Homework Policy and Suggestions

It's essential that you try to do as many problems as possible, because

• Math is not a "spectator sport", and you can't learn calculus just by watching your instructor or TA solve problems.
• Doing problems is the best way to test whether you understand the material and to find areas where you need more work.
• Some (not all) quiz questions and exam questions will be very similar to assigned homework problems and textbook examples.  Not understanding these problems simply guarantees that you'll throw away quiz and exam points.

As a result, homework will be assigned daily and collected weekly, on Fridays at the beginning of class.  Due to the size of the class, no late homework will be accepted.  The homework due each Friday will generally be the assignments from the previous Monday, Wednesday, and Friday lectures.  The lesson schedule will list the due dates for each assignment.  No homework will be collected the week of an exam.  Thus, there will be ten collected assignments throughout the semester, and each set will be worth a possible 10 points.  You will be allowed to drop your two lowest homework scores.  From each collected assignment, I will grade a single, solitary problem on a scale of 0 - 5 points.  The other 5 points will be all or nothing.  If every problem has been completed, then you will receive 5 points.  If not, then you will receive 0 points.

For example, suppose that on a certain assignment, Betty turns in all of the problems and gets 4/5 points on the graded problem.  Betty's score is 9/10 on the assignment.  However, if Bill also gets 4/5 on the graded problem, but fails to do just one of the other problems, then Bill gets 4/10 on the assignment. 

As this example shows, incomplete homework assignments will really drag your homework scores down, so please be diligent! 

Please write neatly and in complete sentences.  Show all of your work to receive full credit.  Unsupported answers will receive no credit.  (This policy also holds for the quizzes.)  There is an art to presenting mathematics clearly.  Let's aim to hone this skill!

Some of the problems assigned each day are routine "drill" exercises.  There are certain basic techniques in calculus that should become completely mechanical procedures for you:  procedures you can do "with your spine" rather than your brain. Other problems require more thought. Sometimes you'll think that you can do a problem but get stuck if you actually try to write down the details. It's important to write out neat careful solutions for yourself,  even in sections where homework is not collected. It's good to organize these in a separate notebook or file folder. You'll appreciate having them in one place when you want to review, especially if you can read them easily and don't have to work to decipher later what you did a few weeks earlier.

After you finish and write up a solution, go back and talk to yourself (or others) about the problem.  For example, ask  "What are the main ideas involved?",  "What's involved with this problem that puts it in this section of the book?", "Why couldn't I have done this problem last week?",  "Is there some other way to solve the same problem?" You can learn much more by solving the same problem in a different way, if possible, than by solving several problems all in more or less the same way.

In the same vein:  if a problem seems hard, don't give up and turn immediately to the solutions manual.  You can often learn a lot more by spending hours (perhaps not all at once!) grappling with a hard problem than by working many simpler problems in the same amount of time.

The "Principles for Problem Solving" in the text (pp. 88 ff.) may be helpful.  They're not magic, but they can help you organize your thoughts.  At the end of each chapter, the section "Focus on Problem Solving" illustrates how to apply these principles to some harder problems.

The answers to odd-numbered problems are in the back of the textbook.  The Student Solutions Manual, containing more complete solutions to odd-numbered problems, is available in the bookstore.  If you're interested, consider sharing a manual with one or more friends to save money.  We actually recommend against more than a casual use of the Solutions Manual: students become too dependent on it and don't develop confidence in their own work. You and your friends should usually be able to confirm solutions by comparing your work.  Moreover, convincing friends that your solution is correct, or becoming convinced by their alternative solution, helps teach the skills of communicating mathematical arguments.

A schedule of Daily Reading and Homework Problems is part of the syllabus. We will try to follow it fairly closely.  You will probably find the lectures more valuable if you read the assigned material and attempt some of the problems before coming to class.  There may be modifications to the assignment list as the course moves along, so you might want to print out a new copy of it immediately after each exam.