Schedule

Notes

• The schedule is tentative and may change as the course progresses.

• For information about add/drop dates and other matters related to course registration, please consult the Registrar's Website.

• All dates and times are in ET (Eastern Time).

• Section numbers are as in Linear Algebra and Its Applications (6th Edition) by David C. Lay, Steven R. Lay and Judi J. McDonald.

• There will usually be one online homework assignment and one written homework assignment due the day after class. Below, O\(N\) refers to the \(N\)th online assignment and H\(N\) refers to the \(N\)th written assignment. Note that there is no O26.

Week of August 21st (Week 1)

• Classes begin on Monday, August 21st.

• O1-6 and H1-6 are all due on Sunday, September 3rd at 11:00 PM.

Monday, August 21st

• Topics: §1.1 Systems of Linear Equations.

Wednesday, August 23rd

• Topics: §1.1 Systems of Linear Equations (contd); §1.2 Row Reduction and Echelon Forms.

Friday, August 25th

• Topics: §1.2 Row Reduction and Echelon Forms (contd).

Week of August 28th (Week 2)

• O1-6 and H1-6 are all due on Sunday, September 3rd at 11:00 PM.

Monday, August 28th

• Topics: §1.3 Vector Equations.

Wednesday, August 30th

• Topics: §1.4 The Matrix Equation \(A\mathbf{x} = \mathbf{b}\).

Friday, September 1st

• Topics: §1.5 Solution Sets of Linear Systems; §1.7 Linear Independence.

Week of September 4th (Week 3)

• O7 and H7 are due on Thursday, September 7th at 11:00 PM.

• O8 and H8 are due on Saturday, September 9th at 11:00 PM.

• Office Hours will be on WF, 9:30 AM to 11:00 AM this week.

Monday, September 4th

• No Class (Labor Day).

Wednesday, September 6th

• Topics: §1.7 Linear Independence (contd); §1.8 Introduction to Linear Transformations.

Friday, September 8th

• Topics: §1.8 Introduction to Linear Transformations (contd); §1.9 The Matrix of a Linear Transformation.

Week of September 11th (Week 4)

• O9 and H9 are due on Tuesday, September 12th at 11:00 PM.

• O10 and H10 are now due on Saturday, September 16th at 11:00 PM (earlier due Thursday, September 14th).

• O11 and H11 are now due on Tuesday, September 19th at 11:00 PM (earlier due on Saturday, September 16th).

Monday, September 11th

• Topics: §1.9 The Matrix of a Linear Transformation (contd).

Wednesday, September 13th

• Topics: §2.1 Matrix Operations.

Friday, September 15th

• Topics: §2.1 Matrix Operations (contd); §2.2 The Inverse of a Matrix.

Week of September 18th (Week 5)

• H12 is due on Tuesday, September 19th at 11:00 PM.

• O12 is now due on Thursday, September 21st at 11:00 PM. (earlier due on Tuesday, September 19th).

• O13 and H13 are now due on Saturday, September 23rd at 11:00 PM (earlier due Thursday, September 21st).

• H14 is due on Saturday, September 23rd at 11:00 PM.

• O14 is now due on Tuesday, September 26th at 11:00 PM. (earlier due on Saturday, September 23rd).

Monday, September 18th

• Topics: §2.2 The Inverse of a Matrix (contd); 2.3 Characterizations of Invertible Matrices; §2.8 Subspaces of \(\mathbb{R}^n\).

Wednesday, September 20th

• Topics: §2.8 Subspaces of \(\mathbb{R}^n\) (contd); §2.9 Dimension and Rank.

Friday, September 22nd

• Topics: §2.9 Dimension and Rank (contd); §3.1 Introduction to Determinants.

Week of September 25th (Week 6)

• O15 and H15 are now due on Thursday, September 28th at 11:00 PM (earlier due on Tuesday, September 26th).

• O16 and H16 are now due on Saturday, September 30th at 11:00 PM (earlier due on Thursday, September 28th).

• Office Hours will be on MWF, 9:30 AM to 11:00 AM this week (i.e., extra office hour on Wednesday).

Monday, September 25th

• Topics: §3.1 Introduction to Determinants (contd); §3.2 Properties of Determinants.

Wednesday, September 27th

• Topics: §3.2 Properties of Determinants (contd); §3.3 Cramer's Rule, Volume, and Linear Transformations.

Friday, September 29th

• Topics: §3.3 Cramer's Rule, Volume, and Linear Transformations (contd).

• Review for Exam 1.

Week of October 2nd (Week 7)

• Exam 1 is on Monday, October 2nd from 8:00 PM to 9:00 PM.

• O17 and H17 are now due on Thursday, October 5th at 11:00 PM (earlier due Tuesday, October 3rd).

• O18 and H18 are due on Thursday, October 5th at 11:00 PM.

• O19 and H19 are due on Saturday, October 7th at 11:00 PM.

Monday, October 2nd

• Topics: §4.1 Vector Spaces and Subspaces.

Wednesday, October 4th

• Topics: §4.2 Null Spaces, Column Spaces, Rows Spaces, and Linear Transformations.

Friday, October 6th

• Topics: §4.2 Null Spaces, Column Spaces, Rows Spaces, and Linear Transformations (contd); §4.3 Linearly Independent Sets, Bases.

Week of October 9th (Week 8)

• O20 and H20 are due on Thursday, October 12th at 11:00 PM.

• O21 and H21 are due on Saturday, October 14th at 11:00 PM.

• Office Hours will be on WF, 9:30 AM to 11:00 AM this week.

