Students admitted into the Ph.D. program with a Bachelor's degree are required to complete at least 96 credits hours. There are no required courses, but students must enroll in at least eight graduate level courses, corresponding to 32 credit hours. At least four of these courses, corresponding to 16 credit hours, must be at the advanced graduate level (700 or above). Students must also register for at least 64 thesis credits.
Students admitted into the Ph.D. program with a Master's degree are required to complete at least 64 credit hours. Students must enroll in at least four advanced graduate courses (700 or above), corresponding to 16 credit hours, and must also register for at least 48 thesis credits.
A description of some of the research areas offered by the School of Mathematics with sample study plans are give below. They are for students entering with a Bachelor's degree; students entering with a Master's degree will be placed according to their background knowledge. An individual student's course of study may vary, and will depend on the student's background and interests. A student may be required to register for more than the required minimum credit hours or for more courses than listed in the study plans, and thus may need considerably more time to complete the degree than specified in the study plans.
Preliminary Year | ||
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term 1: | 103512 | Linear Algebra |
103524 | Mathematical Analysis I | |
term 2: | 103522 | Mathematical Analysis II |
103531 | Partial Differential Equations | |
term 3: | 103521 | Advanced Calculus |
103522 | Complex Analysis or 103511 Algebra |
Core Courses | ||
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term 1: | 103621 | Real Analysis I |
103631 | Advanced Ordinary Differential Equations | |
103681 | Computer Tools for Mathematical Research | |
term 2: | 103531 | Partial Differential Equations |
103622 | Applied Functional Analysis I | |
103654 | Numerical Linear Algebra |
M.Sc. in Control Theory | ||
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term 3: | 103637 | Introduction to Optimal Control |
103729 | Topics in Applied Functional Analysis | |
103791 | Seminar | |
terms 4 - 6: | 103791 | M.Sc. Thesis |
Ph.D. in Control Theory | ||
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term 3: | 103637 | Introduction to Optimal Control |
103638 | Principles of Partial Differential Equations | |
103721 | Real Analysis II | |
term 4: | 103722 | Applied Functional Analysis II |
103734 | Topics in Control Theory | |
103790 | Seminar | |
term 5: | 103729 | Topics in Functional Analysis |
103731 | Advanced PDEs | |
term 6: | 103821 | Advanced Topics in Analysis |
103834 | Advanced Topics in Control Theory | |
terms 7 - 12: | 103891 | Ph.D. Thesis |
M.Sc. in Wavelet Analysis | ||
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term 3: | 103623 | Fourier Series and Transforms |
103721 | Real Analysis II | |
103790 | Seminar | |
term 4: | 103624 | Wavelet Theory |
103722 | Applied Functional Analysis II | |
terms 5-7: | 103791 | M.Sc. Thesis |
Ph.D. in Wavelet Analysis | ||
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term 3: | 103623 | Fourier Series and Transforms |
103721 | Real Analysis II | |
103638 | Principles of Partial Differential Equations | |
term 4: | 103624 | Wavelet Theory |
103722 | Applied Functional Analysis II | |
103790 | Seminar | |
term 5: | 103727 | Topics in Applied Analysis |
103729 | Topics in Functional Analysis | |
term 6: | 103711 | Applied Group Representation Theory |
103821 | Advanced Topics in Analysis | |
term 7: | 103822 | Advanced Topics in Functional Analysis |
terms 7-13: | 103891 | Ph.D. Thesis |
M.Sc. in Finite Element Method | ||
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term 3: | 103651 | Numerical Treatment of PDEs |
103652 | Finite Element Method | |
103790 | Seminar | |
term 4: | 103655 | Numerical Treatment of ODEs |
103751 | Computational Numerical Methods | |
term 5: | 103752 | Topics in Numerical Analysis |
terms 5-7: | 103791 | M.Sc. Thesis |
Ph.D. in Finite Element Method | ||
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term 3: | 103651 | Numerical Treatment of PDEs |
103652 | Finite Element Method | |
103638 | Principles of Partial Differential Equations | |
term 4: | 103655 | Numerical Treatment of ODEs |
103751 | Computational Numerical Methods | |
103790 | Seminar | |
term 5: | 103731 | Advanced PDEs |
103752 | Topics in Numerical Analysis | |
erm 6: | 103721 | Real Analysis II |
103831 | Advanced Topics in Applied Math | |
