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)