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University Electrical Engineering

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This course follows an electrical engineering degree. It begins with DC circuit analysis: Ohm's law, Kirchhoff's laws, nodal and mesh analysis, and the Thévenin and Norton theorems. From there it moves to the mathematics of signals, digital logic, AC circuits and phasors, electronics, signals and systems, electromagnetics, embedded systems, machines and power, control, communications and digital signal processing.

The first part is the foundation for everything else. Practise drawing the circuit, labelling every current direction and node voltage before writing an equation, and checking units at the end. Most wrong answers come from a sign set up badly at the start, not from hard algebra.

Later parts use more mathematics: complex numbers for AC, differential equations for circuits that change in time, and Laplace and Fourier transforms for signals. Learn each tool where it is first needed, and use it on a real circuit straight away.

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  • 1

    Circuit Analysis I (DC)
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    • 1.1 What this course is, and how to use it
    • 1.1 Quantities, units and measurement
    • 1.2 Ohm's law and Kirchhoff's laws
    • 1.3 Nodal and mesh analysis
    • 1.4 Source transformations and network theorems
    • 1.5 Ideal operational amplifiers
    • 1.6 Capacitors, inductors and energy
    • 1.7 First-order RC and RL response
  • 2

    Mathematical Methods for EE
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    • 2.1 What this course is, and how to use it
    • 2.1 Calculus review for signals
    • 2.2 Complex numbers and phasor algebra
    • 2.3 Linear algebra essentials
    • 2.4 Ordinary differential equations
    • 2.5 Laplace transforms
    • 2.6 Fourier series
    • 2.7 Probability and random variables
    • 2.8 Vector calculus for fields
  • 3

    Digital Logic Design
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    • 3.1 What this course is, and how to use it
    • 3.1 Number representations and codes
    • 3.2 Boolean algebra and Karnaugh maps
    • 3.3 Combinational building blocks
    • 3.4 Latches and flip-flops
    • 3.5 Finite state machines
    • 3.6 Registers, counters and memory
    • 3.7 HDL and verification basics
  • 4

    Circuit Analysis II (AC)
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    • 4.1 What this course is, and how to use it
    • 4.1 Sinusoidal steady state and phasors
    • 4.2 AC power and three-phase
    • 4.3 Second-order RLC circuits
    • 4.4 Resonance
    • 4.5 Filters and Bode plots
    • 4.6 Laplace circuit analysis
    • 4.7 Two-port networks
  • 5

    Electronics I
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    • 5.1 What this course is, and how to use it
    • 5.1 Semiconductors and diode models
    • 5.2 Rectifiers and dc supplies
    • 5.3 BJT biasing
    • 5.4 MOSFET biasing
    • 5.5 Small-signal amplifiers
    • 5.6 Op-amp feedback circuits
    • 5.7 Frequency response of amplifiers
  • 6

    Signals and Systems
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    • 6.1 What this course is, and how to use it
    • 6.1 Signal representations and system properties
    • 6.2 LTI systems and convolution
    • 6.3 Fourier series and transforms
    • 6.4 Sampling
    • 6.5 Laplace transform and system functions
    • 6.6 Discrete-time systems
    • 6.7 The z-transform
  • 7

    Electromagnetics
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    • 7.1 What this course is, and how to use it
    • 7.1 Vector field tools
    • 7.2 Electrostatics
    • 7.3 Magnetostatics
    • 7.4 Maxwell's equations
    • 7.5 Plane waves
    • 7.6 Transmission lines
    • 7.7 Waveguides and antennas
  • 8

    Microprocessors and Embedded Systems
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    • 8.1 What this course is, and how to use it
    • 8.1 Microcontroller architecture
    • 8.2 Embedded C and assembly
    • 8.3 Memory and I/O
    • 8.4 Interrupts and timers
    • 8.5 Serial protocols
    • 8.6 ADC, DAC and sensors
    • 8.7 Debugging and integration
  • 9

    Electrical Machines and Power Systems
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    • 9.1 What this course is, and how to use it
    • 9.1 Magnetic circuits and transformers
    • 9.2 DC machines
    • 9.3 Induction machines
    • 9.4 Synchronous machines
    • 9.5 Power networks and the per-unit system
    • 9.6 Per-unit and power flow
    • 9.7 Power electronics introduction
  • 10

    Control Systems
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    • 10.1 What this course is, and how to use it
    • 10.1 Modelling of dynamic systems
    • 10.2 Transfer functions and block diagrams
    • 10.3 Time-domain response
    • 10.4 Routh stability
    • 10.5 Root locus
    • 10.6 Bode and Nyquist analysis
    • 10.7 PID control and compensation
    • 10.8 State-space introduction
  • 11

    Communication Systems
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    • 11.1 Signals, spectra and bandwidth
    • 11.2 Amplitude modulation
    • 11.3 Angle modulation (FM/PM)
    • 11.4 Noise and SNR
    • 11.5 PCM and baseband transmission
    • 11.6 Digital modulation
    • 11.7 Information and coding introduction
  • 12

    Digital Signal Processing
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    • 12.1 What this course is, and how to use it
    • 12.1 Discrete-time signals and systems review
    • 12.2 DTFT and DFT
    • 12.3 The FFT
    • 12.4 FIR filter design
    • 12.5 IIR filter design
    • 12.6 Multirate processing
    • 12.7 Signal-processing project

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