Have you started your UPSC IAS exam preparation yet? Are you apprehensive about UPSC maths optional syllabus? Have you found the right resources that can give you the right materials to study for the IAS exam? Can’t decide which sources to believe when it’s coming about choosing the right kind of material? Well, calm down! We have got your back here.
Here in this article, you are going to get a complete list of UPSC maths optional books that too as per the UPSC maths optional syllabus. Read the article till the end to find important web links that will definitely help you prepare for the upcoming IAS exam.
Maths as an UPSC Optional Subject
Selecting the correct optional subject for UPSC Mains is a critical decision for all UPSC candidates. A good rule of thumb is to choose a subject in which you have some academic experience and a true interest. Other considerations to consider in picking the Optional Topic include the subject’s prior performance in UPSC, the time needed to prepare the subject, the subject’s input to the General Studies syllabus, and the tutoring available in the subject.
First and foremost, a candidate must have studied mathematics during his or her undergraduate studies. Even if one has done well in mathematics up to 12th grade, it is insufficient for UPSC Mains.
Second, an applicant must have a real interest in the subject, as the curriculum will appear overwhelming to someone who lacks enthusiasm for it. A student with a passion for Maths, on the other hand, will not find creating concepts and practising them difficult at all.
UPSC Maths Optional Books List
Let’s take a look at the recommended UPSC maths optional books. Below is the list divided into Paper 1 and Paper 2 as per the UPSC maths optional syllabus and also divided topic-wise.
Linear Algebra – A.R.Vasishtha
Calculus and Real Analysis – S.C Malik and Savita Arora Shanti Narayana
3-D Geometry – P.N. Chatterjee
Ordinary Differential Equations – M.D. Raisinghania, Ian Sneddon
Vector Analysis – A.R. Vasista
Algebra – Joseph A. Gallian, Shramik Sen Upadhayay
Complex Analysis, Schaum Series – J.N. Sharma, Ponnu Swami
Linear Programming – Shanti Swarup, Kanti Swarup
Numerical Analysis – Jain and Iyenger, K. Shankar Rao, S.S. Sastry
Computer Programming – Raja Raman
Dynamics & Statics – A.R. Vasista
Mechanics and Fluid Dynamics – M.D. Raisinghania, R.K. Gupta, J.K. Goyal and K.P. Gupta
UPSC Maths Optional Syllabus
Let’s have a look at the UPSC maths optional syllabus before going through the booklist divided into Paper-I and Paper-II.
Ordinary Differential Equations
Dynamics & Statics
Partial differential equations
Numerical Analysis and Computer programming
Mechanics and Fluid Dynamics
Books for Mathematics Paper I
Linear Algebra – K.C. Prasad, K B Datta
Calculus – Shanti Narayan Integral Calculus
Analytic Geometry – Shanti Narayan, HC Sinha, DK Jha and Sharma
Ordinary Differential EQs:- MD Raising Lumina, Golden series-NP Bali
Dynamics, Statistics, and Hydrostatics – M.Ray
Vector analysis – Shanti Narayan
Also Read: Here’s Another List of Books for Mathematics
Books for UPSC Maths Optional Syllabus Paper II
Algebra – K C Prasad, KB Datta
Real Analysis – Shanti Narayan, Royden
Complex Analysis – GK Ranganath
Linear Programming – SD Sharma
Partial Diff.eqs. – Singhania
Numerical analysis and Computer Prog. – V. Rajaraman, SS Shastri
Mechanics & Fluid dynamics – AP Mathur, Azaroff Leonid
Other Important Books for IAS Exam
Modern Algebra – A. R. Vashisth
Algebra – J. N. Sharma and S. N. Goyal
Linear Algebra – Schaum Series (Lipshutz) or Sharma and Vashisth
Matrices – Schaum Series (Frank Ayres) or Vashisth
Calculus – I. A. Menon
Coordinate Geometry – R. L. Soni
Solid Mechanism – Kazmioo
Mathematics Dictionary – James
Differential Equations – Schaum Series (Frank Ayres) or N.M. Kapur or Raisinghania
Numerical Analysis – S.S. Sastry
Complex Analysis – Schaum Series or J.N. Sharma
Operations Research – Kanti Swaroop or Manmohan
Differential Calculus – Gorakh Prasad
Analytical Solid Geometry – Shanti Narayanan
Text Book of Coordinate Geometry – Rai Ballabh
Mechanism – D. S. Mathur
Statistical Mechanism – Carson Horg
Why Choose UPSC Maths Optional for UPSC IAS Exam?
There are certain factors that work in your favour if you take Maths as your optional subject for the IAS exam. Let’s look at the general advantages one can have by taking maths as his/ her optional subject.
Mathematics is one of the most scoring subjects in the school level, graduation or even the UPSC IAS exam. If one is prepared enough and has written the right answer, there is no scope of getting marks deducted in this subject.
UPSC maths optional questions are direct type. Most of those are given from the textbooks. Anybody who is prepared well will find those questions to be easy to medium on the difficulty level.
UPSC maths optional syllabus is static. It is not related to current affairs or news thus does not need frequent updating. One just needs to finish the syllabus and prepare that very well.
Preparation Tips for UPSC Maths
If your professors in high school and college advised you that the best way to get good grades was to practise math problems a lot and avoid making dumb mistakes, they were perfectly correct. These are the fundamentals for excelling in mathematics. We’ve put up a list of recommendations to help you do well in the UPSC Mains Maths Optional subject.
Increase Your Practise Time
Practicing gets you faster at fixing issues and improves your speed and efficiency, which will help you perform well on tests.
Avoid Silly Mistakes
Even one erroneous sign or number might cost you a lot of money. To prevent making such foolish blunders, keep cool and concentrated while answering questions. However, a lot of practise will help you prevent such errors. Also, immediately before the exam ends, set aside some time for revision so you may double-check your answers and make any necessary revisions.
Along with the appropriate solution, presentation is quite important. As a result, write the answer in a neat and orderly manner. Do not rush through any key steps or write the solution clumsily.
Do Not Cram Maths
Maths is a logical topic, therefore don’t try to cram answers or theorems into your head. Simply grasp the logical flow and solidify your notions; this will aid you in solving all types of questions because you will be able to use logic in tests and will not miss any critical steps in the solution.
This is something that any applicant who has Maths as a secondary subject should remember. Mathematical formulae are the foundation of the subject. Prepare a formula page with all of the formulae on it so that you can revise it at any time and from anywhere.
Hopefully, this list of UPSC maths optional books will help you prepare better for the UPSC maths optional syllabus. For more informative posts on this and UPSC maths optional question papers and other UPSC IAS exam-related informative posts, keep an eye on this page. Do share your feedback by commenting in the below box.
Check out the options subject courses on UPSC Pathshala to learn how to tackle a paper.