Advanced Calculus - MA 3831 - Term A 2009
Advanced Calculus is a two-part course giving a rigorous presentation of the important concepts of classical real analysis. Topics covered in the two-course sequence include: basic set theory, elementary topology of Euclidean spaces, limits and continuity, differentiation Reimann-Stieltjes integration, infinite series, sequences of functions, and topics in multivariate calculus.
Notes, textbooks and calculators are not allowed during prelims and the final examination. All examinations take place in Stratton Hall 106.
Preliminary examinations count 20% each, the final 35%, and the remaining 25% is apportioned among homework, quizzes and class participation. 1% bonus points up to a maximum of 5% is awarded for each participation in the extracurricular mathematical activities (1) Math Club and (2) WPI Undergraduate Mathematics Lecture Series. Up to 5% bonus points are awarded for the completion of mini-projects in analysis (these will be posted on this website soon and are due at the end of the term, you may work in teams of three).
Grades of A,B,C are guaranteed by final averages of 90%, 75% and 60%, respectively. A grade of NR will be assigned to overall performances in the course which below the 60% treshold.
Homework will be assigned weekly. It will be collected on Mondays during lecture and returned to you on Thursdays during lecture. Do all problems assigned, though only some will be graded. Please be sure that (1) your work is legible; (2) the problems are listed in the order they were assigned; (3) the solution of each problem is written on a separate page/pages. The assignments will be posted on this website.Homework 1 (due September 8) Homework 2 (due September 14) Homework 3 (due September 28) Homework 4 (due October 12)
No late homework will be accepted. You may work cooperatively on assignments provided that:
There will be a short quiz every Tuesday,unless otherwise announced. It will be returned to you on Thursday.
An incomplete will be given only in those rare circumstances where a student has completed all but a small portion of the course with a grade C or better and a severe, unexpected event prevents him/her from completing the course. In particular, if you get behind in the course you cannot ``bail out" by taking an incomplete.
You are responsible for the material covered in class, whether you attend or not. You are also responsible for the announcements made during class; these may include changes in the syllabus.
All acts of fabrication, plagiarism, cheating, and facilitation will be prosecuted according to the university's policy. If you are ever unsure as to whether your intended actions are considered academically honest or not, please see the course instructor. When in doubt about plagiarism or collaboration, consult the course instructor.
If you are eligible for course adaptations or accommodations because of a disability (whether or not you choose to use these accomodations), or if you have medical information that I should know about please make an appointment with me immediately.