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 with a C- or better, or Math130 with a B- or better.
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:
P-SERIES AND SUMMATION PROGRAM, FOR:
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