Revision is an essential part of preparing for any examination, including the Mathematics Optional subject for UPSC. Here are some effective revision techniques that can help you master the subject:

1. Understand the Syllabus:
- Familiarize yourself with the syllabus of Mathematics Optional subject for UPSC.
- Identify the topics you are weak in and prioritize them during revision.

2. Create a Study Schedule:
- Develop a study schedule that allocates specific time slots for each topic.
- Break down the syllabus into smaller sections and assign specific days for revision.
- Stick to the schedule to ensure consistent and organized studying.

3. Review Lecture Notes and Textbooks:
- Go through your lecture notes and textbooks to refresh your understanding of the concepts.
- Pay attention to important formulas, theorems, and definitions.
- Make sure you have a clear understanding of the key concepts before moving on to practice questions.

4. Solve Previous Year Question Papers:
- Solve previous year question papers to get familiar with the exam pattern and types of questions asked.
- Analyze your performance and identify areas where you need improvement.
- Focus on understanding the logic and approach behind solving each question.

5. Practice Numerical Problems:
- Mathematics Optional subject involves a lot of numerical problems.
- Dedicate ample time to practicing different types of problems to enhance your problem-solving skills.
- Solve a variety of problems to cover different concepts and difficulty levels.

6. Form Study Groups:
- Join or form study groups with fellow aspirants preparing for Mathematics Optional subject.
- Discuss and solve problems together, exchange knowledge, and clarify doubts.
- Collaborative learning can be highly effective in understanding complex concepts.

7. Use Visual Aids and Mnemonics:
- Utilize visual aids such as diagrams, flowcharts, and graphs to understand and remember complex concepts.
- Create mnemonics or acronyms to remember formulas, theorems, or steps for solving specific types of problems.

8. Seek Help from Teachers or Experts:
- If you encounter difficulties in understanding certain topics, don't hesitate to seek help from your teachers or subject experts.
- They can provide additional explanations, tips, and shortcuts to improve your understanding and problem-solving skills.

9. Take Breaks and Stay Motivated:
- Revision can be mentally challenging, so it's important to take regular breaks to relax and rejuvenate.
- Stay motivated by setting achievable goals, rewarding yourself for progress, and visualizing your success.

Remember, effective revision involves a combination of understanding the concepts, practicing problems, and staying consistent. Use these techniques to enhance your preparation for Mathematics Optional subject and maximize your chances of success in the UPSC examination.