110.105 (Q)

INTRODUCTION TO CALCULUS (4) Staff  Limit 25 per section

Lec.

Sec. 01

02

MTW 10

F 9

F 10:30

110.106 (Q)

CALCULUS I (4) Howald            Limit 25 per section  Sec. 05 canceled 9/8/04.

Lec.

Sec. 01

02

03

04

05

 06

07

08

09

MTW 10

Th 9

Th 9

Th 9

F 9

F 9

F 10:30

Th 10:30

Th 12

F 12

110.107 (Q)   

CALCULUS II  (4) Song

Limit 25 per section   

FOR BIOLOGICAL AND SOCIAL SCIENCE MAJORS

Prereq: C- or better in Calculus I

Lec.

Sec. 01

02

03

04

MTW 10

Th 9

Th 9

Th 10:30

Th 12

110.108 (Q)

CALCULUS I (4) Budur

Limit 28 25 per section 

Lec. I

Sec. 01

02

03

Lec. II

04

05

MTW 10

Th 9

F 9

F 9

MTW 11

Th  12

F 12

110.109 (Q)

CALCULUS II (4) Spinu

Limit 25 per section      

Prereq: C- or better in Calculus I 

Lec. I

Sec. 01

02

03

04

Lec. II

Sec. 05

06

07

08

MTW 10

F 9

F 12

F 12

F 9

MTW 11

Th 10:30

Th 10:30

F 9

F 12

110.113 (Q)

HONORS CALCULUS II (4) Howald Limit 35 Prereq: A strong background in Calculus I, such as a 5 on the AP Calculus BC exam, or an “A” in 110.106 or 110.108     This is an honors alternative to 107 or 109 and meets general requirement for Calc. II. It is a more theoretical treatment of one variable integral calculus and is based on our modern understanding of the real number system as explained by Cantor, Dedekind, and Weierstrass. Rewarding to those who want to know the “why’s and how’s” of Calculus. Must already understand differential calculus (derivatives, differentiation, chain rule, optimization, related rates, etc.). Will learn about the theory of integration, the fundamental theorem(s) of Calculus, applications of integration, and Taylor series.

Lec.

Sec. 01

MTW 3

Th 3

110.201 (Q)

LINEAR ALGEBRA (4) Wilson Limit 25 per section  

Prereq: C- or better in Calculus I

Sec. 02 canceled 9/8/04.

Lec.

Sec. 01

02

03

04

05

MTW 3

F 10:30

F 10:30

F 12

F 12

F 12

110.202 (Q)

CALCULUS III (4) Zhang

Limit 28 per section.

Lec. I

Sec. 01

02

03

04

Lec. II

05

06

07

08

MTW 11

Th 10:30

Th 10:30

F 12

Th 12

MTW 12

F 12

Th 10:30

F 12

Th 12

110.204 (Q)

ELEMENTARY NUMBER THEORY (4) Shalika Prereq: One year of Calculus

Lec.

Sec. 01

MTW 12
MTW 2

F 12

110.211 (Q)

HONORS MULTIVARIABLE CALCULUS AND LINEAR ALGEBRA (4) Wentworth  Limit 35 Prereq: A grade of B+ or better in Calculus I, II, or 5 on the Calculus BC/AP Exam

Lec.

Sec. 01

MTW 12

F 12
Th 10:30

110.225 (Q)

PUTNAM PROBLEM SOLVING (3) Staff

Sec. 01

TTh 6-7:15pm

110.302 (E,Q)

DIFFERENTIAL EQUATIONS WITH APPLICATIONS (4) Shiffman Limit 35 per section.  Prereq: C- or better in Calculus II

Lec.

Sec. 01

02

03

04

MTW 1

F 10:30

F 10:30

F 12

F 12

110.311 (Q)

METHODS OF COMPLEX ANALYSIS (4.5) Spruck    Prereq: C- or better in Calculus III

Sec. 01

MTW 1

110.345 (Q)

BASIC NOTIONS IN MATHEMATICS (1) Howald   Prereq: Calculus III and Linear Algebra This once-credit, weekly seminar introduces students to a wide variety of exciting topics from higher mathematics, and to the people who study them. What kinds of questions does the discipline now face? What do specialties like the algebraic topology, algebraic geometry, analytic number theory, and Fourier analysis really mean to those who study them? How do career mathematicians think about their work? Course added 4/19/04

Sec. 01

W 4
W 3

110.401 (Q)

ADVANCED ALGEBRA I (4.5) Zucker   Limit 40 Prereq: Linear Algebra

Sec. 01

MTW 11

110.405 (Q)

ANALYSIS I (4.5) Minicozzi Limit 55 45 Prereq: Calculus III and Linear Algebra Sec.01 added 9/14/04.

Lec.

Sec. 01

MTW 1

F 9

110.407 (Q,N)

GEOMETRY & RELATIVITY (4.5) Morava Prereq: Calcalus II, Linear Algebra, General Physics II

Sec. 01

MTW 10
MTW 1

110.439 (Q)

INTRODUCTION TO DIFFERENTIAL GEOMETRY (4.5) Mese   Prereq: Calcalus II, Linear Algebra

Sec. 01

MTW 2

110.601

ALGEBRA Kong Prereq: 110.401-402

Sec. 01

MTW 3

110.605

REAL VARIABLES Zelditch Prereq: 110.405, 110.413 or equivalent.

Sec. 01

MTW 10

110.615

ALGEBRAIC TOPOLOGY  Boardman   Prereq:110.401, 110.413

Sec. 01

MTW 2 MTW 3

110.619

LIE GROUPS & LIE ALGEBRAS Shalika  Prereq: 110.402

Sec. 01

MTW 11

110.631

PARTIAL DIFFERENTIAL EQUATIONS Spruck Prereq: 110.605-606

Sec. 01

MT 10-11:30

110.641

HARMONIC ANALYSIS Yang

Sec .01

ThF 1-2:30

110.729

TOPICS IN COMPLEX GEOMETRY Shiffman/Wentworth/Zelditch Special topics in complex geometry: Hermitian holomorphic line bundles and vector bundles, Chern classes, degeneracy sets of sections, plurisubharmonic functions and singular Hermitian metrics. Distribution of zeros, random sections, and random analytical functions. Course added 8/19/04

Sec .01

W 3:30-5

110.733

TOPICS IN ALGEBRAIC NUMBER THEORY Ono

Sec. 01

T 1, F 2-3:30 MTW 1

110.761

HYPERBOLIC PDE Sogge

Sec. 01

TBA

110.799

THESIS RESEARCH

110.800

INDEPENDENT STUDY -GRADUATES