Welcome to MAT 21A Calculus
Section 1, Fall 2011, CRN 69437


Instructor: Nam Lam

Office: MSB 3127

Office Hours:
  • Tuesday 10 - 11:30 AM
  • Wednesday 4:30 - 6:00 PM
  • and by appointment

Email:
Lectures will take place
  • MWF 2:10 - 3:00 PM in Olson 223
Discussion sections will take place
  • T 5:10 - 6:00 PM in Hoagland 168
Important Websites

Announcements

Final Exam

Course Info

  • Official Department Syllabus
  • Textbook: Thomas' Calculus: Early Transcendentals, 12th Edition, by Weir and Hass (Addison-Wesley)
  • We will cover Chapter 2, Chapter 3, and sections 4.1 - 4.7 of Chapter 4

Course Grade, Homework, Exams

Homework
Homework will be assigned and graded using the online homework tool WeBWorK. Except on exam weeks, weekly homework assignments will be due every Wednesday at 11:59 PM.

If you have not used WeBWorK before, look over the Getting Started Guide for Students for tutorials on how to log in, how to enter answers, and other important information on using WebWork.

Examinations
  • Exam 1 -- October 12
  • Exam 2 -- November 2
  • Exam 3 -- November 21
  • Final -- December 7, 8:00 - 10:00am

Course Grade
Your final grade will be computed in two ways. I will use the scheme that is most beneficial to you.

Exam 1 Exam 2 Exam 3 Final
20% 20% 20% 40%

or

Homework Best Two Exams Final
20% 20% each 40%


Course Materials

Lecture Notes Exams
Intuitive Definition of Limits
Formal Definition of Limits
Proofs of Limit Laws
One-Sided Limits and One-Sided Limits (continued)
Continuity
Infinite Limits and Limits at Infinity
Horizontal and Vertical Asymptotes

Intro to Derivatives
Differentiation Rules (with some proofs)
Derivatives of Trig Functions
Chain Rule
Speed, Velocity, Acceleration, Etc.
Implicit Differentiation
Related Rates
Speed Enforced By Aircraft Problem
Derivatives of Inverse Functions and Logarithms
Derivatives of Inverse Trig Functions
Linearization and Differentials (Part 1)
Linearization and Differentials (Part 2)

Extreme Values of Functions (Absolute Max/Min)
Rolle's Theorem and the Mean Value Theorem
Increasing/Decreasing Functions and Relative Max/Min
Concavity and Inflection Points
Optimization Problems and solutions
L'Hospital's Rule
Curve Sketching and solutions

 Exam 1 Review and solutions [version 2]
Exam 1 Solutions

Exam 2 Review and solutions
Exam 2 Solutions

Exam 3 Review and solutions
Percent Error Example from Review Session
Exam 3 Solutions

Final Exam Outline
Review Problems and solutions to the new problems

Final Exam Solutions

Suggested Homework Problems for Additional Practice

These problems will not be collected, but they represent types of problems that could be asked on exams.

Sec 3.1: 23, 24, 25, 26, 33, 34
Sec 3.2: 1-6, 27-31, 43-48, 53, 54, 58
Sec 3.3: 1-40, 45, 64, 67-70
Sec 3.5: 1-34, 39-44, 47-54, 57, 58, 59
Sec 3.6: 9-78, 85, 86, 87, 88, 93, 94, 95a
Sec 3.4: 1-13, 21
Sec 3.7: 1-16, 21, 25, 31-40, 49, 50, 52
Sec 3.10: 9, 23, 25, 31, 32, 33, 34, 42
Sec 3.8: 11-96
Sec 3.9: 21-42
Sec 3.11: 1-15, 51, 52, 54-57, 59, 60, 63, 64
Sec 4.1: 21-52
Sec 4.2: 18, 19, 21-28, 61-66, 68, 69, 73
Sec 4.3: 19-64, 76, 80