Developing a strong mathematical foundation for Statistics Optional is crucial for understanding the subject thoroughly and scoring well in exams. Here are some key steps to achieve this:

1. Strengthening Basic Mathematics:
- Start by revising and practicing basic mathematical concepts such as algebra, calculus, and probability theory.
- Familiarize yourself with mathematical notations, symbols, and terminology commonly used in statistics.

2. Brushing up on Probability and Statistics:
- Gain a solid understanding of probability theory, including concepts like random variables, probability distributions, and conditional probability.
- Study the fundamentals of statistics, such as measures of central tendency, dispersion, and correlation.
- Learn about statistical inference, hypothesis testing, and confidence intervals.

3. Study Linear Algebra:
- Linear algebra plays a crucial role in statistics, especially in areas like regression analysis and multivariate analysis.
- Focus on topics like matrices, determinants, vector spaces, and eigenvalues.
- Understand how linear algebra concepts are applied in statistical models and computations.

4. Master Calculus:
- Calculus is essential for understanding the mathematical foundations of statistics.
- Focus on differential calculus, including topics like limits, derivatives, and optimization.
- Study integral calculus, particularly techniques like integration by parts and integration of functions.

5. Solve Practice Problems:
- Regularly solve practice problems and exercises to apply your mathematical knowledge to statistical problems.
- Practice solving both theoretical and numerical problems to develop a comprehensive understanding of statistical concepts.
- Analyze and understand the solutions to strengthen your problem-solving skills.

6. Refer to Standard Textbooks:
- Choose reliable and comprehensive textbooks that cover the mathematical foundations of statistics.
- Some recommended books include "Mathematical Statistics" by John E. Freund, "Probability and Statistics for Engineering and the Sciences" by Jay L. Devore, and "Linear Algebra and Its Applications" by David C. Lay.

7. Seek Guidance:
- If you come across any difficulties or have specific questions, seek guidance from experienced teachers, professors, or fellow students.
- Join online forums or discussion groups related to statistics to exchange ideas and clarify doubts.

By following these steps and consistently practicing, you can develop a strong mathematical foundation for Statistics Optional. Remember to stay focused, be persistent, and regularly revise the concepts to build a solid understanding of the subject.