Welcome to the Mathematics Department at UCSB

Calculus with Applications I

Math 3A - Fall 2005

There will be NO class on Friday Dec. 2. Instead there will be a make-up class on Monday Dec. 5 from 2 to 4pm at CHEM 1171.

The Classroom for the Final Exam will be CHEM 1171 (see below for more details regarding the final exam).
You need to have a Photo ID in order to take the Final Exam.

Instructor: Paolo Cascini

Teaching Assistants: Ricardo M Garza and Jarrod L Pickens

Lectures: MWF 8:00 - 8:50am - ENGR I 1104
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. 9:00-10:00am, Wed. 9:00-11:00am and by appointment.

Textbook: Calculus (fifth edition), Stewart.

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

Grading: Homework & Quizzes 15%, Midterms 35%, Final Exam 50%.

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 on Oct. 14 and Nov. 9. 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 during discussion section. 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 Monday Sep. 26. 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 homeworks 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 Tuesday, December 6 from 7:30 to 10:30pm. Please note that the Classroom for the final exam is different than the room for the lecture (it will be announced here, as soon as it is available). The exam will cover all the material of the entire course. An incomplete may be assigned only for documented medical reasons.

Tentative Class Schedule

(Subject to change)
Date Reading Topics
F 9/23 Ch. 1.1-4 Introduction
M 9/26 Ch. 1.5 Exponential Functions
W 9/28 Ch. 1.6 Inverse Functions and Logarithms  
F 9/30 Ch. 2.1-2 Limit of a Function - Introduction
M 10/3 Ch. 2.3 Calculating Limits
W 10/5 Ch. 2.4-5 Continuous Functions
F 10/7 Ch. 2.6 Limits at Infinity; Horizontal Asymptotes
M 10/10 Ch.2.7 Rates of Change; Velocity
W 10/12   Review
F 10/14   First Midterm: Solutions
M 10/17 Ch. 2.8-9 Derivative of a Function - Introduction
W 10/19 Ch. 3.1 Derivatives of Polynomials and Exponential Functions
F 10/21 Ch. 3.2-3 Product and Quotient Rule
M 10/24 Ch. 3.4 Derivatives of Trigonometric Functions
W 10/26 Ch. 3.5 Chain Rule
F 10/28 Ch. 3.6 Implicit Differentiation
M 10/31 Ch. 3.7-8 Higher Derivatives and Derivatives of Logarithmic Functions
W 11/2 Ch.3.9-3.10 Hyperbolic Functions and Related Rates
F 11/4 Ch. 3.11 Linear Approximations
M 11/7   Review
W 11/9   Second Midterm
F 11/11   Veterans Day Holiday
M 11/14 Ch. 4.1 Maximum and Minimum Values
W 11/16 Ch. 4.2 Mean Value Theorem
F 11/18 Ch. 4.3 Graph of a Function
M 11/21 Ch. 4.4 L'Hôpital's Rule
W 11/23 Ch. 4.5 Curve Sketching
F 11/25   Thanksgiving Holiday
M 11/28 Ch. 4.6-7 Optimization Problem
W 11/30   Review
F 12/2    

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