# 3 Classes (36 Units)

**9.01**(12),

**18.100B**(12),

**18.510**(12)

# 9.01 Introduction to Neuroscience

Introduction to the mammalian nervous system, with emphasis on the structure and function of the human brain. Topics include the function of nerve cells, sensory systems, control of movement, learning and memory, and diseases of the brain.

This class has no prerequisites.

9.01 will be offered this semester (Fall 2018). It is instructed by M. Bear.

This class counts for a total of 12 credits.

You can find more information at the MIT + 9.01 - Google Search site.

# 18.100B Real Analysis

Three options offered, each covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchangeFour options offered, each covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. Each option shows the utility of abstract concepts and teaches understanding and construction of proofs. Option A: Proofs and definitions are less abstract. Gives applications where possible. Concerned primarily with the real line. Option B: More demanding; for students with more mathematical maturity. Places more emphasis on point-set topology and n-space. Option P: 15-unit (4-0-11) variant of Option A, with further instruction and practice in written communication. Option Q: 15-unit (4-0-11) variant of Option B, with further instruction and practice in written communication.

This class has 18.02 as a prerequisite.

18.100B will be offered this semester (Fall 2018). It is instructed by D. Jerison.

Lecture occurs 1:00 PM to 2:30 PM on Mondays and Wednesdays in 4-163.

This class counts for a total of 12 credits.

You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.100B&btnG=Google+Search&inurl=https site or on the 18.100B Stellar site.

# 18.510 Introduction to Mathematical Logic and Set Theory

Propositional and predicate logic. Zermelo-Fraenkel set theory. Ordinals and cardinals. Axiom of choice and transfinite induction. Elementary model theory: completeness, compactness, and Lowenheim-Skolem theorems. Godel's incompleteness theorem.

This class has no prerequisites.

18.510 will be offered this semester (Fall 2018). It is instructed by H. Cohn.

This class counts for a total of 12 credits.

You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.510&btnG=Google+Search&inurl=https site.