Math 212 – Calculus II

Fall 2003 Syllabus

Course Information

Math 212, 4 credits.

Section 01 MTWF 8 - 8:50, MCT 263

Section 02 MTWF 9 - 9:50, MCT 263

Instructor

Dr. James E. Hamblin

MCT 272, extension 1592.

jehamb@ship.edu

Office hours: M 2-3, T 10-11, 1-2, W 10-11, 2-3, or by appointment.

Prerequisites

Math 211, Calculus I or the equivalent placement.  We will briefly review some topics from Calc I at the beginning of the semester, but you should go back and review anything that comes up that you don't remember.  As in Calc I, you should be comfortable with algebraic manipulations, solving equations, trigonometry, etc.  If you feel uncomfortable with any of these topics, I strongly suggest that you pick up a study guide (for example, a Schaum’s outline).

Purpose of Course

Calculus is an important mathematical tool which has applications in many different areas.  In this course we will continue the study of both differential and integral calculus.  We will study differential equations, sequences and series, and begin to investigate three-dimensional geometry.

Objectives

Keep these objectives in mind when thinking about what to study for exams.

• To understand advanced techniques of integration
• To understand some applications of integration
• To revisit the topic of limit and understand it in further detail.
• To understand various aspects of sequences and series including tests for convergence and divergence, power series and Taylor series
• To understand what differential equations are and how to solve certain types of differential equations.

Textbook

Calculus, Early Transcendentals, 4^th Edition by James Stewart.  This course will cover most of Chapters 7 through 9 and 11.

Calculators and Computers

An important part of our class will be spent illustrating ideas with a calculator.  Each student should bring a graphing calculator to class every day.  I will be demonstrating with a TI-83, although this exact model is not essential.  Some homework problems may also require use of calculators, and calculators will be permitted on exams.

 

We will be spending one day a week working with Maple, a computer mathematics system.  You may be required to do some work with Maple for certain assignments.  This software is available in the Computer Science computer lab on the first floor of MCT, and the hours for that lab are posted on the door.

Homework and Quizzes

For each section we cover, there will be a list of homework exercises.  You are not required to hand in any of these exercises. However, each week we will have a short quiz based on the previous week's homework. I will not give make-ups for missed quizzes, but I will drop the two lowest quiz grades.

Getting Help

I greatly encourage you to ask questions on the homework during class, though of course we cannot spend the entire class period on these.  Any unresolved questions can be saved for office hours or review sessions.  Remember that you don't need an appointment to come by during office hours.  You can also come by my office outside of office hours, but I may not be there.  It's probably best to call or email first to set up an appointment if you can't come during office hours.

 

My highest priority in teaching this course is to make sure that each student understands as much of the material as possible.  To that end, questions are always encouraged, both in and out of class.  If, for whatever reason, you want or need additional help, the math department and LAC offer tutoring services.

Exams

There will be three preliminary exams, and a cumulative final exam.  While the midterms will not be specifically cumulative, it is the nature of this course that some later topics will depend on earlier topics.  The midterms will be in class on the following dates:

• Tuesday, September 23, 2003

• Tuesday, October 21, 2003

• Tuesday, November 18, 2003

 

The final exam date and time will be announced toward the end of the semester.  If you have a conflict for any exam, you must let me know BEFORE the exam so that we may schedule a make-up exam.  In the event that you do miss an exam, you need to contact me as soon as possible to explain why you missed the test and when you will take a make-up. 

Grading

Here is how the grades will break down:

 

In terms of letter grades, here is the breakdown:

 

 

The actual grade ranges may end up being lower than this.

Plagiarism

In short, plagiarism will not be tolerated.  While I encourage you to work together with your fellow students in class and on homework assignments, the work you hand in must be your own.  When you are writing up your solutions to hand in, you should not be looking at anyone's work except your own.  Cheating of any kind will be dealt with severely.

Calendar

This is a very tentative course calendar, but should give you an idea about the sequence of topics and the approximate amount of time we will spend on each section.

 

Chapter 6: Applications of Integration	6.1, 6.2 (review)	1/2 week
Chapter 7: Techniques of Integration	7.1, 7.2, 7.4, 7.6, 7.7	2 weeks
Chapter 8: Further Applications of Integration	8.1, 8.3	1/2 week
Limits	2.2, 2.3, 2.6, 4.4, 7.8, 8.5	2 weeks
Chapter 11: Sequences and Series	11.1 - 11.6	2-3 weeks
Chapter 9: Differential Equations	9.1 - 9.5	2 weeks

We will also have to include time for exam reviews, exams, and time to catch up if we fall behind this schedule. 

 

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