Which topics in maths should I know before I dive into programming for image processing?

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I am a student who wants to start out with programming for Image processing but as I do not have a good mathematical background(I haven't studied A-level Maths) I would like to know what are the mathematical topics I should have a good grasp on before starting programming for image processing?Please also tell the order in which I should study them.Thank you

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Linear Algebra: matrix calculations, optimizations and etc

Basic Signal Processing (such as Oppenheim's textbook): sampling theorem, discrete signals, Fourier transform, z-transform, filtering, wavelet filter and etc

Image Processing (Such as Gonzales's textbook): de-noising, image enhancement, image filtering and etc