Our textbook is "Advanced Calculus" (4-th Edition), by Wilfred Kaplan
 

Syllabus:

·Chapter 2:Differential Calculus of Functions of Several Variables (Sections 1-20) [12 Lectures]
 

·Chapter 5: Vector Integral Calculus (Sections 1-13) [14 Lectures]
 

·Chapter 6: Applications [5 Lectures] 

1·Exams and leeway: [5 Lectures]

·Total of 43 Lectures
 
 

Slight deviations in speed with which we move through the syllabus are possible. Some topics may have to be omitted or covered in less detail. However, under no circumstances will we cover any material not included in the above syllabus.

Keep in mind the following considerations:

• This is a very fast-paced, intensive and challenging course. There will be no time for relaxing and taking it easy!
• If you feel that you cannot invest sufficient time in the course for some reason, such as work or family obligations, you should not register for this section!
• The course requires A GREAT DEAL of independent work on your part, including independent reading. Some material (by necessity) will be covered only briefly in class and you will be expected to fill in the details by reading the appropriate chapter yourselves. You should expect to spend at least four hours every week doing homework.  Since the syllabus is very loaded and there are no recitation classes, I will usually have little or no time for going over homework problems in class. I will distribute solutions to homeworks and exams but you will have to come and see me during office hours (or by appointment) to ask homework related questions.
• Be aware that the textbook is rather dry and formally written
• This course deals with important (if fairly abstract) mathematical material and a certain amount of time will be spent doing proofs of main theorems. If time does not allow this, an informal intuitive explanation of the proofs will be given. In any event, you will be expected to know the statements of the main theorems and be able to apply them correctly.
• This course absolutely requires you to have very solid backgrouond in Calculus I and II. If you have trouble taking an indefinite integral of   x*sin x   or of     x/(x+1),    you should seriously consider whether you should be taking this course.
• Do not be afraid to ask me for an off-hours appointment. I'll always try to accomodate you.
• If you have a short question (e.g. regarding a particular h/work problem), I recommend that you e-mail me. I always respond to e-mails fairly quickly.
• Do not be afraid to come and ask for help if you are having problems with the course!  This is greatly encouraged. Most importanly, do not wait too long. If you only come to me at the end of the semester, it will probably be too late.
• Check your grade records at Score Reports regularly during the semester and let me know if you see any mistakes or inconsistencies
• Unlike with late homeworks, my policy regarding quizzes is fairly flexible. If you miss a regular quiz and provide a satisfactory excuse, I will give usually you a make-up quiz.  This ordinarily has to be done during my office hours the next week after the missed quiz.
• Your attendance of the lectures is both expected and required.  I will take attendance in the beginning of every class (However, see the remark below about walking out in the middle of a lecture. Such an action will definitely nullify your attendance that day!)
• Be aware of certain important "don't"s:
• DO NOT walk out of the class before  the lecture is over!!!  I consider this to be extremely rude and will hold it against you!!!
• DO NOT be more than 5 minutes late.
• DO NOT allow your cell-phone to ring during the class.
• DO NOT tell me that you "really, really, really need such and such a grade" to keep up your GPA, to get into a particular graduate or professional school  or because you have shown some improvement or becuase you had to work during the semester. I consider such arguments extremely unmeritorious. When determining your grade, I will only look at your actual course performance. The only mitigating circumstances I take into account are medical, family or other emergencies.
• DO NOT try to hand me in your late homework on Friday if it was due on Wednesday. Late homework is generally not accepted since by Friday I will have already passed the h/work to the TA for grading. (Remember that your two low h/work scores are dropped in the end). In the worst case you can put your homework in my mailbox [located in Altgeld Hall, room 250] by 10am the day after this h/wk was due .  In this case you will have to supply a convincing explanation why you missed the due date.
• DO NOT ask me to give you a "conflict final" unless you really have a conflict.

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