MATH 107H: Honors: Calculus II
MWRF 930 – 1020 AM
Fall 2015
Section 003
Prof. Tim Susse
e-mail: [email protected]
Office: AH308
Office Hours: W 2-3PM, F 11AM-12PM
websites: www.math.unl.edu/~tsusse2
——————————————————————
ACE Outcome 3: This course satisfies 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.
Required Textbook: Hughes-Hallet, Gleason, McCallum et al. Calculus. 5th Edition. Wiley Custom Learning Solutions, 2009. ISBN: 978-0470-08914-9.
Attendance: Due to the sequential nature of this course, attendance is vital for achieving the
outcomes listed above. So, you are expected to attend every class. You are responsible for
any announcements made in class, for the material discussed in class, and for reading the textbook.
Please be advised that more than two unexcused absences and/or recurrent tardiness will
most likely result in your final grade being lowered. Leaving class early is considered the
same as arriving late.
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.
Prerequisite Policy: Students who take Math 107 must have passed Math 106 or an equivalent
course with a grade of P or C or better. Students who are new to UNL must also pass a readiness
test for 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 early in the semester (no later than
Friday, September 11).
Calculator: A graphing calculator may occasionally be useful in this course, and the TI-83, TI-84
and TI-86 are suffcient.You may use a calculator during 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.
Phones & Other Devices: Please turn off your phone when you come to class. You are not allowed to have on your person during exams any device that can access the internet or communicate
in any way. Cellphones, Apple watches, etc. should be put away in backpacks/purses.
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 the course with your working group. The hours for the MRC are 12:30-8:30 PM
Monday through Thursday, 12:30-2:30 PM on Friday, and 1:00-5:00 PM on Sunday.
Undergraduate TA: This course has an undergraduate teaching assistant, Tim Rolling, who
will lead weekly recitation sessions on Thursdays. He will also be available for consultation during
his office hours. Attendance at the sessions is required.
Project: A project will be assigned for you to work in small groups of between 3 and 5 people. The project will explore a longer and more open-ended question than a typical homework or
exam problem. The goal of the project is two-fold: you and your fellow group-members will solve
a more challenging problem, and you will write a report on your work, describing background,
methods, and conclusions. Your group will submit a written report on the project and you will be
graded on the quality of both the mathematical solution and of the exposition.
Grades: Your performance in this course will be evaluated using weekly homework, three inclass midterms and a final exam. Approximate dates for these can be found in the course outline.
Your grade will then be computed as follows:
Tests (20% each)
Homework
Final Exam
Project
Total
40%
20%
30%
10%
100%
ADA Notice: 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 [http://www.unl.edu/ssd/home], 132 Canfield
Administration, 472-3787 voice or TTY.
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.
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.
Course Outline
The following table shows the material expected to be covered and the corresponding tentative
problem assignments for each week of the semester. Note that what is shown here is approximate;
please be alert for changes throughout the semester.
Week of
August 24
August 31
September 7
September 14
September 21
September 28
October 5
October 12
October 19
October 26
November 2
November 9
November 16
November 23
November 30
December 7
Section & Topics
5.2: The Definite Integral
5.3: The Fundamental Theorem
6.2: Computing Antiderivatives
7.1: Substitution
7.2: Integration by Parts
7.3: Tables of Integrals
Friday, September 4 is the last day to file
September 7 is Labor day
7.4: Partial Fractions
7.4: Trig. Substitutions
7.5: Numerical Integration
7.6: Approximation Errors
7.7: Improper Integrals
7.8: Comparison of Improper Integrals
8.1: Areas and Volumes
8.2: Computing Volumes & Arc Length
8.2: Computing Volumes & Arc Length
8.3: Polar Coordinates
Recommended Exercises
1, 2, 5, 7, 15, 16, 20, 32
2, 3, 4, 5, 6, 19, 21, 23
1-27 (odd), 22, 26, 31, 37–59 (odd)
1, 2, 3, 6, 7–37 (odd), 40
1, 3–29 (odd), 31, 57–62, 67, 68
1, 7, 10, 11, 12, 15, 16, 20, 33, 34, 45, 46, 49
a drop to remove course from student’s record
1, 3, 5, 10, 12, 16, 18, 19, 25, 33, 39, 47, 48, 49, 50
21, 27, 29, 31, 32, 38, 42, 43, 45, 46–51
3, 4, 7, 9, 12, 13, 15, 16, 23
1, 3, 9
1, 2, 5, 7, 8, 9, 12, 15, 16, 22, 23, 26, 29, 35, 49
1, 3, 5, 7, 9, 15, 17, 20, 22-24, 30, 31
2, 3, 5, 8, 9, 11, 12–14, 15, 17, 19, 21, 24, 25, 27
1–9(odd), 21-24, 32, 33
11-13, 17, 19, 41, 42, 47, 55, 57
1–8, 9, 11
Catch-up & Review
Exam 1 on Monday, October 5
8.3: Polar Coordinates
15, 23, 26, 28–30
8.4: Density
1–5, 11, 12, 13
8.5 or 8.7/8.8 : Applications
TBA
Defining Logs and Exp the right way
TBA
Friday, October 16 is the last day to change to P/NP
October 19–20 is Fall Break
9.1: Sequences
1, 3, 5, 7, 8, 13, 16, 20–25, 28, 29, 38, 40
9.2: Geometric Series
1-7, 11, 12, 15, 16, 18–21, 24, 25, 27
9.3: Convergence of Series
1, 2, 3, 4, 5, 7, 9, 10, 11, 13–31 (odd), 37
9.4: Tests for Convergence
24, 25, 27, 28-33, 35, 39, 41, 47, 48, 55-71 (odd)
74, 76, 78-80, 88, 89
9.5 Power Series
1-4, 5, 7, 10, 11–21(odd), 25-29, 35, 37, 40
10.1: Taylor Polynomials
1–3, 6, 7, 12, 17, 19, 25, 27
10.2: Taylor Series
1–23 (odd)
10.3: Using Taylor Series
1, 3, 7, 8, 13, 15, 17, 19, 24, 25, 29, 32
Catch-up & Review
Friday, November 13 is the last day to withdraw from one or more courses
Exam 2 on Monday, November 16
10.4: Error in Taylor Polynomials
1, 5, 6, 9, 15
Thanksgiving vacation is November 25–November 29
10.4: Error in Taylor Polynomials
16, 20, 21, 22
10.5: Fourier Series
5, 6, 8, 12, 17
Applications of Series
TBA
Review for Final Exam
The Final Exam is 10:00am – 12:00 pm, Tuesday, December 15