# Math 54: Linear Algebra and Differential Equations

## Textbook

Linear Algebra and Differential Equations, Second Custom Edition for UC Berkeley, by Lay, Nagle, Saff and Snider.

## Prerequisites

Math 1B or equivalent materials.

## Enrollments

For basic enrollment information, please visit the course page in the mathematics department website. For enrollment issues, pleas contact the math department undergraduate advisors:

• Thomas Brown, 965 Evans, brown@math.berkeley.edu, (510) 643-9292.
• Jennifer Sixt Pinney, 964 Evans, jensixt@math.berkeley.edu, (510) 643-4148.

## Homework, Quizzes, Exams

There will be weekly homework sets, to be updated in the syllabus below. They will be collected in your section meetings on Tuesdays, graded by your section instructors, and returned to you in your section meetings on the next Tuesdays.

There will be 2 quizzes, to be taken in your discussion section. They will be graded by your section instructor and returned to you in the discussion section.

There will be two midterm exams and one final exam. The midterms will be taken in two of the regular MWF classes, graded by the section instructors and me, and returned to you in your discussion section.

Type of Work Date/Due Date Location Percentage
Homework Tuesdays Discussion Section 10%
Midterm I Feb 12 Fri 2050 Valley 20%
Quiz 1 Mar 1 Tue Discussion Section 5%
Midterm II Mar 16 Wed 2050 Valley 20%
Quiz 2 Apr 12 Tue Discussion Section 5%
Final May 10 Tue 1 Pimentel Hall 40%

## Syllabus

The following table describes materials in the textbook covered by the MWF classes every week and homework related to the materials.

Weeks Class Dates Reading Homework Homework Due Date
Week 1 Jan 20, 22 1.1, 1.2

1.1: 8, 12, 18, 24 // 1.2: 4,14, 16, 30

Jan 26 Tue
Week 2 Jan 25, 27, 29 1.3, 1.4, 1.5, 1.7, 1.8

1.3: 2, 12, 14, 24 // 1.4: 4, 8, 12 // 1.5: 10, 12, 16 // 1.7: 6, 18 // 1.8: 2, 4

Feb 2 Tue
Week 3 Feb 1, 3, 5 1.9, 2.1, 2.2 1.9: 2, 6, 18 // 2.1: 2, 4, 6, 10, 20 // 2.2: 2, 8, 10, 14, 32 Feb 9 Tue
Week 4 Feb 8, 10 2.3, 3.1, 3.2, 3.3, 2.3: 4, 6, 8, 20 // 3.1: 10, 12, 14 // 3.2: 8, 22, 26 // 3.3: 6, 14 Feb 16 Tue
Feb 12 Fri Midterm I (covers Chapters 1-3) solution
Week 5 Feb 17, 19 4.1, 4.2 4.1: 2, 6, 8, 12, 30 // 4.2: 4, 12, 16, 20, 24, 26 Feb 23 Tue
Week 6 Feb 22, 24, 26 4.3, 4.4, 4.5, 4.6 4.3: 14, 20, 22// 4.4: 8, 10, 14 // 4.5: 6, 14, 20 // 4.6: 4, 6, 18 Mar 1 Tue
Mar 1 Tue Quiz 1 (covers 4.1-4.6)
Week 7 Feb 29, Mar 2,4 5.1, 5.2, 5.3, 5.4 5.1: 4, 16, 22(a)(b)(d)(e) // 5.2: 14, 16, 20, 22 // 5.3: 4, 10, 18, 22 // 5.4: 6, 16 Mar 8 Tue
Week 8 Mar 7, 9, 11 6.1, 6.2, 6.3 6.1: 10, 14, 20, 24 // 6.2: 10, 12, 14, 24 // 6.3: 4, 8, 14, 22 Mar 15 Tue
Week 9 Mar 14, 18 6.4, 6.5 6.4: 4, 12, 16, 18 // 6.5: 4, 5, 10, 18, 19 Mar 29 Tue
Mar 16 Wed Midterm II (covers 4.1-6.4) solution
In the following, all sections except 7.1 are in Part Two of the textbook.
Week 10 Mar 28,30, Apr 1 7.1, 4.2 7.1: 14, 20, 26, 28 // 4.2: 2, 14, 28, 38, 44 Apr 5 Tue
Week 11 Apr 4, 6, 8 4.3, 4.4 4.3: 6, 20, 22, 26 // 4.4: 12, 14, 16, 26, 28, 30, 32, 34 Apr 12 Tue
Apr 12 Tue Quiz 2 (covers (Part One: 6.5, 7.1) and (Part Two: 4.2, 4.3, 4.4))
Week 12 Apr 11, 13, 15 4.5, 4.6, 6.1 4.5: 2, 8, 18, 20, 30 // 4.6: 4, 10, 12 // 6.1: 16, 20, 22 Apr 19 Tue
Week 13 Apr 18, 20, 22 6.2, 9.1, 9.4 6.2: 2, 14, 18, 20 // 9.1: 6, 8, 12 // 9.4: 8, 12, 20, 24 Apr 26 Tue
Week 14 Apr 25, 27, 29 9.5, 9.6, 9.8 9.5: 12, 16, 26 // 9.6: 2, 6, 8 // 9.8: 8, 10 Ask GSI
May 10 Tue   Final (3:10pm-5:10pm, 1 Pimentel Hall) (sample) (solution of sample)

## RRR and Final

In the RRR week, there will be no lectures from me, but my office hours are open as usual (3:00-4:30 MF, 999 Evans) and with an extra hour (10:00-11:00 Wed, 999 Evans).

The final exam will cover the materials of the whole semester, but with emphasis on differential equations. Exam rule: no textbook, no calculator, but a cheat sheet (letter size, two-sided) is allowed. There is a practice exam posted in the syllabus above.

## Office Hours

My office hours are 3:00pm-4:30pm MonFri, 999 Evans Hall. The following are the emails and office hours of the section instructors:

• Shishir Agrawal(sagrawalx@berkeley.edu), 10:00-12:00 Tue, 1043 Evans
• Rahul Dalal (dalal@berkeley.edu), 12:00-1:00 MonWed, 826 Evans
• Alexis Drouot (adrouot@berkeley.edu), 11:00-1:00 Mon, 835 Evans
• Jonathan Gleason (jgleason@berkeley.edu), 18:30--19:30 TueThu, 87 Evans
• Kyle Miller (kmill@berkeley.edu), 4:00-5:00 Mon, 1:00-2:00 Fri, 1066 Evans
• Dylan Yott (dyott@math.berkeley.edu), 10:00-11:00 TueThu, 1044 Evans
• Qiaochu Yuan (qchu@math.berkeley.edu), 3:30-5:30 Thu, 1041 Evans
• Shenghan Zhang (zhangsh92@berkeley.edu), 11:10-12:10 Tue, 11:10-12:10 Thu, 836 Evans
A student is also welcome to attend office hours of section instructors who do not teach the student's discussion section.

## Special Accommodations

All students requesting special accommodations need to be registered with the Disabled Student Services and need to provide a letter indicating the necessary accommodations. Because it is very difficult to arrange accommodations at the last minute, all requests must be received at least 10 days prior to the exams.