LEMOYNE-OWEN COLLEGE
DIVISION OF NATURAL SCIENCE
MATHEMATICS AND COMPUTER SCIENCE
Syllabus for MATH 201 A
ANALYTICAL GEOMETRY AND CALCULUS I
Spring Semester, 2001
Pre-requisites:  MATH 145
Text:                                Calculus, by Larson, Hostetler and Edwards.  Sixth Edition.
                                         Hugton Miffin, 1998, ISBN 0-395-89920-6

Class Meeting:              MWF 07:40 p.m. to 08:50 a.m.,  GOH106

Instructor:                      Dr. John Harris, Ph.D.    Office:  GOH 100 A      Ph:  774-9090 x 411
                                          Office Hours:  Posted
Course Description:
        An introduction to calculus with associated analytic geometry.  Topics include limits, continuity, the derivative and differentiation of algebraic functions,  applications of the derivative, and indefinite and definite integrals.
Objectives:      (M) - Major.    (m)-minor

               1.  Use calculators, computers and other appropriate technologies and a variety of manipulative and visual materials to develop and 
                    mathematical concepts. (M)
               2.  Show and understanding of interrelationships within mathematics; connect mathematics to other disciplines and real-world 
                     situations.  (m)

                3.  Understand the concepts of limit, continuity, differentiation, integration, the fundamental theorem of calculus, and fundamentals theorem of   calculus and how they
                     relate to the calculus.  (M)

                4.  Use geometric models to develop spatial sense and reasoning and an understanding of geometric concepts and geometric relationships and their application.  (m)

                5.  Apply the concepts and techniques of calculus to analysis of functions and graphs of functions. (M)

                6.  Understand Euclidean and non-Euclidean geometry as mathematical systems and as examples of several geometry's, both form the synthetic and the analytic points of 
                     view. (m)

                7.  Apply mathematical methods in appropriate situations, such as in science. (m)

                8.  Apply mathematical techniques to solve real life problems.  (m)

                9.  Gain knowledge of the historical development, notation, and terminology of algebra's geometry, and the calculus, and their relation to what is taught in high school mathematics.  (m)
Course Outline:
Week                Sections              Topics
1-2



 
 
 
 

   PI-7   Preliminaries-Review
  •     Graphs and models
  •      Linear modeling
  •      Functions and graphs
  •      Data and models
  •      Trig 
3
  Exam 1
3-5
 
 
 

5

  Limits and Continuity
                1.1    Preview of Calculus
                1.2    Finding Limits
                1.3    Evaluating Limits
                1.4    Continuity and One Sided Limits
                1.5    Infinite Limits
  Exam 2
5-8
 
 
 
 

8

   Derivatives
                2.1     The Derivative and the Tangent Line
                2.2     Rules of Differentiation
                2.3     Derivative of Products, Quotients
                2.4     Chain Rule
                2.5     Implicit Differentiation
              2.6     Related Rates
  Exam 3 
8-11
 
 
 
 

11

   Applications of Differentiation
               3.1    Extreme Values on an Interval
               3.2    Rolle's Theorem and the Mean Value Theorem
               3.3    Shape of a Graph:  First Derivative Test
               3.4    Concavity and the Second Derivative
               3.5     Limits at Infinity
               3.6     Summary of Curve Sketching
               3.7     Optimization Applications
               3.9     Differentials
12-14

 

    Integration
               4.1     Anti-derivatives and Indefinite Integrals
               4.2     Area
  Exam 4
16
   Final Comprehensive Exam 5
Instructional Strategies:

                 Class instructions will consist of a combination of but not limited to lectures and various visual aids-i.e. chalkboards, graphics calculators.  Part of the period is spent on   lectures by the instructor, the rest of the students spend the period working on problems.
Course Requirements and Evaluation Procedures:

                 Five tests and a final comprehensive examination will be given.  There are no make-up tests except for a Valid document, for example, a note form a doctor.  Homework will be 
                 assigned frequently. Home work (HW) and board work can count up to ten (10) bonus points.  Keep all HW in a neat folder separate from the notes
The course grade will be calculated on the following distribution:
                    Tests (6)                           100%
                 HW plus Board Work        10% (Bonus)
Grades and attendance will be recorded and posted periodically.

     Grading Scale will be 90 to 100 A, 80 to 89 B,  70 to 79 C,  60 to 69 D,  below 60, F.
Attendance Policy:

                If as many as 3 classes can be missed without an excuse. The course average will be reduced by one point for each additional class missed without an excuse.
                Coaches or other faculty may excuse an absence from class  for legitimate college events.  Three tardies or leaving before (L) class ends will be 
                counted as one absence.  The roll will be called at the beginning of each class.  Students arriving late are responsible for having their names recorded on 
                the roll.

 
Technology:

                The students will utilize technology in this class and may electronically generate solutions to assignments. 
                The TI-83 graphing calculator is recommended and will be used.
Recommended Supplementary Readings:

Bradly and Smith, Calculus, Second Edition, Prentice Hall, 1999.

Edwards and Penny, Calculus, Fifth Edition, Prentice Hall, 1998.