Moraine Valley Community College
Course Syllabus
Date: 1/13/14
Course Title: Calculus & Analytic Geometry II
Course Number: MTH 151
Semester: Spring 2014
I.
A.
B.
C.
D.
E.
F.
G.
II.
A.
B.
C.
D.
E.
III.
A.
B.
C.
Faculty Information
Instructor:
Keith A. Nabb
Office:
C 242
Office Hours:
Mon, Wed, Thurs: 8:00-8:50 P.M.
Tue: 3:30-4:30 P.M.
Feel free to make an appointment if these hours are inconvenient.
Mailbox location:
C 154
Office Phone:
708-974-5592
E-Mail:
[email protected]
Web:
www.keithnabb.com (click on Teaching, follow the links to your
course)
Course Identification
Credit hours:
5
Total contact hours: Lecture: 5
Lab: 0
Class Meetings:
Section 005: TR 1:00-3:15 P.M. Room A 151
Section 201: TR 5:30-7:45 P.M. Room D 123
Prerequisite:
MTH 150 with a grade of C or better
Course Description: A continuation of MTH 150. Topics include applications of the
integral, techniques of integration, indeterminate forms, improper
integrals, numerical sequences and series, conic sections, polar
coordinates and parametric equations.
Textbooks/Materials
Required: Calculus: Early Transcendental Functions, by Larson & Edwards, 5th Edition,
Houghton Mifflin Company, 2011.
Recommended: Student solutions manual.
Supplies: TI-83 or TI-84 graphing calculator (others may be acceptable at the discretion
of the instructor). The TI-89 and TI-92 calculators are not allowed on the Final Exam.
IV.
Learning Outcomes
The student will
A.
Compute the area under a curve and between two curves.
B.
Compute the volume of a solid of revolution using the methods of disks, shells and
washers.
C.
Compute arc length, center of mass of planar regions, and volumes and surface areas of
solids of revolution.
D.
Employ various techniques (integration by parts, partial fractions, substitution) to find
E.
F.
G.
H.
I.
J.
K.
V.
A.
B.
C.
D.
E.
F.
G.
H.
indefinite integrals and to compute the values of definite integrals.
Use L’Hopital’s Rule to evaluate limits in indeterminate form and to help evaluate
improper integrals.
Identify whether an infinite series is convergent or divergent.
Use power series to find derivatives and integrals of functions.
Identify, describe and sketch basic conic sections using rotation and/or translation of
second degree equations.
Graph, differentiate and analyze relations expressed in parametric form.
Graph, differentiate and integrate functions in the polar coordinate system.
Use a computer algebra system such as Maple to solve problems that are too difficult to
attempt by conventional methods.
Classroom Policies/Procedures
Class attendance as well as completion of all assigned work is essential to mastering the
concepts in MTH 151. You are responsible for the material covered in class as well as
the material in the text.
A student who does not withdraw officially from a course may receive a grade of F,
depending on course progress or attendance, which will become a part of the student’s
permanent record. The official withdrawal date is listed in the General Information
Sheet.
Final Exam: TBA
Any form of academic dishonesty (plagiarizing/cheating) will result in a grade of
“0” on that particular assignment/exam. A repeated offense results in failure of the
course. Furthermore, each student is responsible for adhering to the Code of
Conduct as stated in the college catalog. Mathematics Departmental Statement:
The Department of Mathematics views upholding academic integrity as an integral
part of student learning, classroom engagement, and ultimately, the production of
student-generated work. The Department believes adherence to the principles
stated in the MVCC Code of Academic Integrity preserves the value of assigned
grades and other assessments. Instances of academic dishonesty compromise the
development of problem-solving skills and other skills necessary for subsequent
work in mathematics. This, in turn, deprives students of an authentic learning
experience. Overall, we believe integrity in the mathematics classroom translates
into ethical behavior beyond academic environments.
Examinations carry a closed book and closed notes policy. Most (if not all) in-class
exams will be given in two parts: one part in which calculators will be allowed and
another part in which calculators will not be allowed. Be advised that other technologies
are never permitted during examinations. These technologies include, but are not limited
to, cell phones, pagers, electronic organizers, mp3 players, etc.
