Description

Continuation of MATH 140, including most topics from Chapters 6-10 in the same text as the MATH 140 text. Note: Credit will only be given for one of Math 141 and Math 121.

Prerequisites

MATH 140 or equivalent.

Topics

COMPLEX NUMBERS AND SERIES:

Notes by M. Boyle (with exercises) in pdf format
Two page summary in pdf format
Notes by D.H. Hamilton (with exercises) in pdf format

SIMPSON'S AND TRAPEZOIDAL RULE PROGRAM, FOR:

TI-81
TI-82
TI-83
TI-85/86
TI-89

P-SERIES AND SUMMATION PROGRAM, FOR:

TI-81/82/83
TI-85/86
TI-89

Applications of the Integral

Volume
Length of a curve
Area of a surface
Work
Moments and centers of gravity
Parametrized curves, and lengths of curves given parametrically

Inverse Functions, l'Hôpital's Rule, and Differential Equations

Inverse functions
Exponential and logarithmic functions,
L'Hôpital's rule
Introduction to differential equations

Techniques of Integration

Techniques of integration, including integration by parts, trigonometric
substitutions, and partial fractions
Trapezoidal and Simpson's rules
Improper integrals

Sequences and Series

Sequences and convergence of sequences
Infinite series and convergence tests for series
Taylor polynomials and Taylor series
Complex numbers and series

Curves in the Plane

Polar coordinates, and length and area in polar coordinates