MATH
172 B
Calculus II
Fall, 2019
Main
Calendar
WebAssign
and
WebWork
(used less often)
Grading Codes
(see the
TAE document
for many algebra helps)
Course syllabus
:
SLOs
,
expectations
,
hw policies
,
grade calculation
,
accommodations & miscellaneous
Test solutions: Test 1 version
A
,
B
| Test 2 version
A
,
B
| Test 3 version
A
,
B
Week 14 Worksheets
Series review
: Numbers
3-5
,
7
,
10-11
14
Integration techniques review
: Numbers
4
,
5
,
6
Applications of integration review
Parametric and polar review
Professor Scofield's schedule
(see right margin)
Visualization
A
function plotter
Approximation methods for definite integrals
Variations on the theme
of Example 2, p. 342
Average value of a function
Volumes of revolution:
with approximating discs
and
without
simple regions bouded by 2 curves about a
horizontal axis
or a
vertical axis
via cylindrical shells
Simpson's rule
A
parametric curve plotter
, and
another
| an
animation of a cycloid
|
plotter of 3d curves
A
polar function plotter
Arc length for
functions of
x
, and for
parametric curves
The
centroid of a region
A function plotted with one of its
Taylor polynomials
A
series approximation of the natural log function
Partial sums of series
One
integral test app
, and
another
Understanding the Alternating Series Test with
App 1
or
App 2
Video resources
Differential calculus video library
Integral calculus video library
Calc II Video lectures by Ellie Blair Kennedy
(not officially connected to our course or text, but you may find a desired topic)
A nice video lecture on
an integral problem that requires completing the square
Integral calculus at Khan Academy
Additional resources
A page with
problem statements and worked solutions
from D.A. Kouba at UC-Davis
Integration techniques drills:
substitution
,
trigonometric substitution
,
by parts
,
partial fractions
,
trig integrands and reduction formulas
Practice in
improper integrals
Practice in
comparison tests for infinite series
Some Calculus notes from 2007
,
arranged by topic (don't trust section or page numbers!) written by your instructor
Technology Links
Sage: A
CoCalc
online computing |
SageMathCell
Wolfram Alpha
TI graphing calculator guidebooks:
83
|
83-Plus/Silver Ed.
|
84-Plus/Silver Ed.
|
85
|
86
|
89/92-Plus
|
89-Titanium