Introduction to Calculus and Analytic Geometry

Fall 2013


Instructor:   Dr. Seongchun (Michelle) Kwon
e-mail:   kwonseon at hotmail dot com
Office:   Miller Science Center 103 C(For the first week), Nursing and Health Sciences 133
Office hours:   2:00 - 3:00 PM on MW and 1:30 3:00 PM on TTR or by appointment
Class hours:   MWF 12:00 PM-12:50 PM, Nursing and Health Sciences, 162
Recitation:   F 2:00 PM-2:50 PM, Nursing and Health Sciences, 162



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:   December 9 ( Monday ): 10:15 12:15



Bluegrass Undergraduate Mathematics Symposium: September 28, 2013 at Centre College



  • Syllabus;     Tentative Schedule
  • Suggested Problems
  • Lecture Note: 1.1. function ,   1.2. Mathematical Models ,   1.3. New Functions from Old Functions,   1.4. The Tangent and Velocity Problems,   1.5. The Limit of a Function ,   1.6. Calculating Limits Using the Limit Laws ,   1.8.Continuity ,   Chapter 2. Derivatives   Chapter 3.   Applications of Differentiation
  • Precalculus / College Algebra by Carl Stitz, Jeff Zeager: Please refer to this open text book if you need to review the pre-requisite materials. Click on `read now' to read the book.

  • Trigonometry Resource Site: If you need to review the trigonometry....



     

                                          Progress, Problems and Solutions

    Date Progress Problems,Solutions
    Aug 28(W) Introduction
    Aug 30(F) 1.1. Function
    Sep 2(M) 1.1. Function
    Sep 4 (W) 1.2. Mathematical Models
    Sep 6 (F) 1.3. New Functions from Old Functions Quiz; Open Resource Quiz
    Sep 9 (M) 1.4. The Tangent and Velocity Problems
    Sep 11 (W) 1.5. The Limit of a Function
    Sep 13 (F) 1.5. The Limit of a Function, 1.6. Calculating Limits Using the Limit Laws Quiz; Open Resource Quiz
    Sep 16 (M) 1.6. Calculating Limits Using the Limit Laws
    Sep 18 (W) 1.6. Calculating Limits Using the Limit Laws
    Sep 20 (F) 1.8.Continuity Quiz; Open Resource Quiz
    Sep 23 (M) 2.1.Derivatives and Rates of Change
    Sep 25 (W) Exam 1 ( Range: Chapter 1 ):
    Problems will be very similar to the examples in the lecture note or quiz( closedbook and open resource ) problems.
    Exam 1( Leigh 's Solution, Solution )
    Sep 27 (F) 2.1.Derivatives and Rates of Change
    Sep 30 (M) 2.2. The derivative as a function Mini-Make-Up Exam
    Oct 2 (W) 2.2. The derivative as a function, 2.3. Differentiation Formula
    Oct 4 (F) 2.3. Differentiation Formula Open Resource Quiz
    Oct 7 (M) 2.4. Derivatives of Trigonometric Functions
    Oct 9 (W) 2.5. The Chain rule, 2.6. Implicit Differentiation
    Oct 11 (F) 2.6. Implicit Differentiation and Problem Solving Open Resource Quiz, Quiz
    Oct 14 (M) Review for the Exam 2
    Oct 16 (W) Exam 2 Exam 2( Billy's Solution )
    Oct 18 (F) Fall Break
    Oct 21 Week Post Exam Review:
    Part 1: Please review the Exam 1. I will choose 3 problems from the Exam 1 for the first mini-make-up exam( 15 points ).
    Part 2: Please watch one video clip each day and master it. I will choose 3 problems in the following video clips and give the 2nd part of the mini-make-up exam( 15 points ).
    The Product Rule of Differentiation (Introduction)
    The Quotient Rule
    The Chain Rule: Part 1 of 2
    The Chain Rule: Part 2 of 2
    Implicit Differentiation
    The Derivative of Sine and Cosine
    Oct 21 (M) Exam 1 Review a (Group Study):
    Group 1(Michael, Trey, and Christopher), Group 2(Billy, Aaron, Kayla and Justin), Group 3(Julia, Heather, and Briana), Group 4( Leigh, Hannah, and Sandra)
    Oct 23 (W) Exam 1 Review b
    Problem solving activity. Please watch the first 3 video clips before you come to the class.
    Mini-Make-Up Part 1 ( 15 pt )
    Oct 25 (F) Problem solving activity. Please watch the second 3 video clips before you come to the class. Mini-Make-Up Part 2( 15 pt )
    Oct 28 (M) 3.1. Maximum and minimum values
    Oct 30 (W) 3.1. Maximum and minimum values, 3.2. The mean value theorem
    Nov 1 (F) 3.2. The mean value theorem, 3.3. How derivatives affect the shape of a graph:Focusing on the First derivative Open Resource Quiz
    Nov 4 (M) 3.3. How derivatives affect the shape of a graph:Focusing on the First derivative
    Nov 6 (W) 3.3. How derivatives affect the shape of a graph:Focusing on the Second derivative and concavity
    Nov 8 (F) 3.3. How derivatives affect the shape of a graph Open Resource Quiz
    Nov 11 (M) 3.3. How derivatives affect the shape of a graph Open Resource Quiz
    Nov 13 (W) 3.3. How derivatives affect the shape of a graph Continued with the Nov 11's open resource quiz
    Nov 15 (F) 3.3. How derivatives affect the shape of a graph
    3.4. Limits at infinity, horizontal asymptotes
    Pages covered in the Powerpoint: p51, p76-78, p82-84
    Lecture Note (for sports team members): Examples here will be very similar to the exam problems.
    Open Resource Quiz: This is the part of the review for the exam.
    Nov 18 (M) Review for the Exam
    Exam Preparation Tips: Master Open Resource Quiz Problems in the exam range. However, the quiz on November 11 may be skipped.
    Mean Value Theorem ( content with the pictorial explanation ) will appear in the exam.
    Open Resource Quiz ( Solution )
    Nov 20 (W) Exam 3a Exam 3a( Leigh's Solution )
    Nov 22 (F) Exam 3b: Exam will take place at the library lab. Exam 3b( Leigh's Solution )
    Nov 25(M) 3.9. Anti-Derivative Mini-Make-Up Exam
    Nov 27(W) Thanks Giving
    Nov 29(F) Thanks Giving
    Dec 2(M) 3.8. Newton's Method
    Dec 4(W) Review for the final Open Resource Quiz ( Solution )
    Dec 6(F) Self-Review for the Final
    Dec 9(M) Final Exam (Comprehensive Exam) : 10:15 12:15