This Complex Systems elective introduces Human Systems Integration Analysis and Synthesis. Human Systems Integration is a systems engineering process that ensures all human-related technical issues are properly addressed during system definition, design, development, and implementation.

This Complex Systems elective introduces Vehicle Preliminary Design. The course involves design iteration with disciplinary physics-based methods and tools. It also includes geometry and databases from conceptual design, six DOF modeling, analysis, and synthesized baseline.

Each Cohort will select one of the Complex Systems Domain Electives below

Systems engineering processes provide a model for successfully managing complex systems. Learn to apply management and development techniques used for successful commercial and government programs.

Defines, classifies, and examines technology used in stand-alone sensor systems. Centers on system-engineering trades useful in designing systems of sensors and systems of systems. Open only to enrolled students in the PMASE program.

Systems engineering processes provide a model for successfully managing complex systems. Learn to apply management and development techniques used for successful commercial and government programs.

Student teams apply methods and techniques taught throughout the program to conduct complex system Conceptual Design based on requirements provided in a Request for Proposal.

Application of working knowledge of systems engineering techniques applied to a "case study" in an applicable domain.

Explore a wide range of modern systems engineering principles and development methodologies. Address requirements engineering, systems definition, design and analysis, implementation, operation, and technical management. Only open to enrolled students in the PMASE program.

Individuals with disabilities often encounter barriers in accessing electronic information and using digital technologies. In this course, you will learn about the fundamentals of accessibility design in the Information and Communication Technology (ICT) field. You will focus on…

This course explores the mathematical theory of two-player games without chance moves. You will cover simplifying games, determining when games are equivalent to numbers, and impartial games. Many of the examples of simple games may be new to you, such as Hackenbush, Nim, Push, Toads and…

Design is an essential part of providing a great user experience (UX), offering the user what they need in the most efficient and satisfying manner. This introductory course introduces the novice designer to a systematic and data-driven process cycle of discovery and evaluation, as well as a…

Analytical models are key to understanding data, generating predictions, and making business decisions. Without models, it is nearly impossible to gain insights from data. In modeling, it’s essential to understand how to choose the right data sets, algorithms, techniques, and formats to solve…

This course is your hands-on introduction to programming techniques relevant to data analysis and machine learning. Most of the programming exercises will be based on Python and SQL.

The field of health informatics emphasis the management and use of patient healthcare information. In this course, you’ll gain a brief overview of its history and capabilities, as well as an understanding of its slow adoption within organizations. You’ll be introduced to the Fast Healthcare…

As the exchange of health records and other clinical systems used in patient care become increasingly digital, the focus turns to how this health information can be communicated and shared throughout a patient’s health journey. While often a challenge, adopting health data standards in a…

Adopting digital health records and sharing its data is a critical step forward. In order to foster better collaboration across patient healthcare providers, cutting edge tools and systems must be used to improve the quality of patient care. This course will look at academic and industry…

Learn the principles of Human-Computer Interaction (HCI) to create intuitive, usable interfaces, with established design principles like feedback cycles, direct manipulation, affordances, signifiers, and more. In this course, you’ll take the first steps toward being a solid HCI practitioner…

Get into the user’s mind to understand the techniques for designing and evaluating user-centered systems that integrate with and influence the world around us. In order to expand the scope through which you view human-computer interaction, you’ll start by going further inside the user’s mind…

Build on your foundational knowledge of Human-Computer Interaction’s (HCI) core principles by learning to design interfaces in the real world. From the investigating user needs to brainstorming potential designs, creating prototypes, and evaluating those prototypes, you’ll learn the four-stage…

Complete your understanding of the design life cycle by learning to take interface ideas, prototype them quickly, and evaluate them with real users. In this final course in the professional certificate, you’ll complete your understanding of the design life cycle and learn about the modern…

Designing sound representations of information can be a complex, but a necessary part of engaging students and making material accessible to a larger group of learners. While advances in these tools (e.g. interactive simulations) have made interactive learning freely available to millions of…

This course starts from the beginning, covering the basics of how a computer interprets lines of code; how to write programs, evaluate their output, and revise the code itself; how to work with variables and their changing values; and how to use mathematical, Boolean, and relational operators…

Building on your prior knowledge of variables and operators, this course gets into the meat of programming. Organized into five chapters, this course starts by covering the fundamentals of what control structures are and what they do, then moves on to four common control structures in Python…

Build on your existing knowledge of conditionals, loops, and functions by studying more about complex Python data structures, including strings, lists, dictionaries, and file input and output. Organized into five chapters, this course starts by covering the basics of data structures, then…

Complete your introductory knowledge of computer science with this final course on objects and algorithms. Now that you've learned about complex control structures and data structures, learn to develop programs that more intuitively leverage your natural understanding of problems through…

