Office Hours: TR 9:15-10:30 a.m.

TA's: Amanda Curtis,  Ricardo Delgadillo,  Derek Smith,  and Michael Yoshizawa.

Math Lab: Monday-Friday, 12-5pm, South Hall 1607, TAs will be available to assist you.
CLAS: Three gropus meeting at 9, 2, and 3 MW

Teaching Assistants :

Textbook:  Single Variable Calculus: ET California Edition with Classic Problems, by Stewart, 6th 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 typically on Thursdays, and will be due on the next Thursday. We are going to be using WebWork ( http://homework.math.ucsb.edu/webwork2/Math3B-02-F11-Ceniceros/) to do the homework. You should have received an email 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 might be one or two handwritten assignments which you will have to hand in during class.

There will be a midterm on Thursday October 27th, 2011, and the final exam will be on Thursday December 8th, 2011, from 8-11a.m. Your final grade  for the course will be:
                                Final Grade = 20% Homework & Quizzes + 30% Midterm + 50% Final.
Note that you need to get above 50% in your final exam in order to pass this class. There will be no makeup exams.

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

Syllabus: During this course we will try to follow the following schedule:
 Week 1: Integrals (I).
      Section 4.10 Antiderivatives.
      Section 5.1 Areas and Distances.
      Section 5.2 The Definite Integral.
 Week 2: Integrals (II)
     Section 5.3 The Fundamental Theorem of Calculus.
     Section 5.4 Indefinite Integrals and the Net Change Theorem.
     Section 5.5 The Substitution Rule.
Week 3: Applications of Integration (I).
    Section 6.1 Areas Between Curves.
    Section 6.2 Volumes.
    Section 6.3 Volumes by Cylindrical Shells.
Week 4: Applications of Integration (II).
    Section 6.4 Work.
    Section 6.5 Average Value of a Function.
    Section 7.1Integration by Parts.
Week 5: Techniques of Integration (I) and Midterm
   Section 7.2 Trigonometric Integrals.
   Section 7.3 Trigonometric Substitutions.
   Midterm
Week 6: Techniques of Integration (II).
   Section 7.4 Integration of Rational Functions by Partial Fractions.
   Section 7.5 Strategy for Integration.
Week 7: Techniques of Integration (III).
   Section 7.7 Approximate Integration.
   Section 7.8 Improper Integrals.
   Section 8.1 Arc Length.
Week 8: Further Applications of Integration.
   Section 8.2 Area of a Surface of Revolution.
   Section 8.3 Applications to Physics and Engineering.
Week 9: Parametric Equations and Polar Coordinates.
   Section 10.1 Curves Defined by Parametric Equations.
   Section 10.2 Calculus with Parametric Curves.
   Section 10.4 Areas and Lengths in Polar Coordinates.
Week 10: Review.
    Section 10.5 Conic Sections.
    Review.
 
Topics for the Final
Integrals you Need to Know by Heart
Announcement: one 3x5 note card will be allowed during the final.