### Math 253: Linear AlgebraJosh Laison Fall 2015

Alicia, Daniel, Thao, Mattie, Jaclyn, Katy, Jeff, Kyler, Shelby, Nathan, Dan, Jacob, Sasha, Maggie, Stephanie, Ariel, Harry, Aaron, Zach

Course Procedures
Final Presentation guidelines

Course calendar:
Tuesday Thursday
Week 1 Aug 25: (Vectors class presentation)
First day of class.
Aug 27 (Linear systems class presentation)
Exercises 1: Section 1.1: 13, 15, 19, D3, D7, D8, D9, Section 1.2: 19, 20, 25, 33, D3, D9, D10,
Section 1.3: 15, 23, 35, 37, D4, D5, Section 2.1: 7, 19, 25, 27, D4, D5, D8, D9
Week 2 Sep 1: (Application to flow)
(Matrix algebra class presentation)
Challenges 1: Section 1.1: P2, Section 1.2: P6, P7b, Section 1.3: D3, Section 2.2: P1
Sep 3: Exercises 2: Section 2.2: 7, 11, 25, 33, 41, 52, D1, D3, D5, D7, D8, T1
Section 3.1: 3, 7, 17, 31, 34, D2, D4, D5, D7, D8, D9, T2
Week 3 Sep 8: (Invertible matrices class presentation)
Quiz 1
Sep 10: Challenges 2: Section 3.1: P2, Section 3.2: D6, D8, Section 3.3: P3, P4
Week 4 Sep 15: (Subspaces class presentation)
Exercises 3: Section 3.2: 17, 21, 29, 30, D4, D5, D7, Section 3.3: 3, 7, 15, 20, 21, D2, D5, D6, D7,
Section 3.4: 3, 9, 17, 23, 25, 33, D1, D2, D4, D5, D6, D7
Sep 17 (Linear transformations class presentation)
Challenges 3: Section 3.4: 30, P2, P3, Section 3.5: P1, P2, P3
Week 5 Sep 22: (Application to network distance)
Quiz 2
Sep 24
Week 6 Sep 29:(Linear transformations part 2 class presentation)
Exercises 4: Section 3.5: D2, D4,
Section 6.1: 3, 9, 11, 15, 17, 19, 21, 23ab, 25ab, 37, 39, D1, D4, D5, D6,
Section 6.2: 7, 9, 11, 15, 17, 19, 21, 30
Oct 1: Challenges 4.
Week 7 Oct 6: (Basis and dimension class presentation)
Quiz 3
Oct 8
Week 8 Oct 13: (Big Theorems and Spaces presentation)
Midterm due.
Oct 15: Exercises 5: Section 6.3: 5, 11, 17, 19, 20, D1, D2, D3, Section 6.4: 19, 23, D1,
Section 7.1: 5, 11, D1, D2, D3, Section 7.2: 1, 3, 9, 11, 13, 17, 19, D1, D2, D3
Week 9 Oct 20 (Vector Spaces presentation) Oct 22 Quiz 4
Supreme court vector space academic article and New York Times article
Week 10 Oct 27: (Determinants presentation)
Challenges 5: Section 7.1: P2, Section 7.2: P4, P5, Section 7.3: D3, P3, Section 9.1: 32
Oct 29
Week 11 Nov 3: (Eigenvectors presentation)
Exercises 6: Section 7.3: 15, 19, D1, D2, D7, Section 7.4: D5, D10, Section 9.1: 1, 3, 7, 9, Section 9.3: 3, 5, 7, 24, 25, Section 4.1: 7, 19, 25, D1, D3, Section 4.2: 24, 27, D3, D4, D8, D10
Nov 5 Sample beamer file, beamer tutorial, and sample themes
Week 12 Nov 10 (Coordinates presentation) Nov 12: Quiz #5
(Similarity and diagonalizability presentation)
Week 13 Nov 17: Challenges 6: Section 4.2: 36, 40, P2, Section 4.4: P1, P3, Section 8.1: 24, P3 Nov 19: Presentations by Aaron, Mattie and Jaclyn, and Kyler.
Week 14 Nov 24: Presentations by Nathan, Dan A. and Shelby, Maggie and Stephanie. Nov 26: Thanksgiving break, no class today!
Week 15 Dec 1: Presentations by Jeff and Katy, Harry and Ariel, Sasha, and Zach. Dec 3: Presentations by Thao, Dan P, and Alicia, and Jacob.
Last day of class!
Dec 12: Final exam due.