Fall 2006 Textbooks
Course |
Lec # |
Course Title |
Instructor |
Author/Title |
Publisher |
1A |
1 |
Calculus |
Borcherds |
Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B |
Thomson Learning |
1A |
2 |
Calculus |
Haiman |
Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B |
Thomson Learning |
1A |
3 |
Calculus |
Steel |
Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B |
Thomson Learning |
1B |
1 |
Calculus |
Tataru |
Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B |
Thomson Learning |
1B |
2 |
Calculus |
Olsson |
Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B |
Thomson Learning |
16A |
1 |
Analytic Geometry & Calculus |
Woodin |
Goldstein "Calculus & Its Applications" (11th ed.) ISBN#053-626767-7 |
Prentice-Hall |
16A |
2 |
Analytic Geometry & Calculus |
Poonen |
Goldstein "Calculus & Its Applications" (11th ed.) ISBN#053-626767-7 |
Prentice-Hall |
16B |
1 |
Analytic Geometry & Calculus |
Harrington |
Goldstein "Calculus & Its Applications" (11th ed.) ISBN#053-626767-7 |
Prentice-Hall |
32 |
1 |
Precalculus |
Staff |
Cohen "Precalculus" (6th ed.) |
Thomson Learning |
53 |
1 |
Multivariable Calculus |
Givental |
Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 53 |
Thomson Learning |
53 |
2 |
Multivariable Calculus |
Rezakhanlou |
Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 53 |
Thomson Learning |
54 |
1 |
Linear Algebra & Differential Equations |
Gu |
Boyce Diprima "Elementary Differential Equations & Boundary Value Problems" (8th ed.) |
Wiley |
|
|
|
|
Hill "Elementary Linear Algebra" (3rd ed.) or Custom 54 |
Thomson |
54 |
2 |
Linear Algebra & Differential Equations |
Voiculescu |
Boyce Diprima "Elementary Differential Equations & Boundary Value Problems" (8th ed.) |
Wiley |
|
|
|
|
Hill "Elementary Linear Algebra" (3rd ed.) or Custom 54 |
Thomson |
55 |
1 |
Discrete Mathematics |
Holtz |
Rosen "Discrete Mathematics & It's Applications" (6th ed.) ISBN#0073229725 |
McGraw-Hill |
|
|
|
|
Grahm, Knuth and Patashnik "Concrete Mathematics" (2nd ed.) (Optional) |
Addison-Wesley |
74 |
1 |
Transition to Upper Division Mathematics |
Staff |
TBA |
|
74 |
2 |
Transition to Upper Division Mathematics |
Staff |
TBA |
|
H90 |
1 |
Honors Undergrad Seminar in Mathematical Problem Solving |
Kahan |
TBA |
|
104 |
1 |
Introduction to Analysis |
Zhan |
Ross "Elementary Analysis: The Theory of Calculus& |
Springer |
104 |
2 |
Introduction to Analysis |
Reimann |
Ross "Elementary Analysis: The Theory of Calculus& |
Springer |
104 |
3 |
Introduction to Analysis |
Zhan |
Ross "Elementary Analysis: The Theory of Calculus& |
Springer |
104 |
4 |
Introduction to Analysis |
Jones |
Pugh "Real Mathematical Analysis" |
Springer |
104 |
5 |
Introduction to Analysis |
Chorin |
Ross "Elementary Analysis: The Theory of Calculus& |
Springer |
H104 |
1 |
Honors Introduction to Analysis |
Bergman |
Rudin "Principles of Mathematics Analysis& (3rd ed.) |
McGraw-Hill |
110 |
1 |
Linear Algebra |
Holtz |
Friedberg, Insel & Spence "Linear Algebra" (4th ed.) |
Pearson Ed. |
H110 |
1 |
Honors Linear Algebra |
Harrison |
Sheldon Axler "Linear Algebra Done Right" (2nd ed.) |
Springer |
113 |
1 |
Abstract Algebra |
Caviglia |
Beachy & Blair "Abstract Algebra" |
Waveland Press |
113 |
2 |
Abstract Algebra |
Mason |
Fraleigh "A First Course in Abstract Algebra" |
Prentice-Hall |
113 |
3 |
Abstract Algebra |
Givental |
Solomon "Abstract Algebra" |
Thomson/Brooks Cole |
113 |
4 |
Abstract Algebra |
Krueger |
Dummit & Foote "Abstract Algebra" |
Wiley |
115 |
1 |
Introduction to Number Theory |
Ribet |
Erdos & Suranyi "Topics in the Theory of Numbers" |
Springer |
118 |
1 |
Wavelets and Signal Processing |
Evans |
Bogess & Narcowich "A First Course in Wavelets with Fourier Analysis" |
Prentice-Hall |
121A |
1 |
Mathematical Tools for the Physical Sciences |
Gurevich |
Boas "Mathematical Methods in the Physical Sciences" (3rd ed.) |
Wiley |
123 |
1 |
Ordinary Differential Equations |
Coleman |
"Ordinary Differential Equations & Stability Theory: An Introduction" (please purchase from Professor Coleman) |
|
|
|
|
|
Sanchez "Ordinary Differential Equations: A Brief Eclectic Tour (Classroom Material)" (Optional) (available at the bookstore) |
|
125A |
1 |
Mathematical Logic |
Slaman |
Will use own notes. |
|
128A |
1 |
Numerical Analysis |
Tu |
