Math 126

Calculus II

Spring, 2001

Syllabus


Links are to the homework assignments.

Chapter 5. Applications of integrals
5.6   Moments and centers of mass

Chapter 6. Transcendental Functions
6.1   Logarithms
6.2   Exponential functions
6.3   Derivatives of inverse trigonometric functions; integrals
6.4   First-order separable differential equations
6.5   Linear first-order differential equations
6.7   Hyperbolic functions

Chapter 7. Techniques of Integration, l'Hopital's Rule, and improper integrals
7.1   Basic integration formulas
7.2   Integration by parts
7.3   Partial fractions
7.4   Trigonometric substitutions
7.6   l'Hopital's Rule
7.7   Improper integrals

Chapter 8. Infinite Series
8.1   Limits of sequences of numbers
8.2   Subsequences, bounded sequences and Picard's Method
8.3   Infinite series
8.4   Series of nonnegative terms
8.5   Alternating series, absolute and conditional convergence
8.6   Power series
8.7   Taylor and Maclaurin series
8.8   Applications of power series

Chapter 9. Vectors in the Plane and Polar Functions
9.5   Polar coordinates and graphs
9.6   Calculus of polar curves



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