Home Material Group Activities Events Homework Archive

Harvard Applied Math 205

Advanced Scientific Computing: Numerical Methods

Introduction

Scientific computing has become an indispensable tool in many branches of research, and is vitally important for studying a wide range of physical and social phenomena. In this course we will examine the mathematical foundations of well-established numerical algorithms and explore their use through practical examples drawn from a range of scientific and engineering disciplines.

Quick links

Teaching team

Chris
Chris Rycroft

Lead instructor

Zhiming
Zhiming Kuang

Co-instructor

Jovana
Jovana Andrejevic

Teaching Fellow

Nick
Nick Derr

Teaching Fellow

Danyun
Danyun He

Teaching Fellow

Baptiste
Baptiste Lemaire

Teaching Fellow

Luna
Luna Lin

Teaching Fellow

Jiayin
Jiayin Lu

Teaching Fellow

Zhao
Zhao Lyu

Teaching Fellow

Matthieu
Matthieu Meeus

Teaching Fellow

Course information

A more detailed description of this information can be found in the course syllabus.

Lectures
Tuesday & Thursday 10:30am ET via Zoom (see Canvas page for links)
Textbook
Scientific Computing: An Introductory Survey, by Michael T. Heath.
Homework
There will be five homework assignments. The first is due on Friday September 18th, and the remainder are due at roughly two week intervals. Homework assignments will be due at 5pm ET in the dropbox on the course Canvas page. In addition, an introductory homework assignment 0 is provided, which is ungraded but designed for you to refresh your familiarity with programming.
Academic integrity policy
Discussion and the exchange of ideas are essential to doing academic work. For assignments in this course, you are encouraged to consult with your classmates as you work on problem sets. However, after discussions with peers, make sure that you can work through the problem yourself and ensure that any answers you submit for evaluation are the result of your own efforts. In addition, you must cite any books, articles, websites, lectures, etc. that have helped you with your work using appropriate citation practices. Similarly, you must list the names of students with whom you have collaborated on problem sets. Using homework solutions from previous years is forbidden.
Grades
The final grade will be based on homework assignments (62%), group activities (6%), and the final project (32%).
Final project
This document contains details about the final project organization. In general, the final project will be completed in groups of two or three students. Single person or multi-person projects are also allowed with instructor permission. Each group will propose a project topic drawn from an application area of interest. The project should make use of concepts covered in the course. The project should be roughly equivalent in scope to a section of a published research article. You will be required to write software to solve your problem, and to submit a report that includes a mathematical discussion of your methodology in relation to the theory covered in the course. Projects will be assessed based on a written report, and the quality and correctness of software. Code should be well-documented and should be organized so that figures submitted in the report can be easily reproduced by the graders.