Math 54

Linear Algebra and Differential Equations

Lectures: MWF 3:00-4:00pm, 155 Dwinelle         Course Control Number: 54086

Office hours Tu 11:00 am - 12:00 noon, Th 12:00 noon - 1:00 pm, at the Student Learning Center, and by appt.

Table of Contents

• Course Info
• Resources (books, notes, more)
• Academic honesty
• Assignments
• Exams

Syllabus

Part I: Sections 1.1 - 1.9, 2.1 - 2.3, 2.8 - 2.9, 3.1 - 3.3, 4.1 - 4.7, 5.1 - 5.4, 6.1 - 6.7, 7.1 - 7.2.

Part II: Sections 4.1 - 4.6, 6.1 - 6.2, 9.1, 9.4 - 9.8, 10.1 - 10.7.

Topics covered

• 08/26: Introduction and logistics. Section 1.1.
• 08/29: Section 1.2.
• 08/31: Sections 1.3, 1.4.
• 09/02: Sections 1.5, 1.7.
• 09/05: No class: Labor Day.
• 09/07: Sections 1.8, 1.9.
• 09/09: Sections 2.1, 2.2.
• 09/12: Sections 2.3, 2.8.
• 09/14: Sections 2.9, 3.1.
• 09/16: Section 3.2.
• 09/19: 1st midterm, in class.
• 09/21: Section 3.3.
• 09/23: Section 4.1.
• 09/26: Section 4.2.
• 09/28: Sections 4.3, 4.4.
• 09/30: Sections 4.5, 4.6.
• 10/03: Section 4.7.
• 10/05: Sections 5.1, 5.2.
• 10/07: Sections 5.3, 5.4.
• 10/10: Sections 5.4, 5.5.
• 10/12: Sections 6.1, 6.2.
• 10/14: Sections 6.2, 6.3.
• 10/17: Section 6.4.
• 10/19: Sections 6.5, 6.6.
• 10/21: Sections 6.7, 6.8.
• 10/24: Section 7.1.
• 10/26: Section 7.2.
• 10/28: 2nd midterm, in class.
• 10/31: Part II, Sections 4.1, 4.2.
• 11/02: Part II, Sections 4.3, 4.4.
• 11/04: Part II, Section 4.5.
• 11/07: Part II, Section 4.6.
• 11/09: Part II, Sections 6.1, 6.2.
• 11/11: No class: Veterans' Day.
• 11/14: Part II, Sections 9.1, 9.4.
• 11/16: Part II, Sections 9.5, 9.6.
• 11/18: Part II, Sections 9.7, 9.8.
• 11/21: Part II, Sections 10.1, 10.2.
• 11/23: Part II, Sections 10.3, 10.4.
• 11/25: No class: Thanksgiving.
• 11/28: Part II, Section 10.5.
• 11/30: Part II, Section 10.6.
• 12/02: Part II, Section 10.7.
• 12/13: Final test, 145 and 155 Dwinelle Hall.

Resources

• Books: Lay's Linear Algebra and Nagel, Saff and Snider's Fundamentals of Differential Equations, combined Berkeley custom edition.

Academic honesty

The instructor welcomes cooperation among students and the use of books. However, handing in homework that makes use of other people's work (be it from a fellow student, a book or paper, or whatever) without explicit acknowledgement is considered academic misconduct.

Assignments

All homework problems are from Lay's Linear Algebra and Nagel, Saff and Snider's Fundamentals of Differential equations, combined Berkeley custom edition.

