Before diving into physics and working through the concepts in the sections below, you should be proficient in mathematics to be a successful physicist. You should be good at mathematical concepts and how to apply them. Math is considered the language of physics, so if you dislike mathematics, you may want to pursue other educational options.

1. Basic mathematics

Algebraic equations, Solving Equations and Inequalities, Graphing and Functions, Approximation techniques, Polynomial Functions, Exponential and Logarithm Functions, Systems of Equations, Series & Sequences, Trigonometry. 

I recommend that you study Paul Dawkins's free lectures on algebra and Why Math? by R.D. Driver.

2. Calculus

In a nutshell, calculus is the study of change. You will probably spend a good deal of your mathematics education studying calculus, including Limits, Differentiation, and Integration. 

Thomas' Calculus is one of the most favorable introductory books for studying calculus. Additionally, I recommend studying Paul Dawkins's free lectures in Calculus I, Calculus II, and Calculus III.

3. Matrix and Determinant

Matrices, Laws and Properties of Matrices, Calculus in the Matrices Space, Determinants, Using Matrices in Algebra, and Eigenvalues and Eigenvectors. 

Here, I recommend studying Mathematical Methods for Physicists by Arfken, Weber, and Harris. Also, You can study my lectures in Linear Algebra.

4. Vectors Analysis 

Vector Algebra, Curvilinear Coordinates, and Vector Calculus. 

Here, I recommend studying Mathematical Methods for Physicists by Arfken, Weber, and Harris and Vector Calculus by Jerrold Marsden and Anthony Tromba. Additionally, you can study David Tong's free lectures in Vector Calculus and My lectures in Vector Analysis.

5. Differential Equations

First and second order DEs, Series Methods, Laplace transform, Sturm-Liouville Theory, Green’s Theorem and Partial DEs. 

Here, I recommend studying Ordinary Differential Equations by Morris Tenenbaum and Harry Pollard, and Partial Differential Equations: An Introduction by Walter A. Strauss. Additionally, you can study My lectures in Differential Equations.

6. Complex Variable Theory

Complex Algebra, Cauchy-Riemann Equations, Cauchy theorems and contour integration, Laurent Expansion, Mapping, Calculus of Residues. 

Here, I recommend studying Complex Analysis: A First Course with Applications by Dennis G. Zill and Patrick D. Shanahan, and Visual Complex Analysis by Tristan Needham. Additionally, I recommend studying my lectures of Complex Analysis.

7. Integral transform

Laplace transform and Fourier Transform. 

Here, I recommend studying Mathematical Methods for Physicists, A Comprehensive Guide by Arfken, Weber, and Harris. Additionally, I recommend studying my lectures of Differential Equations and Fourier Analysis.

8. Special Functions

Gamma function, Bessel Functions Legendre Functions, Hermite Functions, Laguerre Functions. Here, I recommend studying Mathematical Methods for Physicists, A Comprehensive Guide by Arfken, Weber, and Harris. Additionally, I recommend studying my lectures of Special Functions.

9. Linear Algebra, Vector Spaces, and Eigenvalue Problems. 

Linear algebra, vector space, and eigenvalue problems. 

Here, I recommend studying Mathematical Methods for Physicists, A Comprehensive Guide by Arfken, Weber, and Harris. In addition, you can study Introduction to Linear Algebra, Fifth Edition by Gilbert Strang. Also, You can study my lectures in Linear Algebra.