Struggling with advanced mathematics, particularly infinite series and their tests like the Integral Test, is a common challenge for recent physics graduates. Mastery of a few key mathematical tricks can significantly impact grades, with a small set of techniques often leading to better understanding and performance. Important topics to focus on include power series, complex numbers, linear equations, and Fourier series, as they provide foundational insights. Differential equations also require attention to fundamental concepts despite having numerous tricks. For effective problem-solving practice, resources like the Schaum's Outline series are recommended. Specific techniques, such as integrating with respect to y before x in double integrals and strategic row operations in matrices, can simplify complex problems. Additionally, understanding Euler's formula enhances comprehension of trigonometric relationships, illustrating the interconnectedness of mathematical concepts.