CBE20258 - Numerical & Statistical Analysis


Schedule


Instructor


Textbooks

In addition to the extensive online course notes, and on-line help, the required text for the course is King and Mody, Numerical and Statistical Methods for Bioengineering (2011).

Course Outline

  1. Introduction to numerical computation.
  2. Representing numbers.
  3. Linear equations.
  4. Statistics and data analysis.
  5. Nonlinear equations.
  6. Optimization
  7. Quadrature.
  8. First-order ordinary differential equations.
  9. Higher-order ordinary differential equations.
  10. Eigenvalue problems.

Grading

The course consists of four components: Weekly algorithm assignments and projects (cumulative), a concluding final project, a mid-term exam and a final. Attendance at the weekly tutorial (essentially a lab session) is mandatory without a written excuse. Students are expected to have completed the weekly assigned reading and to have outlined their approach to the weekly assignment -prior- to the tutorial. The tutorial may be used to work on the assignment, although getting started early is fine too! The exams will be closed book, in class exams based primarily on the algorithms discussed in the lectures, and will focus on error analysis and statistics. The final project will be substantial in nature, and will synthesize several of the numerical solution techniques developed in class. The cumulative homework and mid-term will count 25% each, the final project 20%, and the final exam 30% of the final grade.

Honor Code

Students are permitted (and encouraged) to discuss solution approaches to the weekly projects and algorithm assignments with classmates, however there is to be no wholesale copying of code or solutions. For the final project, you may discuss your solution approach with your classmates and others, but you MAY NOT look at each others code. We want to see your individual efforts. Students MAY NOT use old HW files and solutions for the algorithm assignments: If you can't do the problems for homework, you won't be able to do them on the exams either... In class exams are closed books (and internet), however students are permitted to have one hand written (not typed - the physical act of writing has been shown to help recall) 8.5x11 inch sheet of notes.