Department of Mathematics & Statistics AMB 131 928-523-6879

Dr. John Hagood http://oak.ucc.nau.edu/hagood

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 / Topic / Text Material
January 14 – February 1 / Integration Methods / Chapter 5
Review 5.1 – 5.5; 5.6 – 5.10
February 4 / Exam One (Chapter 5)
February 5 – February 20 / Applications of Integration / Chapter 6
Sections 6.1 – 6.5
February 22 / Exam Two (Chapter 6)
February 25 – March 11 / Differential Equations / Chapter 7
Sections 7.1 – 7.4; 7.5 and 7.6 if time
March 12 / Exam Three (Chapter 7)
March 14 – April 15 / Sequences and Infinite Series / Chapter 8
Sections 8.1 – 8.9
April 16 / Exam Four (Chapter 8)
April 17 – May 2 / Vectors, Lines and Planes / Chapter 9
Sections 9.1 – 9.5
May 7 / Comprehensive
Final Exam / 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.