This is the course-wide webpage with common guidelines for all learning sections. Please consult your section webpage (below) for additional information.

Students waiting to enroll in the course should attend class and check
SPIRE to see if a slot in the desired section opens. If an override
is still needed, **please wait till AFTER WEEK 1 OF CLASSES
ENDS to contact your (desired) section instructor**, cc'ing the
course chair Professor Rob Kusner
profkusner@gmail.com
with the following information: (1) sections of the course which
conflict with other courses on your academic schedule, and (2) your
desired section of the course. (Unfortunately, in order to keep the
sections balanced, we cannot guarantee that you will be assigned to
your desired section.)

**Course-wide Videos**

We have created and are updating a series of our our own short
videos to help you learn linear algebra; *please watch
and think about them before each class!*

**Weekly Reviews in DuBois Library 1206**

Our undergraduate SI, Caroline Ye, is holding twice-weekly **Math
235 review sessions in the DuBois Library (room 1206) every Tuesday
(5:30–6:45PM) and Friday (2:30–3:45PM).**

**Syllabus and Weekly Schedule**

Math 235 is an introductory course on linear algebra, covering systems of linear equations, matrices, linear maps, determinants, vector spaces, eigenvalues and eigenvectors, and orthogonality.

The schedule below gives the topics from the course text to be covered
each week - we use **Wednesday's** date because Wöden is great - this is a guideline which
may be modified by your instructor as necessary (especially during the
COVID pandemic and with winter weather, when Zoom sessions may need to replace in-person meetings):

[Week 1] 02/02: 1.2 Row reduction and echelon forms; 1.3 Vector equations.

[Week 2] 02/09: 1.4 The matrix equation AX=B; 1.5 Solution sets of linear systems.

[Week 3] 02/16: 1.7 Linear independence; 1.8 Introduction to linear maps.

[Week 4] 02/23: 1.9 The matrix of a linear map; 2.1 Matrix operations.

[Week 5] 03/02: 2.2 The inverse of a matrix; 2.3 Characterizations of
invertible matrices.

* Common Midterm I: [7-9PM* Thursday 03 March 2022]*

[Week 6] 03/09: 3.1 Introduction to determinants; 3.2 Properties of determinants.

!!!!!!!!!!!!!!!!!!!!SPRING BREAK!!!!!!!!!!!!!!!!!!!!

[Week 7] 03/23: 3.2 (continued); 3.3 Cramer's rule, volume and
linear maps.

[Week 8] 03/30: 4.1 Vector spaces and subspaces; 4.2 Null
space (kernel), column space (image) and linear maps.

[Week 9] 04/06: 4.3 Linearly independent sets and bases; 4.4
Coordinate systems; 4.5 The dimension of a vector space.

[Week 10] 04/13: 4.6 The rank+nullity theorem; 4.7 Change of bases (if
time permits).

* Common Midterm II: [7-9PM* Tuesday 12 April 2022]*

[Week 11] 04/20: 5.1 Eigenvectors, eigenvalues and eigenspaces; 5.2 The
characteristic equation.

[Week 12] 04/27: 5.3 Diagonalization; 5.5 Complex eigenvalues.

[Week 13] 05/04: 6.1 Inner product, length and orthogonality;
6.2 Orthogonal sets; 6.3 Orthogonal projection; 6.4 The
Gram-Schmidt process; 6.5 Least squares solutions (if time permits).

* Final Exam: Tuesday 10 May 2022 in Totman Gym 10:30AM–12:30PM*

**This is the preferred time period for most students to take
the exam. Additional time periods (see below) are available for students with
special accomodations or other documented conflicts*.

** Learning Sections **

Here are the class times and instructors:

MATH 235-01 MWF 1:25-2:15 (and also...)

Arie Stern Gonzalez, stern@math.umass.edu

MATH 235-02 TT 1-2:15 (and also...)

Eric Sarfo Amponsah, sarfoamponsah@math.umass.edu

MATH 235-03 MW 2:30-3:45 (and also...)

Mithun Thudiyangal, mthudiyangal@math.umass.edu

MATH 235-04 TT 10-11:15 (and also...)

Mithun Thudiyangal, mthudiyangal@math.umass.edu

MATH 235-05 MWF 12:20-1:10 (and also...)

Arie Stern Gonzalez, stern@math.umass.edu

MATH 235-06 MW 4-5:15 (and also...)

Tina Kanstrup, tkanstrup@math.umass.edu

MATH 235-07 TT 1-2:15 (and also...)

Rob Kusner, profkusner@gmail.com

MATH 235-08 MWF 9:05-9:55 (and also...)

Cristian Rodriguez, rodriguez@math.umass.edu

**Textbook and On-line Homework**

The course text is *Linear Algebra and its Applications* (5th
edition) by David Lay, Steven Lay & Judi McDonald. Here's a link to readable .pdf
of the
the first two chapters.

MyMathLab is required for this course. An electronic copy of the
textbook is included in your purchase of MyMathLab.

Go to
www.mymathlab.com and use the
Course ID for your learning section (each instructor has posted a .pdf
step-by-step guide from the publisher).

On-line homework and quizzes will be assigned through MyMathLab by your instructor. Here are suggestions from Pearson for getting started with MyMathLab.

There will be two midterm exams and a final exam (please **see above for
their scheduled dates** and times).

Past exams are available here.

Our exams are expected to be in-person, but if COVID requires us to go-remote, we'll likely use GradeScope again, and all instructors will be "on-call" via
*Piazza* (and email) to help clarify any confusion about the exam.
* Under our honor system* it is, of course, each student's
reponsibility to work on one's own!

