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The department publishes an official textbook list

Freshman level

Modeling w/ Calculus for the Life Sciences MATH 1106

  • Modeling Life: The Mathematics of Biological Systems by Garfinkel et al.

Calculus I MATH 1110 / II MATH 1120

Calculus for Engineers MATH 1910 / Multivariable Calculus for Engineers MATH 1920

  • Calculus by Rogawski et al.

Sophomore level

Linear Algebra MATH 2210

Multivariable Calculus MATH 2220

Theoretical Linear Algebra & Vector Calculus I MATH 2230

  • Vector Calculus, Linear Algebra & Differential Forms: A Unified Approach by Hubbard & Hubbard

Differential Equations for Engineers MATH 2930

  • Elementary Differential Equations & Boundary Value Problems by Boyce et al.

Linear Algebra for Engineers MATH 2940

  • Linear Algebra & Its Applications by Lay et al.

Junior level

Introduction to Analysis MATH 3110

  • Understanding Analysis by Stephen Abbott

Manifolds & Differential Forms MATH 3210

Intro. to Ordinary Differential Equations MATH 3270

  • A Textbook on Ordinary Differential Equations by Ahmad & Ambrosetti

Senior level

Patterns, Proofs & Problems MATH 4040

  • The Art & Craft of Problem Solving by Paul Zeitz

Honors Intro. to Analysis I MATH 4130

  • The Way of Analysis by Robert S. Strichartz

Nonlinear Dynamics & Chaos MATH 4210

  • Differential Equations, Dynamical Systems & an Intro. to Chaos by Hirsch et al.
  • Nonlinear Dynamics & Chaos: W/ Applications to Physics, Biology, Chemistry & Engineering by Steven H. Strogatz

Applied Complex Analysis MATH 4220/5220

  • Complex Analysis w/ Applications by Asmar & Grafakos

Numerical Analysis & Differential Equations MATH 4250/5250

  • Numerical Analysis: Mathematics of Scientific Computing by Kincaid & Cheney
  • Numerical Computing with MATLAB by Cleve B. Moler

Linear Algebra MATH 4310

  • Linear Algebra by Friedberg et al.
  • Adv. Linear Algebra by Bruce Cooperstein

Honors Linear Algebra MATH 4330

  • Adv. Linear Algebra by Steven Roman

Computational Algebra MATH 4370

  • Ideals, Varieties & Algorithms: An Intro. to Computational Algebraic Geometry & Commutative Algebra by Cox et al.
  • Concrete Abstract Algebra: From Numbers to Gröbner Bases by Niels Lauritzen

Intro. to Combinatorics I MATH 4410/5410

  • Basic Graph Theory by Bollobás & Morris

Intro. to Topology MATH 4530

  • Basic Topology by M.A. Armstrong
  • Counterexamples in Topology by Steen & Seebach

Basic Probability MATH 4710

  • Intro. to Probability by Anderson et al.

Theory of Statistics MATH 4720

  • Probability & Statistics by DeGroot & Schervish

Mathematical Logic MATH 4810

  • Mathematical Logic by Ebbinghaus et al.

Doctoral level

Real Analysis MATH 6110

  • Real Analysis: Measure Theory, Integration & Hilbert Spaces by Stein & Shakarchi

Measure Theory & Lebesgue Integration MATH 6210

  • Measure, Integration & Real Analysis by Sheldon Axler
  • An Introduction to Measure Theory by Terence Tao

Algebra MATH 6310

  • Algebra by Serge Lang
  • Algebra: Chapter 0 by Paolo Aluffi

Noncommutative Algebra MATH 6330

  • Associative Algebras by Richard S. Pierce
  • Noncommutative Algebra by Farb & Dennis
  • Graduate Algebra: Noncommutative View by Louis Halle Rowen
  • A 1st Course in Noncommutative Rings by T.Y. Lam

Lie Groups & Lie Algebras MATH 6390

  • An Intro. to Lie Groups & Lie Algebras by Alexander Kirillov, Jr.
  • Differential Geometry & Symmetric Spaces by Sigurdur Helgason
  • Foundations of Differentiable Manifolds & Lie Groups by Frank W. Warner
  • Introduction to Lie Algebras & Representation Theory by James E. Humphreys
  • Linear Algebraic Groups by T.A. Springer

Enumerative Combinatorics MATH 6410

  • A Course in Enumeration by Martin Aigner
  • A Course in Combinatorics by van Lint & Wilson

Probability Theory I MATH 6710

  • Probability: Theory & Examples by Rick Durrett

Set Theory MATH 6870

  • The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings by Akihiro Kanamori

Topics in Dynamical Systems MATH 7280

  • Advanced Mathematical Methods for Scientists & Engineers: Asymptotic Methods & Perturbation Theory by Bender & Orszag

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