MAT 511 - Fundamental Concepts of Mathematics

Summer I 2019
Mathematics Department
Stony Brook University

Course Overview Schedule Resources

Calendar

Below is a tentative calendar for the course. Sections numbers refer to sections of the textbook.

Date    Subject Reference Homework
05/28   Elements of Mathematical Logic Sections 1.1 to 1.3. Homework 1 available.
05/30   Elements of inference. Sections 1.4 to 1.7.
06/04   Fundamentals of Set Theory Sections 2.1 to 2.3 Homework 2 available. Homework 1 due.
06/06   The Natural Numbers. Sections 2.4, 2.5 and 2.6.
06/11   Midterm
Homework 2 due.
06/13   Relations between sets. Sections 3.1, to 3.3 Homework 3 available.
06/18   Functions. Sections 4.1 to 4.4
06/20   Cardinality. Sections 5.1 to 5.3. Homework 4 available. Homework 3 due.
06/25   Comparability, the Axiom of Choice, and Zorn's Lemma.
06/27   Integers and Rationals

06/28   The Real Numbers

07/02   Final exam.
Homework 4 due

    The Grand Hilbert Hotel, by Jessica Gomes.

Contact information

  • Email: mgomes at math dot stonybrook dot edu
  • Office: Math Tower 3-101, Stony Brook University.
  • Office hours: Tuesdays and Thursdays, 1:00pm to 2:00 pm, in the Math Learning Center (Math Tower S-235). Tuesdays, 4:30 pm to 5:30 pm, in my office.

    • About the Instructor

    Marlon de Oliveira Gomes is a fifth-yeah Ph.D. student in the Mathematics Department at Stony Brook University.

    About the art

    Hilbert's hotel is a thought experiment that illustrates the counterintuitive properties of infinite sets. It is always fully booked, but there is always room for more.

    The facade is inspired by the architecture of Pelourinho, the historic center of Salvador, Brazil.

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