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.
An introduction to using computer applications to solve engineering problems. Learning the rudiments of MATLAB, Excel, and Python in order to design and/or visualize systems. Emphasis is on learning to use these applications appropriately and efficiently, with well structured code that is commented and includes checks to find errors.
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.
The theory of digital circuits and computer systems stressing general techniques for the analysis and synthesis of combinational and sequential logic systems. Limited to ENGIN EE and CSE majors.