Office Hours: Monday and Wednesday 11:30-12:30, Wednesday 2:00-2:50, or by appointment.
| Class Time | 10:00 MWF | 1:00 MWF |
| Class Room | LVL-17 | DMC-100 |
| TA | Dylan Park | Wenhao Zhang |
| dylanpar@usc.edu | wzhang49@usc.edu | |
| Discussion | Tu, Th
8:00 AM KAP-145 9:00 AM KAP-158 |
Tu, Th
5:00 or 6:00 PM KAP-167 |
| Consulting Hours (KAP 263) | TBA | TBA |
Textbook: Goode & Annin, Differential Equations and Linear Algebra (4th ed.)
Grades: Students will be graded on classwork, homework assignments, projects, quizzes, and a final exam.
Homework/Classwork (11%): There will be two homework assignments due most weeks; one on Tuesday (HWa) and one on Thursday (HWb). There will be 4 classwork assignment over the course of the semester. Each student’s lowest HW-a and HW-b will be dropped. No classwork will be dropped
Quizzes (18%): There will be a quiz given in discussion section on most Thursdays. Generally each quiz will focus on material from the two homework assignments due the week of the quiz. However some quizzes will include material from a homework that has not be on a previous quiz because of holidays. No notes, calculators or collaboration during the quizzes is permitted. Each student’s lowest quiz score will be dropped.
Projects (5%): There will be several projects due during the semester.
Exams (34%): There will be in-class exams on Friday, October 4 and November 8. Each student may bring one page of notes (8.5”x11” handwritten on both sides). The use of calculators (or other electronic devices) and collaboration during exams is prohibited.
Final Exam (32%): The Final Exam will be given at the time listed on the USC Schedule of Classes. A strictly enforced USC policy prevents any student from taking the final exam except at the scheduled time. Each student may bring one page of notes (8.5”x11” handwritten on both sides). The use of calculators (or other electronic devices) and collaboration during the final exam is prohibited.
Behavior: Students must strive to create a friendly academic atmosphere in the classroom. Disruptive behavior will not be tolerated. Since making mistakes is a normal part of the mathematical learning process, students are not permitted to make disparaging or hostile comments at any time. The use of cell phones during class or discussion is disruptive behavior and will not be tolerated.
Health Policy: All students must abide by the current USC in-class health policy. In particular, medical-grade masks must be properly worn in class at all times. Failure to do so may result in removal from the class and referral to Student Judicial Affairs and Community Standards.
Goals: By the end of the course, students should be able to:
- Define and explain fundamental concepts in linear algebra, such as vectors, matrices, scalars, and vector spaces.
- Perform basic operations on vectors and matrices, including addition, subtraction, scalar multiplication, and matrix multiplication.
- Solve systems of linear equations using various methods, including Gaussian elimination and matrix inversion.
- Calculate the determinant of a matrix and understand how row operations affect the determinant.
- Determine the invertibility of a matrix and calculate matrix inverses using Gauss-Jordan technique.
- Comprehend the notion of vector spaces and be able to determine whether a set of vectors forms a vector space.
- Analyze the properties of vector spaces, including basis, dimension, linear independence, and span.
- Comprehend the definition of a linear transformation, and identify whether or not a given function is a linear transformation.
- Compute change-of-basis matrices and the matrix of a linear transformation.
- Decide whether or not a given linear transformation is injective or surjective, and compute its kernel and range.
- Use the Rank-Nullity Theorem to find information about a linear transformation between vector spaces.
- Apply techniques for finding eigenvalues and eigenvectors of square matrices and understand their significance in various applications.
- Use diagonalization to simplify and analyze complex systems and transformations.
- Critically analyze mathematical proofs related to linear algebra concepts and theorems.
- Define and explain fundamental concepts in differential equations and the classification of equations.
- Solve some simple first-order equations using standard techniques.
- Use initial values to identify a particular solution from the general solution.
- Use the characteristic polynomial to solve homogeneous n-th order linear equations with constant coefficients.
- Solve non-homogeneous n-th order linear equations and identify the particular and complementary parts of the general solution.
- Understand that the solutions form a vector space and discuss the dimension of the solution space.
- Discuss systems of first-order linear differential equations and their notation.
