Complex Numbers for Engineers
Complex numbers are useful in many areas of mathematics, engineering and the physical sciences.
Electrical engineering: Complex numbers are used to represent alternating current (AC) signals, which are waves that vary sinusoidally with time. The real part of a complex number represents the in-phase component of the AC signal, and the imaginary part represents the quadrature component.
Control theory: Complex numbers are used to analyse and design control systems. A control system is a system that uses feedback to control the behaviour of another system. Complex numbers can be used to represent the state of the system and the control inputs.
Quantum mechanics: Complex numbers are essential in quantum mechanics, which is the study of the behaviour of matter at the atomic and subatomic level. Complex numbers are used to represent the wavefunctions of quantum particles, which describe the probability of finding a particle at a particular location.
Signal processing: Complex numbers are used to represent signals as time-varying functions. The real part of a complex number represents the amplitude of the signal, and the imaginary part represents the phase of the signal.
Cryptography: Complex numbers are used in cryptography, which is the study of secure communication. Complex numbers can be used to generate cryptographic keys, which are used to encrypt and decrypt messages.
In general, complex numbers are useful in any situation where it is necessary to represent or solve problems involving waves, rotations, or periodic functions.
Level 4
£9.95
- PDF Workbook
- 7 Video Tutorials
- 14 Multiple Choice Exercises
- Final Exam
- Certificate of Completion
Meet the instructor
—
Mike Lopez
UniCourse Mathematics Lecturer and CEO
