CSE 361: Mathematical Foundations for Autonomous Systems

4 Credits · Fall 2025/26

Umer Huzaifa, PhD

Basic Information Catalog Description Evaluation & Grading Course Policies Academic Policies Schedule

Basic Information

Time and Location

Instructor

Recommended Learning Sources

The 3rd and 4th resources will be available for consulting in class.

Online Resources


Catalog Description

A comprehensive overview of modeling and analysis of dynamic systems including mechanical, electrical, electro-mechanical, thermal, and fluid systems. Topics include modeling using state-variable equations, input-output differential equations, transfer functions, and block diagrams, analytical solutions using the Laplace transform, and applications to modeling and designing feedback control systems. After you have taken this class, you will:

Learning Outcomes

Prerequisites: CSE 333 (Cyber-physical Systems Engineering III) and MAT 304 (Differential Equations)


Evaluation and Grading

Attendance

Mandatory. In case of an event that prohibits you from joining class, you must inform the instructor in advance.

Exams

The only exam scheduled is as follows:

Mid Exam (Week 8) — during class time, Location: CDM 309

Homework

Weekly homework will be posted on D2L. No late submissions will be accepted. It is recommended to start the homework early and communicate with the instructor as soon as you face difficulties.

Weighted Breakdown of Grade

Course elements contribute to the overall course grade as follows:

Weekly Homework 25%
Weekly Quizzes 10%
Lab Experiments 25%
One Mid Exam 20%
Final Project 20%

Course Evaluation Tool – D2L

D2L will be used for providing all the necessary course content, communicating the course information, and grading. You are automatically enrolled in this tool as you register for the course. If you are not enrolled in any of the above online tools by the first lecture, please contact the instructor as soon as possible.


Course Policies

Changes to Syllabus

This syllabus is subject to change as necessary during the quarter. If a change occurs, it will be thoroughly addressed during class, posted under Announcements in D2L and sent via email.

Respect for Diversity and Inclusion at DePaul University as aligned with our Vincentian Values

At DePaul, our mission calls us to explore “what must be done” in order to respect the inherent dignity and identity of each human person. We value diversity because it is part of our history, our traditions and our future. We see diversity as an asset and a strength that adds to the richness of classroom learning. In my course, I strive to include diverse authors, perspectives and teaching pedagogies. I also encourage open dialogue and spaces for students to express their unique identities and perspectives. I am open to having difficult conversations and I will strive to create an inclusive classroom that values all perspectives. If at any time, the classroom experience does not live up to this expectation, please feel free to contact me via email or during office hours.

Online Course Evaluations

Evaluations are a way for students to provide valuable feedback regarding their instructor and the course. Detailed feedback will enable the instructor to continuously tailor teaching methods and course content to meet the learning goals of the course and the academic needs of the students. They are a requirement of the course and are key to continue to provide you with the highest quality of teaching. The evaluations are anonymous; the instructor and administration do not track who entered what responses. A program is used to check if the student completed the evaluations, but the evaluation is completely separate from the student’s identity. Since 100% participation is our goal, students are sent periodic reminders over three weeks. Students do not receive reminders once they complete the evaluation. Please see this page for additional information.

Honor Code

This course adheres to DePaul University's policy on Academic Integrity. For complete information, please see academicintegrity.depaul.edu.

Cheating is any action that violates university norms or instructor guidelines for the preparation and submission of assignments. This includes, but is not limited to:

Plagiarism involves the presentation of the work of another as one's own, and includes, but is not limited to:

Avoid any form of, or the appearance of, academic misconduct, which will result in a minimum penalty of zero credit for the work in question, and may result in a maximum penalty of a failing course grade.

Course Content and Copyright

All course content is copyright protected by the instructor or relevant individuals and organizations. No part of the course content may be uploaded or shared to any entity. One specific example of this violation would be uploading any solutions to Chegg or CourseHero. If this violation is discovered, strict action will be taken against the perpetrator.

Academic Policies

All students are required to manage their class schedules each term in accordance with the deadlines for enrolling and withdrawing as indicated in the University Academic Calendar. Information on enrollment, withdrawal, grading and incompletes can be found at: DePaul Policies and Procedures.

Incomplete Grades

An incomplete grade is a special, temporary grade that may be assigned by an instructor when unforeseeable circumstances prevent a student from completing course requirements by the end of the term and when otherwise the student had a record of satisfactory progress in the course. All incomplete requests must be approved by the instructor of the course. Only exceptional cases will receive such approval. Information about the Incomplete Grades policy can be found here.

Preferred Name & Gender Pronouns

Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with differences of race, culture, religion, politics, sexual orientation, gender, gender variance, and nationalities. I will gladly honor your request to address you by an alternate name or gender pronoun. Please advise me of this preference early in the quarter so that I may make appropriate changes to my records. Please also note that students may choose to identify within the University community with a preferred first name that differs from their legal name and may also update their gender. The preferred first name will appear in University related systems and documents except where the use of the legal name is necessitated or required by University business or legal need. For more information and instructions on how to do so, please see the Student Preferred Name and Gender Policy.

Students with Disabilities

Students seeking disability-related accommodations are required to register with DePaul’s Center for Students with Disabilities (CSD) enabling them to access accommodations and support services to assist with their success. There are two office locations:

Students who register with the Center for Students with Disabilities are also invited to contact the Center privately to discuss how they may assist in facilitating the accommodations to be used in a course. This is best done early in the term. The conversation will remain confidential to the extent possible. Please see Services and Contact Information.

Schedule

The topics schedule is tentative and subject to change during the quarter. As the quarter progresses, you will find the relevant documents (lecture slides, handouts, etc.) linked on D2L.

Week Date Topics Labs / Coding Exercises Homework / Quizzes
1 Sept 15, 2026 System, Input-output Format and Block Representation Lab 1 – Intro to MATLAB HW 1 – Electrical System Modeling
Quiz 1 – Intro to Systems (D2L)
2 Sept 22, 2026 Modeling Mechanical Systems, Differential Equation Models Lab 2 – Solving ODEs Analytically in MATLAB HW 2 – Mechanical System Modeling
Quiz 2 – Mechanical System (D2L)
3 Sept 29, 2026 Laplace Transform, Systems of Different Orders Lab 3 – Interfacing MATLAB with Arduino, Frequency Domain Commands
Recommended to bring your personal laptop
HW 3 – Frequency Domain
Quiz 3 – Freq. Domain (D2L)
4 Oct 6, 2026 Stability, First and Second Order System Responses Lab 4 – Reading Motor with Simulink
Recommended to bring your personal laptop
HW 4 – On Stability
Quiz 4 – Stability (D2L)
5 Oct 13, 2026 Trajectory Tracking by Systems Lab 5 – System Identification HW 5 – Tracking Errors
Quiz 5 – Tracking Error (D2L)
6 Oct 20, 2026 State Space Representation HW 6 – State Space Representation
Quiz 6 – State Space (D2L)
7 Oct 27, 2026 Solving for System Response, and System Stability Lab 6 – State Space Solving Systems HW 7 – State Space Stability and Plotting
Quiz 7 – State Space Stability (D2L)
8 Nov 3, 2026 Mid Exam
9 Nov 10, 2026 State Feedback Controller Project Part A (Lab 9) – Closed Loop Position Controller
10 Nov 17, 2026 Final Project Work Project Part B (Lab 10) – Closed Loop Speed Controller
Nov 24, 2026: Final Project Submission

Regular week   Exam / submission week