The Ambassadors by Holbein the Younger (1533). Music by Bernard Herrmann (1952).

# Linear Algebra (110.201) Spring 2013

Instructor:Carl McTague
Lectures:
 MWF 10–10:50am (sections 1–5) 11–11:50am (sections 7–9)
in Remsen 101
Office Hours:MW 12–1pm (or by appt.)
in Krieger 208
Text:Otto Bretscher, Linear Algebra with Applications, 4th Ed., Prentice Hall, 2009 (Amazon).

### Announcements

 7 May The exam will be 9am–12pm on Weds 8 May. Here is where to it based on your surname: A–C in Shaffer 301, D–M in Remsen 101, N–Sh in Shaffer 303, and Si–Z in Shaffer 101. 5 May Exam Week office hours will be 3–5 Mon 6 May. 27 Apr Office hours for Week 13 will be 3–5pm Fri 3 May. The homework for Week 13 will not be collected. The material for Week 13 will be on the final exam. 16 Apr There will be a quiz in section next week. 10 Apr The homework for Week 9 will be collected in lecture Mon 15 April. The homework for Week 10 will be collected in lecture Weds 17 April. 1 Mar The first midterm exam on Mon 4 March will cover §§1.1–3.3. The homework for Week 5 will be collected in lecture on Weds 6 March. 20 Feb From now on homework will be collected in lecture on Mondays. 12 Feb The first quiz will be in section next week, on 19 or 21 Feb. It will cover the material up through §2.3. 28 Jan The homework policy has changed. The first homework assignment will be collected at the beginning of lecture next Fri 8 Feb. 18 Jan The first lecture will be Mon 28 Jan.

### Homework

1–228 Jan§§1.1–1.3§1.1: 2, 6, 10, 12, 14, 16, 18, 20.
§1.2: 2, 8, 10, 18, 30, 34, 42.
§1.3: 4, 6, 10, 14, 20, 24, 26, 28.
311 Feb§§2.1–2.3§2.1: 1–3, 6, 8, 24, 26, 28, 30.
§2.2: 4, 6, 8, 18, 20, 33.
§2.3: 4, 6, 8, 10, 16, 34, 40, 44.
418 Feb§§2.4–3.2§2.4: 10, 12, 20, 24, 29, 32, 48, 70.
§3.1: 2, 6, 10, 16, 24, 30, 34, 48.
§3.2: 2, 6, 8, 18, 34, 36.
525 Feb§§3.3–3.4
& review
§3.3: 6, 8, 16, 24, 28, 30, 32.
§3.4: 4, 14, 22, 30, 38, 40, 44.
711 Mar§§4.1–4.3§4.1: 4, 6, 10, 18, 20, 41.
§4.2: 4, 10, 22, 30, 48, 54, 56.
§4.3: 4, 7, 22, 28, 42, 47, 48.
825 Mar§§5.1–5.3§5.1: 4, 6, 8, 10, 12, 15, 17, 28.
§5.2: 2, 6, 14, 16, 20, 28, 32, 34, 39, 40.
§5.3: 4, 8, 20, 22, 28, 30, 35, 40.
91 Apr§§5.4–5.5
& §6.1
§5.4: 2, 10, 20, 22, 26, 30, 32.
§5.5: 9, 10, 12, 16, 17, 20.
§6.1: 6, 12, 18, 26, 34, 40, 44, 46.
108 Apr§§6.2–6.3§6.2: 2, 8, 16, 22, 26, 48.
§6.3: 2, 4, 10, 11, 14.
1115 Apr§§7.1–7.3§7.1: 2, 6, 15, 18, 19, 36.
§7.2: 2, 6, 10, 16, 22, 34, 38.
§7.3: 4, 8, 12, 14, 20, 23, 36.
1222 Apr§§7.4–7.6§7.4: 18, 20, 30, 32, 36, 42, 46, 54.
§7.5: 2, 6, 12, 22, 24, 30.
§7.6: 4, 6, 10, 20, 34, 41.
1329 Apr§§8.1–8.3§8.1: 6, 10, 12, 13, 16, 22, 24.
§8.2: 2, 6, 8, 10, 22, 24.
§8.3: 2, 4, 6, 8, 16, 33.
Homework is collected in lecture on Monday of the following week.

