DEPARTMENT OF PHYSICS AND MATHEMATICS
TENNESSEE STATE UNIVERSITY
COURSE SYLLABUS

MATH 1830:  Basic Calculus

INSTRUCTOR:        HANAN KUZAT

OFFICE:                 LRC BLDG, ROOM # 304                              PHONE:  615-963-1575                              

OFFICE HOURS:   MW: 12:00 - 1:00 PM

PREREQUISITES:  MATH 1110 (old 1010, older 111) or MATH 1710 (old 1040. older 161)

CONTENT / CATALOGUE DESCRIPTION:                                                
This course provides the student with the various techniques needed to apply the ideas of differential and integral calculus to situations in economics, business and social science.

GOALS and COMPETENCIES:                                                                                           
The aim of this course is to provide knowledge of fundamentals of calculus and its applications in business, economics and social science.  The student is expected to learn properties of functions with emphasis on exponential and logarithmic functions, limits, derivatives, max/min theory, integrals, definite integrals and applications. A comprehensive list of the common competencies is attached.

TEXT and COVERAGE:                                                                                                                         
 Tan, Calculus for Managers, Life and Social Sciences 6th ed. 
 Chapters 2, 3, 4, 5 and 6. (A list of recommended problems is attached

METHOD of INSTRUCTION:  Lecture/Discussion/ Hand Calculators/Mathematica

EXAMINATION DATES: Departmental Final Examination, Friday, May 7, 2004 10:10 a.m.-12:10 p.m.;  The Final will be based on the course common competencies and constitute 30% of the grade; No hand calculators, formula sheets, etc. may be used on the Final.  (Place to be announced) 

GRADING POLICY:  
             A: (90 –100) B: (80 – 89) C: (70 – 79) D: (60 – 69) F: (59 – Below) 
           Final Grade determination:  50%:  Chapter Tests Average
                                                30%:  Final Examination
                                                20%:  Quizzes, Homework, Attendance...etc
REMARKS:
            Chapter 1 is background material for MATH 1030.
            All quizzes will be given without any previous NOTICE

BIBLIOGRAPHY:
Hoffmann/Bradley, Brief Calculus with Applications, McGraw-Hill, 1993
Huffmann, Laurence D., Applied Calculus, McGraw-Hill, 1983
Schaum's Outline: Beginning Calculus
Taylor/Gilligan, Applied Calculus, Brooks/Cole, 2nd ed., 1989 

DEPARTMENT OF PHYSICS AND MATHEMATICS
TENNESSEE STATE UNIVERSITY
MATH 1830 (old 1030, older 113) COMMON COMPETENCIES

Upon successful completion of Math 1830, the student will be able to:
I. Applications:
            1. set up and solve problems using min/max theory.                                                 
            2. apply analytic graphing techniques (critical  points, inflection points,  increasing/decreasing, concavity, asymptotes) to sketch the 
                graph of a function.
            3. set and solve problems involving velocity and acceleration.
            4. apply marginal analysis to economic problems.
            5. compute the area of a region under a curve.
            6. find the line tangent to a curve at a given point.

  II. Definite Integral:
            1. evaluate a definite integral.
            2. find the derivative of a definite integral with a variable upper limit.

  III. Derivative:
            1. compute the derivative of a function from the definition of a derivative.
            2.  find the derivative using the power, product, quotient and chain rules.
            3. compute the derivative of logarithmic and exponential functions.
            4. compute the derivative of an implicitly defined function.
            5. find the derivatives of higher order.

  IV. Derivative Simplification:
           1. simplify the expression obtained from differentiation.

  V. Functions and Graphs:
           1. determine the range and domain.
           2. add, subtract, multiply, divide, compose, and invert functions (polynomial, rational, algebraic, exponential and logarithmic). 

VI. Integration:
            1. find an anti-derivative using the power rule.
          2. find an anti-derivative using the method of substitution.
          3. evaluate a definite integral. 

VII. Limits:
         1. evaluate one-sided and two-sided limits
         2. determine where a function is continuous (discontinuous). 
         3. recognize and evaluate indeterminate forms. 

VIII. Technology
        1. use the hand calculator and/or the software "mathematica" as an aide in problem solving.

  DEPARTMENT OF PHYSICS AND MATHEMATICS
TENNESSEE STATE UNIVERSITY
MATH 1830 (old 1030, older 113) WEEKLY PLAN 

I.             Functions
II.            Algebra of Functions
              Applications
III.           Limits
              One-sided Limits
              Test
IV.          Derivative        
              Slope and Velocity
V.          Sum, Product and Quotient Rules
VI.         Chain Rule, Higher Order Derivatives
              Implicit Differentiation
VII.         Marginal Analysis
              Test
VIII.        Logarithmic and Exponential Functions
              Derivatives of the Logarithmic and Exponential Functions
IX.         Analytic Curve Sketching        
X.          Analytic Curve Sketching
              Optimization
XI.         Marginal Analysis (revisited)
             Test
XII.        Anti Differentiation  
             u-Substitution
XIII.       the Definite Integral           
            Area under a Curve
XIV.     The Fundamental Theorem of Calculus          
XV.      Applications of the Definite Integral to Business
             Test

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