| Monday, January 11 |
First day of class. Introduction to linear algebra. Linear systems, Gauss’s method |
One.I.1 |
Jan 11 |
| Wednesday, January 13 |
Gauss’s method. Describing the solution set. Vectors. |
One.I.2 |
Jan 13 |
| Monday, January 18 |
Dr. Martin Luther King Jr./Idaho Human Rights Day. No classes. |
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| Wednesday, January 20 |
Particular and homogeneous solutions. Linear geometry. |
One.I.3, One.II.1-2 |
Jan 20 |
| Monday, January 25 |
Linear geometry. |
One.II |
Jan 25 |
| Wednesday, January 27 |
Cauchy-Schwarz inequality. Reduced row echelon form. |
One.III |
Jan 27 |
| Monday, February 1 |
Vector spaces, subspaces |
Two.I |
Feb 1 |
| Wednesday, February 3 |
Subspaces, span |
Two.I |
Feb 3 |
| Monday, February 8 |
Linear independence |
Two.II |
Feb 8 |
| Wednesday, February 10 |
Bases. Matrix rank |
Two.III |
Feb 10 |
| Monday, February 15 |
Presidents’ Day. No classes. |
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| Wednesday, February 17 |
Maps between spaces: Isomorphism |
Three.I |
Feb 17 |
| Monday, February 22 |
Review. Isomorphism |
Three.I |
Feb 22 |
| Wednesday, February 24 |
Homomorphisms |
Three.II |
Feb 24 |
| Monday, March 1 |
Range and null space. Homework. |
Three.II |
Mar 1 |
| Wednesday, March 3 |
Computing linear maps. |
Three.III |
Mar 3 |
| Monday, March 8 |
Matrix operations. |
Three.IV |
Mar 8 |
| Wednesday, March 10 |
Matrix multiplication. |
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Mar 10 |
| Monday, March 15 |
Matrix inverses. Homework. |
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Mar 15 |
| Wednesday, March 17 |
More about matrix multiplication |
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Mar 17 |
| Monday, March 22 |
LU decomposition. Fibonacci numbers. Homework. |
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Mar 22 |
| Wednesday, March 24 |
Change of Basis |
Three.V |
Mar 24 |
| Monday, March 29 |
Projections |
Three.VI |
Mar 29 |
| Wednesday, March 31 |
Gram-Schmidt, line of closest fit |
Four.I |
Mar 31, Projection and best fit Sage notebook |
| Monday, April 5 |
Gram-Schmidt, QR factorization |
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Apr 5 |
| Wednesday, April 7 |
Determinants |
Four.I |
Apr 7 |
| Monday, April 12 |
No meeting (Spring Break) |
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| Wednesday, April 14 |
No meeting (Spring Break) |
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| Monday, April 19 |
Similarity. Eigenvalues |
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Apr 19 |
| Wednesday, April 21 |
Eigenvalues |
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Apr 21 |
| Monday, April 26 |
Topics on orthogonal matrices. Review. |
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Apr 26 |
| Wednesday, April 28 |
SVD. Review. |
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Apr 28 |
| Friday, April 30 |
Final exam, take-home part opens |
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| Tuesday, May 4 |
Final exam, take-home due (11:59pm) |
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| Wednesday, May 5 |
Final exam, in-class part, 12-2pm |
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