Math 3B, Fall 2004
Calculus with Applications II
Tuesday & Thursday, 9:30-10:45am, NH 1006

Instructor:
Carlos J. García-Cervera.
South Hall, Room 6707.
Office Phone: (805) 893 3681.
Office Fax: (805) 893 2385.
Office Hours: Tuesday and Thursday 11:00am-12:30pm.
Solutions to the Final Exam available here

Teaching Assistants and Sections  
3B, 01, 01 28258 Ricardo Garza Tuesday 8:00 - 8:50am GIRV 2116
3B, 01, 02 28266 Ricardo Garza Tuesday 4:00 - 4:50pm TRAIL 940
3B, 01, 03 28274 Jarrod L. Pickens Tuesday 5:00 - 5:50pm GIRV 2129
3B, 01, 04 28282 Jarrod L. Pickens Tuesday 6:00 - 6:50pm GIRV 2108
3B, 01, 05 28290 Jarrod L. Pickens Tuesday 7:00 - 7:50pm GIRV 1115

Math Lab: Monday-Friday, 12-5pm, South Hall 1607, TAs will be available to assist you.

Textbook: Single Variable Calculus, Early Transcendentals, by Stewart, 5th edition.

Course description: This is the second part in the introduction to Single Variable Calculus. In this course we will cover Integration and parametric curves.

Prerequisites: Math 3A.

Assignments and grading: Homework will be assigned on Thursdays, and will be due on the next Thursday. This quarter we are going to be using WebWork to do the homework. You should have received an email from me with your password for WebWork. If you have not received such an email, please come see me during office hours. Please, learn how to use it as soon as possible. In addition to WebWork, there will be one or two handwritten assignments which you will have to hand in during class.

There will be a midterm on Thursday October 28th, 2004, and the final exam will be on Tuesday December 7th, 2004, from 7:30-10:30pm. Your final grade for the course will be best of the two following schemes:

Scheme I: Final Grade = 20% Homework + 30% Midterm + 50% Final.
Scheme II: Final Grade = 20% Homework + 0% Midterm + 80% Final.

Discussion Sessions: Attending the discussion sessions in required, and a quiz will be given almost every week by the Teaching Assistant.

Syllabus: (Available also in pdf). During this course we will try to follow the following schedule. However, much like everything said earlier, this is subject to change.

Week 1: Integrals (I).
§4.10 Antiderivatives.
§5.1 Areas and Distances.
§5.2 The Definite Integral.
Week 2: Integrals (II).
§5.3 The Fundamental Theorem of Calculus.
§5.4 Indefinite Integrals and the Net Change Theorem.
§5.5 The Substitution Rule.
Week 3: Applications of Integration (I).
§6.1 Areas Between Curves.
§6.2 Volumes.
§6.3 Volumes by Cylindrical Shells.
Week 4: Applications of Integration (II).
§6.4 Work.
§6.5 Average Value of a Function.
§7.1 Integration by Parts.
Week 5: Midterm & Techniques of Integration (I).
Midterm: Thursday, October 28th.
§7.2 Trigonometric Integrals.
§7.3 Trigonometric Substitutions.
Week 6: Techniques of Integration (II).
§7.4 Integration of Rational Functions by Partial Fractions.
§7.5 Strategy for Integration.
Week 7: Techniques of Integration (III).
§7.7 Approximate Integration.
§7.8 Improper Integrals.
§8.1 Arc Length.
Week 8: Further Applications of Integration.
§8.2 Area of a Surface of Revolution.
§8.3 Applications to Physics and Engineering.
Week 9: Parametric Equations and Polar Coordinates.
§10.1 Curves Defined by Parametric Equations.
§10.2 Calculus with Parametric Curves.
§10.4 Areas and Lengths in Polar Coordinates.
Week 10: Review.
§10.5 Conic Sections.
Review

Carlos J. Garcia-Cervera
Last modified: Fri Sep 24 11:37:11 PDT 2004