Math 54 Summer 2007


Dan Berwick Evans

Office Hours: Tu 3:30-5, 1-2:30 in 832 Evans


Announcements:

Grading policy, exam schedules and other useful information is on the syllabus.

A variety of free linear algebra books can be had here. Another one is here.

MIT Open Course List (free lectures) is here.

More links and resources are on the Wikipedia entry for linear algebra. There is also an entry for differential equations.

There will be a review session for Midterm 1 on Wednesday July 11, 7-8:30pm. We will meet at 71 Evans.

The review session for Midterm 2 will be Wednesday, July 25th 7-8:30 in Room 3 Evans.

The review for the final will be in 4 Evans on August 15th from 7-8:30 pm.


Quizzes and Handouts:

A Brief Introduction to Complex Numbers

Linear Equations Worksheet

Introduction to Matrices Worksheet

Span, Basis and Linear Indepdence Worksheet

Vector Spaces and Null Space Worksheet

Vector Spaces and Linear Transformations Example Proofs

Orthogonal Matrices and Inner Products

Midterm 1 Review Sheet

Gram-Schmidt and Least Squares Worksheet

Eigenvector and Eigenvalue Worksheet

Diagonalization Worksheet

Midterm 2 Review Sheet

Linear Differential Equations Worksheet 1

Linear Differential Equations Worksheet 2

Seperation of Variables Worksheet

Fourier Practice Problems

Final Review Sheet


Homework:

Due June 27th: Hill 1.1: 1-6, 29-32. 1.2: 15,17,18,20,22,24.

Due June 29th: Hill 1.3: 1,2,3,9,11,15,27. 1.4: 1,4,9,14,16,25,28,31,34,35,39,40,48,49. 1.6: 13,14.

Due July 9th: Hill 3.1: 2,4,7,11,13,20. 3.2: 1,10. 3.3: 2,3,12,15,18,27,28. 3.4: 1,3,7,8,11,15,29,32,33,39,48. 3.5: 13,14,18,22,31,34. 3.6: 7,17. 3.7: 11,15,21,22,43.

Due July 12th: 3.2: 17,18. 3.8: 10,11,25. 4.1: 1,41. 4.2: 33. 4.4: 23,29. 4.5: 11,23.

Due July 18: 4.3: 7,10,23. 4.4: 18,19,24,27,28.

Due July 20: 5.1: 5,13,14,33,35,38. 5.2: 7,8,11,18,21,24-26,31.

Due July 26: 5.3: 18,23,26,27,32,34,37. 5.4: 7,8,9,24,25.

Due August 1: Boyce and DiPrima p 398: 5,9,15,17,25,28,31. p 410: 1,9,19,23.

Due August 8: 142: 3,7,21,28. 151: 17,23,26,28,29,33,34,35. 158: 5,7,17,18,24,25.

Due August 10: 222: 5,9,15,20. 585: 13,15.