Course Guide and Syllabus: printable pdf version of the handout distributed on the first day of class. The course guide includes information on office hours, homework, grading policy, exam dates, etc.
The topics we will cover include:
- l'Hopital's rule
- Techniques of integration: substitution, integration by parts, partial fractions, trigonometric substitutions.
- The Riemann sum definition of the integral
- Numerical techniques for integration
- Applications of integration: arc length, volume, work
- Separable differential equations
- Sequences
- Series
- Taylor polynomials and series
Please bring your textbook to class every day.
http://www2.kenyon.edu/Depts/Math/Paquin/math112.html
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Section 1: Monday 10:10-11:00, Wednesday 10:10-12:00, Friday 10:10-11:00; Peirce 001
Section 2: Monday 3:10-4:00, Wednesday 2:10-4:00, Friday 3:10-4:00; RBH 311You can find a detailed schedule by topics on the Course Schedule page.
There will be some work done (both in class and outside of class) with the computer algebra system Maple. I will not assume that you know any Maple functions or syntax, so you will learn what you need to know as we go along. Calculators will not be used in a systematic way. We will have a great time using Maple to visualize concepts and to simplify computations! Click on this link for some online Maple references. Maple is available in RBH 311 and RBH 203 (when classes are not in session). Maplbe is also available for installation on your personal computer; contact Terry Klopcic if you are interested in installing Maple on your personal computer.
Calculus from Graphical, Numerical, and Symbolic Points of View, Second Edition, Volume 2, Arnold Ostebee and Paul Zorn. The textbook should be available in the bookstore. Please let me know as soon as possible if you have any trouble obtaining a copy of the textbook. Occasionally, we will cover material taken from other volumes of your textbook (most notably, sections 4.2 and 2.5), or material from other textbooks. When this happens, I will photocopy the relevant text and distribute the photocopies in class.
The best way to learn mathematics is by doing mathematics; thus, homework will be assigned daily. Homework to be graded will be collected once per week, typically on Mondays. It serves as your opportunity to make sure that you can not only solve the problems, but also explain your solutions carefully, as this is the only way to be sure that you understand the underlying concepts. It is your job to explain your solution to the reader, not the reader's job to search for a right idea buried in what you have written. Although you are encouraged to work with other students on homework problems, you must write up your final solutions on your own, as the homework is intended to be preparation for the quizzes and exams. Homework may involve computer exercises as well as hand-written and computer explanation. Homework should be legible with explanations written in complete sentences. Illegible homework will not be read or graded.Homework must be turned in by the beginning of class on the given due date. No late homework will be accepted. If you know that you will be missing class, you must turn in your homework before you leave. Extensions may be granted for extenuating circumstances, but these must be discussed with me as early as possible.
In addition to the weekly homework that will be graded and collected, I will also post daily practice problems for you to work on. Although these problems will not be graded or collected, I strongly encourage you to solve the practice problems. You should work on the practice problems after each lecture (on the same day as the lecture). Problems on quizzes will be taken verbatim from the suggested daily homework problems. Note that you should also be reading the textbook sections as you do the daily homework--the examples are a great help.
Homework assignments and additional information about the homework are on the Homework page.
The ability to express your thoughts coherently in writing is an important mathematical tool. During the semester, you will be asked to complete one laboratory exercise which will require the submission of a written report. This assignments will be discussed in more detail in class.
On most Wednesdays, there will be a short quiz consisting of a few problems taken from the suggested daily homework problems (verbatim). Quizzes and their solutions are on the Quizzes page.
There will be two in-class exams and a comprehensive final exam in this course. The exam dates are as follows:
- Exam 1: Wednesday, February 20, 2008
- Exam 2: Wednesday, April 16, 2008
- Comprehensive Final Exam: Section 1 (10:10-11:00 section): May 8, 8:30-11:30 am; Section 2 (3:10-4:00 section): May 5, 1:30-4:30 pm
Note that the final exam is 3 hours in length!
Information regarding the exams can be found on the Math 112 Exam Information page.
The basis for your grade in this class has the following components:
- Homework: 10%
- Quizzes: 5%
- Laboratory Report/Writing Project: 10%
- Exam 1:20%
- Exam 2: 20%
- Final Exam: 25%
- Gateway Exam: 10%
There are no predetermined numerical cutoffs for letter grades.