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# LSM 1 (YEAR 2, SPRING)

## Circuit Theory Applications

Textbook: Charles K. Alexander, Matthew N. O. Sadiku: Fundamentals of Electric Circuits, 6th ed. Mc Graw Hill.

Anchoring concept: 1st and 2nd order circuits: Circuits with DC sources and one or two storage elements (L and/or C)
Subtopics:

• Understanding responses of 1st and 2nd order circuits (review of ch.7, 8.1, 8.3 and 8.4)
• Steady-state response of a circuit / finding initial and ending values of currents and voltages (8.2)
• Characteristic equation of a circuit in time domain (8.5, 8.6)
• Finding roots of characteristic equation for 2nd order circuit and implications (8.7)
• Total response of 2nd order circuit (8.7, 8.8)

## Introduction to Communications Principles

Textbook: Roy D. Yates and David G. Goodman, Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers, 3rd Edition, Wiley.

Anchoring concept 1a: Probability theory and discrete random variables
Subtopics:

• Axioms of probability (1.3)
• Conditional probability (1.4)
• Binary communication channel (Leon-Garcia 2.4 or Ibe 1.7)
• Independence (1.6)
• Counting methods (2.2)
• Probability mass function – PMF (3.2)
• Cumulative distribution function – CDF (3.4)
• Moments of discrete random variables; expected value and variance (3.5, 3.8)

Anchoring concept 1b: Continuous random variables
Subtopics:

• Probability density function – PDF (4.3)
• Moments of continuous random variables; expected value and variance (4.4)
• Special probability distributions: Uniform, Exponential, Gaussian (4.5, 4.6)
• Delta functions, mixed random variables (4.7)

## Differential Equations

Anchoring concept: First order equations