UPSC Maths Optional Syllabus - Download Latest Syllabus PDF

By Shubhra Anand Jain|Updated : July 2nd, 2022

UPSC Maths Optionals Syllabus is static in nature, and the candidates who have studied Maths in their graduation would easily cover the topics just by brushing up the concepts. As maths is not linked to current affairs, candidates only have to revise the theory and formulas. Additionally, the questions from the UPSC Maths Optional Syllabus have an absolute answer, so candidates can easily fetch good marks. 

Topics included in the UPSC maths syllabus are logic-based which offers a scoring opportunity to the candidates. Additionally, candidates don’t have to memorize too much information apart from formulas and theorems. Candidates with strong mathematical aptitude must opt for maths optional for their UPSC exam. 

Table of Content

UPSC Maths Optional Syllabus

The UPSC maths syllabus includes topics like linear algebra, analytics geometry, ordinary differential equation, algebra, real analysis, etc. aspirants have to face two papers from the UPSC maths optional syllabus, and below we have provided how the structure of the maths optional exam looks in UPSC exam.

UPSC Maths Syllabus

Topics

Marks

UPSC Maths Optional Syllabus Paper 1

Linear Algebra, Calculus, Analytic Geometry, Ordinary, Differential Equations, Dynamics and Statics, Vector Analysis



250

UPSC Maths Optional Syllabus Paper 2


Algebra, Real Analysis, Complex Analysis, Linear Programming, Partial Differential Equations, Numerical Analysis, and Computer Programming, Mechanics and Fluid, Dynamics






250

As the above table mentions, each paper of the UPSC maths optional syllabus carries 250 marks and a total of 500 marks. That’s why it is crucial for the candidates to score as much as possible in the optional subject as it will uplift their rank in the UPSC exam.

UPSC Maths Optional Syllabus PDF

Candidates need to download the UPSC maths syllabus and kick start their preparation. The maths syllabus is released by UPSC along with the whole UPSC syllabus We have provided the direct link below to make this process easier for candidates.

UPSC Maths Optional Syllabus Paper 1

Paper of the UPSC maths syllabus includes topics namely Linear Algebra, Calculus, Analytic Geometry, Ordinary Differential Equations, Dynamics and Statics, and Vector Analysis. It is further divided into the following subtopics

UPSC Maths Optional SyllabusUPSC Maths Optional Syllabus

UPSC Maths Optional Syllabus Paper 2

The UPSC maths syllabus paper 2 is segmented into 7 topics, and these topics are further divided into subtopics as mentioned below.

UPSC Maths Optional Syllabus

UPSC Maths Optional Syllabus

UPSC Maths Syllabus Preparation

The UPSC maths optional syllabus would be easier to cover if the candidates prepare strategically for it. Following the tips we have covered below will help them to make the most out of their preparation.

  • As mathematics is one of the concept-focused subjects in the optional list, the aspirant needs to build a crystal-clear understanding of concepts. A solid understanding of the topics covered in the UPSC maths optional syllabus is a must for acing this exam.
  • Keep revising what you have learned, and ensure to maintain fixed revision time for optimum retention. 
  • Practice previous year’s UPSC question papers, and attempt as many as mock tests possible. The more you practice the easier the UPSC maths syllabus would look to you.
  • Prepare your own formula sheet, and go through it time to print it in your brain.
  • Be extra cautious while writing the answer, as one silly mistake can cost your marks

UPSC Maths Optional Syllabus- Booklist

Choosing the right books is a must when you are covering the UPSC maths optional syllabus. In the optional section, questions will be a little difficult to deal with, and you need books that would not only help you to practive but also clear your concepts. Following are the books that you can consider to get a strong grasp over the UPSC maths syllabus.’

