To analyze the UPSC syllabus, one should follow the following approach:

1. Understand the structure of the syllabus: The UPSC syllabus is divided into two parts - Prelims and Mains. The Prelims syllabus covers General Studies and Aptitude Test, while the Mains syllabus covers nine papers, including an optional subject.

2. Identify the areas of study: Go through the syllabus and identify the areas of study that are covered. This will give you an idea of the topics that you need to focus on.

3. Categorize the topics: Categorize the topics based on their importance and weightage. For example, topics like Indian Polity, Indian Economy, and Environment and Ecology are given more importance in the UPSC exam.

4. Identify the interlinking topics: There are several topics in the UPSC syllabus that are interlinked. For example, Indian Polity and Constitution are closely related. Identifying such interlinking topics will help you understand the subject better.

5. Understand the demand of the exam: The UPSC exam is not just about knowledge, but also about analytical and critical thinking. You should understand the demand of the exam and accordingly prepare for it.

6. Prepare a study plan: Based on your analysis, prepare a study plan that covers all the important topics and also gives you enough time for revision and practice.

By following these steps, you can effectively analyze the UPSC syllabus and prepare for the exam.