Math 107
Calculus II
University of Nebraska-Lincoln
Spring 2014
COURSE SYLLABUS
Text: Calculus, Single and Multivariable by Hughes-Hallet, et al., ISBN: 978-1-118-14155-7.
ACE Outcome 3: “Use mathematical, computational, statistical, or formal reasoning (including reasoning based
on principles of logic) to solve problems, draw inferences, and determine reasonableness.” Your instructor will
provide examples, you will discuss them in class, and you will practice with numerous homework problems. The
exams will test how well you’ve mastered the material. The final exam will be the primary means of assessing your
achievement of ACE Outcome 3.
Prerequisite Policy: Students must have completed Math 106 with a grade of C or better before taking Math
107. Any students who do not meet this requirement will be dropped from the course.
Advanced Placement Program: If this is the first college mathematics course that you have attempted, then
you may be eligible for 5 hours of free credit for Math 106, provided you get a grade of C, P or better in Math 107
this semester. To be considered for this credit, you should register with the Department of Mathematics, 203 Avery
Hall by the end of the third week of classes, i.e. Friday, January 31.
Calculator: A graphing calculator may be useful for this course, and the TI-83, TI-84 and TI-86 are recommended.
No calculators are allowed during the Gateway Exam, but you may use a calculator during the other exams provided
that it does not have a built-in computer algebra system (CAS). Examples of CAS calculators include the TI-89,
TI-92, TI-Nspire, HP-40, HP-41, Casio ALGEBRA FX 2.0, Casio ClassPad 300, and Casio ClassPad 330. The use
of a CAS calculator is not permitted during any of the exams or quizzes.
Cell Phones: As a courtesy to others, please turn off your cell phones when you come to class.
Scheduling: A tentative schedule of assignments and exams is included in this syllabus. These details are presented
as a guide. Your instructor may change the dates for each assignment and/or exam, modify the exercise list, and/or
add assignments. It is your responsibility to keep track of the course details and schedule for your section.
Reading: There is a lot of content in this course, so it has a necessarily fast pace. You are expected to read the
appropriate sections of the text BEFORE coming to the class in which the topic is scheduled.
Exercises: You are expected to work the assigned exercises after the corresponding material is presented in class,
and BEFORE the next class meeting (lecture or recitation).
Other Assignments: Your instructor will decide on other assignments such as weekly quizzes or homework. Please
pay attention to the policy sheet provided by your instructor.
Gateway Exam: This exam consists of 7 questions in which you are asked to carry out calculations without
using calculators, notes, or tables. You must get at least 6 questions completely correct to pass with full credit. If
you are dissatisfied with your performance on the Gateway Exam when it is first administered, you can go to the
Arts and Sciences College Testing Center (Burnett 127) for a retake (picture ID required). The final deadline to
pass the Gateway is Friday, March 21.
Math Resource Center: Students in Math 107 are encouraged to use the Mathematics Resource Center (MRC)
in Avery 13B if they have questions related to this course, or as a place to meet and discuss group projects. The
hours for the MRC are 12:30-8:30 p.m. Monday through Thursday, 12:30-2:30 p.m. on Friday, and 1:00-5:00 p.m.
on Sunday.
Special Dates:
January 24 (Friday): last day to withdraw from this course and not have it appear on your transcript.
March 7 (Friday):
last day to change your grade option to or from Pass/No Pass.
April 11 (Friday):
last day to drop this course and receive a grade of W.
(No permission required.) After this date you cannot drop.
Final Exam Policy: Students are expected to arrange their personal and work schedule to allow them to take the
final exam at the scheduled time. Students who have conflicting exam schedules may be allowed to take an alternate
final, which is always given after the regularly scheduled final. No student will be permitted to take the final exam
early. The final exam for this course will be on:
Thursday, May 8, 6-8 p.m. (Location to be announced).
