TU-Moodle

This course introduces the design and implementation of digital circuits. Topics include number representations, codes, Boolean algebra, logic gates, combinational and sequential circuits and design (both synchronous and asynchronous). The real implementations begin with basic gates and progress to Programmable Logic Devices (PLD).

Diode: physical structure, characteristics and modes of operation; diode application circuits; DC power supply amplifiers; BJT and FET physical structure, characteristics and modes of operation; use as an amplifier and a switch; biasing; principle of small-signal analysis; models for 2- and 3-terminal devices; operational amplifier and its applications in linear and nonlinear circuits; oscillator; power amplifiers; introduction to power electronics.

Vector analysis. Electrostatic fields. Conductors and dielectrics. Capacitance. Convection and conduction currents. Magnetic fields due to currents. Force and torque on a current loop in a magnetic field. Inductance. Electromagnetic induction. Displacement current. Maxwell's equations. Characteristics of electromagnetic wave. Electromagnetic waves in isotropic media.  Wave polarization. Wave reflection and refraction. Introduction to transmission lines, antennas, and waveguides.

Complex numbers and functions. Complex Integration. Representation and analysis of linear time-invariant systems for the continuous-time case. Convolution. Fourier series and transforms. Laplace transform. Introduction to random signals and systems. Controls and communications applications.

Numerical solutions of equations in one variable, polynomial approximation, numerical differentiation and integration, numerical solutions of ordinary differential equations, error analysis. Direct and iterative numerical solutions of systems of linear and nonlinear equations. Numerical computation of eigenvalues and eigenvectors. Introduction to finite element. Students will be expected to write computer programs using the algorithms discussed. Practice in using mathematical software.

Electric charge and electric field, Gauss’law electric potential, capacitors and dielectrics, magnetic induction and Faraday’s law of induction, inductor, AC circuits, electromagnetic theorem and application, optics (lens and optical equipment, reflection, refraction, interference, diffraction and polarization), modern physics.

Plane and solid analytic geometry. Lines, planes, circles, spheres, vectors, change of coordinates, polar coordinates, parametric equations, curve sketching. Multivariable calculus. Multivariable functions. Partial derivatives. Double and triple integral. Scalar field and vector field. Vector differential calculus. Integration in vector fields. Gauss’s, Green’s and Stokes’s theorems. Fourier and Laplace Analysis and their applications.

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