UPSC Maths Optional Syllabus: Mathematics Optional Syllabus PDF
By Balaji
Updated on: March 21st, 2023
UPSC Maths Optional Syllabus is static in nature, and the candidates who have studied Maths their graduation would easily cover the topics just by brushing up on the concepts. As Maths is not linked to current affairs, candidates only have to revise the theory and formulas. Additionally, the questions from the Maths Optional Syllabus have an absolute answer, so candidates can easily fetch good marks. Topics included in the UPSC Maths Optional Syllabus are logicbased, which offers a scoring opportunity to the candidates.
Additionally, candidates don’t have to memorize too much information apart from formulas and theorems to cover the UPSC Maths Optional Syllabus. Candidates with strong mathematical aptitude must opt for Maths optional for their UPSC exam. Here we will be providing the UPSC Mathematics Optional Syllabus PDF and the best books and strategies to prepare for it.
Table of content

1. UPSC Maths Optional Syllabus

2. UPSC Mathematics Optional Syllabus PDF

3. UPSC Maths Optional Syllabus Paper 1

4. UPSC Mathematics Optional Syllabus Paper 2

5. Advantages of UPSC Maths Syllabus

6. How to Prepare for Maths Optional Syllabus?

7. UPSC Maths Optional Syllabus – Booklist
UPSC Maths Optional Syllabus
The Maths optional 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 Mathematics Optional Syllabus  Topics  Marks 
Maths Optional Syllabus for Paper 1  Linear Algebra, Calculus, Analytic Geometry, Ordinary, Differential Equations, Dynamics and Statics, Vector Analysis  250 
Maths Optional Syllabus Paper 2  Algebra, Real Analysis, Complex Analysis, Linear Programming, Partial Differential Equations, Numerical Analysis, 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 Mathematics Optional Syllabus PDF
UPSC Toppers who have opted for the Maths optional recommend that candidates must keep a copy of the UPSC Maths syllabus while preparing. It would make sure the candidates won’t miss any topic, and help them cover the topics in the right way. Candidates need to take a look at the whole syllabus and come up with a rocksolid preparation. Below we have mentioned the PDF for Maths optional for UPSC, and candidates can download it to start their preparation.
UPSC Maths Optional Syllabus Paper 1
Paper 1 of the UPSC Maths Optional 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 Mathematics Optional Syllabus Paper 2
Paper 2 of the Maths optional syllabus paper 2 is segmented into 7 subtopics, namely algebra, real analysis, complex analysis, linear programming, partial differential equations, numerical analysis, and mechanics. The topics covered under these subtopics are given below.
Advantages of UPSC Maths Syllabus
Maths has always been considered a scoring subject because of the static nature of the Maths optional syllabus.
 If you have prepared well, then it will be far easier for you to score high marks.
 There have been many UPSC Toppers in the past who have opted for Maths Optional Subject for UPSC.
 Direct questions from the textbooks have been asked in the exam, and any maths graduate would find the UPSC Maths optional syllabus easy to cover.
 There is not much competition when it comes to Maths optional subject compared to other subjects.
 In humanities optional subject you have no idea of how you have done, but in Maths you will know how much you are going to score.
How to Prepare for Maths Optional Syllabus?
The UPSC Maths Optional Syllabus will 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 and cover the UPSC Syllabus for Mathematics optional with ease.
 As mathematics is one of the conceptfocused subjects in the optional list, the aspirant needs to build a crystalclear understanding of concepts. A solid understanding of the topics covered in the UPSC mathematics optional syllabus is a must for acing this exam.
 Keep revising what you have learned, and ensure to maintain a fixed revision time for optimum retention. Go through the UPSC Exam Pattern and prepare accordingly.
 Practice the UPSC Previous Year Question Papers, and it will give you an idea of the types of questions asked from the UPSC Maths Optional Syllabus and their difficulty level.
 Attempt as many mock tests as possible. The more you practice, the easier the UPSC maths syllabus will 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 you marks.
UPSC Maths Optional Syllabus – Booklist
Choosing the right Maths Books for UPSC 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 help you practice and clear your concepts. Following are the books that you can consider to get a strong grasp of the Maths optional syllabus.
Books for UPSC Mathematics Optional Paper 1
Paper 1 of the UPSC Maths Optional Syllabus covers topics like Linear Algebra, Calculus, Analytic Geometry, Ordinary, Differential Equations, Dynamics and Statics, and Vector Analysis. And following are the books you need to cover 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
Books for UPSC Maths Syllabus 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