Official Course Description: MCCCD Approval: 07/22/08
ELT115 19972-20086	LEC	3 Credit(s)	3 Period(s)
Mathematics for Electronics III
Application of mathematical principles including algebra, trigonometry, and logarithms in network theorems for solution of electronic circuit problems; algebraic solutions of series-parallel circuits and series-parallel networks; simultaneous and quadratic equations, and determinant application in DC(direct current) and AC(alternating current) circuit analysis; AC circuit network solutions with phasor algebra and trigonometric functions; applications of logarithms. Prerequisites: (ELT102 or equivalent) and ELT113, or permission of Instructor.

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MCCCD Official Course Competencies:
ELT115   19972-20086	Mathematics for Electronics III

1.	Apply algebraic principles with Kirchoff's voltage and current laws, and voltage divider rule, to solve for unknown quantities in series and parallel circuits, and series-parallel networks. (II)
2.	Use simultaneous equations and determinants to solve electronic circuits with mesh, branch, and nodal circuit analysis. (III)
3.	Apply algebraic principles in network theorems including superposition, Thevenin, Norton, Millman, and maximum power transfer to solve for unknown values in single and multi-source electronic networks. (IV)
4.	Calculate instantaneous potential difference in RC circuits graphically and with exponential functions. (V.C-F)
5.	Calculate instantaneous sinusoidal values, using trigonometric functions and radian measurement. (VI)
6.	Determine the algebraic sum of sinusoidal waveforms through complex numbers (phasor algebra). (VII)
7.	Use phasor algebra to solve for unknown quantities in series and parallel AC circuits. (VIII.A)
8.	Apply phasor algebra in the solution for unknown quantities in series-parallel AC networks. (VIII.B)
9.	Employ phasor algebra with simultaneous equations and determinants to solve AC circuits employing mesh, branch, and nodal circuit analysis. (IX)
10.	Apply algebraic principles with phasor algebra in network theorems including superposition, Thevenin, Norton, Millman, and maximum power transfer to solve for unknown values in single nd multi-source AC circuit networks. (X)
11.	Employ algebraic and trigonometry principles to solve for active, reactive, apparent power, and power factor in AC circuits. (XI)

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MCCCD Official Course Outline:
ELT115   19972-20086	Mathematics for Electronics III

I. Course introduction A. Description B. Organization C. Requirements D. Grading procedures E. Textbook F. Objectives by units II. Algebraic principles employing voltage and current laws A. Series and parallel circuits 1. Series circuits a. Kirchoff's voltage law b. Voltage divider rule 2. Parallel circuits a. Kirchoff's current law b. Current divider rule 3. Voltage sources in series 4. Internal resistance of voltage sources 5. Voltage sources in parallel B. Series-parallel networks 1. Analysis of series-parallel networks a. Method of solving b. Descriptive examples 2. Analysis of ladder networks a. Methods of solving b. Descriptive examples III. Simultaneous equations and determinants A. Determinants and simultaneous equations B. Methods of DC cirucuit analysis 1. Current sources a. Source conversions b. Sources in parallel c. Sources in series 2. Branch-current method 3. Mesh analysis a. General approach b. Format approach 4. Nodal analysis a. General approach b. Format approach 5. Bridge networks 6. Delta-wye conversions IV. Algebraic principles in network theorems A. DC network theorems B. Superposition C. Thevenin D. Norton E. Maximum power transfer F. Millman V. Logarithmic and exponential functions in capacitive DC circuits A. Electric field B. Capacitance C. Transients in capacitive networks D. Thevenin usage for RC networks E. Current F. Series and parallel configurations VI. Trigonometric functions with sinusoidal alternating current A. AC voltage generation B. Defined polarities and direction C. Definitions D. Sine wave 1. General voltage format 2. General current format E. Phase relations F. Average value G. Effective value H. Average power and power factor VII. Phasor algebra A. Rectangular and polar forms B. Conversion between forms C. Mathematical operations with complex numbers 1. Addition 2. Subtraction 3. Multiplication 4. Division D. Calculations with phasors VIII. Solutions with phasor algebra A. Series and parallel AC circuits 1. Impedance and the phasor diagram 2. Series configuration 3. Voltage divider rule 4. Admittance and susceptance 5. R-L, R-C, R-L-C parallel AC networks 6. Current divider rule 7. Equivalent circuits 8. Power in AC circuits B. Series-parallel AC networks 1. Illustrative examples 2. Ladder networks IX. Advanced algebraic methods for AC circuit analysis A. Independent versus dependent sources B. Source conversions C. Mesh analysis 1. General approach 2. Format approach D. Nodal analysis E. Bridge networks F. Delta/wye conversions X. Advanced network theorems with phasor algebra A. Superposition B. Thevenin C. Norton D. Maximum power transfer E. Millman XI. Application of trigonometric functons to power in AC circuits A. Resistive circuit B. Reactive power C. Apparent power D. Power triangle E. Total P, Q, and S

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