Before each exam you are *strongly encouraged* to prepare a **single**
8.5" x 11" **notesheet** (both sides, in your own
handwriting) **which you can bring to the exam** (you may be asked to
turn the sheet in with your exam, so *please write your name* on it)!

Calculators and the textbook are ** not** allowed on the exams.
Remember to

If you have a **documented conflict for one of the exams,** in order to
take the make-up exam you must **give your instructor
at least one week's written notice for a midterm exam** and at least **two
weeks' written notice for the final exam.** Your instructor and the
course chair will evaluate your request and your instructor will
arrange for the make-up. Other make-up exams (for example due to
medical emergencies) will be handled directly by your section
instructor. Make-up exams will ** not** be given to accommodate
travel plans.

**Midterm I**

The first midterm is scheduled for **7-9PM on Thursday 03/03/22** at the
following locations:

• Mahar 108 *for students in* 235-01 [ArS], 235-03 [MiT],
235-04 [MiT], 235-05 [ArS], 235-08 [CrR] *only!*

• Marcus 131 *for students in* 235-02 [ESA], 235-06 [TiK],
235-07 [Rob] *only!*

Also, an ** extra-time session ** (for those with DS contracts or
documented conflicts pre-cleared with your instructor) is scheduled to
take place:

• 5:15-9:15PM on Thursday 03/03/22 in Goessmann 151 or 152
(proctored by ESA or Kader or Rob).

The topics for the first midterm may include the following sections of the textbook: 1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 1.9, 2.1, 2.2 (and possibly some of 2.3).

Please work through the problems at the end of Chapters 1 & 2 before the exam.

Here are some Midterm I review suggestions (courtesy of an inspiring former instructor, Pat Dragon).

**Midterm II**

The second midterm is scheduled for **7-9PM on Tuesday
04/12/22** at the following locations:

• ISB 135 *for students in* 235-02 [ESA], 235-06 [TiK],
235-07 [Rob] *only!*

• Mahar 108 *for students in* 235-01 [ArS], 235-03 [MiT],
235-04 [MiT], 235-05 [ArS], 235-08 [CrR] *only!*

Again, an ** extra-time session ** (for those with DS contracts or
documented conflicts pre-cleared with your instructor) is scheduled to
take place:

• 5:15-9:15PM on Tuesday 04/12/22 in Goessmann 151 or 152 (proctored by Eric or Kader).

The topics for the second midterm may include the following sections of the textbook: 2.3, 3.1, 3.2, 3.3, 4.1, 4.2, 4.3, 4.4, 4.5 (and possibly some of 4.6 & 4.7). [Mathematics builds on a foundation of earlier material, so you should focus on these sections, but of course it's good to have understood earlier material as well. The section(s) in parentheses will not be on this exam, but you're welcome to study them!]

Please work through the problems at the end of Chapters 3 & 4 before the exam.

Here are some Midterm II review suggestions (once again, courtesy of Pat Dragon).

Also, our SI, Caroline Ye, will host a *Midterm II Review*
session **3-5pm Sunday 4/10/2022** in the Integrative Learning
Center: ILC S240.

**Final Exam**

The final exam is scheduled for 10:30AM–12:30PM on Tuesday 05/10/22 in Totman Gym.

They require at least a week's advanced notice, so you should contact them BEFORE Friday 04/29/22

The topics for the final exam may include the following sections of the textbook: 4.5, 4.6, 4.7, 5.1, 5.2, 5.3, 6.1, 6.2 (and possibly, some of 6.3, 6.4 & 6.5). [Mathematics builds on a foundation of earlier material, so you should focus on these sections, but of course it's good to have understood earlier material as well.]

Please work through the problems at the end of Chapters 5 & 6 before the exam.

Here is a Final review (revue?! – of course, courtesy of Pat Dragon).

Please remember: you are allowed * ONE* 8.5" x 11" sheet of notes (both sides, in your own handwriting) for the final exam;
calculators and the textbook are

The four course assessments are weighted as follows: 20% each for Midterms I, II, and the Final exam; the remaing 40% for homework, quizzes and class participation (as determined by your section instructor).

Some students may again have the option to take the course Pass/Fail – please check SPIRE for the details. In case students elect to take the course for a letter grade, that will correlate to overall course performance percentages roughly as follows:A : 90-100

A-: 86-89

B+: 82-85

B : 76-81

B-: 72-75

C+: 68-71

C : 62-67

C-: 58-61

D+: 54-57

D : 48-53

F : Below 48

UMass Amherst is committed to providing an equal educational
opportunity for all students. A student with a documented physical,
psychological, or learning disability on file with Disability Services
may be eligible for academic accommodations to help them succeed in
this course. If you have a documented disability that requires an
accommodation, **please notify your instructor during the first two
weeks of the semester** so that we can make appropriate
arrangements. Information on services and materials for registering
with Disability Services are also available on the
Disability Services website.

Since the integrity of the academic enterprise of any institution of higher education requires honesty in scholarship and research, academic honesty is required of all students at the University of Massachusetts Amherst. Academic dishonesty is prohibited in all programs of the University. Academic dishonesty includes but is not limited to: cheating, fabrication, plagiarism, and facilitating dishonesty. Appropriate sanctions may be imposed on any student who has committed an act of academic dishonesty. Instructors should take reasonable steps to address academic misconduct. Any person who has reason to believe that a student has committed academic dishonesty should bring such information to the attention of the appropriate course instructor as soon as possible. Instances of academic dishonesty not related to a specific course should be brought to the attention of the appropriate department Head or Chair. Since students are expected to be familiar with this policy and the commonly accepted standards of academic integrity, ignorance of such standards is not normally sufficient evidence of lack of intent (http://www.umass.edu/dean_students/codeofconduct/acadhonesty/).