Calculus II
Calendar
This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any apocalyptic events that may occur during the semester .
1:
Wednesday
Introduction
Assign groups ~number off
Syllabus game
WeBWorK student demonstration
review integration rules
Book exercises (ungraded): 5.3 - 17, 24, 47
Book exercises (ungraded): 5.4 - 15, 23, 37, 43
Thursday
Review
review substitution
Book exercises (ungraded): 5.5 - 25
Book exercises (ungraded): 5.6 - 1
Book exercises (ungraded): 5.7 - 7, 12, 19, 21
Friday
Area between two curves
find intersections, y-Axis
Book exercises (ungraded): 6.1 - 1, 4 (answer: 128), 25
2:
Monday
volume with cross sections
identify cross sectional area
6.2.4 (answer: 24)
Book exercises (ungraded): 6.2 - 11, 13
Wednesday
density and average value
Book exercises (ungraded): 6.2 - 27, 43, 49
Thursday
Group quiz
Friday
volumes of revolution (horizontal lines)
3:
Monday
volumes of revolution (vertical lines)
Wednesday
shell method
shells: y-axis
Book exercises (ungraded): 6.4 - 7, 15
Thursday
Group quiz
Friday
integration by parts
4:
Monday
trigonometric integrals
finish worksheet
start trig substitutions
Book exercises (ungraded): 7.2 - 5
Wednesday
trigonometric integrals
finish trig substitutions
Book exercises (ungraded): 7.2 - 11, 29
work and energy
lifting layers
Book exercises (ungraded): 6.5 - 1, 11
Thursday
Review
Friday
Exam 1
one page of notes (one-sided, handwritten)
approved calculators
5:
Monday
trigonometric substitution
sqrt(a^2 - x^2), sqrt(x^2 + a^2)
Book exercises (ungraded): 7.3 - 5
Wednesday
trigonometric substitution
sqrt(x^2 - a^2)
Book exercises (ungraded): 7.3 - 9, 11
partial fractions
specifics
Book exercises (ungraded): 7.5 - 33
Thursday
Group quiz
Friday
partial fractions
linear factors,
Book exercises (ungraded): 7.5 - 5, 9, 15, 29, 37
6:
Monday
strategies for integration
worksheet
Book exercises (ungraded): 7.6 - 19, 29
Wednesday
review limits at infinity from Calculus I
improper integrals
infinity and unbounded
Book exercises (ungraded): 7.7 - 5, 11, 15, 21, 61, 63
Thursday
Group quiz
Friday
numeric integration
midpoint, trapezoid, Simpson's rule
Book exercises (ungraded): 7.9 - 1, 13
7:
Monday
arc length
arc length: relationship to distance, Desmos , WolframAlpha
Book exercises (ungraded): 8.1 - 7, 11, 13, 15
Wednesday
surface area
surface area: relationship to truncated cone
Book exercises (ungraded): 8.1 - 35
Thursday
Group quiz
Friday
center of mass (centroid)
moments in x and y, alternate formula
Book exercises (ungraded): 8.1 - 1, 11
8:
Monday
center of mass (centroid)
moments in x and y, alternate formula
Book exercises (ungraded): 8.1 - 21, 23
Wednesday
probability
specifics
Book exercises (ungraded): 7.8 - 1
Thursday
Review
Friday
Exam 2
9:
Monday
New groups and review exam
Taylor polynomials
example
Book exercises (ungraded): 8.4 - 1, 19
Wednesday
solving differential equations
first order, separable
y' = k(y - b) form
Book exercises (ungraded): 9.1 - 1, 15, 31
Book exercises (ungraded): 9.2 - 1, 3
Thursday
Group quiz
Friday
slope fields
Newton's law of cooling
slope field example
start Euler's method: polynomials , e^x (via GeoGebra)
Book exercises (ungraded): 9.2 - 7
Book exercises (ungraded): 9.3 - 1
10:
Monday
Euler's method
finish Euler's method: polynomials , e^x (via GeoGebra)
Book exercises (ungraded): 9.3 - 17
first order linear differential equations
Book exercises (ungraded): 9.5 - 1, 5, 13
Wednesday
first order linear differential equations
Thursday
Group quiz
Friday
Sequences
notation, limits, squeeze theorem
Book exercises (ungraded): 10.1 - 1, 3, 5, 9, 17, 23
11:
Monday
Series
Wednesday
Convergence of positive terms
integral test, p-series
Book exercises (ungraded): 10.3 - 1, 3, 9
Thursday
Group quiz
Friday
Convergence of positive terms
direct comparison, limit comparison
Book exercises (ungraded): 10.3 - 15, 19, 21, 25, 39
12:
Monday
Practice day
series worksheet
Book exercises (ungraded): Chapter 10 review -
13:
Monday
absolute and conditional convergence
specifics
Book exercises (ungraded): ? -
Wednesday
topic
specifics
Book exercises (ungraded): ? -
Thursday
Review
Friday
Exam 3
one page of notes (one-sided, handwritten)
14:
Monday
topic
specifics
Book exercises (ungraded): ? -
Wednesday
topic
specifics
Book exercises (ungraded): ? -
Thursday
Group quiz
Friday
topic
specifics
Book exercises (ungraded): ? -
15:
Monday
topic
specifics
Book exercises (ungraded): ? -
Wednesday
topic
specifics
Book exercises (ungraded): ? -
Thursday
Group quiz
Friday
Review
Final exam
approved graphing calculator
one page of notes (one-sided, handwritten)
Google search: calculus exams
(University finals schedule )