University Electrical Engineering

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

2.1 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

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

4.1 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

5.1 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

6.1 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

7.1 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

8.1 Microcontroller architecture 8.2 Embedded C and assembly 8.3 Memory and I/O 8.4 Interrupts and timers 8.5 Serial protocols (UART, SPI, I2C) 8.6 ADC, DAC and sensors 8.7 Debugging and integration

9.1 Magnetic circuits and transformers 9.2 DC machines 9.3 Induction machines 9.4 Synchronous machines 9.5 Power networks 9.6 Per-unit system and power flow 9.7 Power electronics introduction

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

11.1 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

12.1 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