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MATH 221 (Elementary Calculus II)


DESCRIPTION The second semester of an introduction to calculus for students in the biological, social and management sciences, and architecture.  Applications of calculus to these disciplines form an important part of the course.  Concrete calculations are emphasized and provide an opportunity to practice algebraic skills introduced in earlier courses. Credit will only be given for one of Math 141 and Math 221.
PREREQUISITES MATH 220 or MATH 140
TOPICS
Trigonometric Functions
     Radian measure of angles
     Sine and cosine and their derivatives
     Other trigonometric functions
Techniques of integration
     Substitution
     Integration by parts
     Evaluating definite integrals
     Approximations of definite integrals
     Improper integrals
     Applications of integration
Infinite Series
     Taylor polynomials
     Geometric series
     Taylor series
     Newton-Raphson Algorithm
Differential Equations
     Separation of variables
     Numerical solutions
     Qualitative theory
     Applications
Probability
     Random variables
     Expected value and variance
     Exponential and normal random variables
     Poisson and geometric random variables
Some computer work may be included in the course.
TEXT Text(s) typically used in this course.