Part I: Mathematical Physics
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First, you should be proficient in mathematics to be a successful physicist. You should be good at mathematical concepts and how to apply them. In these lectures, I will mention the main mathematical topics we need to study in physics. Math is considered the language of physics, so if you dislike mathematics, you may want to pursue other educational options.
Before you begin studying physics and working through the topics, courses, as well as research, you need to be familiar with Mathematics.
Contents:
Calculus – Review
Matrix and Determinant
Vectors analysis and vectors calculus
Deferential equations
Complex variable theory
Integral transforms
Special Functions
Vector Spaces and Eigenvalue Problems
These lecture notes are far from original. They borrow heavily from the following books:
Mathematical Methods for Physicists; George B. Arfken, Hans J. Weber, Frank E. Harris.
A Course in Modern Mathematical Physics; Peter Szekeres.
Advanced Mathematics for Applications; Andrea Prosperetti.
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