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大学電気工学

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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

    回路解析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

    電気工学のための数学的手法
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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

    ディジタルロジック設計
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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

    回路解析II（交流）
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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

    電子回路 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

    信号とシステム
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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

    電磁気学
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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

    マイクロプロセッサと組込みシステム
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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

    電気機械および電力システム
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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

    制御システム
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    • 10.1 このコースとは何か、および使い方は
    • 10.1 動的システムのモデル化
    • 10.2 伝達関数とブロック図
    • 10.3 時間領域応答
    • 10.4 ラウス安定性
    • 10.5 ルート locus
    • 10.6 ボードとニュ奎スト解析
    • 10.7 PID制御と補償
    • 10.8 ステートスペース入門
  • 11

    通信システム
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    • 11.1 信号、スペクトルおよび帯域幅
    • 11.2 振幅変調
    • 11.3 角度変調（FM/PM）
    • 11.4 ノイズとSNR
    • 11.5 PCMおよびベースバンド伝送
    • 11.6 デジタル変調
    • 11.7 情報と符号化の導入
  • 12

    デジタル信号処理
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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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IGCSE, A-Level & AP