- Convert an n-th order linear differential equation with constant coefficients into a system of first-order linear equations.
- Use eigenvalues and eigenvectors to find the general solution to a system of first-order linear equations.
Study Strategy: Each lecture consists of three
parts: pre-class material, class material, and post-class material.
- Before class complete the pre-class material: view any videos, read any handouts and work any problems. Then browse the appropriate section of the text, looking for the key ideas.
- During class you should have a copy of the handout ready. Handouts are designed to be filled out, either by annoting the PDF or printing it out on paper.
- After class read and complete any handout. Then re-read the section of the text making sure you understand the details of the examples. Finally work the assigned exercises.
Class materials, announcements and grades will be posted to Blackboard.
Blackboard help for students.
Homework, Quizzes and Exams must be submitted through Gradescope. You must sign up for a free account using your USC email address.
Recording Notice. All lectures, discussions, and office hours may be recorded at the discretion of the instructor. These recording will be made available to the class through Blackboard.
Sharing of course materials outside of the learning environment. Distribution or use of notes or recordings based on university classes or lectures without the express permission of the instructor for purposes other than individual or\ group study is a violation of the USC Student Conduct Code. This includes, but is not limited to, providing materials for distribution by services publishing class notes. This restriction on unauthorized use also applies to all information, which had been distributed to students or in any way had been displayed for use in relationship to the class, whether obtained in class, via email, on the Internet or via any other media.
Zoom Etiquette.
Before each Zoom class or discussion log into your USC Blackboard
account. If you are not logged in, your entry into the meeting
may be delayed. If you are in the Zoom Waiting Room, please open
Chat. The meeting moderator may not check email during a meeting,
so chat is the best way to communicate if there is an issue with
joining the meeting.
During class you should be muted at all times unless you have been
called on. If you have a question, use the raise hand function (under
the Participants tab) and wait to be called on before speaking. When your microphone is not
muted, be mindful of background noise; avoid activities that could
create additional noise, such as shuffling papers.
You are encouraged to participate in class. You can use
that Chat feature to ask questions or make comments. Please consider
whether your question or comment is appropriate for the entire class or
should be sent privately to the moderator. You may be asked to respond
in various ways: there are buttons for thumbs up/down, yes/no, go faster/slower.
Offensive chat will not be tolerated.
During most classes/discussion, you may turn your video on or off as
desired. If your video is on, please be sure your attired and any
background you may use is appropriate for an academic setting. All
students must turn on video during exams.
Breakout Rooms. We
will work in small groups on Zoom in breakout rooms. The
etiquette for breakout rooms is slightly different. You should be
unmuted in a breakout room, so you can participate in the conversation.
Students are encouraged, but not required, to tun on video in
breakout rooms. In a breakout room, you should only chat with
other students in that room or the moderator.
Zoom Profile. You can
choose your screen name and upload a profile picture in your Zoom
Profile. Appropriate screen names include your full name, first
name or nickname and last initial, first name or nickname. Avoid using
your full email address. For example, Thomas Trojan, Tommy
Trojan, Tommy T, Tommy.
profile picture. The preferred choice for profile pictures are an image
of yourself or an avatar of yourself. Offensive screen names or
profile pictures will not be tolerated.
Statement on Academic Conduct and Support Systems
Academic Integrity
The University of Southern California is foremost a learning community committed to fostering successful scholars and researchers dedicated to the pursuit of knowledge and the transmission of ideas. Academic
misconduct is in contrast to the university’s mission to educate students through
a broad array of first-rank academic, professional, and extracurricular
programs and includes any act of dishonesty in the submission of academic work
(either in draft or final form).
This course will follow the expectations for academic integrity as stated in the USC Student Handbook. All students are expected to submit assignments that are original work and prepared
specifically for the course/section in this academic term. You may not submit work
written by others or “recycle” work prepared for other courses without
obtaining written permission from the instructor(s). Students suspected of
engaging in academic misconduct will be reported to the Office of Academic Integrity.
Other violations of academic misconduct include, but are not limited to, cheating, plagiarism, fabrication (e.g., falsifying data), knowingly assisting others in acts of academic dishonesty, and any act
that gains or is intended to gain an unfair academic advantage.
