This course provides a rigorous introduction to the theory underlying calculus. It covers elements of the set theory, real number system, topology of the real line, continuous and differentiable functions of one variable, integration, complex numbers, numeric and functional series, elementary functions. It is designed as a first course with rigorous proofs. The concept of the proof is discussed at the very beginning.
Take home assignments form an important part of the course. They contain the main the the supplementary part. The first one helps the students to get necessary skills. The second one is oriented to develop the creative approach to mathematics, and to rediscover the material rather than memorize it.
Weekly take home assignments together with three quizzes form 60% of the grade; two prelims form 20%; the final exam forms 20%. Each student in this course is expected to abide by the Cornell University Code of Academic Integrity. Any work submitted by a student in this course for academic credit will be the students' own work.
Tutor information: Students can receive free tutoring from knowledgeable undergrads in a
wide range of courses ?(including 4130 ). ?Schedules for tutors and the courses they are
comfortable helping in is posted on the board outside the Center (Malott 256) and on
the website www.math.cornell.edu/msc.
Prerequisite: A high level of performance in Math 2210-2220,2230-2240 or 1930-1940.
Textbook: Strichartz, Robert, The way of Analysis (revised edition) Jones and Barlett, 2000.
Section 1 (TR 8:40-9:55, 406)
Instructor: Yulij Ilyashenko. Office hours: Wednesday 5-6 pm at Malott 511. Email:yulij@math.cornell.edu
TA: Tianyi Zheng. Office hours: Friday 2:30-4:30pm at Malott 218. Email:tzheng@math.cornell.edu
Homework Assignments (Posted here every week)