MATH 141
    
    COURSE DESCRIPTION: Calculus and Analytic Geometry II (4:4:0)
    Derivatives, integrals, applications; sequences and series;
    analytic geometry; polar coordinates.  Students may take only one
    course for credit from among MATH 141 and 141B.  During
    Spring and Fall semesters, the course is offered in 60 fifty 
    minute lectures, four per week; in the summer session it is 
    offered in 40 seventy-five minute lectures, five per week.

    
    PREREQUISITE: MATH 140, 140A or 140B.  Students who do not
    meet the prerequisite and who do not drop the course will be
    dis-enrolled.
    

                               TOPICS

   INVERSE FUNCTIONS
    Inverse Functions
    The Natural Logarithmic Function
    The Natural Exponential Function
    General Logarithmic and Exponential Functions
    Exponential Growth and Decay
    Inverse Trigonometric Functions
    Hyperbolic Functions
    Indeterminate Forms and l'Hospital's Rule


   TECHNIQUES OF INTEGRATION
    Integration by Parts
    Trigonometric Integrals
    Trigonometric Substitution
    Integration of Rational Functions by Partial Fractions
    Rationalizing Substitutions
    Strategy for Integration
    Using Tables of Integrals and Computer Algebra Systems
    Approximate Integration
    Improper Integrals
 
 
   FURTHER APPLICATIONS OF INTEGRATION
    Differential Equations
    Arc Length


   PARAMETRIC EQUATIONS AND POLAR COORDINATES
    Curves Defined by Parametric Equations
    Polar Coordinates
    Lengths in Polar Coordinates 


   INFINITE SEQUENCES AND SERIES
    Integral Test and Estimation of Sums
    Comparison Tests
    Alternating Series
    Absolute Convergence and the Ratio and Root Tests
    Strategy for Testing Series
    Power Series
    Taylor and Macluarin Series
    Applications of Taylor Polynomials


    (6/97)