This course provides an introduction to the Java programming language. It gives you a foundational overview and history of Java, and you’ll learn about the language’s basic syntax. At the end, you will be able to develop interactive console programs with basic data processing and formatting…

This course provides you with the knowledge to handle and even create exceptions to achieve graceful error handling in programs. You will also create and utilize data structures, including lists and files, while learning about recursion and how it can be a useful approach to repetition in a…

Build on the skills learned from “Introduction to Java Programming I: Foundations and Syntax Basics” and learn the basics of writing classes that serve as blueprints of concepts or objects that are represented in a programming problem. You will leverage the concepts of inheritance, interfaces,…

The Data Structures & Algorithms course begins with a review of some important Java techniques and nuances in programming. The course requires some prior knowledge of Java and object-oriented programming, but not in data structures or algorithms. You’ll be introduced to time complexity and…

This Data Structures & Algorithms course extends beyond linear data structures to the nonlinear and hierarchical data structures. The course begins by explaining Binary Trees and two subgroups: Binary Search Trees (BSTs) and Binary Heaps. You will program BSTs, their operations, and traversal…

This Data Structures & Algorithms course completes the data structures portion presented in the sequence of courses with self-balancing AVL and (2-4) trees. It also begins the algorithm portion in the sequence of courses as you will investigate and explore the two more complex data structures:…

This Data Structures & Algorithms course completes the four-course sequence of the program with graph algorithms, dynamic programming, and pattern matching solutions. A short Java review is presented on topics relevant to new data structures covered in this course and time complexity is…

Engineers are the ultimate problem solvers. This course introduces the principles required to solve engineering mechanics problems. It addresses the modeling and analysis of static equilibrium problems with an emphasis on real-world engineering applications and problem solving. To master…

Kinetics is the study of forces acting on these bodies and how it affects their motion. This course is an advanced study of bodies in motion as applied to engineering systems and structures. You will study the dynamics of rigid bodies in 3D motion, consisting of both the kinematics and…

The Applications in Engineering Mechanics course builds upon the principles you mastered in Introduction to Engineering Mechanics. Move beyond the fundamentals to learn modeling and analysis of static equilibrium problems. You will discover real-world engineering systems and problem-solving…

This course is an introduction to the study of bodies in motion, as applied to engineering systems and structures. You will study the dynamics of particle motion and bodies in rigid planar (2D) motion, which consists of both the kinematics and kinetics of motion. Kinematics deals with the…

This course expands on subjects covered in the Introduction to Engineering Mechanics and in Applications in Engineering Mechanics courses. Here, you will focus on axial loading and gain an understanding of what causes stress and strain on solid objects, which will help you problem solve and…

This course explores the analysis and design of thin-walled pressure vessels and engineering structures subjected to torsion. The course will look at real-world applications for thin-walled pressure vessels, such as gas storage tanks, simple spray cans, and techniques that could even be used…

Explore the analysis and design of beam bending problems in this third course in the Mechanics of Materials series.

This is the final course in the Mechanics of Materials series. Exploring the analysis and design of engineering structures, you will learn to consider factors of deflection, buckling, combined loading, and failure theories.

It is well recognized that the discovery of new materials is the key to solving many technological problems faced by industry and society. These problems include energy production and utilization, carbon capture, tissue engineering, and sustainable materials production, among many others. This…

This course provides a succinct overview of the emerging discipline of materials informatics at the intersection of materials science, computational science, and information science. You will discover specific opportunities afforded by this new field in accelerating materials development and…

The Introduction to Electronics course introduces you to the basic concepts of electronics, including diodes, transistors, and op amps. Basic operation and some common applications will also be discussed.

Have you ever wondered why ceramics are hard and brittle while metals tend to be soft and pliable? Or how about why some materials conduct heat or electricity while others are insulators? In this course, you will learn how a material’s properties are determined by the microstructure of the…

Machine Design Part I is the first course in an in-depth, three-course series focusing on machine design. The series covers fundamental mechanical design topics, such as static and fatigue failure theories, the analysis of shafts, fasteners, and gears, and the design of mechanical systems,…

A direct current (DC) source is one that is constant. In this course, you will learn how to analyze circuits that have DC or voltage sources, including circuits with resistors, capacitors, and inductors. Some practical applications in sensors will be demonstrated as well.

