Problems

• Mathematical Trivium problem collection

• Duke analysis and linear algebra quals

• UCLA practice GRE problems, without solutions

• UCLA basic exam problems: linear algebra

• UCLA basic exam problems: analysis

• Multiple-choice calculus questions from a practice test

• Multiple-choice linear algebra questions from a practice test

• Sequence and series problems with solutions

Multiple-choice review questions by chapter

• Chapter 1: equations, inequalities, conic sections, polynomials, logarithms, and trigonometric and hyperbolic functions

• Chapter 2: limits, derivatives, integrals, improper integrals, and series

• Chapter 3: vectors, lines and planes, partial derivatives, optimization, and line and multiple integrals

• Chapter 4: differential equations

• Chapter 5: linear systems, matrices, linear transformations, and eigenvalues

• Chapter 6: number theory, groups, rings, and fields

• Chapter 7: logic, sets, combinatorics, graph theory, probability, Lebesgue measure, complex variables, and algorithms

Exams

• UCLA Basic Examination, Spring 2018