MATH 141 (Calculus II)
Updated September 30, 2005
| 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 221.
|
| PREREQUISITES |
MATH 140 or equivalent.
|
| TOPICS |
VI. 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
VII. Inverse Functions, l'Hôpital's
Rule, and Differential Equations
Inverse functions
Exponential and logarithmic functions,
L'Hôpital's rule
Introduction to differential equations
VIII. Techniques of Integration
Techniques of integration, including integration by
parts, trigonometric
substitutions, and partial fractions
Trapezoidal and Simpson's rules
Improper integrals
IX. Sequences and Series
Sequences and convergence of sequences
Infinite series and convergence tests for series
Taylor polynomials and Taylor
series
Complex numbers and series
X. Curves in the Plane.
Polar coordinates, and length and area in polar
coordinates
|
| TEXT |
Text(s)
typically used in this course.
[Note: Typically the course would cover Chapters 6-10 in the 6th
edition of
Ellis and
Gulick, except 6.6, 7.4, 8.5, 9.10, and 10.3-5, along
with the material in the complex variables handout on the
Math 141 course page.]
|
|
