MATH 1230: Calculus II
Schedule for Week 15. Homework # 13is
due to Thursday, April 19. List of homework problems here.
Quiz on Thursday, April
18: problems from Sections 10.8 and 10.9.
Course Info

Weekly Schedules









Course description: This course is a
second part of twosemester sequence in differential and
integral calculus. It includes techniques of integration,
sequences and series, improper integrals and elementary
differential equations. We'll use a computer algebra system Maple
in this course for some computer projects.
It is expected that you
will work most of the basic exercises at the end of each
section. A list of additional problems to work will be placed at
the course webpage (see homework problems).
Homework will be collected and selected problems will be graded.
Every week we'll have a quiz containing three or four
problems similar to ones solved in class and from homework. If
you have any questions about problems, please ask them in class
or during office hours.
Textbook: Thomas' Calculus: Early
Transcendentals by Hass and Weir, 13th edition.
Office Hours ( Everett Tower
5527) : see a schedule here.
Math
1230
meets on Monday, Tuesday, Thursday and Friday from 12:00
pm to 12:50 am at Schneider 1135.
Week 1: January 08  January 12
Topics for reading
 Sections 3.2, 3.3, 3.5, 3.6, 3.8. Review : derivatives,
differentiation rules, derivatives of elementary functions.
 Sections 4.8
Review: definitions of indefinite integrals
(antiderivative). Properties of indefinite integrals.
 Section 8.1 Basic integration
formulas, integration by substitution
 Section 8.2 Integration by parts
List of homework problems here. This week on Friday, January 12, we
have a quiz on basic skills of differentiation and integration
with problems which are similar to problems from homework #1.
Homework #1 is not collected. Review of derivatives and antiderivatives
(Sections 3.2, 3.3, 3.5, 3.6, 3.8, Section 4.8). Basic
skills test on Friday, January 12., includes problems similar to problems
from homework
#1. You can find a sample basic skills test here
. For more info visit this
link.
Week
2:
January 15  January 19
Topics for reading
 Section 8.2 Integration by parts
 Section 8.3 Trigonometric integrals
 Section 8.4 Trigonometric substitutions
 Section 8.5 Integration of rational functions
List of homework problems
is here. Quiz #2 1on Friday, January 19, problems from Sections 8.1,
8.2 and 8.3. Homework #2 is due to Friday, January 19.
On Basic
Skills Test retake see info
here.
Week 3: January 22  January 26
Topics for
reading
 Section 8.4 Trigonometric substitutions
 Section 8.5 Integration of rational functions
 Section 5.3, 5.4
Definite integrals, Fundamental Theorem of Calculus. Area of a
region.
List of homework problems here. Quiz # 2 on Friday, January 26, problems from Sections
8.2, 8.3 and 8.4 .
Week 4: January 29  February 02
Topics for
reading
 Section 6.1 Volumes
using crosssections
 Section 6.2 Volumes using cylindrical shells
 Section 6.3 Arc length
 Section 6.4 Areas of surfaces of revolution
List of homework problems here. Quiz # 3 on Friday, February 2: problems from Sections
8.4,8.5, 6.1.
Week 5: February 05  February 09
Topics for
reading
 Section 6.4
Areas of surfaces of revolution
 Section 4.5 Limits of functions, indeterminate forms and L’Hopital’s Rule
 Section 8.7 Improper
integrals
Quiz #4 Friday, February 9, problems
from Sections 6.1,
6.2 and 6.3
ATTENTION! First midterm exam
on Thursday, February 15, will include topics and
problems from Sections 6.16.4, 8.18.5, 4.5
Homework problems for Section 4.5 (L'Hopital Rule) .
Week 6: February 12  February 16
Topics for reading
 Section 4.5 Limits of
functions, indeterminate forms and L’Hopital’s
Rule
 Section 8.8 Improper integral
ATTENTION!
First midterm exam on Thursday, February 15, will
include topics from Sections 6.16.4, 8.18.5, 4.5
Week 7: February 19  February 23
Topics for reading
 Section 8.8 Improper integral
 Section 8.7 Numerical Integration

On Thursday, February 22, we'll
meet at Rood Hall Computer Lab (Checkin
3374 Rood) at 12 p.m.
Maple worksheets: Introduction to
Maple and Maple Computer
Project #1. Maple computer project is due to
Tuesday, February 28.
Quiz on Friday, February 23 Section 8.8. Homework for Section 8.8
Improper integrals see here
Week 8: February 26  March 02
Topics for reading
 Section 8.7 Numerical Integration
 Section 7.2 Separable
differential equations
Maple computer project is due to Tuesday,
February 28.
Week 9: March 05  March 09
Spring Break
Week
10: March 12  March 16
Topics for reading
 Section 10.1 Sequences
 Section 10.2 Infinite
Series
 Section 10.3 The Integral
Test for convergence of series
Quiz on Friday, March 16:
problems from Sections 10.1.
Week
11: March 19  March 23
Topics for reading
 Section
10.2 Infinite Series
 Section
10.3 The Integral Test for convergence of series
 Section 10.4 Comparison Tests
Homework # 9
(Problems for Section 10.2) is due to Friday, March 24.
Quiz on Friday, March 23. Problems from Sections 10.2.
Week
12:
March
26

