Department of Mathematics & Statistics
Dr. John Hagood
AMB 131
http://oak.ucc.nau.edu/hagood
928-523-6879
john.hagood@nau.edu
MAT 137 – 02 Calculus II
Spring 2008
INSTRUCTOR: Dr. John Hagood
Office: AMB 131
Hours: MTWThF 2:00 – 2:50 pm
PREREQUISITE: A grade of C or higher in MAT 136.
COURSE DESCRIPTION AND OBJECTIVES: MAT 137 is a four credit hour course that meets 200
minutes each week. The course continues the study of calculus with emphasis on calculation of
integrals, improper integration, applications of integration, an introduction to differential equations,
infinite series, power series and vectors.
STUDENT LEARNING OUTCOMES: Upon completion of the course, students should be able to:
calculate or approximate integrals using various techniques; determine whether an integral is
improper and, if so, whether it converges; calculate the value of improper integrals; set up and
compute integrals for applications such as volume, arc length, work, and other physical applications;
analyze basic first order differential equations using slope fields, Euler's method and separation of
variables; set up and use first order differential equations and systems in basic applications;
determine whether a sequence convergences and if so find its limit; use various convergence tests for
infinite series; compute the value of geometric series; find the interval of convergence of a power
series; find the Taylor series expansion of a function about a given point; apply Taylor series to
investigate properties of functions; use properties of vectors and basic vector algebra in computations
and analysis; and construct equations of lines and planes in three dimensions.
APPROACH: The class will use a lecture-discussion format; discussion in the sense that students will
frequently be invited to contribute to the development of the material and examples. At times,
students will work either individually or in a small group to practice techniques or to solve problems,
and on a few occasions the class will meet in a computer lab to start a technology project.
TEXT AND COVERAGE: Calculus: Concepts and Contexts, 3rd ed., J. Stewart, Brooks-Cole, 2005,
sections 5.6 – 9.5. A few sections (e.g., 6.6, 6.7) will be omitted.
ASSESSMENT AND GRADES:
1. Homework will be due 1-3 times each week. Most assignments will be computer based using the
WeBWorK system (http://webwork2.math.nau.edu/webwork2/JHagood_137 or follow links from
the site above). Problems chosen from the text will be assigned as well, but typically these will not
be collected or grades. The problems from the text have been chosen to provide practice on concepts
and methods not completely covered in the WeBWorK sets, so they should not be considered to be
optional. Occasionally, problems from the text or constructed by the instructor may be assigned for
submission.
2. Short quizzes will be given most Fridays. A few of these may be delivered using the section
Blackboard Vista site.
3. About 4 technology projects will be assigned during the semester. These will require use of a
variety of tools including web applications and software programs such as GraphCalc and DPGraph.
Students may use more sophisticated applications such as Maple, MatLab, Mathematica, etc.
4. Four in-class, closed-book, closed-notes examinations and a comprehensive final exam will be
administered during the semester. Some exams may include a take-home portion.
5. The above requirements will be distributed as follows:
Homework/Quizzes/Projects
20%
Four exams (Probable dates: Feb 4, Feb. 22, Mar. 12, Apr 16): 56% (14% each)
Final exam (May 7, 7:30 – 9:30 am):
24%
Grades will be based on percentage of points earned according to the scale below:
A: 90-100%
B: 80-89%
C: 70-76% D: 60-69%
F: 0 – 59%
The instructor reserves the right to lower grade cutoffs.
COURSE OUTLINE AND APPROXIMATE TIMELINE:
Dates
January 14 – February 1
Topic
Integration Methods
February 4
February 5 – February 20
Exam One (Chapter 5)
Applications of
Integration
Exam Two (Chapter 6)
Differential Equations
February 22
February 25 – March 11
March 12
March 14 – April 15
April 16
April 17 – May 2
May 7
Exam Three (Chapter 7)
Sequences and Infinite
Series
Exam Four (Chapter 8)
Vectors, Lines and
Planes
Comprehensive
Final Exam
Text Material
Chapter 5
Review 5.1 – 5.5; 5.6 – 5.10
Chapter 6
Sections 6.1 – 6.5
Chapter 7
Sections 7.1 – 7.4; 7.5 and 7.6 if time
Chapter 8
Sections 8.1 – 8.9
Chapter 9
Sections 9.1 – 9.5
7:30 – 9:30 am
OTHER:
1. More information, including homework assignments and announcements, will be posted on the
section web site.
2. Any changes in the syllabus will be announced in class and posted on the section web site.
3. You may find if helpful to have a graphing calculator. The software GraphCalc and other freeware
or web applications will suffice for study purposes, but these are not available for exams. Use of
calculators may be prohibited on portions of some exams.
4. Regular attendance is expected. Normally no provisions will be made to accommodate students who
miss class.
5. The WeBWorK system will not give credit for answers entered after the deadline, although it will
indicate whether late answers are correct.
6. Missed exams and quizzes may not normally be made up without an institutional excuse. Exceptions
are subject to the judgment of the instructor.
7. Late project reports are subject to reduction in points.