Functions
Ch. 3.5 Chain Rule
Ch. 3.6 Implicit Differentiation   +   Quiz
Ch. 3.7-8 Higher Derivatives and Derivatives of Logarithmic Functions
Ch.3.9-3.10 Hyperbolic Functions and Related Rates
Ch. 3.11 Linear Approximations
M 2/21   Presidents' Day holiday
  Second Midterm
Ch. 4.1 Maximum and Minimum Values
Ch. 4.2 Mean Value Theorem
Ch. 4.3 Graph of a Function
Ch. 4.4 L'Hospistal's Rule
Ch. 4.5 Curve Sketching
Ch. 4.6-7 Optimization Problem   +   Quiz

Department of Mathematics, South Hall. Room 6607 University of California Santa Barbara, CA 93016, phone (805) 893-2171, fax (805) 893-2385, 
email www.ucsb.edu, office hours m-f 8-12, 1-4