Monday, October 9th

• No Class (October Break).

Wednesday, October 11th

• Topics: §4.3 Linearly Independent Sets, Bases (contd).

Friday, October 13th

• Topics: §4.5 The Dimension of a Vector Space.

Week of October 16th (Week 9)

• I will be out of town this week; please see below for necessary adjustments.

• No Office Hours this week in view of my travel.

• No homework due this week.

Monday, October 16th

• Online Class (via Zoom).

• Topics: §5.1 Eigenvector and Eigenvalues; §5.2 The Characteristic Equation.

• Notes: (Oct 16th)

• Video: (Kaltura)

Wednesday, October 18th

• No Class (compensation for evening exam).

Friday, October 20th

• Online Class (via Zoom).

• Topics: §5.1 Eigenvector and Eigenvalues (contd); §5.2 The Characteristic Equation (contd).

• Notes: (Oct 20th)

• Video: (Kaltura)

Week of October 23rd (Week 10)

• O22 and H22 are now due on Tuesday, October 24th at 11:00 PM (earlier due Tuesday, October 17th).

• O23 and H23 are due on Tuesday, October 24th at 11:00 PM.

• O24 and H24 are due on Thursday, October 26th at 11:00 PM.

• O25 and H25 are due on Saturday, October 28th at 11:00 PM.

• Office Hours will be on MWF, 9:30 AM to 11:00 AM this week (i.e., extra office hour on Wednesday).

Monday, October 23rd

• Topics: §5.3 Diagonalization.

Wednesday, October 25th

• Topics: §5.4 Eigenvectors and Linear Transformations.

Friday, October 27th

• Topics: §5.4 Eigenvectors and Linear Transformations (contd); Appendix B: Complex Numbers.

Week of October 30th (Week 11)

• H26 is due on Tuesday, October 31st at 11:00 PM. There is no O26.

• O27 and H27 are due on Thursday, November 2nd at 11:00 PM.

• O28 and H28 are due on Saturday, November 4th at 11:00 PM.

Monday, October 30th

• Topics: Appendix B: Complex Numbers (contd).

Wednesday, November 1st

• Topics: §5.5 Complex Eigenvalues.

Friday, November 3rd

• Topics: §5.7 Applications to Differential Equations.

Week of November 6th (Week 12)

• Exam 2 is on Thursday, November 9th from 8:00 PM to 9:00 PM.

• O29 and H29 are now due on Tuesday, November 7th at 11:00 PM (earlier due Saturday, November 4th).

• Office Hours will be on MWF, 9:30 AM to 11:00 AM this week (i.e., extra office hour on Wednesday).

Monday, November 6th

• Topics: §5.7 Applications to Differential Equations (contd); §6.1 Inner Product, Length and Orthogonality.

Wednesday, November 8th

• Review for Exam 2.

Friday, November 10th

• Topics: §6.1 Inner Product, Length and Orthogonality (contd); §6.2 Orthogonal Sets.

Week of November 13th (Week 13)

• O30-31 and H30-31 are now due on Tuesday, November 14th at 11:00 PM (earlier due Saturday, November 11th).

• O32 and H32 are now due on Thursday, November 16th at 11:00 PM (earlier due Saturday, Tuesday, November 14th).

• O33 and H33 are now due on Saturday, November 18th at 11:00 PM (earlier due Thursday, November 16th).

Monday, November 13th

• Topics: §6.2 Orthogonal Sets (contd).

Wednesday, November 15th

• Topics: §6.3 Orthogonal Projections.

Friday, November 17th

• Topics: §6.4 The Gram–Schmidt Process.

Week of November 20th (Week 14)

• No homework due this week in view of Thanksgiving Break.

Monday, November 20th

• No Class (compensation for evening exam).

Wednesday, November 15th

• No Class (Thanksgiving Break).

Friday, November 17th

• No Class (Thanksgiving Break).

Week of November 27th (Week 15)

• O34 and H34 are now due on Tuesday, November 28th at 11:00 PM (earlier due Saturday, November 18th).

• O35 and H35 are now due on Saturday, December 2nd at 11:00 PM (earlier due Tuesday, November 28th).

• O36 and H36 are now due on Tuesday, December 5th at 11:00 PM (earlier due Saturday, December 2nd).

• Office Hours will be on MW, 9:30 AM to 11:00 AM this week.

Monday, November 27th

• Topics: §6.5 Least-Squares Problems.

Wednesday, November 29th

• Topics: §6.7 Inner Product Spaces.

Friday, December 1st

• Topics: §6.7 Inner Product Spaces (contd); §7.1 Diagonalization of Symmetric Matrices.

Week of December 4th (Week 16)

• I will be out of town for part of this week; please see below for necessary adjustments.

• No homework due in view of Quiet Period for final exams (Update: since O36 and H36 have been postpone, they are now due this week).

• Office Hours will be on MW, 9:30 AM to 11:00 AM this week.

Monday, December 4th

• Topics: §7.1 Diagonalization of Symmetric Matrices (contd).

• Review for Final Exam.

Wednesday, December 6th

• Review for Final Exam.

Friday, December 8th

• Online Class (via Zoom).

• Review for Final Exam.

• Notes: (Dec 8th, Fall 2018, Fall 2022)

• Video: (Kaltura)

Week of December 11th (Final Exam Week)

• Final Exam on Wednesday, December 13th from 1:00 PM to 3:00 PM.

• Office Hours will be on MW, 9:30 AM to 11:00 AM via Zoom this week.