Link to the previous Syllabi
Advanced Calculus I
MATH 410, Spring 2014
- Lectures : Monday-Wednesday-Friday 1:00-1:50pm, Math building room 0305
- Instructor : Pierre-Emmanuel Jabin
- Contact information, Phone : 301 405 5122,
Office : 2307 in Math. Bldg and 4117 in Cscamm, e-mail : email@example.com
- Office hours: Monday-Friday 10:30-12:00
- Textbook: Advanced Calculus, by M. Fitzpatrick, 2nd edition, ISSBN 9780821847916.
- Material: A more complete description of the material covered week by week and assignmnents can be found at the address http://www2.cscamm.umd.edu/~jabin/Schedule_410_14.html
- Homework: There will be several homework assignments, and tests...
- Examination: 1 midterm and a final exam.
- If you cannot be present for a test, please
inform me at least one week in advance and one month in the case of the
midterm. Partial credit will be given for homeworks submitted late.
20% for the homework, 20% for the tests, 30% for
the midterm and 30% for the final exam. Letter grades will be based on
at the end of the semester, according to the following scheme: 90%-A;
80%-B; 70%-C; 50%-D; less than 50%-F.
- Disabilities : Please inform me as soon as possible if
you need accommodations because of a disability.
- Communication : Informations about the course
will be given during class and through this web page. In specific cases (unexpected class
cancellations), students will be contacted by e-mail.
- Academic integrity : The University of Maryland,
College Park has a nationally recognized Code of Academic Integrity,
administered by the Student Honor Council. This Code sets standards for
academic integrity at Maryland for all undergraduate and graduate
students. As a student you are responsible for upholding these
standards for this course. It is very important for you to be aware of
the consequences of cheating, fabrication, facilitation, and
plagiarism. For more information on the Code of Academic Integrity or
the Student Honor Council, please visit www.shc.umd.edu. To further
exhibit your commitment to academic integrity, remember to sign the
Honor Pledge on all examinations and assignments: "I pledge on my honor
that I have not given or received any unauthorized assistance on this
- Some examples about academic integrity : It is
all right for students to discuss between them about the homework
assignments. It is similarly permitted to look for tips
on the internet, from other students or other resources. It is wrong to
simply copy the solution to a homework exercise from any student, a
book, a web page or any other source.
Course Description (Preliminary)
This class will construct the main tools and results of Calculus for real numbers
- Quantifiers in mathematics, induction argument, argument by contradiction...
- Construction of the real numbers. Sequences: Precise notion of limit, Cauchy sequence...
- Continuity/derivation of functions: Precise definition, main results
- Integration: Rigorous construction of the Riemann integral, main properties... Some notions of the L^1 space.
- Series of number and functions: Simple, absolute, uniform and normal convergences.