Properties of complex numbers. Rectangular, exponential, and graphical representations of complex numbers. Euler's identity and translating between representations. Basic and advanced operations with complex numbers, such as adding, subtracting, multiplying, and dividing, as well as exp(z), ln(z), a^z, and z^a. Applying knowledge of complex numbers to linear algebra and differential equations using MATLAB.

This course will teach students basic experimental methodologies in electrical and computer engineering required by graduate students. The course will involve hands-on experimentation and and lectures which train students in these areas. A student completing the course will be prepared to complete advanced graduate courses in electrical and computer engineering.

A graduate version of E&C-Eng 570 which includes additional readings from research papers on embedded operating systems concepts,

Fundamental concepts and systems aspects of computer networks. Topics include a review of the layered Internet architecture and encompass router design, lookup and classification algorithms, scheduling algorithms, congestion control, wireless protocols, and network security. The goal of the course is to explore the key technical and research questions in computer networks as well as to convey the necessary analytical, simulation, and measurement techniques.

This course is a one-credit seminar on security research across departments at UMass. Each presentation will cover an active research topic at UMass in a way that assumes only a basic background in security. External speakers may also be invited. Note that this course is not intended to be an introduction to cybersecurity, and will not teach the fundamentals of security in a way that would be useful as a foundation for future security coursework. The intended audience is graduate and advanced undergraduate students, as well as faculty. Meets with CS/MATH 591CF.

Complex numbers. First-order differential equations. Matrices and systems of linear equations. Vector spaces and linear transformations. 2nd-order linear differential equations and the Laplace transform. Systems of differential equations.

Mathematical models for analog circuit elements such as resistors, capacitors, opamps and MOSFETs as switches. Basic circuit laws and network theorems applied to dc, transient, and steady-state response of first- and second-order circuits. Modeling circuit responses using differential equations Computer and laboratory projects. NOTE: Grades of C or better in MATH 132 and PHYSICS 152 are strongly recommended.

Mathematical models for analog circuit elements such as resistors, capacitors, opamps and MOSFETs as switches. Basic circuit laws and network theorems applied to dc, transient, and steady-state response of first- and second-order circuits. Modeling circuit responses using differential equations Computer and laboratory projects. NOTE: Grades of C or better in MATH 132 and PHYSICS 152 are strongly recommended.

Mathematical models for analog circuit elements such as resistors, capacitors, opamps and MOSFETs as switches. Basic circuit laws and network theorems applied to dc, transient, and steady-state response of first- and second-order circuits. Modeling circuit responses using differential equations Computer and laboratory projects. NOTE: Grades of C or better in MATH 132 and PHYSICS 152 are strongly recommended.

Mathematical models for analog circuit elements such as resistors, capacitors, opamps and MOSFETs as switches. Basic circuit laws and network theorems applied to dc, transient, and steady-state response of first- and second-order circuits. Modeling circuit responses using differential equations Computer and laboratory projects. NOTE: Grades of C or better in MATH 132 and PHYSICS 152 are strongly recommended.