Grant proposals in mathematics focus on outlining specific research plans that demonstrate a reasonable chance of achieving set goals. These proposals typically include a literature review and results from preliminary work to frame the project. While mathematicians may not require extensive lab equipment, funding is often sought for salaries, travel, student support, and computational resources. Research professors and regular professors rely on grants to support their work, allowing them to hire graduate students or reduce teaching loads. Proposals articulate how the research aligns with grant objectives, and while they may seem less demanding than those in experimental sciences, they still require careful accounting of expenditures. Computational demands in mathematics can be significant, involving supercomputers for complex modeling tasks, such as simulating the universe or predicting weather patterns. The integration of algorithms and programming expertise is crucial, as researchers often collaborate with programmers to optimize their models and handle large data sets effectively.