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MATH 2414: Calculus II
Texas A&M University – Corpus Christi, Section 001, Fall 2011, CRN: 45352
I. COURSE INFORMATION
Instructor:
E-mail:
Webpage:
Office location:
Office phone:
Office hours:
Joe Champion, Ph.D.
joe.champion@tamucc.edu
http://sci.tamucc.edu/~jchampion
Center for Instruction #359
361-825-3165
Mondays 3-5pm, Tuesdays & Thursdays 12:30-2pm
Meeting place:
Meeting times:
Center for Sciences 108
Mon/Wed/Fri 8:00-8:50am, Lab on Wed 3:30-5:20pm
II. COURSE DESCRIPTION
As suggested by the catalog description (below), this 4-credit course focuses on techniques and
applications of single-variable integral calculus. Emphasis is on developing procedural fluency
while constructing conceptual understanding of the key principals of integration.
Integration, applications of integration, especially to differential equations, calculus of
exponential functions, sequences, series, Taylor polynomials and series. Contains a one-hour
laboratory component.
III. PREREQUISITES for the COURSE
MATH 2413: Calculus I (single-variable differential calculus & the fundamental theorem)
IV. REQUIRED TEXTBOOKS and OTHER MATERIALS
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Access to http://tamucc.mylabsplus.com (free with new textbook or purchase separately)
University Calculus, by Hass, Weir, & Thomas, Addison Wesley (2006): ISBN
0321350146. (available as an e-book with MyLabsPlus access)
Frequent access to high speed internet
A graphing calculator (e.g., TI-84)
V. STUDENT LEARNING OUTCOMES
At the end of the course the student should be able to:
1. Evaluate integrals by
a. the Fundamental Theorem of calculus
b. substitution
c. integration by parts
d. trigonometric substitution
e. using trigonometric identities to simplify an integrand
2. Use integrals to determine volumes
a. by using washers (slicing)
b. by using cylindrical shells
3. Use integrals to determine surface areas or curve lengths.
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4. Determine whether an integral is an improper integral and determine whether an
improper integral converges.
5. Determine convergence/divergence of a sequence
6. Determine convergence/divergence of an infinite series
a. by the integral test
b. by a comparison test
c. by the root or ratio test
7. Determine the interval of convergence of a power series.
8. Find the Taylor or MacLaurin series for elementary functions.
VI. INSTRUCTIONAL METHODS and ACTIVITIES
The course will be a combination of instructional presentation of new material and concepts,
whole-class activities and discussion, individual investigations, and lab activities. Students may
be required to give individual or group presentations. All students are expected to actively
engage in group and whole class activities with respect and perseverance.
VII. MAJOR COURSE REQUIREMENTS and ASSESSMENTS
Final course grades will be the weighted average of mean scores under the following weights:
Homework
Quizzes & Classwork
Gateway Exam
Labs
Exams
Final Exam
10%
10%
10%
20%
30%
20%
Final weighted grades are rounded to the nearest percent. Those ≥ 90% earn a letter grade of
A, ≥ 80% earn at least a B; ≥ 70% earn at least a C; ≥ 60% earn at least a D; < 60% earn an F.
Homework – Extensive practice is an essential component of understanding integral calculus,
and we’ll use an online system (tamucc.mylabsplus.com) to practice course techniques.
Quizzes, & Classwork – Boost your overall grade by participating in inquiry tasks, whole-class
discussion, and group work activities during class time. Then, demonstrate your mastery of key
skills and concepts during in-class group or individual assessments.
Gateway Exam – A test of the core integration techniques will be given in the lab (see the lab
syllabus for details). To earn any credit, you need to completely and correctly solve at least 8 of
10 integrals on the test. No electronic devices or resources are permitted on the gateway test.
Labs – see the Lab Syllabus for additional information on the lab component of the course.
Exams – Show your progressing understanding through 2-3 comprehensive individual exams.
Final Exam – complete a comprehensive summative assessment through an individual exam.
The final exam cannot be made-up if missed. If you have a conflict with the scheduled final
exam time, please contact me at least 2 weeks prior to discuss scheduling options.
» The final exam is scheduled for Friday, Dec. 9th at 8:00-10:30am.
