The UPSC Mathematics optional paper consists of 500 marks which are divided into 2 papers. For the last 6 years, the conducting body has given Ordinary Differential Equations and Calculus the most important as they have an average weightage of 80.6 marks and 78.4 marks.
To prepare for IAS (UPSC CSE) Mathematics Optional, just practice will not be enough. Start your preparation by practicing the NCERT Mathematics books of Class 11 and 12. This will help you to clear the concept.
In the following article, for better understanding, the mathematics optional paper, the topic-wise preparation tips, best books for each topic, and reference books along with preparation strategy has been given.
The topic-wise weightage has been given in the following table. The order has been maintained as per the weightage of the topic each year.
|Ordinary Differential Equations||70||70||87||106||70|
|Numerical Methods and Computer Programming||45||60||75||75||90|
|Mechanics and Fluid Dynamics||65||70||50||50||80|
|Dynamics and Statics||84||75||60||22||70|
|Partial Difference Equations||75||70||60||60||45|
Rather than following several books on each paper, candidates can take specific books for each topic. This will help to complete each topic in depth.
Here are the topic wise preparation books for the Mathematics Paper-I. Candidates will be able to find the below-mentioned books in the offline market and the online market as well.
|Topics||Name of Books||Author/Publishers|
|Linear Algebra||Schaum Series||Seymour Lipschutz|
|Linear Algebra||Hoffman and Kunze|
|Calculus||Mathematical Analysis||S C Malik and Savita Arora|
|Elements Of Real Analysis||Shanti Narayan and M D Raisinghania|
|Analytic Geometry||Analytical Solid Geometry||Shanti Narayan and P K Mittal|
|Solid Geometry||P N Chatterjee|
|Ordinary Differential Equations (Ode)||Ordinary And Partial Differential Equations||M D Raisinghania|
|Dynamics And Statics||Me Statics & Dynamics||Vasishtha|
|Vector Analysis||Schaum Series||Murray R. Spiegel|
For the topics in the Paper-II of UPSC Mathematics Optional, candidates can choose the following books for the mentioned topics:
|Topics||Name of the Books||Author/ Publisher|
|Algebra||Contemporary Abstract Algebra||Joseph Gallian|
|Real Analysis||Elements Of Real Analysis||Shanti Narayan and M D Raisinghania|
|Complex Analysis||Complex Variable (Schaum's Outlines||Speigel, Lipschitz, Schiller, Spellman|
|Linear Programming||Linear Programming And Game Theory||Lakshmishree Bandopadhyay|
|Partial Differential Equations||Advanced Differential Equations||M D Raisinghania|
|Numerical Analysis And Computer Programming||Computer-Based Numerical And Statistical Techniques||M.Goyal|
|Numerical Methods||Jain, Iyengar, and Jain|
|Digital-logic And Computer Design||M. Morris Mano|
|Mechanics And Fluid Dynamics||Fluid Dynamics||Krishna Prakashan|
Other than the above-mentioned books, candidates can use these books as reference:
The previous year’s question papers are essential for the IAS (UPSC CSE) exam. To download the previous year papers from 2016 to 2020 free of cost, click on the links given below:
We will now share paper-wise tips for different important topics which are often repeated over the years in IAS (UPSC CSE) Mains Maths Optional Papers.
The IAS (UPSC CSE) Mathematics can be prepared with the UPSC prelims 2021. This will boost your preparation as well as you will have more time to prepare for the exam. We hope the tips shared above will assist your preparation and wish you all the very best!
Ques. Does UPSC allow calculators in Mathematics Optional Exam?
Ans. Yes, scientific non-programmable calculators are allowed in mains for any subject even for English Literature. UPSC doesn't want to bias towards any one particular optional so it has allowed the use of calculators for all.
Ques. Who got the highest marks in Mathematics Optional in IAS (UPSC CSE) Mains exam?
Ans. In 2017, Anubhav Singh got the highest score for the Mathematics Optional subject. He scored 375 out of 500.
*The article might have information for the previous academic years, please refer the official website of the exam.