18.100: Analysis I


Time and place: MW 10:00-11:00 in 2-147 and F 1:00-2:00 in 2-135.

Text: Walter Rudin: Principles of Mathematical Analysis. Third Edition, available at the Coop.

Please see the syllabus for a course description and a course schedule.

Handouts:

A handout on decimals.

A handout on the existence theorem for solutions to differential equations.

Quizzes:

These are brief in-class quizzes.

Quiz 1.

Quiz 2.

Quiz 3.

Quiz 4.

Quiz 5.

Quiz 6.

Quiz 7.

Problems sets:

Problem set 1. (Includes a note on decimals.)

Problem set 2.

Problem set 3.

Problem set 4. (Includes a note on separable metric spaces.)

Problem set 5.

Problem set 6.

Problem set 7.

Problem set 8. (Includes a note on solutions to differential equations.)

Problem set 9.

Problem set 10.

Problem set 11. (Includes a note on Abel's theorem.)

Problem set 12.

Problem set 13.