UPSC Maths Optional Syllabus Books for Paper 1

Paper 1 of the UPSC maths optional syllabus covers topics like Linear Algebra, Calculus, Analytic Geometry, Ordinary, Differential Equations, Dynamics and Statics, Vector Analysis. And following are the books you need to cover the paper 1 efficiently

  • SCHAUM SERIES - Seymour Lipschutz 
  • LINEAR ALGEBRA - Hoffman and Kunze 
  • MATHEMATICAL ANALYSIS - S C Malik and Savita Arora
  • ANALYTICAL SOLID GEOMETaRY - Shanti Narayan and P K Mittal
  • SOLID GEOMETRY - P N Chatterjee
  • ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS - M D Raisinghania
  • SCHAUM SERIES - Murray R. Spiegel

UPSC Maths Optional Books Syllabus for Paper 2

The UPSC maths optional syllabus for paper 2 would cover Algebra, Real Analysis, Complex Analysis, Linear Programming, Partial Differential Equations, etc. To answer the questions from these topics you will need the following books

  • CONTEMPORARY ABSTRACT ALGEBRA - Joseph Gallian
  • SCHAUM SERIES - Speigel, Lipschitz, Schiller, Spellman
  • LINEAR PROGRAMMING AND GAME THEORY - Lakshmishree Bandopadhyay
  • ADVANCED DIFFERENTIAL EQUATIONS - M D Raisinghania 
  • DIGITAL LOGIC AND COMPUTER DESIGN - M. Morris Mano

 

List of UPSC Optional Subjects Syllabus
UPSC Agriculture SyllabusUPSC Animal Husbandry and Veterinary Science Syllabus
UPSC Anthropology SyllabusUPSC Botany Syllabus
UPSC Chemistry SyllabusUPSC Civil Engineering Syllabus
UPSC Commerce and Accountancy SyllabusUPSC Economics Syllabus
UPSC Electrical Engineering SyllabusUPSC English Literature Syllabus
UPSC Geography Syllabus UPSC Geology Syllabus
UPSC Hindi Literature SyllabusUPSC History Syllabus
UPSC Law SyllabusUPSC Management Syllabus
UPSC CSAT SyllabusUPSC Mechanical Engineering Syllabus
UPSC Medical Science SyllabusUPSC Philosophy Syllabus
UPSC Physics SyllabusUPSC Political Science and International Relations (PSIR) Optional Syllabus
UPSC Psychology SyllabusUPSC Public Administration Syllabus
UPSC Science and Technology SyllabusUPSC Sociology Optional Syllabus
UPSC Statistics SyllabusUPSC Zoology Syllabus

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UPSC Maths Optional Syllabus FAQs

  • There are a total of 48 optional subjects in the UPSC exam, and maths is one of them. The UPSC maths syllabus includes topics like calculus, algebra, vector analysis, partial differential equations, etc. Candidates can easily fetch marks in this subject as every question has an absolute answer.

  • No, the UPSC CSAT syllabus is different from the UPSC maths syllabus. The CSAT syllabus includes reasoning and analytical sections, whereas the maths syllabus covers topics that are pure mathematics.

  • Mathematics is an optional subject, and those who have studied mathematics in their UG or PG level will find the UPSC maths syllabus easier to comprehend. But those who haven’t studied mathematic lately might face difficulties in dealing with this subject.

  • Mathematics is no doubt is a concept-focused subject, and to cover the whole UPSC maths syllabus in 6 months one has to practice problems as much as possible, adopt a systematic approach, aware of time management, and follow a robust study plan.

  • As we have mentioned above that there will be two papers, Paper 1 and Paper 2 in the UPSC Maths syllabus, and they cover topics like Linear Algebra, Calculus, Analytic Geometry, Ordinary, Differential Equations, Algebra, Real Analysis, Complex Analysis, Linear Programming, and Partial Differential Equations.

  • Analytic Geometry’ by PN Chatterjee is one of the best books to cover the coordinate geometry section from the UPSC maths syllabus. Apart from this book candidates should also follow other resources to get a good grip over the coordinate geometry section.

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