RESOURCES FOR STUDENTS

The research activities at CAML involve a wide range of topics, with a special emphasis on mechanics, numerical methods, and applied mathematics. The University of Houston offers many intermediate and advanced graduate courses in these areas. Below is an incomplete list of courses/resources that may be useful to current students at the University of Houston. Also, a short write-up by Prof. Keith Hjelmstad on how to do research is worth a read. An attachment to the document can be found below.

Technical / Scientific Writing

Technical writing will be an essential part of graduate studies. There will be several occasions in which a student has to communicate his/her ideas effectively and precisely. These include course reports, project reports, theses, dissertations, conference papers, and journal papers. If a student wants to improve their writing skills, he/she can start by visiting the Writing Center at the University of Houston. In addition, the following references may come in handy:

• • W. Strunk, and E. B. White; The Elements of Style, Fourth Edition, Longman, 1999.

  • J. M. Williams; Style: The Basics of Clarity and Grace, Longman, New York, 2010.

  • N. J. Hingham; Handbook of Writing for the Mathematical Sciences, Second Edition, SIAM, 1998.

Civil Engineering Courses

• • CIVE 6337: Matrix Analysis of Structures

  • CIVE 6350: Advanced Mechanics of Materials

  • CIVE 6355: Dynamics of Structures

  • CIVE 7336: Finite Element Methods

  • CIVE 7397: Computational Mechanics

  • CIVE 7397: Mechanics of Porous Media 

Mechanical Engineering Courses

• • MECE 6353: Introduction to Computational Fluid Dynamics

  • MECE 6377: Continuum Mechanics I & II

  • MECE 6382: Theory of Elasticity

  • MECE 6384: Methods of Applied Mathematics

Computational and Numerical Courses

• • MATH 4364: Numerical Analysis I 

  • MATH 4365: Numerical Analysis II 

  • MATH 6372: Numerical Ordinary Differential Equations

  • MATH 6374: Numerical Partial Differential Equations

  • MATH 6378: Basic Scientific Computing

Mathematics Courses 

Partial Differential Equations Courses

• • MATH 4335: Partial Differential Equations (Fall)

  • MATH 4336: Partial Differential Equations II (Spring)

Linear Algebra Courses

• • MATH 4377: Advanced Linear Algebra I 

  • MATH 4378: Advanced Linear Algebra II 

Advanced MATH Courses

• • MATH 6312: Introduction to Real Analysis

  • MATH 6320: Theory of Functions of a Real Variable

  • MATH 6324: Differential Equations 

  • MATH 6326: Partial Differential Equations

  • MATH 6360: Applicable Analysis

  • MATH 6366: Optimization and Variational Methods

Physics Courses

• • PHYS 3309: Intermediate Mechanics 

  • PHYS 3327: Thermal Physics 

  • PHYS 6303: Methods of Mathematical Physics I

  • PHYS 6304: Methods of Mathematical Physics II

  • PHYS 6309: Advanced Mechanics