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VIII. INITIAL COURSE OUTLINE (see the course website for updates)
Day
1
Date
W 8/24
TOPIC
Introduction
CLASS CONTENT
Syllabus, Activity
Textbook
3.1-3.5, 4.8
2
F 8/26
Antiderivatives
Activity
4.8
3
M 8/29
Definite Integrals
Interactive Lecture
5.3
4
W 8/31
Fundamental Theorem
Lecture
5.4
5
F 9/2
Basic Integration
Quiz
4.8-5.4
6
W 9/7
Basic Integration
Activity
4.8-5.4
7
F 9/9
Substitution
Lecture
5.5
8
M 9/12
Substitution
Activity
5.5
9
W 9/14
Area Between Curves
Quiz
5.6
10
F 9/16
Logs as Integrals
Lecture
5.7
11
M 9/19
Comprehensive
Review Activity
4.8-5.7
12
W 9/21
Comprehensive
Exam #1
4.8-5.7
13
F 9/23
Surfaces and Solids
Lecture
6.1-6.4
14
M 9/26
Slicing Method
Interactive Lecture
6.1
15
W 9/28
Shells Method
Quiz
6.2
16
F 9/30
Length & Surface Area
Lecture
17
M 10/3
Separable Diff Eqs
Interactive Lecture
6.5
18
W 10/5
Separable Diff Eqs
Quiz
6.5
19
F 10/7
Physics Applications
Lecture
6.6, 6.7
20
M 10/10
Physics Applications
Quiz
6.6, 6.7
21
W 10/12
Integration by Parts
Interactive Lecture
7.1
22
F 10/14
Integration by Parts
Activity
7.1
23
M 10/17
Trig Integrals
Lecture
7.2
24
W 10/19
Improper Integrals
Activity
7.7
25
F 10/21
Improper Integrals
Quiz
26
M 10/24
Trig Substitution
Lecture
7.3
27
W 10/26
Partial Fractions
Quiz
7.4
6.3, 6.4
7.2, 7.7
4
28
F 10/28
Choosing a Technique
Interactive Lecture
7.1-7.4
29
M 10/31
Choosing a Technique
Review Activity
30
W 11/2
Comprehensive
Exam #2
31
F 11/4
Sequence Notation
Interactive Lecture
8.1
32
M 11/7
Sequence Limits
Activity
8.1
33
W 11/9
Series Notation
Interactive Lecture
8.2
34
F 11/11
Series Convergence
Lecture
8.2
35
M 11/14
Sequence & Series Notation
Quiz
36
W 11/16
The Integral Test
Interactive Lecture
8.3
37
F 11/18
Comparison Tests
Lecture
8.4
38
M 11/21
Ratio and Root Tests
Quiz
8.5
39
W 11/23
Types of Convergence
Activity
8.6
40
M 11/28
Taylor & Maclaurin Series
Lecture
8.7-8.10
41
W 11/30
Function Approximation
Quiz
8.7-8.10
42
F 12/2
Polar Equations
Lecture
9.1-9.2
43
M 12/5
Comprehensive
Review Activity
4.8-9.2
44
F 12/9
Comprehensive
Final Exam 8:00-10:30am
4.8-9.2
7.1-7.4, 7.7
4.8-7.7
8.1, 8.2
IX. CLASS POLICIES
Attendance/Tardiness. You’re expected to attend every class session, arrive on time, and
complete all in-class activities. If you need to miss part or all of a class session, please email me
before class or as soon as possible. Make-up exams are available in case of emergencies and
may be more difficult than regular exams.
Late Homework. Homework will usually be due electronically, and will be subject to strict
deadlines set through the homework website. No partial credit or extensions are allowed for late
homework, but your two lowest homework scores will be dropped from the grading.
Cell Phones/Electronic Devices. Out of courtesy, please silence phones during class and step
out of class if you need to use them. Personal electronic devices are prohibited during exams.
In-Class Activities. By maintaining a spirit of respect and challenge, you can expect classroom
activities to be inviting, lively, and challenging. Everyone is expected to take responsibility for
their learning as well as the learning of their peers during class.
Dropping a Class. I hope that you never find it necessary to drop this or any other class.
However, events can sometimes occur that make dropping a course necessary or wise. Please
consult with me before you decide to drop to be sure it is the best thing to do. Should dropping
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the course be the best course of action, you must initiate the process to drop the course by
going to the Student Services Center and filling out a course drop form. Just stopping
attendance & participation WILL NOT automatically result in your being dropped from the class.
Academic Integrity. University students are expected to conduct themselves in accordance
with the highest standards of academic honesty. Academic misconduct for which a student is
subject to penalty includes all forms of cheating, such as illicit possession of examinations or
examination materials, falsification, forgery, complicity or plagiarism. (Plagiarism is the
presentation of the work of another as one’s own work.) In this class, academic misconduct or
complicity in an act of academic misconduct on an assignment or test will result in a minimum of
a 0 on the assignment or test.
Disability Services. The Americans with Disabilities Act (ADA) is a federal anti-discrimination
statute that provides comprehensive civil rights protection for persons with disabilities. Among
other things, this legislation requires that all students with disabilities be guaranteed a learning
environment that provides for reasonable accommodation of their disabilities. If you believe you
have a disability requiring an accommodation, please call or visit Disability Services at (361)
825-5816 in Driftwood 101. If you are a returning veteran and are experiencing cognitive and/or
physical access issues in the classroom or on campus, please contact the Disability Services
office for assistance at (361) 825-5816.
Grade Appeals Process. As stated in University Rule 13.02.99.C2, Student Grade Appeals, a
student who believes that he or she has not been held to appropriate academic standards as
outlined in the class syllabus, equitable evaluation procedures, or appropriate grading, may
appeal the final grade given in the course. The burden of proof is upon the student to
demonstrate the appropriateness of the appeal. A student with a complaint about a grade is
encouraged to first discuss the matter with the instructor. For complete details, including the
responsibilities of the parties involved in the process and the number of days allowed for
completing the steps in the process, see University Rule 13.02.99.C2, Student Grade Appeals,
and University Procedure 13.02.99.C2.01, Student Grade Appeal Procedures. These
documents are accessible through the University Rules Web site at
tamucc.edu/provost/university_rules. For assistance and/or guidance in the grade appeal
process, students may contact the Office of Student Affairs.
Classroom Behavior. Texas A&M University-Corpus Christi, as an academic community,
requires that each individual respect the needs of others to study and learn in a peaceful
atmosphere. Under Article III of the Student Code of Conduct, classroom behavior that
interferes with either (a) the instructor’s ability to conduct the class or (b) the ability of other
students to profit from the instructional program may be considered a breach of the peace and
is subject to disciplinary sanction outlined in article VII of the Student Code of Conduct.
Students engaging in unacceptable behavior may be instructed to leave the classroom. This
prohibition applies to all instructional forums, including classrooms, electronic classrooms, labs,
discussion groups, field trips, etc.
Changes. The instructor may amend the syllabus by announcing the changes in class.