Burden & Faires "Numerical Analysis" (8th ed.) |
Thomson/Brooks Cole |
135 |
1 |
Introduction to the Theory of Sets |
Silver |
Enderton "Elements of Set Theory" |
Academic Press |
140 |
1 |
Metric Differential Geometry |
Evans |
Millman & Parker "Elements of Differential Geometry" |
Prentice-Hall |
141 |
1 |
Elementary Differential Topology |
Karp |
Guillemin & Pollack "Differential Topology" (1974) |
Prentice-Hall |
151 |
1 |
School Curriculum |
Wu |
No text used. |
|
185 |
1 |
Complex Analysis |
Teleman |
Needham "Visual Complex Analysis" (1999) |
Oxford University Press |
185 |
2 |
Complex Analysis |
Kahan |
TBA |
|
185 |
3 |
Complex Analysis |
Metcalfe |
Brown & Churchill "Complex Variables and Applications" |
McGraw-Hill |
202A |
1 |
Topology & Analysis |
Holmer |
Stein & Shakarchi "Real Analysis: Measure Theory, Integration & Hilbert Spaces" (2005) |
Princeton University Press |
|
|
|
|
Royden "Real Analysis" (3rd ed.) (Optional) |
Prentice-Hall |
204A |
1 |
Ordinary and Partial Differential Equations |
Wilkening |
Coddington "Theory of Ordinary Differential Equations" (1955) |
Krieger Publishing Co. |
205 |
1 |
Theory of Functions of a Complex Variable |
Sarason |
Ahlfors "Complex Variables" (3rd ed.) |
McGraw-Hill |
206 |
1 |
Banach Algebras & Spectral Theory |
Sarason |
Rudin "Functional Analysis" (2nd ed.) |
McGraw-Hill |
215A |
1 |
Algebraic Topology |
Teichner |
Hatcher "Algebraic Topology" |
Cambridge University Press |
|
|
|
|
Bredon "Topology and Geometry" (Optional) |
Springer |
221 |
1 |
Advanced Matrix Computations |
Strain |
Demmel "Applied Numerical Linear Algebra" (1997) |
SIAM |
|
|
|
|
Trefethen "Numerical Linear Algebra" (1997) (Optional) |
SIAM |
|
|
|
|
Golub & Van Loan "Matrix Computations" (Optional) |
Johns Hopkins University Press |
|
|
|
|
Higham "Accuracy & Stability of Numerical Algorithms" (1996) (Optional) |
SIAM |
222A |
1 |
Partial Differential Equations |
Tataru |
Evans "Partial Differential Equations" (1998) |
AMS |
224A |
1 |
Mathematical Methods for the Physical Sciences |
Rezakhanlou |
No text used. |
|
225A |
1 |
Metamathematics |
Harrington |
Hodges "A Shorter Model Theory" (Optional) |
Cambridge University Press |
228A |
1 |
Numerical Solution of Differential Equations |
Wilkening |
Iserles "A First Course in the Numerical Analysis of Differential Equations" |
Cambridge University Press |
|
|
|
|
Morton "Numerical Solution of Partial Differential Equations" |
Cambridge University Press |
|
|
|
|
Hairer "Solving Ordinary Differential Equations" (Optional) |
Springer |
229 |
1 |
Theory of Models |
Scanlon |
No text used. |
|
242 |
1 |
Riemannian Geometry |
Blohmann |
Ana Cannas da Silva "Lectures on Symplectic Geometry" |
Springer |
249 |
1 |
Algebraic Combinatorics |
Serganova |
Stanley "Enumerative Combinatorics" (Vol. I & II) |
Cambridge University Press |
250A |
1 |
Groups Rings and Fields |
Bergman |
Lang "Algebra" (3rd ed.) (2002) |
Springer |
254A |
1 |
Number Theory |
Vojta |
Neukirch "Algebraic Number Theory" (1999) |
Springer |
256A |
1 |
Algebraic Geometry |
Osserman |
Hartshorne "Algebraic Geometry" (1997) |
Springer |
|
|
|
|
Eisenbud & Harris "The Geometry of Schemes" (2001) (Optional) |
Springer |
258 |
1 |
Classical Harmonic Analysis |
Christ |
Katznelson "An Introduction to Harmonic Analysis" (Optional) |
Dover |
|
|
|
|
E.M. Stein "Harmonic Analysis: Real-Variable Methods, Orthogonality, & Oscillatory Integrals" (Optional) |
Princeton University Press |
270 |
1 |
Hot Topics in Mathematics |
Teichner |
No text used. |
|
271 |
1 |
Topics in Foundations |
Addison |
No text used. |
|
274 |
1 |
Topics in Algebra |
Lam |
Kaplansky "Commutative Rings" (The textbook is available only through Polygonal Publishing House and costs a modest $18 with a possible discouont if multiple copies are ordered. Please contact Professor Lam regarding the purchase of this textbook.) |
Polygonal Publishing House |
|
|
|
|
Atiyah-MacDonald "Introduction to Commutative Algebra" (Optional) |
Addison-Wesley |
|
|
|
|
Hutchins "Examples of Commutative Rings" (Optional) |
Polygonal Publishing House |
|
|
|
|
Lam "First Course in Noncommutative Rings" (Optional) |
Springer |
279 |
1 |
Topics in Partial Differential Equations |
Zworski |
Will use on-line notes. |
|
300 |
1 |
Teaching Workshop |
|
To Be Announced |
|