Level 1 (Bachelor's Level): Strong understanding of arithmetic, algebra, geometry, trigonometry, and basic calculus. Ability to solve math word problems and familiarity with basic probability and statistics. Level 2 (Master's Level): In addition to Level 1 requirements, proficiency in calculus and advanced math concepts like linear algebra, differential equations (ordinary and partial), and discrete mathematics. Familiarity with mathematical model building and basic game theoretic concepts. Level 3 (PhD Level): Expert-level understanding of advanced mathematical concepts, including theorem proving, complex analysis, abstract algebra, topology, and advanced statistical modeling techniques. Experience with research and the ability to explain complex mathematical concepts clearly. Excellent problem-solving skills and analytical thinking ability. Strong attention to detail and a commitment to accuracy. Ability to work independently and manage time effectively. Excellent written and verbal communication skills.