**Instructor**: Elchanan (pronounced EL-kha-nan, “El” for short) Solomon**My Office Hours**: Monday, Thursday, Friday 10am-11am.**TAs**: Yixin Tan, Amisha Gupta, Ravi Gudipally, Rijish Ganguly, Xian Sun**Textbook**: *Linear Algebra and Differential Equations*, by Peterson and Sochacki.**Grade Distribution:** Homework 25%, Midterms 25% each.**Dates: **June 29-August 6 (6 weeks)

**Class Calendars**: Still subject to change. The following calendars contain the lecture schedule, homework due dates, my office hours, and exam dates.

**Lecture Recordings**: The lectures are posted to YouTube as a playlist consisting of a series of short videos, organized by topic.

Section 1.1

Section 1.2

Section 1.3

Section 1.4

Section 1.5

Section 1.6

Section 2.1

Section 2.2

Section 2.3

Section 2.4

Section 2.5

Section 3.1+4.1

Section 4.2

Section 4.3

Section 4.5

Section 5.1

Section 5.2

Section 5.3

Section 5.4

Section 5.5

Section 9.1

Section 9.2

Section 9.3

Section 6.1

Section 6.2

Section 6.3

Section 6.4

Section 6.5

**Midterms****Any accommodations (rescheduling, extra time, etc.) must be communicated to the instructor at least 1 week in advance of the midterm.**

Midterm 1: Sections 1.1-2.4

Midterm 1 Solutions

Practice Problems: 1.1 (18,24), 1.2 (10,17), 1.3 (5), 1.4 (3,5,19), 1.5 (6,13), 1.6 (3,8), 2.1 (7,8), 2.2 (1,4,5,6,15), 2.3 (6,12,23), 2.4 (2(a,b)3(c),8)

Practice Midterm (thanks Dr. Akos Nagy!)

Midterm 2: Sections 3.1-5.5

Practice Problems: **4.1**(7,13,23), **4.2**(3,8,27,40),**4.3**(10,19,24) ,**4.5**(5), **5.1**(7,11,21,27), **5.2**(5,13,25) **5.3**(2,9)**, 5.4**(3,9,15,25)**5.5**(3,9,15,34)

Midterm 2 Solutions

**Homework**: To be posted here and submitted on Gradescope.** Due date is listed on Calendar, due by 11pm**. Half of the homework problems are graded on the 0/1/2 (incorrect, partially correct, fully correct) scale, and the other half on the 0/1 (no work, some work) scale. **When posting to Gradescope, correctly match each problem with the page it is on, indicate each problem clearly, and circle your final answer when appropriate**; failure to do so will result in a loss of points.**Homework 1**: **Section 1.1** (2,8,15,17,23), **Section 1.2** (2,9,12,14,18,20,22,23,28,30(a)), **Section 1.3 (**1,6,7,10,11,16,20)

Homework 1 Solutions**Homework 2:** **Section 1.4** (4,11,12,20,32),** Section 1.5** (4,5,8,12,16), **Section 1.6** (4,6,10,11,15(c),16)

Homework 2 Solutions**Homework 3**: **Section 2.1** (3,6,12), **Section 2.2 **(2(b,d),3,11,12,13)

Homework 3 Solutions**Homework 4**: **Section 2.3** (7,10,14,17,24,25,27), **Section 2.4** (1(c,d),2(c,d),3(a,b),4(c,d),7(a,b,d),14,17,18,21)

Homework 4 Solutions**Homework 5**: **2.5**(6,7,8,10,11,12,14,15(hint:use row operations)) , **3.1**(1,4,7), **4.1**(1,2,3,4,5,6,9,10,15,17), **4.2**(2,5,7,10,11,12,13,20,22)

Homework 5 Solutions**Homework 6**: **4.3**(1,4,9,11,18,26) ,**4.5**(1,3), **5.1**(4,6,8,10,12,14,20,23)

Homework 6 Solutions**Homework 7: 5.2**(4, 6, 8, 10, 12, 14, 20, 23), **5.3**(1, 5, 6, 8, 10, 11,12, 13)

Homework 7 Solutions**Homework 8: 5.4**(2, 5, 7, 8, 16, 17, 21, 22, 23, 26),**5.5**(2, 5, 7, 8, 16, 17, 31, 33)

Homework 8 Solutions**Homework 9: 9.1**(2, 6, 7, 9, 16, 18, 20, 21, 22),**9.2**(1, 2, 3, 6, 13, 15, 16),**9.3**(2, 3, 7, 9, 18, 19)

Homework 9 Solutions**Homework 10:** **6.1**(1, 2, 4, 5, 6, 9, 10, 13, 17),**6.2**(3, 5, 11, 15, 22, 25, 30),**6.4**(1, 5, 11, 13, 15), **6.5**(4,5,6,8,13)

**Course Structure:** The lectures will be **completely asynchronous**, posted on YouTube as a series of short videos. The class will be divided randomly into groups of about five students. Each student will belong to **two** groups: a **work group** and an **office hour** **group**. The purpose of a **work group** is to give you a small group of friends with whom to talk about lectures, homework, and life. **Work groups** will not be montired by the TAs or myself, but are encouraged to meet regularly. The **office hour group**, which will contain different people, will be your fellows for your **bi-weekly TA office hours**. Your assigned TA will have two 90-minute meetings a week. The time of the TA office hours is not decided in advance, but will determined with input from students, so the time works for everyone. Every week, I will have **three hours** of office hours, **two** of which will be regular ‘math’ office hours, and **one** of which will be a **chill office hour**.

**Homework **will be due twice weekly, to be submitted on **Gradescope **(don’t worry, it’s free and user friendly — I’ll explain more later). There will be **three non-cumulative midterms**. I intend for the midterms to be **open note** and **open book**, and for you to get **plenty of time** to do the problems. To prevent cheating, there will be a **very high standard for showing your work** and **non-standard problem formats**.

I have created a Piazza page (accessible via Sakai) for the course, where you can ask each other questions and advice. This will not be moderated by either myself or the TAs. I am also **planning** on having a **pre-Term II meet-&-greet**, to get the ball rolling, hear your thoughts, see your beautiful faces, etc. etc.

**Organization Tips: **Watch the new video lecture every day. Meet regularly with your work and TA groups. Work on homework every day. Study for midterms on the weekends.

**Online Resources**

Piazza (accessible via Sakai)

GradeScope (I will share the entry code by email)

DukeHub

**Useful Links:**

3blue1brown linear algebra series.

3blue1brown differential equations videos.

Gilbert Strang’s Linear Algebra videos on MIT OCW may prove useful to some, but cover a lot of material not included in this course, in addition to covering material in a different order.