March 30
Topics for reading
 Section 10.5 Absolute Convergence;
The Ratio and Root Tests
 Section
10.6 Alternating Series and Conditional Convergence
Second
midterm exam on Thursday, March 30, will cover topics
and problems from Sections 8.8, 7.2, 10.1, 10.2, 10.3,
10.4
Week
13:
April
02  April 06
Topics for reading
 Section
10.6 Alternating Series and Conditional Convergence
 Section
10.7 Power Series
 Section
10.8 Taylor and Maclaurin Series
Quiz on Friday, April 6:
problems from Sections 10.5 and 10.6.
Week
14: April 09  April 13
 Section
10.8 Taylor and Maclaurin Series
 Section
10.9 Convergence of Taylor Series
Quiz on Friday, April 13:
problems from Sections 10.6,10.7 and 10.8.
Week
15: April 16 April 20
Topics for reading
 Section
10.8 Taylor and Maclaurin Series
 Section 10.9 Convergence of Taylor Series
 Review of the course
Quiz on Thursday, April 18:
problems from Sections 10.8 and 10.9.
Homework Problems
Note that
problems marked with * are extra.
Homework # 1 Chapter 3 Derivatives problems
(p.215) #1  64 (do any 20 problems)
Section 4.8 (antiderivatives) (p.287) # 1
 52 (do any 10 problems)
Homework # 2 (due to Friday, January 19)
Section 8.1 (p.460) # 2, 4, 6, 25
Section 8.2 (p.467) #
4, 6, 10, 12, 22
Section 8.3
(p.474) # 5, 7, 12, 34, 52
Homework # 3 (due to Friday, January 26)
Section 8.4 (p.479)
# 2, 3, 6, 7, 14
Section 8.5 (p.487) # 10, 12, 14, 22
Homework # 4 (due
Friday. February 2)
Section
6.1 (p.373) # 2, 6, 20, 22, 42,
50, 52, 59
Section 6.2
(p.381) # 2, 6, 10, 16, 32
Section 6.3 (p. 388) # 2, 6, 14
Homework # 5 (due Monday, February 12)
Section 6.4 (p.392)
# 10, 12, 16, 28
Section 4.5 (p.262)
# 2, 4, 20, 24, 36, 44, 46, 52, 59, 64
Homework # 6 (due to Monday February 19)
Section
8.8 (p. 513) # 2, 4, 10, 24, 26, 42, 44, 50, 56, 61
Homework # 7 (due to Thursday, March 1)
Section 7.2 (p. 437) # 2, 6, 8,
,10, 12, 20, 25, 27, 30
Homework # 8 (due to Friday, March 16)
Section 10.1 (p.581) # 4, 6, 16. 28, 31,
36, 38, 48, 54, 56, 63, 94, 98, 101
Homework # 9 (due to Friday, March 23)
Section 10.2 (p.591) #
2, 10, 12, 16, 27, 35, 50, 55, 62, 63
Homework #10 (due to Friday March 30)
Section 10.3
(p.598) # 3, 4, 6, 16, 32, 38 Section
10.3 (p.598) # 3, 4, 6, 16, 32, 38
Section 10.4 (p.603) # 2, 3,
6, 10, 11, 16, 17, 19, 34, 41
Homework #11 (due to Friday, April 6)
Section 10.5 (p. 609) # 1, 5, 9, 10, 19, 20, 42
Section 10.6 (p. 615) # 1,
2, 10, 11, 41, 42
Homework #12 (due to Friday, April 13)
Section 10.7 (p. 624) # 5, 6, 11, 13, 24, 41,
44, 50
Section 10.8 (p. 630)
# 1, 4, 5, 13, 15, 22, 28, 29
Homework # 13 (due to Thursday, April 19)
Section 10.9 (p. 637) # 5, 7, 16, 17, 29, 30, 35,
41
Maple
18 worksheets (click on the title to download worksheet):
Exams
 First midterm exam : February 15,
Thursday
 Second midterm exam: March 29
Thursday
 Final exam (comprehensive) :
Wednesday, April 25, from 12:30 p.m. to 2:30
p.m.
Grades and Makeup Policy
Grades will be
assigned using a sliding scale. The usual passing level "C" is
between 65% and 68%. Someone with 88% may get "A". After each test
we'll get an approximate passing level. Do not panic if your grade
seems low, come and talk with me about your
performance.Various numbers below determine the
relative weights of exams' and quizzes' grades: Total number
of points 500. The final exam  200 points. Each midterm exam 
100 points, quizzes grade  100.
In general,
there will be NO makeups for exams. If you miss an exam for a
valid welldocumented reason then arrangements may be made on an
individual basis.
Academic
Integrity
You are responsible for making yourself aware of and
understanding the policies and procedures in the Undergraduate
Catalog that pertain to Academic Integrity. These
policies include cheating, fabrication, falsification and forgery,
multiple submission, plagiarism, complicity and computer misuse.
If there is reason to believe you have been involved in academic
dishonesty, you will be referred to the Office of Student Conduct.
You will be given the opportunity to review the charge(s). If you
believe you are not responsible, you will have the opportunity for
a hearing. You should consult with me if you are uncertain about
an issue of academic honesty prior to the submission of an
assignment or test.
Comments, questions, problems
to ledyaev@wmich.edu
.
Last modified
:April 13,2018