Evan Dummit's Course Notes Page

Main. Current Teaching. Course Notes. Lectures.

This page contains notes (lying somewhere between lecture notes and a draft of a book) for courses I have taught. If you have encountered copies of my notes elsewhere, please be aware that they may be old versions with uncorrected errors: the newest versions will always appear on my personal webpage. The headers indicate the most recent time I taught a course that used the associated notes (and thus, tends to be the last time the notes were updated).

Obligatory copyright notice:

All material is copyright me, Evan Dummit.

No individual or group has permission to repost, modify, or distribute these files without my express consent. (I am happy to allow non-profit or educational uses, but please ask.)

- Calculus part 0, 18pp: Review of Basic Concepts.
- Calculus part 1, 12pp: Limits and Continuity (7pp, supplement on Formal Epsilon-Delta Limits).
- Calculus part 2, 23pp: Introduction to Differentiation. (2pp, supplement on Trigonometric Limits).
- Calculus part 3, 26pp: Applications of Differentiation.
- Calculus part 4, 13pp: Introduction to Integration.
- Calculus part 5, 9pp: Techniques of Integration.
- Calculus part 6, 16pp: Parametric Curves, Polar Coordinates, and Complex Numbers.
- Calculus part 7, 20pp: Sequences and Series.
- Calculus part 8, 22pp: Power Series and Taylor Series.
- Appendix, 10pp: Introduction to Differential Equations (9pp, supplement on Second-Order Differential Equations).

- Multivariable Calculus part 1, 18pp: Vectors and 3-Dimensional Geometry.
- Multivariable Calculus part 2, 24pp: Partial Derivatives.
- Multivariable Calculus part 3, 24pp: Multiple Integration.
- Multivariable Calculus part 4, 24pp: Vector Calculus.

- Differential Equations and Linear Algebra part 1, 12pp: First-Order Differential Equations. (10pp, supplement on Additional First-Order Topics)
- Differential Equations and Linear Algebra part 2, 18pp: Matrices and Systems of Linear Equations.
- Differential Equations and Linear Algebra part 3, 29pp: Vector Spaces and Linear Transformations.
- Differential Equations and Linear Algebra part 4, 9pp: Eigenvalues and Eigenvectors.
- Differential Equations and Linear Algebra part 5, 15pp: Linear Differential Equations.
- Differential Equations and Linear Algebra part 6, 7pp: Systems of Linear Differential Equations.
- Complex Numbers (appendix), 6pp: Complex Numbers.

- Linear Algebra part 1, 20pp: Matrices and Systems of Linear Equations.
- Linear Algebra part 2, 26pp: Vector Spaces.
- Linear Algebra part 3, 16pp: Inner Products.
- Linear Algebra part 4, 17pp: Linear Transformations.
- Linear Algebra part 5, 22pp: Eigenvalues and Diagonalization.

- Linear Algebra part 0, 15pp: Preliminaries.
- Linear Algebra part 1, 26pp: Vector Spaces.
- Linear Algebra part 2, 24pp: Linear Transformations.
- Linear Algebra part 3, 22pp: Linear Systems, Inverses, and Determinants.
- Linear Algebra part 4, 25pp: Eigenvalues, Diagonalization, and the Jordan Canonical Form.

- Ring Theory part 1, 15pp: The Integers.
- Ring Theory part 2, 24pp: Rings.
- Ring Theory part 3, 23pp: Homomorphisms, Ideals, and Quotients.
- Ring Theory part 4, 26pp: Arithmetic and Factorization in Integral Domains.

- Cryptography part 1, 25pp: Classical Cryptosystems.
- Cryptography part 2, 29pp: Public-Key Cryptography.
- Cryptography part 3, 13pp: Discrete Logarithms in Cryptography.
- Cryptography part 4, 29pp: Digital Secrecy and Security.
- Cryptography part 5, 21pp: Elliptic Curves in Cryptography.
- Cryptography part 6, 8pp: Modern Topics in Cryptography.

- Chaos, Dynamics, and Fractals part 1, 26pp: Introduction to Dynamics.
- Chaos, Dynamics, and Fractals part 2, 20pp: Dynamics of One-Parameter Families.
- Chaos, Dynamics, and Fractals part 3, 26pp: Chaotic Dynamics.
- Chaos, Dynamics, and Fractals part 4, 21pp: Fractals.
- Chaos, Dynamics, and Fractals part 5, 25pp: Introduction to Complex Dynamics.

- Number Theory part 1, 9pp: The Integers.
- Number Theory part 2, 18pp: Modular Arithmetic.
- Number Theory part 3, 17pp: Cryptography and Related Topics.
- Number Theory part 4, 29pp: Unique Factorization and Applications.
- Number Theory part 5, 20pp: Squares and Quadratic Reciprocity.
- Number Theory part 6, 21pp: Continued Fractions and Diophantine Equations.
- Number Theory part 7, 3pp: The Geometry of Numbers and Minkowski's Theorem.