CBE20258 - Numerical & Statistical Analysis

Schedule

Class
TR 9:30-10:45AM. Room 141DBTL
Tutorials
Five sections, B019 Fitzpatrick

Instructor

D. T. Leighton
Office hours are by appointment.
Room 240E McCourtney Hall
A. Dowling
Office hours are by appointment.
Room 123A Cushing Hall

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

Introduction to numerical computation.
Representing numbers.
Linear equations.
Statistics and data analysis.
Nonlinear equations.
Optimization
Quadrature.
First-order ordinary differential equations.
Higher-order ordinary differential equations.
Eigenvalue problems.

Grading

The course consists of five components: Weekly algorithm assignments and projects (cumulative), a concluding final project, weekly on-line quizzes, a mid-term exam and a final.

The weekly tutorial consists of two parts: a brief on-line tutorial lecture on Sakai demonstrating how you can use concepts developed in class to solve engineering problems and an associated quiz based on the tutorial video and that week's lectures. These are to be completed by midnight on the Sunday prior to the week's tutorials. The tutorials themselves are essentially lab sessions. The semester long tutorial attendance rate can be used to replace the lowest of the weekly quiz grades.

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 grade will count 25%, the final project 15%, the weekly quizzes 15%, the mid-term 20%, and the final exam 25% 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.