Analytical models are key to understanding data, generating predictions, and making business decisions. Without models, it is nearly impossible to gain insights from data. In modeling, it’s essential to understand how to choose the right data sets, algorithms, techniques, and formats to solve…

This course picks up with an overview of basic thermodynamics and kinetics as they pertain to the processing of crystalline materials. The first module deals with phase diagrams -- charts that tell us how a material will behave given a certain set of variables such as temperature,…

The Mechatronics Revolution is upon us. Never before has it been easier to build robotic devices and computer-controlled machines. The confluence of low-cost embedded computers, sensors, and actuators has made experimentation and prototyping easier than ever. Course modules will explore the…

At the beginning of this course we introduce the determinant, which yields two important concepts that you will use in this course. First, you will be able to apply an invertibility criterion for a square matrix that plays a pivotal role in, for example, the understanding of eigenvalues. You…

Systems of equations live at the heart of linear algebra. In this course you will explore fundamental concepts by exploring definitions and theorems that give a basis for this subject. At the start of this course we introduce systems of linear equations and a systematic method for solving them…

Your ability to apply the concepts that we introduced in our previous course is enhanced when you can perform algebraic operations with matrices. At the start of this class, you will see how we can apply the Invertible Matrix Theorem to describe how a square matrix might be used to solve…

In the first part of this course you will explore methods to compute an approximate solution to an inconsistent system of equations that have no solutions. Our overall approach is to center our algorithms on the concept of distance. To this end, you will first tackle the ideas of distance and…

This course provides an introduction to basic probability concepts. Our emphasis is on applications in science and engineering, with the goal of enhancing modeling and analysis skills for a variety of real-world problems. In order to make the course completely self-contained (and to bring…

This course provides an introduction to basic statistical concepts. We begin by walking through a library of probability distributions, where we motivate their uses and go over their fundamental properties. These distributions include such important folks as the Bernoulli, binomial,…

This course covers two important methodologies in statistics – confidence intervals and hypothesis testing. Confidence intervals are encountered in everyday life, and allow us to make probabilistic statements such as: “Based on the sample of observations we conducted, we are 95% sure that…

This course discusses properties and applications of random variables. When you’re done, you’ll have enough firepower to undertake a wide variety of modeling and analysis problems; and you’ll be well-prepared for the upcoming statistics courses. We’ll begin by introducing the concepts of…

This course is an introduction to exploring the topic of engineering systems undergoing vibration.  The methods taught in the course are used to predict the response of engineering structures to various types of input and to analyze the resulting vibratory motion. The free vibration of Single…

Brush up on your engineering fundamentals! Prepare for the Fundamentals of Engineering (FE) exam by reviewing the seven major knowledge areas that it covers, with emphasis on civil-engineering subjects. The FE exam is now a computer-based test that is offered year-round.

In the 21st century, there are millions of innovators but few authentic innovation leaders able to inspire and guide innovators and their teams to create breakthrough products with their innovative ideas. In this original course, Innovation Leadership, you'll learn how to become an innovation…

At the beginning of this course we introduce the determinant, which yields two important concepts that you will use in this course. First, you will be able to apply an invertibility criterion for a square matrix that plays a pivotal role in, for example, the understanding of eigenvalues. You…

Systems of equations live at the heart of linear algebra. In this course you will explore fundamental concepts by exploring definitions and theorems that give a basis for this subject. At the start of this course we introduce systems of linear equations and a systematic method for solving them…

Your ability to apply the concepts that we introduced in our previous course is enhanced when you can perform algebraic operations with matrices. At the start of this class, you will see how we can apply the Invertible Matrix Theorem to describe how a square matrix might be used to solve…

In the first part of this course you will explore methods to compute an approximate solution to an inconsistent system of equations that have no solutions. Our overall approach is to center our algorithms on the concept of distance. To this end, you will first tackle the ideas of distance and…

This course provides an introduction to basic probability concepts. Our emphasis is on applications in science and engineering, with the goal of enhancing modeling and analysis skills for a variety of real-world problems. In order to make the course completely self-contained (and to bring…

This course provides an introduction to basic statistical concepts. We begin by walking through a library of probability distributions, where we motivate their uses and go over their fundamental properties. These distributions include such important folks as the Bernoulli, binomial,…

This course covers two important methodologies in statistics – confidence intervals and hypothesis testing. Confidence intervals are encountered in everyday life, and allow us to make probabilistic statements such as: “Based on the sample of observations we conducted, we are 95% sure that…

This course discusses properties and applications of random variables. When you’re done, you’ll have enough firepower to undertake a wide variety of modeling and analysis problems; and you’ll be well-prepared for the upcoming statistics courses. We’ll begin by introducing the concepts of…

Looking to gain a solid understanding of what a supply chain is all about? This course provides a great introduction to the integrated supply chain model. You will have the chance to leverage discussions, videos, and quizzes to expand your foundational knowledge on the subject and find out…

In the first part of this course you will explore methods to compute an approximate solution to an inconsistent system of equations that have no solutions. Our overall approach is to center our algorithms on the concept of distance. To this end, you will first tackle the ideas of distance and…