Tentative Schedule
Date
Jan
Feb
March
April
May
May
14
16
T
R
Section and Topic
6.2 Review of basic integration
7.1 Integration by Substitution
Exercises
p.310:
p.338:
21
23
T
R
Integration by Substitution
7.2 Integration by Parts
p.338 (continued)
p.346:
24
28
30
4
6
11
13
14
18
20
21
25
27
4
6
7
11
13
18
20
21
21
23–30
1
3
8
F
T
R
T
R
T
R
F
T
R
F
T
R
T
R
F
T
R
T
R
F
F
T
R
T
9.3
9.4
9.4
10
11
15
17
22
R
F
T
R
T
9.5
24
25
29
1
8
R
F
T
R
R
7.4
7.4
7.5
7.7
7.8
8.1
8.2
8.3
8.4
8.5
9.1
9.2
Last day to drop without a W
Partial Fractions & Trig. Substitutions
Partial Fractions & Trig. Substitutions
Catch up/Review
Numerical Integration
Improper Integrals
Comparison of Improper Integrals
Paper Gateway Exam
Areas & Volumes
Review for Exam 1
EXAM 1
Volumes by Slicing & Arc Length
Area & Arc Length in Polar Coordinates
Catch up/Review
Density (only)
Last day to change to or from Pass/No Pass
Applications to Physics (work only)
Sequences
Geometric Series
Review for Exam 2
EXAM 2
Deadline for passing the Gateway Exam.
Spring Break
Convergence of Series & the Integral Test
Tests for Convergence
Tests for Convergence (Include the Root Test)
Power Series
Last day to drop with a W
10.1 Taylor Polynomials
10.2 Taylor Series
10.3 New Taylor Series from Old
1-15 (odd), 22, 25, 28, 31, 35, 40-44 50, 51, 54, 59
1, 2, 3, 6, 7, 9, 11, 15, 25, 27-31, 33, 40, 43,
57-62, 74, 75, 78, 79
1, 3, 6, 7, 8, 9, 10, 14, 15, 20, 24, 25, 28, 31,
33, 35, 39, 48, 49, 50
p.359:
p.360:
1, 3, 5, 10, 12, 16, 18-21, 25
27, 31, 32, 35, 38, 39, 42, 45, 46-51
p.365:
p.378:
p.383:
1, 2, 7, 12, 22
1, 2, 5, 7, 8, 9, 12, 15, 16, 22, 23, 26, 29, 35, 49
1, 3, 5, 8, 10, 15, 17, 20, 22-24, 30, 31
p.396:
2, 3, 7, 9, 10, 12-14, 16, 18, 19-21, 24-25, 27
p.404:
p.413:
1-9(odd), 11-13, 18, 19, 21-24, 33, 35, 36, 41, 42, 47
1, 2, 5, 7, 8, 11, 15, 23, 24, 26, 28-30, 35, 36, 39, 40
p.421:
1-5, 10, 11, 12
p.430:
p.467:
p.474:
1-3, 7-9, 11, 13, 15, 17
1, 3, 5, 7, 8, 13, 16, 20-25, 28, 29, 38, 40
1-7, 11, 12, 15, 16, 18-21, 24, 36
p.480:
p.488:
p.488:
p.496:
2, 4, 5, 7, 10, 11, 16, 17, 21, 25, 26, 28, 29, 46
1, 3, 4-7, 9, 12, 14, 15, 17, 19-22
24, 25, 27, 28-33, 36, 39, 46, 48, 55, 56
60, 61, 63, 67, 71, 73-75, 78-80, 88, 89
1-4, 5, 7, 10, 11-21(odd), 25-29, 35, 37, 40
p.512:
p.517:
p.523:
p.529:
1-3, 6, 7, 12, 17, 19, 25, 27
1, 4, 7, 9, 15, 17, 20, 22, 23, 30, 31, 34–36, 43, 44
1, 4, 6, 8, 9, 13, 14, 16, 19, 24, 25, 29
Use Theorem 9.9 to work: 2, 3, 5, 14, 16
Review for Exam 3
EXAM 3
Catch up/Review
Catch up/Review
FINAL EXAM, 6p.m.-8p.m. (Location TBA)
Course Evaluation: The Department of Mathematics Course Evaluation Form will be available through your Blackboard account
during the last two weeks of class. You’ll get an email when the form becomes available. Evaluations are anonymous and instructors do
not see any of the responses until after final grades have been submitted. Evaluations are important—the department uses evaluations
to improve instruction. Please complete the evaluation and take the time to do so thoughtfully.
ADA Language: Students with disabilities are encouraged to contact the instructor for a confidential discussion of their individual
needs for academic accommodation. It is the policy of the University of Nebraska-Lincoln to provide flexible and individualized accommodation to students with documented disabilities that may affect their ability to fully participate in course activities or to meet course
requirements. To receive accommodation services, students must be registered with the Services for Students with Disabilities (SSD)
office, 132 Canfield Administration, 472-3787 voice or TTY.
Departmental Grading Appeals Policy: Students who believe their academic evaluation has been prejudiced or capricious have
recourse for appeals to (in order) the instructor, the departmental chair, the departmental appeals committee, and the college appeals
committee.