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MTH 2700: Introduction to Mathematical Thinking
3.00 Credits
St. John's University-New York
Prerequisite: MTH 1740. An introduction to the tools of mathematics. How to read and write mathematics; construct examples and counterexamples; elementary mathematical logic; methods of proof. Students will be required to give presentations. Credit: 3 semester hours.
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MTH 2700 - Introduction to Mathematical Thinking
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MTH 2750: University Calculus III
3.00 Credits
St. John's University-New York
Prerequisite: MTH 1740. Matrices and vectors; vector functions and their derivatives; partial differentiation; multiple integrals. Credit: 4 semester hours.
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MTH 2750 - University Calculus III
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MTH 2760: University Calculus IV
3.00 Credits
St. John's University-New York
Prerequisite: MTH 2750. Multiple integrals and their applications: Green's Theorem, Stokes'Theorem, sequences and series. Credit: 4 semester hours.
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MTH 2760 - University Calculus IV
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MTH 2790: Introduction to Linear Algebra
3.00 Credits
St. John's University-New York
Prerequisite: MTH 1740. Vectors and vector spaces; linear transformations and matrices; characteristic values and characteristics vectors of linear transformations; similarity of matrices. Credit: 3 semester hours.
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MTH 2790 - Introduction to Linear Algebra
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MTH 2800: Introduction to Modern Algebra
3.00 Credits
St. John's University-New York
Prerequisite: MTH 2750. Elementary theory of groups, rings, integral domains and fields. Credit: 3 semester hours.
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MTH 2800 - Introduction to Modern Algebra
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MTH 3380: Discrete Mathematics
3.00 Credits
St. John's University-New York
The application of mathematics to discrete rather than continuous models. Credit: 3 semester hours.
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MTH 3380 - Discrete Mathematics
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MTH 3770;3780: Advanced Calculus I;II
3.00 Credits
St. John's University-New York
Prerequisite: MTH 2760. MTH 3770 is a prerequisite for MTH 3780. Topology of the real line, limits, differentiation and integration theory; vectors, linear and nonlinear functions of several variables, series, implicit function theorems; selected topics. Credit: 3 semester hours.
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MTH 3770;3780 - Advanced Calculus I;II
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MTH 3810;3820: Mathematical Theory of Probability and Statistics I;II
3.00 Credits
St. John's University-New York
Prerequisite: MTH 2760. MTH 3810 is a prerequisite for MTH 3820. Introduction to probability; sample spaces, random variables and distributions; sampling distributions; parametric estimation and hypothesis testing; correlation and regression; special topics. Credit: 3 semester hours.
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MTH 3810;3820 - Mathematical Theory of Probability and Statistics I;II
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MTH 3840: Ordinary Differential Equations
3.00 Credits
St. John's University-New York
Prerequisite: MTH 2760. First order equations, existence and uniqueness, Picard iteration, numerical methods. Linear algebra of linear systems and their solutions. Models, phase plane, nonlinear systems, stability. Credit: 3 semester hours.
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MTH 3840 - Ordinary Differential Equations
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MTH 3850: Partial Differential Equations
3.00 Credits
St. John's University-New York
Prerequisite: MTH 3840. Discussion of first order equations; derivation and classification of second order equations; solution techniques of boundary value and initial value problems; applications. Credit: 3 semester hours.
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MTH 3850 - Partial Differential Equations
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