Schedule
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- 6/3
- Topic: Systems of differential equations.
- Class Notes for the Day
- Prepare For: Final on Thursday, June 9th from 10:00 AM-12:00PM. Look here for study suggestions.
- 5/31
- Topic: Finding eigenvalues and eigenvectors.
- Class Notes for the Day
- Prepare For: Exam 5 on Wednesday, June 1st. It will cover Assignments 20-23 and the Legendre Polynomial handout.
- 5/27
- 5/25
- Topic: Multiplying matrices, integration.
- Class Notes for the Day
- Watch: This video on solving a system using LU-factorization.
- Read: About solving a system using LU-factorization in Section 7.2 here.
- Read: About the outer product of two matrices on page 16 here.
- Turn In: All of the Legendre polynomials handout by noon on Thursday, 5/26.
- Turn In: Assignments 20 and 21, Assignment 22, all due at the start of class on Friday, 5/27.
- 5/24
- Topic: Least squares approximation, LU-factorization.
- Class Notes for the Day
- Watch: This video on solving a system using LU-factorization.
- Read: About solving a system using LU-factorization in Section 7.2 here.
- Turn In: Revised exercises 1 - 14 from the Legendre Polynomials Handout.
- 5/23
- 5/18
- Topic: Legendre polynomials.
- Class Notes for the Day
- Turn In: Exercises 1 - 14 from the Legendre Polynomials Handout.
- 5/17
- 5/16
- 5/13
- 5/11
- Topic: Gram-Schmidt orthogonalization, norms.
- Class Notes for the Day
- Turn In: Section 3.4: 1, 3 Section 3.5: 2, 3, 4, 7
- 5/10
- 5/9
- 5/6
- 5/4
- 5/3
- 5/2
- Topic: Projections, orthogonal bases.
- Class Notes for the Day
- Turn In: 3.2: 6, 2.4: 1 due Wednesday at the start of class
- Prepare For: Exam 3 on Tuesday, May 3rd over sections 2.2, 2.3, 3.1, 3.2
- 4/29
- Topic: Projections, orthogonal bases.
- Class Notes for the Day
- Turn In: 3.1: 10, 3.2: 1, 2, 4
- Prepare For: Exam 3 on Tuesday, May 3rd over sections 2.2, 2.3, 3.1, 3.2
- 4/27
- Topic: Linear transformations, kernel and range ...
- Class Notes for the Day
- Turn In: 2.3: 6 indication clearly how you get your answer, 3.1: 1c,d, 3, 4, 5, 6.
- 4/26
- 4/25
- 4/22
- Topic: Kernel and Range of a transformation.
- Class Notes for the Day
- Turn In: Assignment 8 - if you want to do this you'll have to pick it up from the bulletin board outside my office door in time to do it.
- Turn In: Section 2.2: 9 Give the kernel and range using set builder notation. Give a basis for each, and the rank and nullity.
- Turn In: Section 2.2: 12, 13 and Section 2.1:19, 20
- 4/20
- Topic: Kernel and Range of a transformation.
- Class Notes for the Day
- Turn In: Section 2.2: 1, 2, 3, 5, 7. Number 5 might be bit confusing - do the best that you can. For number 7 do the kind of thing we did in class.
- 4/19
- 4/18
- 4/15
- 4/13
- Topic: Continuous functions.
- Class Notes for the Day
- Turn In: Section 2.1: 3, 4, 5, 7 do in the manner shown in the examples
- 4/12
- Topic: Change of basis.
- I made a mistake and did not save the Class Notes for the Day
- Turn In: Section 1.6: 1 all due at the start of class on Wednesday
- 4/11
- Topic: Continuous functions.
- Class Notes for the Day
- Suggested: Section 1.1: 1 - 3
- Turn In: Section 1.6: 1 all due at the start of class on Wednesday
- 4/8
- Topic: Subspace proofs and counterexamples.
- Class Notes for the Day
- Turn In: Section 1.3: 1b,d,e, 5, 12, 13 Write a general element as a linear combination of specific vectors as shown on page 12 of the
- class notes and Example 1.3(a)
- Turn In: Section 1.3: 1b, 16 These are subspaces. Prove they are in the manner demonstrated in the class notes.
- Turn In: Section 1.3: 1c This is not a subspace. Provide a counterexample in the manner demonstrated in the class notes.
- 4/6
- 4/5
- 4/4
- Topic: Bases of spaces and subspaces.
- Class Notes for the Day
- Turn In: Section 1.5 Exercise 4a,b,c,e, try (d) even though we didn't go over it in class - see if you can get it from the definition
- 4/1
- 3/30
- 3/29
- 3/28
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