Intermediate Calculus & Analytic Geometry ( MATH 242 A)

Fall 2012


Instructor:   Dr. Seongchun (Michelle) Kwon
e-mail:   kwonseon at hotmail dot com
Office:   Miller Science Center 103-C
Office hours:   2:00- 3:00 PM on MWF and 3:00- 4:00 PM on TTR or by appointment
class hours:   MWF 1:00 PM-1:50 PM at SAC 3106
Recitation:   R 12:00 PM-12:50 PM at Miller Science Center 103-C



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

Materials covered:    The integral, applications of the integral, logarithmic and exponential functions, trigonometric functions, hyperbolic functions, techniques of integration L'Hospital's Rule and indeterminate forms, and improper integrals.



Final Exam:  December 3 (Monday)   3:15 Ė 5:15 PM




  • Syllabus ;     Tentative Schedule
  • Suggested Problems



     

                                          Progress, Problems and Solutions

    Date Progress Problems,Solutions
    Aug 22 W Introduction
    Aug 24 F 4.1. Areas and Distances
    Aug 27 M 4.2. The Definite Integral
    Aug 29 W 4.2. The Definite Integral, 4.3. Fundamental Theorem of Calculus
    Aug 30 TR Group Quiz Group Quiz
    Aug 31 F Closedbook Quiz, 4.3.Fundamental Theorem of Calculus Quiz
    Sep 5 W 4.3. Fundamental Theorem of Calculus, 4.4. Indefinite Integrals and the Net Change Theorem
    Sep 6 TR Quiz Quiz , Group Quiz
    Sep 7 F 4.5. The Substitution Rule
    Sep 10 M 4.5. The Substitution Rule( with definite integral), 5.1. Areas Between Curves
    Sep 12 W 5.1. Areas Between Curves, 5.2. Volumes
    Sep 13 TR Quiz Quiz , Group Quiz
    Sep 14 F 5.3. Volumes by Cylindrical Shells, 5.5. Average Value of a Function
    Sep 17 M 6.1. Inverse Functions
    Sep 19 W Review for the exam Review Problems
    Sep 20 TR Exam 1
    Sep 21 F Exam 1( Continued) Exam ( Solution )
    Sep 24 M 6.2. Exponential Functions and Their Derivatives
    Sep 26 W Mini-Make-Up Exam 1, 6.3. Logarithmic Functions Mini-Make-Up Exam 1
    Sep 27 TR Quiz Quiz , Group Quiz
    Sep 28 F 6.4. Derivatives of Logarithmic Functions
    Oct 1 M 6.4. Derivatives of Logarithmic Functions
    Oct 3 W 6.4. Derivatives of Logarithmic Functions( e as a limit), Group quiz Group Quiz
    Oct 5 F Fall Break
    Oct 8 M 6.8. Indeterminate Forms and LíHospitalís Rule
    Oct 10 W 6.8. Indeterminate Forms and LíHospitalís Rule, 7.1. Integration by Parts
    Oct 11 TR Quiz Quiz , Group Quiz
    Oct 12 F 7.1. Integration by Parts, 7.2. Trigonometric Integrals
    Oct 15 M 7.2. Trigonometric Integrals
    Oct 17 W 7.2. Trigonometric Integrals, 7.3. Trigonometric Substitution
    Oct 18 TR Quiz Group Quiz
    Oct 22 M 7.3. Trigonometric Substitution, Quiz
    Oct 24 W 7.4. Integration of Rational Functions by Partial Fractions
    Oct 25 TR Quiz Group Quiz
    Oct 26 F 7.8. Improper Integrals, Review for the Exam Review for the exam
    Oct 29 M Exam 2 a( 6.1.Inverse function - 7.1. Integration by Parts )
    Oct 31 W Exam 2 b ( 7.1. Integration by Parts - 7.4.Integration of Rational Functions by Partial Fractions) Exam ( Solution )
    Nov 2 F 7.8. Improper Integrals( Comparison Theorem), Mini-Make-Up Exam Mini-Make-Up Exam 2
    Nov 5 M 7.8. Improper Integrals( Comparison Theorem), 8.1. Arc Length
    Nov 7 W 8.1. Arc Length
    Nov 8 TR Group quiz Group Quiz
    Nov 9 F Group quiz(Continued), Closedbook Quiz Quiz
    Nov 12 M 8.1. Arc Length
    Nov 14 W 10.1. Curves Defined by Parametric Equations
    Nov 15 TR Quiz Quiz , Group Quiz
    Nov 16 F 10.2. Calculus with Parametric Curves
    Nov 19 M 10.3. Polar Coordinates
    Nov 21 W Thanks Giving Holiday
    Nov 22 TR Thanks Giving Holiday
    Nov 23 F Thanks Giving Holiday
    Nov 26 M 10.3. Polar Coordinates ( Graphing Cardioid )
    Nov 28 W 10.3. Polar Coordinates ( Analyzing singularity Cardioid )
    Nov 30 F Review for the final: You will focus on the past exams, lecture note, problems I emphasized and quizzes( especially, the materials covered in November). I will be in my office during the class hour as well as my office hour. Please stop by if you have any question.
    Dec 3 M Final Exam ( 3:15 - 5:15 ) Final Exam ( Solution )