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MA 3201: Problem Solving and Proofs
3.00 Credits
Polytechnic Institute of New York University
Mathematical problem-solving, proofs, and innovative reasoning. Discussion of independent challenging problems from Analysis, Complex Analysis, Probability, Combinatorics, Linear Algebra, Number Theory and Graph Theory. Prerequisites: MA2312, MA2012
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MA 3201 - Problem Solving and Proofs
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MA 3211: Linear Optimization
3.00 Credits
Polytechnic Institute of New York University
Linear optimization problems with constraints; optimality conditions and duality theory; the simplex method; complexity of the simplex method; interior point methods; selected applications; network flow problems and the network simplex method. Prerequisites: MA2312, MA2112
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MA 3211 - Linear Optimization
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MA 3914: Reading Seminar in Mathematics I
3.00 Credits
Polytechnic Institute of New York University
Reading, study, and investigation of selected topics in mathematics. Problem discussions and presentations by participating students. Prerequisite: approval of departmental adviser.
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MA 3914 - Reading Seminar in Mathematics I
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MA 4013: Introduction to Number Theory
3.00 Credits
Polytechnic Institute of New York University
Properties of integers and prime numbers. Congruences. Theorems of Fermat, Euler, and Wilson. Quadratic residues. Diophantine equations. Prerequisite: MA 1124 or equivalent.
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MA 4013 - Introduction to Number Theory
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MA 4023: Elements of Abstract Algebra
3.00 Credits
Polytechnic Institute of New York University
Basic properties of groups, rings, fields, Euclidean rings, and modules. Field extensions and Galois theory. Finite fields. Prerequisite: MA 2012.
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MA 4023 - Elements of Abstract Algebra
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MA 4113: Introduction to Mathematical Statistics
3.00 Credits
Polytechnic Institute of New York University
Standard first course in mathematical statistics, recommended for those planning to take advanced courses in statistics. Sampling distributions, tests of hypotheses, significance tests, point and interval estimation, regression and analysis of variance. Prerequisite: MA 3012.
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MA 4113 - Introduction to Mathematical Statistics
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MA 4123: Statistical Methods
3.00 Credits
Polytechnic Institute of New York University
Analysis of variance with simple experimental designs. Sampling procedures, including sequential analysis. Nonparametric statistical methods. Statistical decisions. Prerequisite: MA 4113.
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MA 4123 - Statistical Methods
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MA 4413: Partial Differential Equations
3.00 Credits
Polytechnic Institute of New York University
Modeling of physical processes. Classification of equations. Formulation and treatment of boundary- and initial-value problems. Green's functions. Maximum principle. Separation of variables. Fourier series and integrals. Quasilinear first-order equations and characteristics. D'Alembert solution of wave equation. Conservation laws and shock waves. Prerequisite: MA 2122 and MA 2132.
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MA 4413 - Partial Differential Equations
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MA 4423: Introductory Numerical Analysis
3.00 Credits
Polytechnic Institute of New York University
Polynomial interpolation and approximation of functions. Divided differences. Leastsquares data fitting, orthogonal polynomials. Numerical differentiation and integration. Solution of nonlinear equations. Gaussian elimination, pivoting, iterative refinement, conditioning of matrices. Numerical solution of ordinary differential equations. Prerequisites: MA 2132 and some experience in computer programming.
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MA 4423 - Introductory Numerical Analysis
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MA 4433: Complex Variables
3.00 Credits
Polytechnic Institute of New York University
Functions of a complex variable. Derivatives and Cauchy-Riemann equations. Integrals and Cauchy integral theory. Power and Laurent series. Residue theory. Conformal mappings. Schwarz-Christoffel transformations. Prerequisite: MA 2122 and MA 2132.
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MA 4433 - Complex Variables
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