Math 4389 Survey of Undergraduate Math Instructor: Dr. David Blecher REQUIRED READING:
As part of the course requirements, students are responsible for reading the chapters below, and in addition reviewing Calculus I, II, III material from e.g. here or here (see also e.g. these videos, or Paul's Notes videos, as you see fit). A good `typical' Calculus 1 cheat sheet may be found here. A Calculus (mainly III) formula sheet may be found here. Some facts on power series may be found here. This should be done before or on the weeks the corresponding modules are covered in class.
Linear Algebra LA-Chapter 1 LA-Chapter 2 LA-Chapter 3 LA-Chapter 4 LA-Chapter 5 Linear algebra `important facts' list (partial) Version of the last pdf presented in class Linear algebra 4 page cheatsheet	Differential Equations DE-Chapter 1 DE-Chapter 2 DE-Chapter 3 DE-Chapter 4 The basic DE facts/Cheatsheet Another DE `cheatsheet' (containing much we will not need) Page of Laplace transform formulae	Analysis The Real Numbers Sequences Functions Multivariable - Part 1 Multivariable - Part 2 Notations in topology and metric spaces	Algebra Abstract Algebra Algebra `cheatsheet' Basics of complex numbers	Probability Counting Principles Rules of Probability Random Variables and Distributions Quick survey for FieldTest prep