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# Basic Course

## Mathematics (MTH 110)

Here are some of the topics that will be covered in this course:

• Calculus, Vector, and Linear Algebra: Applications involving matrix algebra, determinants, eigenvalues

• first and second-order linear ordinary differential equations, Laplace transforms

• Vector algebra

• vector functions and operations

• orthogonal curvilinear coordinates

• applications of partial derivatives, Lagrange multipliers, multiple integrals, line and surface integrals

• integral theorems (Gauss, Green, Stokes)

• Power series

MTH 110

## Probability and Statistics (MTH 120)

Here are some of the topics that will be covered in this course:

• Concepts of probability

• events and populations

• probability theorems

• concept of a random variable

• continuous and discrete random variables

• probability distributions

• distributions of functions of a random variable

• sampling and statistical estimation theory

• hypothesis testing, simple regression analysis

MTH 120

Here are some of the topics that will be covered in this course:

• Series Solutions of Differential Equations: Series solutions of ordinary differential equations, boundary value problems and orthogonal functions, Fourier series

• Numerical Methods: Use of computers for the numerical solution of engineering problems, including techniques involving library subroutines and spreadsheets

• Approximations and errors, interpolation, systems of linear and non-linear algebraic equations, curve fitting, numerical integration and differentiation, and ordinary differential equations

MTH 210

## Electric Circuits and Power (ELE 110)

Here are some of the topics that will be covered in this course:

• Basic laws, current, voltage, power

• DC circuits, network theorems, network analysis

• Simple transients, AC circuits

• Impedance concept, resonance

• Use and application of phasors and complex algebra in steady-state response

• Simple magnetic circuits

• Basic concepts and performance characteristics of transformers

• An introduction to diodes and transistors

• Rectification and filtering

• Simple logic circuits

ELE 110

## Digital Logic Circuits (ELE 120)

Here are some of the topics that will be covered in this course:

• Boolean algebra, encoders, decoders, shift registers, and asynchronous and synchronous counters together with timing considerations

• Design of asynchronous circuits, synchronous sequential circuits, and finite state machines

• Karnaugh mapping techniques, and state tables and diagrams

• Introduction to programmable logic

ELE 120
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