Check the course website regularly for updates. I will post useful documents such as the
syllabus, practice exams with answers, optional assignments, the semester project, and
other miscellaneous handouts and/or links.
Testing Center: It is possible for an exam to be given in the Testing Center located in B
101; be sure to bring a picture I.D.
Faculty, staff, students and college visitors may not use and must silence cellular phones,
pagers, and other communication devices in all instructional areas which include: all labs
and classrooms during instructional sessions, the Learning Resources Center/Library, the
Assessment Services Center (B 101), and other areas so designated by the college.
VI.
A.
B.
C:
D.
E.
F.
Evaluation Criteria
There will be four in-class exams, worth a combined total of 30% of the term grade.
Missed exams are recorded as a zero and no make-up exams are given. The lowest
exam score will be dropped. In the event that you cheat/plagiarize on an
examination, be advised that your lowest exam score will not be dropped. That is,
all four of your in-class examinations will weigh evenly in determining your exam
average. The final exam will be comprehensive with similar problems to older exams
and homework. There is no make-up if you miss the final exam and the final exam
score is never dropped. If you miss the final exam for any reason, a zero will be
recorded as the final exam score. The final exam is worth 30% of the term grade.
The daily homework assigned from the text will not be collected. Instead, students
should come prepared to facilitate/present/discuss their solutions to homework problems
to their classmates. Other audience members should feel open to ask questions about
thought process or solution method; thus, the “presenter” will have thought through the
problem (in anticipation of questions) before coming to class. The first 10-15 minutes of
class will be dedicated to the discussion/presentation of these homework problems. (You
are encouraged to discuss these problems with me and/or your fellow classmates before
class begins.) Your participation in facilitating discussion and presenting your solution is
worth 10% of the term grade. Evaluation will be based predominantly on your ability to
(1) articulate your understanding of the problem, and (2) answer questions (as opposed to
just presenting an acceptable solution).
Problem of the Week: Every Tuesday you will be presented with an interesting and
challenging problem that closely relates to the content we are covering at the time. On
Thursday, you may ask questions about the problem, get feedback on initial attempts, etc.
On the following Tuesday, we will take some of class time to discuss its solution, share
different student presentations/attempts and the like. These problems will be assessed as
follows. If a student attempts the problem, then he/she will be awarded 1 point. If a
valid solution is submitted, he/she will earn 2 points. At the conclusion of a unit, these
points will be added to his/her unit exam score. As additional motivation, I will keep a
running tally of cumulative POW points. The student who earns the most by semester’s
end will be awarded a ridiculously cool math T-shirt.
There will be one assigned project during the course of the semester. If you wish, you
may collaborate with one other student (in the class) while working on the project. The
project is worth 30% of the term grade.
The Computer Algebra System (CAS) Maple will be integrated throughout the course;
Maple is similar to (but far more powerful than) the conventional graphing calculator.
The final project will most likely incorporate Maple in some way.
Grades are determined according to the following scale:
Percentage
90-100%
80-89%
70-79%
60-69%
below 60%
Grade
A
B
C
D
F
VII. Course Calendar
The schedule that follows is tentative and may be adjusted during the semester to accommodate
the needs of the course.
Week
1
Topics Covered
Brief Review of Calculus 1 (Integration); Area between curves;
Volume by discs
2
Volume by discs; Volume by shells; Recap of discs/shells
3
Arc Length; Surface Area; Work
4
Centroids; Review; Exam 1
5
Integration by parts; Trigonometric powers; Trigonometric
substitution
6
Partial fractions; Miscellaneous integration techniques; Recap of
Integration
7
No Class on Tuesday (Staff Dev Day); Recap of Integration; L’Hopital’s
rule; Improper Integrals
8
Improper Integrals; Review; Exam 2
3/10-3/14
***SPRING BREAK***
9
Sequences; Series (Geometric, p-series)
10
Tests for convergence: integral, direct comparison, limit
comparison
11
Tests for convergence: alternating series, remainder theorem, ratio
test, root test; Recap of tests of convergence
12
Taylor polynomials; Power series; Calculus of power series
13
Taylor series; Review; Exam 3
14
Conics; Parametric equations and calculus
15
Polar coordinates and calculus
16
Review; Exam 4; Review for Final Exam
17
Final Exam: TBA