Dynamic Systems—Graduate Certificate | College of Engineering

Online Education for Working Professionals

Develop a foundation of analytical mechanics and multiphysics modeling.

Use individual and team exercises to build skills for a dynamic systems approach.

Engineered systems increasingly must exploit complex interactions between multiple domains—mechanical, electrical, chemical and biological. Numerical model prediction is a powerful tool for optimal design, vibration analysis, test plan development, and control system design. Through a combination of theory and practice, this certificate helps engineers model, analyze, and control multiphysics dynamic systems using MATLAB Simulink and Simscape.

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How to Apply

3 courses in 3 semesters.

Department	Mechanical and Aerospace Engineering
Admissions requirement	Acceptance to the Graduate School.
Contact	Wayne Weaver

Length	3 courses in 2-3 semesters
Effort	3 hours per credit per week
Each course	3 credits
Total credits	9
Course type	Online or on-campus
Modality	Watch class recordings on demand
Cost	Based on credits and course type
Already enrolled?	Speak with your advisor

Curriculum

Progress quickly with a compact curriculum. Work with the program advisor to select courses that fit your interests and pre-requisite skills.

Prerequisites

Check your preparation. Here are some of the pre-requisite courses for this certificate.

EE 3261 - Control Systems

Mathematical formulation of control problems (both transfer function and state-variable descriptions); analysis of feedback control systems (stability, transient performance, steady-state error, sensitivity, etc.); analog and digital simulation; and experiments with physical systems.

Credits: 3.0
Lec-Rec-Lab: (2-0-2)
Semesters Offered: Fall, Spring
Pre-Requisite(s): EE 3160

Required Courses

Take 6 credits of required courses. Take MEEM 5730 Dynamic System Simulation if it is offered, or take MEEM 5990 as Special Topics: Dynamic System Simulation.

Electives

Take a 3-credit elective course.

EE 5715 - Linear Systems Theory and Design

Overview of linear algebra, Modern Control: state-space based design of linear systems, observability, controllability, pole placement, observer design, stability theory of linear time-varying systems, Lyapunov stability, optimal control, Linear Quadratic regulator, Kalman filter, Introduction to robust control.

Credits: 3.0
Lec-Rec-Lab: (0-3-0)
Semesters Offered: Fall
Restrictions: Must be enrolled in one of the following Level(s): Graduate; Must be enrolled in one of the following Major(s): Electrical Engineering, Electrical & Computer Engineer
Pre-Requisite(s): EE 3261 or MEEM 3750 or ME 3750

Typical Schedule

The minimum completion time is two semesters. Here is a typical schedule.

Fall	Spring
MEEM 5701 MEEM 4775	MEEM 5730

Application Process and Admissions Requirements

Applications are reviewed on an individual basis using a holistic approach. Fill out our free graduate application online to apply to any of our programs. Official transcripts and scores are not required for the initial application, although you will need to upload them later.

Graduate School Admissions Process

Applying to the Graduate School is free (no application fees) and fast (no official transcripts, test scores, or letters needed to start). The application process involves three easy steps.

See Admissions Steps

Graduate School Requirements

To be considered for admission to the Graduate School as a degree- or certificate-seeking student, you need to:

have a bachelor's degree or its equivalent from an accredited institution, and
be prepared for advanced study in your chosen field, as demonstrated by your previous degree and your scholastic record.

See additional application requirements, including required materials:

Official Transcripts

Program Specific Requirements

Program Specific

Admitted applicants typically have an undergraduate GPA of 3.0 or better on a 4.0 scale
GMAT/GRE: Not required
Preferred major: Mechanical Engineering or closely related technical field - Students with degrees in other fields may be required to take preparatory courses

International Students

TOEFL: Recommended Score of 79 iBT
IELTS: Recommended Overall Band Score of 6.5

Admissions Decisions

Made on a rolling basis.

Certificate Admissions

Prospective Students

Prospective students and non-degree seeking students interested in obtaining a graduate certificate must apply to the certificate program using the online application.
Accelerated certificate options exist for current Michigan Tech undergraduate students in good standing and have achieved at least junior-level standing or recent bachelor’s graduates of Michigan Tech (less than two years).
The number of credits earned prior to admission that can be counted are restricted.

Current Graduate Students

Current Michigan Tech graduate students who are in a degree program do not need to formally apply. Current students must still submit the appropriate degree schedule in order to complete the certificate.

International Student Requirements

International Students must apply and be accepted into a degree-granting program in order to earn a graduate certificate. A non-refundable $10 processing fee per application is required.

See International Applicants

Interested in taking a single, online course? Enroll as a non-degree seeking student.

Upon completion of the Certificate the student should be able to:

Develop differential equation models of multiphysics dynamic systems exploiting methods from analytical mechanics
Create simulations of dynamic systems to achieve specified accuracy requirements using advanced MATLAB, Simulink, and Simscape techniques
Develop and select integration schemes for both real-time (embedded) and batch simulations
Design advanced control systems or conduct vibration analysis studies for complex dynamic systems
Communicate the dynamic system analysis process through written project reports including: statement of assumptions, equation of motion derivation, listing of conserved quantities, numerical model architecture justification, and steps taken to verify numerical results

Michigan Tech was founded in 1885.

The University is accredited by the Higher Learning Commission and widely respected by fast-paced industries, including automotive development, infrastructure, manufacturing, and aerospace. Michigan Tech graduates deliver on rapid innovation and front-line research, leaning into any challenge with confidence.

The College of Engineering fosters excellence in education and research.

We set out as the Michigan Mining School in 1885 to train mining engineers to better operate copper mines. Today, more than 60 percent of Michigan Tech students are enrolled in our 17 undergraduate and 29 graduate engineering programs across nine departments. Our students and curriculum embrace the spirit of hard work and fortitude our founders once had. Our online graduate courses are the same, robust classes taken by our doctorate and masters candidates, taught directly by highly regarded faculty, with outstanding support from staff. We invite working professionals to join these courses, bring their own experience and challenges as part of the discussion. Leverage the national reputation of Michigan Tech to advance your career in tech leadership.

About Michigan Tech

About the College

Engineering Salaries

Online Certified Instructors

Meet the online certified instructors. Students have the flexibility to review class recordings later.

Jason Blough

Chair and Distinguished Professor, Mechanical and Aerospace Engineering

jrblough@mtu.edu

Teaching Statement

Dr. Blough teaches classroom and industry short course topics on dynamic measurement, signal analysis, and other experimental noise, vibration, and harshness techniques.

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Steven Ma

Professor of Practice, Mechanical and Aerospace Engineering

stevenma@mtu.edu

Teaching Statement

Dr. Ma teaches courses in mechanical system design and analysis, advanced CAD and CAM methods, mechanism synthesis, dynamic modeling, and vehicle dynamics.

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