For a scoring score in the UPSC mathematics exam, it is important to prepare systematically. Maths is a logical subject, and students must develop their understanding of the fundamental concepts and underlying logic. The more they practice and memorize, the easier it will be to apply this logic to an exam. If the students practice this subject before the exam, they will be less likely to skip important steps of the solution. It is important to have a formula sheet prepared since it will come in handy at any time.
Math is not the most popular optional subject in the UPSC exam, but it is a scoring subject. It has always produced good ranks. The highest scorer in mathematics was Anubhav Singh, who scored 375 out of 500. Moreover, the syllabus for maths is static and not connected to current affairs. Thus, candidates need only revise and understand the concepts. A good math graduate will find the questions on mathematics easy to medium.
One of the main reasons students opt for mathematics as an optional subject is its simplicity. Maths has a limited syllabus, and students can complete it in a year. The syllabus is easy to gauge, whereas students in other subjects like social science have no idea about the amount of preparation they can expect after 10000 hours. Maths questions are predictable and straightforward, so candidates can expect to score a 100 percent mark in the exam if they prepare properly.
For the UPSC mathematics exam, students must know how to apply the principles of the subject. For example, students should be familiar with generalized coordinates, D'Alembert's principle, and the Lagrange and Hamilton equations. Then they must learn about axisymmetric motion, two-dimensional motion, and the Navier-Stokes equation for a viscous fluid.
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