Syllabus for MAT228, Fall 2009

INSTRUCTOR: Andy Long. Office: ST 328; phone: 572-5794; email: longa@nku.edu

MEETING TIME/PLACE (3 credit hours): TR 12:15-1:30 ST 247

OFFICE HOURS:

I am also available by appointment, and at random when approached with a smile.

CATALOG DESCRIPTION: MAT 228 Calculus C (3,0,3) Includes material covered in the last third of the MAT 129-MAT 229 sequence. Approximate integrals, improper integrals, infinite sequences and series, tests for convergence and divergence, power series, Taylor and Maclaurin series with applications; introduction of vectors and Geometry of space; dot product and cross product. Credit is not given for both MAT 228 and MAT 229. PREREQ: C or better in MAT 227.

If you have doubts or concerns about your background, please see me as soon as possible.

TEXT: Calculus, first edition, by Jon Rogawski. We will cover material from chapters 8, 9, 11, and 13, making use of the TI-92 or TI-89 calculators (or the like -- if you do not have one of these, you will need to obtain one).

GRADING: There will be two exams and a comprehensive final. Homework will be assigned regularly, and some brief quizzes will be administered to check that you're doing the reading in advance of class.

Your course grade will be determined as follows:

Quizzes 10%
Homework 30%
Two Exams 40%
Final 20%

I use the standard grading scale, with a small buffer zone for the assignment of plus/minus grades:

<60 60-70 70-71 71-79 79-80 80-81 81-89 89-90 90-91 >91
F D C- C C+ B- B B+ A- A

The tests will be given in class. All will be closed book. Make-up exams will not be given except in extreme circumstances. If I excuse a student from an exam (again, for some extreme reason), the student's course grade will be calculated based on the rest of the semester's work.

HOMEWORK: Homework will be assigned regularly. You should expect to do a lot of homework, and to do it well, in order to succeed in this course. You should also expect to go to the board occasionally: we will often spend class time at the board, attempting problems together.

ATTENDANCE: The student is responsible for all material assigned or discussed in class. Attendance will be taken, and may be used along with class effort (as measured by participation - asking questions, answering other students' questions, group work, etc.) to resolve borderline grades.

WITHDRAWAL: The last day to withdraw from any class with a "W" is 11/2. After that day it is not usually permitted.

LEARNING OBJECTIVES: are on-line:
Pre-requisite
The student will know the mathematics needed to have a reasonable expectation of success in the mathematics and statistics courses for which Calculus C is a pre-requisite.
Breadth
The student will be able to solve problems involving series, sequences, vectors, vector operations, and techniques and applications of integration.
Communication
The student will be able to write clear explanations of the techniques of calculus including the proper use of standard mathematical notation.
Connections/applicability
  • The student will be able to model applications by using calculus.
  • The student will be able to apply the content from Calculus A and B to solve problems in Calculus C.
Mathematical thinking
  • The student will be able to recognize the problem type, select an appropriate solution strategy and apply rules and procedures for solving the problem.
  • The student will begin to be able to apply theorems in order to solve problems.
Technology
The student will be able to use a CAS to graph functions, calculate summations, display multiple representations of series, and implement vector operations.
Content
  • To increase the skill set of integration techniques that students know.
  • To introduce the ideas of infinity, infinite sequences, and the notation and concept of summation (especially adding up an infinite number of terms).
  • To extend the notion of the summation of sequences of numbers to the summation of functions, and especially an infinite number of functions.

Notes:


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