Introduction to Calculus and Analytic Geometry

Spring 2013


Instructor:   Dr. Seongchun (Michelle) Kwon
e-mail:   kwonseon at hotmail dot com
Office:   Miller Science Center 103-C
Office hours:   10:00- 11:00 AM on MWF and 3:00- 4:00 PM on TTR or by appointment
Class hours:   MWF 9:00 AM-9:50 AM, Miller Hall 112
Recitation:   W 12:00 PM-12:50 PM, Miller Hall 112



Text:    Calculus, 7th Edition ( ISBN 9780538497817 ), Authors: James Stewart, Publisher: Houghton Mifflin

Materials covered:    Review of algebra, limits, the derivative, differentiation of algebraic and trigonometric functions, applications of the derivative, extrema, and the antiderivative.



Final Exam:   April 30 (Tuesday)   8:00 10:00 AM




  • Syllabus;     Tentative Schedule
  • Suggested Problems
  • Lecture Note: Chapter 2.Derivatives( Printer friendly version), Chapter 3.Applications of Differentiation



     

                                          Progress, Problems and Solutions

    Date Progress Problems,Solutions
    Jan 9 W Introduction
    Jan 11 F Chapter 1. Functions and Limits: 1.1. Four ways to represent a function
    Jan 14 M 1.1. Four ways to represent a function, 1.2. Mathematical models: A catalog of essential functions
    Jan 16 W 1.2. Mathematical models: A catalog of essential functions, 1.3. New functions from old functions Group Quiz
    Jan 18 F 1.3. New functions from old functions, 1.4. The tangent and velocity problems
    Jan 23 W 1.4. The tangent and velocity problems, 1.5. The limit of a function Group Quiz
    Jan 25 F Class Cancelled due to inclement weather: Please work out the quiz problems and turn that in on Monday's class Quiz
    Jan 28 M 1.5. The limit of a function
    Jan 30 W 1.6. Calculating limits using the limit laws Group Quiz , Quiz
    Feb 1 F Class Cancelled due to inclement weather
    Feb 4 M 1.6. Calculating limits using the limit laws
    Feb 6 W 1.6. Calculating limits using the limit laws Group Quiz , Quiz
    Feb 8 F 1.8. Continuity
    Feb 11 M 1.8. Continuity
    Feb 13 W 1.8. Continuity, 2.1. Derivatives and rates of change Group Quiz ( Solution )
    Feb 15 F Exam 1 Exam 1 ( Range: Chapter 1 ) Solution
    Feb 18 M 2.1. Derivatives and rates of change
    Feb 20 W Finished 2.1. Derivatives and rates of change, Started 2.2. The derivative as a function Mini-Make-Up Exam 1
    Feb 22 F 2.2. The derivative as a function
    Feb 25 M 2.3. Differentiation Formula
    Feb 27 W 2.3. Differentiation Formula Group Quiz , Quiz , ( Solution )
    Mar 1 F Mid-Term day, No Class
    Mar 4 M 2.4. Derivatives of Trigonometric Functions, 2.5. The Chain rule
    Mar 6 W 2.5. The Chain rule, 2.6. Implicit Differentiation Group Quiz ( Please turn this in on Friday ), Quiz
    Mar 8 F 2.6. Implicit Differentiation and problem solving
    Mar 11, 13, and 15 Spring Break
    Mar 18 M 2.6. Implicit Differentiation
    Mar 20 W Chapter 3. Applications of differentiation, 3.1. Maximum and minimum values Review for the Exam ( Solution is at the end.) Derivative Formula ( You are to remember 1-18 clearly, except 9-12)
    Mar 22 F Exam 2( Chapter 2) Exam 2 ( Range: Chapter 2 ) Solution
    Mar 25 M 3.1. Maximum and minimum values
    Mar 27 W 3.2. The mean value theorem Mini-Make-Up Exam 2
    Mar 29 F Good Friday( No Class )
    April 1 M 3.3. How derivatives affect the shape of a graph:Focusing on the First derivative
    April 3 W 3.3. How derivatives affect the shape of a graph:Focusing on the Second derivative and concavity Group Quiz ( Solution )
    April 5 F Go over Group Quiz Quiz ( Solution )
    April 8 M Problem Solving Activity
    April 10 W 3.5. Summary of Curve Sketching Group Quiz ( Solution )
    April 12 F Continue to work on group quiz problems
    April 15 M Problem solving ( Problem #4 in April 10th group quiz )
    April 17 W 3.5. Summary of Curve Sketching( Limits of rational functions ) Group Quiz
    April 19 F Working on the problems on sketching curves Group Quiz
    April 22 M Exam 3 Part A
    April 24 W Exam 3 Part B
    April 26 F Inauguration Day( Class cancelled )
    April 30 T Final Comprehensive Exam: 8:00 10:00 AM Final Exam