## Math 306 - Matrix and Power Series Methods - Winter 2019

### Class Information

Instructor: Tuan Pham
TA: Charles Camacho
Section 20
Class meetings: Kidder Hall 364, MWF 12:00 - 12:50 PM
[Syllabus]   [Tentative calendar]   [Canvas site]

### Office Hours

MWF 1:00 - 3:30 PM at Kidder Hall 268

### Assignments

 Homework Solution to some HW problems Group projects Homework 1 Solution Project A Homework 2 Solution Project B Homework 3 Solution Homework 4 Solution Midterm review Solution to midterm Homework 5 Solution Homework 6 Solution Homework 7 Solution Homework 8 Solution Homework 9 Solution

### Lecture notes

• Lecture 26 (Mar. 15): some applications of Taylor series
• Lecture 25 (Mar. 13): differentiation of power series; algebraic method to find Taylor series
• Lecture 24 (Mar. 11): more examples on power series; Taylor series
• Lecture 23 (Mar. 8): more examples on Alternating series test; power series
• Lecture 22 (Mar. 6): more examples on Ratio test; Root test, Alternating series test, absolute/conditional convergence
• Lecture 21 (Mar. 4): more examples on Integral test; Ratio test
• Lecture 20 (Mar. 1): more examples on Comparison test; Integral test
• Lecture 19 (Feb. 27): Comparison test.
• Lecture 18 (Feb. 25): algebraic properties of series.
• Lecture 17 (Feb. 18): error estimates (cont.), infinite sum/series.
• Lecture 16 (Feb. 15): error estimates of approximation by Taylor polynomials.
• Lecture 15 (Feb. 13): Taylor polynomials and applications.
• Lecture 14 (Feb. 11): complex eigenvectors and eigenvalues, nonlinear maps.
• Lecture 13 (Feb. 6): eigenvectors and eigenvalues of special linear maps, algorithm to find them.
• Lecture 12 (Feb. 4): applications of LI and LD, eigenvectors and eigenvalues.
• Lecture 11 (Feb. 1): linear dependence (LI) and linear independence (LD).
• Lecture 10 (Jan. 30): applications of determinant, linear combinations.
• Lecture 9 (Jan. 28): applications of matrix inverse, determinant of 2x2 and 3x3 matrices.
• Lecture 8 (Jan. 25): matrix inverse.
• Lecture 7 (Jan. 23): system of linear equations, reduced row echelon form.
• Lecture 6 (Jan. 18): system of linear equations, row echelon form.
• Lecture 5 (Jan. 16): composite maps, system of linear equations.
• Lecture 4 (Jan. 14): matrix associated with a linear map.
• Lecture 3 (Jan. 11): matrix and algebra of matrices.
• Lecture 2 (Jan. 9): linear maps.
• Lecture 1 (Jan. 7): introduction, methods to compute values of a function.
• ### Remarks before / after class

• 2/18/2019: No class on Wednesday (2/20) and Friday (2/22)
• 1/23/2019: Reduced row echelon form
• 1/18/2019: Row echelon form