MS512 – Numerical Analysis I

Course Information - Class A

• Course: MS512 – Numerical Analysis I
• Role: Class Monitor (PAD)
• Professor: Petronio Pulino
• Course Website: ime.unicamp.br/~pulino/MS512/

Role

I served as a Class Monitor (PAD) for this course. My work focused on supporting students outside regular class hours, preparing solution keys for assessments, and helping evaluate computational projects.

At Unicamp, PAD (Programa de Apoio Didático) is an undergraduate teaching support program in which students assist course activities under the supervision of the course professor.

Course Overview

This course presents theoretical and computational aspects of numerical methods for linear and nonlinear systems, least-squares problems, and eigenvalue computation. It combines matrix analysis, numerical algorithms, and practical computational work.

Syllabus

Cholesky factorization. Orthogonal factorizations. Linear least squares. Singular value decomposition. Iterative methods for linear systems. Introduction to nonlinear systems. Computation of eigenvalues and eigenvectors.

References

• Watkins, D. S. Fundamentals of Matrix Computation. 3rd ed. John Wiley, 2010.
• Noble, B.; Daniel, J. W. Applied Linear Algebra. 3rd ed. Prentice-Hall, 1988.
• Strang, G. Linear Algebra and Its Applications. 4th ed. Cengage Learning, 2006.
• Golub, G. H.; Van Loan, C. F. Matrix Computations. Johns Hopkins University Press, 2013.
• Higham, N. J. Accuracy and Stability of Numerical Algorithms. 2nd ed. SIAM, 2002.

My Contributions

My main contributions to the course included:

• holding two weekly two-hour academic support sessions outside regular class time;
• preparing solution keys for graded tests;
• helping evaluate the computational projects assigned in the course.

Materials

The following material was prepared as part of my work for the course:

• Solution Key for Test 1