They cover the real numbers and one-variable calculus. Garfinkel, Shevtsov, and Guo, Modeling Life: The Mathematics of Biological Systems, W. Keith Nicholson, Linear Algebra with Applications, Beck and Geoghegan,The Art of Proof: Basic Training for Deeper Mathematics, Abbott, Stephen, Understanding Analysis, 2nd edition, do Carmo, Manfredo, Differential Forms and Applications, Olver, Peter, Introduction to Partial Differential Equations, Jones and Jones, Elementary Number Theory, Lang, Serge, Undergraduate Analysis, 2nd edition, Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol I: Ordinary Differential Equations, Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol II: Higher-Dimensional Systems, Moler, Cleve, Numerical Computing with MATLAB, Salsa, Sandro, Partial Differential Equations in Action: From Modelling to Theory, 3rd edition, Axler, Sheldon, Linear Algebra Done Right, 3rd edition, Roman, Steven, Advanced Linear Algebra, 3rd edition, Tapp, Kristopher, Matrix Groups for Undergraduates, 2nd edition, Pressley, Andrew, Elementary Differential Geometry, 2nd edition, Connelly and Guest, Frameworks, Tensegrities, and Symmetry, Clay and Margalit, Office Hours with a Geometric Group Theorist, Durrett, Richard, Essentials of Stochastic Processes, 3rd edition, Ebbinghaus, Flum, and Thomas, Mathematical Logic, 3rd edition, Bartle, Robert,The Elements of Integration and Lebesgue Measure, Katok and Hasselblat, Introduction to the Modern Theory of Dynamical Systems, Guckenheimer and Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Isaacs, I. Martin, Algebra: a graduate course, Eisenbud, David, Commutative Algebra with a View Toward Algebraic Geometry, Matsumura, Hideyuki, Commutative Ring Theory, Lee, John M., Introduction to Riemannian Manifolds, 2nd edition, Durrett, Rick, Probability: Theory and Examples, 5th edition, Durrett, Rick,Probability: Theory and Examples, 5th edition, Korostelev and Korosteleva, Mathematical Statistics: Asymptotic Minimax Theory, Kunen, Kenneth, Set Theory: An Introduction to Independence Proofs, Voisin, Claire, Hodge Theory and Complex Algebraic Geometry I, Voisin, Claire, Hodge Theory and Complex Algebraic Geometry II, Yadin, Ariel, Harmonic Functions and Random Walks on Groups, Transferring Credit from Another Institution, Linear Algebra and Multivariable Calculus, Mathematics for the Arts & Sciences Student, Mathematics for the Biological Sciences or Pre-Med Student, Applying to the Math Major as a Transfer Student, Career and Internship Opportunities for Undergraduates, Milestones for the Ph.D. degree in Mathematics, Non-degree and Visiting Graduate Students, History of REU and SPUR (Summer Program for Undergraduate Research) Programs, Family Mathematics Program for Grades 710, Math Explorers' Club (grades 8-12): Recent Offerings, History of the Cornell Mathematics Department.
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