You will find below a schedule of the different lectures of the session. This schedule will be updated as the session goes. Important documents or files will also be posted here.






Lecture 1:           (Lecture slides) (Complement and exercises on linear algebra -- Solutions)
Introduction to the class
Introduction to scientific computing (Part I)
Linear Algebra review
Fundamentals of MATLAB



Lecture 2:         (M-files)  (Commands executed on the screen during lecture) (Matlab exercises -- Solutions)
                               (Brief review of Taylor Series)
Introduction to scientific computing (Part II)
Taylor series
Programming with MATLAB




Lecture 3:         (M-files) (Lecture slides)
Systems of linear equations - direct solution

Lecture 4:         (M-files)
Matrix inversion
Systems of linear equations - iterative solution

Lecture 5:         (M-files)
Root finding and numerical solution of non-linear equations

Lecture 6:
Midterm
Interpolation

Lecture 7:     (M-files)
Integration / Integration

Lecture 8:    (M-files)  (a note on obtaining finite differences approximation)
Integration / Differentiation
Ordinary Differential Equations (Part I)

Lecture 9:    (Note on RK schemes)
Ordinary Differential Equations (Part II)

Lecture 10:   (Exercise on least-square regression)
Regression

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