### Sections

TAtimeroomofficehourshelp roomhours (Krieger 213)
1ZhangTues1:30–2:20pmKrieger 304Thurs 3–4pmin Krieger 200Thurs1–3pm
2ZhangTues3–3:50pmBloomburg 274Thurs 3–4pmin Krieger 200Thurs1–3pm
3GrossmannTues4:30–5:20pmMaryland 217Weds 3–4pmin Krieger 207Weds11am–1pm
4SunThurs1:30–2:20pmKrieger 205Tues 6–7pmin Krieger 200Tues7–9pm
5McGonagleThurs3–3:50pmKrieger 300Weds 2:30–3:30pmin Krieger 200Mon1–3pm
7ChangTues1:30–2:20pmKrieger 308Thurs 1–2pmin Krieger 211Thurs5–7pm
8McGonagleTues3–3:50pmHodson 211Weds 2:30–3:30pmin Krieger 200Mon1–3pm
9MinchevaThurs3:00–3:50pmMaryland 114Thurs 2–3pmin Krieger 411Weds3–5pm

### Syllabus

We will cover most of the text. Key topics will include:

Vector spaces, matrices, and linear transformations. Solutions of systems of linear equations. Eigenvalues, eigenvectors, and diagonalization of matrices. Applications to differential equations.

Homework 15%Quizzes 5%First Midterm Exam 20%Second Midterm Exam 20%Final Exam 40% .

Homework: Your assignments will be posted above. They will be collected, in lecture on Mondays, and returned in section. Late homework will not be accepted. However, the lowest two scores will not count toward your grade. You are encouraged to discuss homework problems with one another. However, each of you must write up your solutions independently, in your own words, without supervision or well-meaning influence from anyone else. Disputes regarding homework grading should be discussed with your TA.

Quizzes: Two quizzes will be administered in section. The 1st roughly midway between the beginning of the semester and the first midterm, the 2nd roughly midway between the 2nd midterm and the final. There will be no makeup quizzes. If you miss a quiz then you will get a zero for that quiz. In exceptional circumstances documented by a letter from your doctor or your academic supervisor, the remaining quiz may be given correspondingly more weight to take up the slack.

Midterm Exams will be in class on Mon 4 March and Mon 8 April. Books, notes, phones & calculators are forbidden. You must bring your ID to the exam, and may be called upon to show it. If you do not have your ID and your TA cannot attest to your identity then you may not receive a grade for the exam. The first midterm is scheduled so that the grades will be available before the add/drop deadline. You have the one hour of section time to bring up grading errors or omissions on the midterms, once they have been returned to you. You may not take the exam home and bring it back for corrections.

The Final Exam will be 9am–12pm on Weds 8 May. Further particulars nearer the time.

Absence: You are expected to attend class and take exams as scheduled. There will be no makeup exams. If you miss a midterm exam then you will get a zero for that exam. If you miss the final exam then you will automatically fail the course. In exceptional circumstances documented by a letter from your doctor or your academic supervisor, the remaining homework and final exam may be given correspondingly more weight to take up the slack.

$$\begin{bmatrix} \sqrt{11} & 1 & 0 & \sqrt{19} \\ 1 & \sqrt{2} & \sqrt{7} & 1 \\ 0 & \sqrt{3} & \sqrt{5} & 0 \\ \sqrt{13} & 0 & 1 & \sqrt{17} \end{bmatrix} \cdot X = 0$$

Disability: Any student with a disability who may need accommodations in this class must obtain an accommodation letter from Student Disability Services, 385 Garland, (410) 516-4720, studentdisabilityservices@jhu.edu.

Ethics: Don’t get it WRONG, like Kant! Seriously though, cheating & other forms of academic dishonesty are corrosive & harmful to our university:

The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition.

Report any violations you witness to the instructor. You may consult the associate dean of student affairs and/or the chairman of the Ethics Board beforehand. See the guide on “Academic Ethics for Undergraduates” and the Ethics Board Web site for more information.