The impact of academic dishonesty is far-reaching and is considered a serious offense against the university and could result in outcomes such as failure on the assignment, failure in the course,
suspension, or even expulsion from the university.
For more information about academic integrity see the student handbook or the Office of Academic Integrity’s website, and university policies on Research and Scholarship Misconduct.
In general, the first incidence of cheating will result in score of 0 on the assignment. While the second will result in a score of 0 on all assignments of the same type
Students and Disability Accommodations:
USC welcomes students with disabilities into all of the University’s educational programs. The Office of Student Accessibility Services (OSAS) is responsible for the determination of appropriate accommodations for students who encounter disability-related barriers. Once a student has completed the OSAS process (registration, initial appointment, and submitted documentation) and accommodations are determined to be reasonable and appropriate, a Letter of Accommodation (LOA) will be available to
generate for each course. The LOA must be given to each course instructor by the student and followed up with a discussion. This should be done as early in the semester as possible as accommodations are not retroactive. More information can be found at osas.usc.edu.
You may contact OSAS at (213) 740-0776 or via email at osasfrontdesk@usc.edu.
Support Systems:
Counseling and
Mental Health – (213)
740-9355 – 24/7 on call
Free and confidential mental health treatment for
students,
including short-term psychotherapy, group counseling, stress fitness
workshops,
and crisis intervention.
988 Suicide and Crisis Lifeline – 988 for both calls and text messages –
24/7 on call
The 988 Suicide
and Crisis
Lifeline (formerly known as the National Suicide Prevention Lifeline)
provides
free and confidential emotional support to people in suicidal crisis or
emotional distress 24 hours a day, 7 days a week, across the United
States. The
Lifeline is comprised of a national network of over 200 local crisis
centers,
combining custom local care and resources with national standards and
best
practices. The new, shorter phone number makes it easier for people to
remember
and access mental health crisis services (though the previous 1 (800)
273-8255
number will continue to function indefinitely) and represents a
continued
commitment to those in crisis.
Relationship and
Sexual Violence Prevention Services (RSVP) –
(213) 740-9355(WELL) – 24/7 on call
Free and confidential therapy services, workshops,
and
training for situations related to gender- and power-based harm
(including
sexual assault, intimate partner violence, and stalking).
Office for Equity, Equal Opportunity, and
Title IX (EEO-TIX) – (213)
740-5086
Information about how to get help or help someone
affected
by harassment or discrimination, rights of protected classes, reporting
options, and additional resources for students, faculty, staff,
visitors, and
applicants.
Reporting Incidents
of Bias or Harassment –
(213) 740-5086 or (213) 821-8298
Avenue to report incidents of bias, hate crimes,
and
microaggressions to the Office for Equity, Equal Opportunity, and Title
for
appropriate investigation, supportive measures, and response.
The Office of Student Accessibility Services
(OSAS) – (213) 740-0776
OSAS ensures equal access for students with
disabilities
through providing academic accommodations and auxiliary aids in
accordance with
federal laws and university policy.
USC Campus Support and Intervention – (213) 740-0411
Assists students and families in resolving complex
personal,
financial, and academic issues adversely affecting their success as a
student.
Diversity, Equity and Inclusion – (213) 740-2101
Information on events, programs and training, the
Provost’s
Diversity and Inclusion Council, Diversity Liaisons for each academic
school,
chronology, participation, and various resources for students.
USC Emergency – UPC:
(213) 740-4321, HSC: (323) 442-1000
– 24/7 on call
Emergency assistance and avenue to report a crime.
Latest
updates regarding safety, including ways in which instruction will be
continued
if an officially declared emergency makes travel to campus infeasible.
USC Department of Public Safety – UPC: (213) 740-6000, HSC: (323) 442-1200
– 24/7 on call
Non-emergency assistance or information.
Office of the Ombuds –
(213) 821-9556 (UPC) / (323-442-0382
(HSC)
A safe and confidential place to share your
USC-related
issues with a University Ombuds who will work with you to explore
options or
paths to manage your concern.
Occupational
Therapy Faculty Practice –
(323) 442-2850 or otfp@med.usc.edu
Confidential Lifestyle Redesign services for
USC
students to support health promoting habits and routines that enhance
quality
of life and academic performance.