• Homework assignment #1, due Sep 7th:
  Sec 1.1 - 3, 4, 6, 11, 13, 18. Sec 1.2 - 1, 3, 7, 10, 24, 29, 30. Sec 1.3 - 6, 12, 15, 18, 22, 25. Sec 1.4 - 3, 5, 8, 14, 23, 28. Sec 1.5 - 1, 5, 8, 14, 23.
• Homework assignment #2, due Sep 14th:
  Sec 1.6 - 1, 2, 5, 8, 14. Sec 1.7 - 2, 7, 10, 20, 25, 32. Sec 1.8 - 1, 4, 7, 12, 16, 22, 35. Sec 1.9 - 3, 8, 11, 16, 19, 35. Sec 2.1 - 1, 6, 11, 12, 17, 28.
• Homework assignment #3, due Sep 21st:
  Sec 2.2 - 2, 9, 12, 13, 19, 24. Sec 2.3 - 2, 5, 12, 14, 17, 28. Sec 2.8 - 5, 8, 13, 18, 24, 29. Sec 2.9 - 2, 7, 10, 15, 18, 20. Sec 3.1 - 3, 9, 12, 20, 26, 33.
• Homework assignment #4, due Sep 28th:
  Sec 3.2 - 6, 11, 22, 25, 28, 29, 35, 44. Sec 3.3 - 2, 11, 16, 20, 25, 29, 32. Sec 4.1 - 2, 6, 10, 13, 20, 23, 28, 32. Sec 4.2 - 2, 3, 10, 19, 26, 31, 36.
• Homework assignment #5, due Oct 5th:
  Sec 4.3 - 11, 16, 20, 22, 25, 31. Sec 4.4 - 6, 11, 15, 20, 23, 24. Sec 4.5 - 3, 8, 14, 21, 25, 30. Sec 4.6 - 2, 9, 13, 16, 20, 28. Sec 4.7 - 1, 4, 6, 9, 12, 16.
• Homework assignment #6, due Oct 12th:
  Sec 5.1 - 7, 12, 15, 20, 22, 25. Sec 5.2 - 2, 9, 11, 18, 20, 25. Sec 5.3 - 2, 5, 14, 22, 27, 32. Sec 5.4 - 3, 6, 8, 12, 25, 28. Sec 5.5 - 3, 9, 17, 23, 24, 25.
• Homework assignment #7, due Oct 19th:
  Sec 6.1 - 2, 9, 14, 17, 24, 26, 30, 31. Sec 6.2 - 6, 10, 13, 21, 26, 33, 34. Sec 6.3 - 3, 10, 11, 16, 14, 18, 21, 23. Sec 6.4 - 4, 9, 14, 18, 19, 20, 22.
• Homework assignment #8, due Oct 26th:
  Sec 6.5 - 3, 6, 10, 14, 17. Sec 6.6 - 2, 3, 6, 9, 14. Sec 6.7 - 3, 6, 11, 14, 18, 19. Sec 6.8 - 5, 6, 7, 8, 13, 14. Sec 7.1 - 2, 11, 17, 20, 24, 32. Sec 7.2 - 3, 6, 9, 14, 22, 26.
• Homework assignment #9, due Nov 9th :
  Part II, Sec 4.1 - 3, 8. Sec 4.2 - 5, 8, 16, 28, 36, 37, 39. Sec 4.3 - 5, 12, 25, 29, 31. Sec 4.4 - 3, 6, 14, 18, 29, 33. Sec 4.5 - 2, 5, 9, 18, 29, 32. Sec 4.6 - 6, 8, 17, 22.
• Homework assignment #10, due Nov 16th:
  Part II, Sec 6.1 - 2, 5, 7, 12, 22, 23, 25, 29. Sec 6.2 - 5, 10, 14, 15, 19, 20, 22, 26. Sec 9.1 - 2, 8, 11, 12. Sec 9.4 - 2, 6, 10, 17, 23, 28, 35.
• Homework assignment #11, due Nov 23rd:
  Part II, Sec 9.5 - 12, 14, 19, 24, 26, 32, 34, 35. Sec 9.6 - 2, 6, 13, 20, 21, 23. Sec 9.7 - 2, 3, 5, 8, 10, 12, 14, 21. Sec 9.8 - 2, 6, 10, 11, 18, 23, 25, 26.
• Homework assignment #12, due Nov 30th:
  Part II, Sec 10.2 - 5, 8, 9, 12, 15, 18, 22, 24, 27, 28, 32. 10.3 - 3, 4, 7, 8, 10, 13, 14, 25, 28. 10.4 - 1, 4, 5, 8, 10, 11, 14, 16, 17, 18.
• Homework assignment #13, due Dec 5th:
  Part II, Sec 10.5 - 1, 2, 5, 11, 15. Sec 10.6 - 2, 5, 6, 9, 13, 16. Sec 10.7 - 1, 2, 4, 5.

Exams

1st midterm: Monday, September 19th, in class (room 947 Evans Hall for DSP students).

Material for the 1st midterm: Sections 1.1 - 1.9, 2.1 - 2.3, 2.8 - 2.9, 3.1 - 3.2.

A mock midterm can be found here, in PS and in PDF. Solutions to the mock midterm, in PS and in PDF.

2nd midterm: Friday, October 28th, in class (room 740 Evans Hall for DSP students).

Material for the 2nd midterm: Sections 3.3, 4.1 - 4.7, 5.1 - 5.5, 6.1 - 6.8, 7.1 - 7.2.

A mock midterm can be found here, in PS and PDF. Solutions to the mock midterm, in PS and in PDF.

Final: Tuesday, December 13th, 7-10pm, 145 and 155 Dwinelle Hall (961 Evans Hall for DSP students).

Material for the final: everything covered in class (with heavy emphasis on Part II).

Test location: 145 Dwinelle Hall (discussion sections of Daniel Appell, Oran Gannot and Ivan Ventura) and 155 Dwinelle Hall (all remaining sections). DSP students should report to 961 Evans Hall at 4:00pm on the same day, December 13th.
The seating in Dwinelle Hall will be in groups according to discussion sections. Students IDs will be checked by the GSIs.

A mock final can be found here, in PS and in PDF. Solutions to the mock final, in PS and in PDF.
The actual final of 2010 is here, in PS and in PDF.

All exams are closed book. 1 sheet of notes for the midterm, 2 sheets of notes for the final are allowed (may be two-sided).