Contents

• Contents
• Polynomial systems and the related problems
• Nonlinear Systems
• Nonlinear Systems (continued)
• Euclidean algorithm and its applications
• Euclidean Algorithm and its applications (continued)
• Gröbner Bases
• Gröbner Bases (continued)
• Gröbner Bases (continued)
• Gröbner Bases (continued)
• Gröbner Bases (continued)
• Computation in ${\mathbb F}[x_1, \dots, x_n]/{\mathbf I}$
• Computation in ${\mathbb F}[x_1, \dots, x_n]/{\mathbf I}$ (continued)
• Computation in ${\mathbb F}[x_1, \dots, x_n]/{\mathbf I}$ (continued)
• Eigenvalues and Fourier Transform
• Topics for Course Projects
• Multidimensional Recurrence Relation
• Affine Variety Codes
• Decoding Reed-Solomon Codes
• Decoding Reed-Solomon Codes (continued)
• Hermitian Codes
• Decoding Hermitian Codes
• Decoding Hermitian Codes