term 7: | 103722 | Applied Functional Analysis II |
103852 | Advanced Topics in Numerical Analysis | |
terms 8-13: | 103891 | Ph.D. Thesis |
M.Sc. in Computational Fluid Dynamics | ||
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term 3: | 103634 | Continuum Mechanics |
103651 | Numerical Treatment of PDEs | |
103790 | Seminar | |
term 4: | 103635 | Classical Models of Continuum Mechanics |
103736 | Math. Principles of Classical Fluid Mechanics | |
terms 5-7: | 103791 | M.Sc. Thesis |
Ph.D. in Computational Fluid Dynamics | ||
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term 3: | 103634 | Continuum Mechanics |
103651 | Numerical Treatment of PDEs | |
103638 | Principles of Partial Differential Equations | |
term 4: | 103635 | Classical Models of Continuum Mechanics |
103736 | Math. Principles of Classical Fluid Mechanics | |
103790 | Seminar | |
term 5: | 103738 | Topics in CFD |
103752 | Topics in Numerical Analysis | |
term 6: | 103781 | Mathematical Modelling |
103735 | Introduction to Turbulence and Flows | |
term 7: | 103838 | Advanced Topics in CFD |
103821 | Advanced Topics in Applied Mathematics | |
terms 8-13: | 103891 | Ph.D. Thesis |
M.Sc. in Computer Aided Geometric Design | ||
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term 3: | 103673 | Introduction to Computer Graphics |
103651 | Numerical Treatment of PDEs | |
103790 | Seminar | |
term 4: | 103671 | Geometric Modelling |
103655 | Computer Numerical Analysis | |
term 5: | 103672 | Mathematical Methods in CAGD |
103754 | Computational Methods of Linear Algebra | |
terms 6-8: | 103791 | M.Sc. Thesis |
Ph.D. in Computer Aided Geometric Design | ||
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term 3: | 103673 | Introduction to Computer Graphics |
103651 | Numerical Treatment of PDEs | |
103638 | Principles of Partial Differential Equations | |
term 4: | 103671 | Geometric Modelling |
103655 | Computer Numerical Analysis | |
103790 | Seminar | |
term 5: | 103672 | Mathematical Methods in CAGD |
103754 | Computational Methods of Linear Algebra | |
term 6: | 103751 | Computational Numerical Methods |
103752 | Topics in Numerical Analysis | |
103781 | Mathematical Modelling | |
term 7: | 103831 | Advanced Topics in Applied Mathematics |
103722 | Applied Functional Analysis II | |
103641 | Differential Geometry of Curves and Surfaces | |
terms 8-13: | 103891 | Ph.D. Thesis |
M.Sc. in Numerical Optimization | ||
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term 3: | 103661 | Linear Programming and Applications |
one course from the following two courses: | ||
103651 | Numerical Treatment of PDEs | |
103652 | Finite Element method | |
103790 | Seminar | |
term 4: | 103662 | Nonlinear Programming |
103751 | Computational Numerical Methods | |
term 5-7: | 103791 | M.Sc. Thesis |
Ph.D. in Numerical Optimization | ||
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term 3: | 103661 | Linear Programming and Applications |
103721 | Real Analysis II | |
103638 | Principles of Partial Differential Equations | |
term 4: | 103662 | Nonlinear Programming |
103722 | Applied Functional Analysis II | |
103751 | Computational Numerical Methods | |
term 5: | 103752 | Topics in Numerical Analysis |
one course from the following two courses: | ||
103831 | Advanced Topics in Applied Mathematics | |
103861 | Advanced Topics in Optimization | |
103790 | Seminar | |
terms 6-12: | 103891 | Ph.D. Thesis |
M.Sc. in Group Analysis | ||
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term 3: | 103634 | Continuum Mechanics |
103638 | Principles of Partial Differential Equations | |
103790 | Seminar | |
term 4: | 103732 | Group Analysis of Differential Equations |
103736 | Math. Principles of Classical Fluid Dynamics | |
term 5: | 103731 | Advanced PDEs |
103651 | Numerical Treatment of PDEs | |
terms 6-7 | 103791 | M.Sc. Thesis |
Ph.D. in Group Analysis | ||
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term 3: | 103634 | Continuum Mechanics |
103638 | Principles of Partial Differential Equations | |
103651 | Numerical Treatment of PDEs | |
term 4: | 103732 | Group Analysis of Differential Equations |
103736 | Math. Principles of Classical Fluid Dynamics | |
103790 | Seminar | |
term 5: | 103731 | Advanced PDEs |
103733 | Topics in the Theory of PDEs | |
term 6: | 103821 | Advanced Topics in Applied Mathematics |
103833 | Advanced Topics in the Theory of PDEs | |
103781 | Mathematical Modelling | |
term 7: | 103635 | Classical Models of Continuum Mechanics |
terms 7-13: | 103891 | Ph.D. Thesis |