Linear algebra is one of the most useful mathematical courses a student of science or engineering may ever take. It might be a first course where concepts are at least as important as calculations, and applications are motivating and mind opening.
Types of applications of linear algebra to science and real life cannot be counted. The solutions to numerous problems in physics, engineering, biology, chemistry, medicine, computer graphics, image processing, economics, sociology, etc. require tools from linear algebra.
The Mini Projects section of the course is crucial. Each of these small assignments addresses a particular important application. In fact, for Projects 1 to 4, just initial basics of the course (matrices, their properties, matrix operations, linear system of equations, etc.) are required, whereas for the last project knowledge of principal concepts of eigenvalues and eigenvectors (last topic of the course) is needed.
Reminder: The
project reports are usually handed in in Mondays classes;
for details, see
Schedule of Events on the
Information Page.
Project No. 1: Graph Theory |
Project No. 2: Electrical Circuits |
Project No. 3: Linear Economic Models |
Project No. 4: Least Squares |
Project No. 5: Systems of Linear Differential Equations |
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