Coursebook List
This page contains classes I took and/or audited at UCLA, along with texts I found useful while studying the relevant topics. Note that the webpage is not up to date.
*: Courses I audited.
List of Courses
| Course Number | Course Name | Textbook | Other Useful Resources |
|---|---|---|---|
| MATH 32A | Multivariable Calculus | Rogawski, Calculus: Early Transcendentals | |
| MATH 32B | Multivariable Calculus | Rogawski, Calculus: Early Transcendentals | |
| MATH 32BH* | Multivariable Calculus (Honors) | Shurman, Calculus and Analysis in Euclidean Space | Rudin, Principles of Mathematical Analysis |
| MATH 33A | Linear Algebra with Applications | Bretscher, Linear Algebra with Applications | Strang, Introduction to Linear Algebra |
| Axler, Linear Algebra Done Right | |||
| MATH 33B | Introduction to Differential Equations | Lay, Linear Algebra and Its Applications | |
| MATH 101* | Putnam Seminar | Gelca & Andreescu, Putnam and Beyond | Putnam Competition Papers |
| MATH 110AH | Abstract Algebra (Honors): Group Theory | Elman, Lectures on Abstract Algebra | Dummit & Foote, Abstract Algebra |
| MATH 110BH | Abstract Algebra (Honors): Rings and Modules | Elman, Lectures on Abstract Algebra | Dummit & Foote, Abstract Algebra |
| MATH 110C | Abstract Algebra: Galois Theory | Elman, Lectures on Abstract Algebra | Dummit & Foote, Abstract Algebra |
| Artin, Galois Theory: Lectures Delivered at the University of Notre Dame | Rotman, Galois Theory | ||
| MATH 114C* | Computability Theory | Cutland, Computability: An Introduction to Recursive Function Theory | Moschovakis, Recusion and Computation |
| MATH 115AH | Linear Algebra (Honors) | Hoffman & Kunze, Linear Algebra | Axler, Linear Algebra Done Right |
| Petersen, Linear Algebra | |||
| MATH 115B* | Linear Algebra | Friedberg, Insel, Spence, Linear Algebra | |
| MATH 120A* | Differential Geometry | Shifrin, Differential Geomtery: A First Course in Curves and Surfaces | |
| MATH 121* | Introduction to Topology | Gamelin & Greene, Introduction to Topology | Munkres, Topology |
| MATH 131A* | Real Analysis | Ross, Elementary Analysis: The Theory of Calculus | |
| MATH 131AH | Real Analysis (Honors) | Rudin, Principles of Mathematical Analysis | Ross, Elementary Analysis: The Theory of Calculus |
| Copson, Metric Spaces | Tao, Analysis I & II | ||
| MATH 131BH | Real Analysis (Honors) | Rudin, Principles of Mathematical Analysis | Tao, Analysis II |
| Copson, Metric Spaces | |||
| MATH 132H | Complex Analysis (Honors) | Stein, Complex Analysis | |
| MATH 134* | Linear and Non-linear System of Equations | Strogatz, Nonlinear Dynamics and Chaos | |
| MATH 135 | Ordinary Differential Equations | Simmons, Differential Equations with Applications and Historical Notes | |
| MATH 136 | Linear and Non-linear System of Equations | Strauss, Partial Differential Equations, An Introduction | |
| MATH 151A* | Numerical Analysis | Burden & Faires, Numerical Analysis | |
| MATH 151B* | Numerical Analysis | Burden & Faires, Numerical Analysis | |
| MATH 156* | Machine Learning | Bishop, Pattern Recognition and Machine Learning | |
| MATH 164 | Optimization | Chong & Żak, An Introduction to Optimization | |
| MATH 170E | Probability | ||
| MATH 182 | Algorithm | ||
| MATH 191 | Category Theory: Algebra of Relations | Riehl, Category Theory in Context | Adámek, Herrlich, Strecker, Abstract and Concrete Categories: The Joy of Cats |
| Mac Lane, Categories for the Working Mathematicians | Awodey, Category Theory | ||
| MATH 205A | Algebraic Number Theory | ||
| MATH 210A | Algebra | Lang, Algebra | Hungerford, Algebra |
| MATH 210B | Algebra | Lang, Algebra | Hungerford, Algebra |
| MATH 210C | Algebra | Lang, Algebra | Hungerford, Algebra |
| MATH 212A | Homological Algebra | Hilton & Stammbach, A Course in Homological Algebra | Rotman, An Introduction to Homological Algebra |
| MATH 212B | Advanced Homological Algebra | ||
| MATH 214A | Introduction to Algebraic Geometry | Hartshorne, Algebraic Geometry | Vikil, The Rising Sea |
| MATH 214B | Introduction to Algebraic Geometry | Hartshorne, Algebraic Geometry | Vikil, The Rising Sea |
| MATH 215A | Commutative Algebra | Atiyah & Macdonald, Introduction to Commutative Algebra | Eisenbud, Commutative Algebra |
| MATH 225A | Differential Topology | ||
| MATH 225B* | Differential Geometry | ||
| MATH 225C* | Algebraic Topology | ||
| MATH 229A* | Lie Group and Lie Algebra | Hall, Lie Groups, Lie Algebras, and Representations | Fulton & Harris, Representation Theory |