# UPSC Maths Optional Coaching

**UPSC Maths Optional Coaching** plays a pivotal role in simplifying the complexities of mathematical concepts and problem-solving techniques. As the UPSC examination requires a profound understanding of mathematics, enrolling in a specialized coaching program can provide you with the necessary tools to conquer this challenging subject. With experienced faculty members and a well-structured curriculum, coaching institutes offer the guidance needed to excel in the UPSC Mathematics Optional paper.

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Mathematics Optional Classes (Online/Offline)

## Why you can Choose Maths as Optional Subject

Optional papers contain 250 marks and massively impact your selection in the final merit. Therefore, one should choose their optional subject very carefully after proper research.

- Mathematics has a high scoring potential compared with other optionals. Just prepare well for the subject and write the answer correctly and you will definitely score higher marks.
- The syllabus for mathematics is static and is not linked to
**current affairs**. - Thus, once you are done with the syllabus there is no need to constantly get updated on your knowledge or revise.
- Mathematics questions are factual and not subjective or opinion based. Hence, the examiner is compelled to give you full marks if your presentation and content are up to the mark.
- Needless to say, We all have been connected to mathematics since our school life, maybe a table or simple calculation. Consequently, we are familiar with the subject that makes it an attractive optional subject for the students.
- Mathematics gives the opportunity to score sure shot marks on the subject if you have managed to solve the problem successfully but it is not possible in the case with any theory-based or analytical paper.
- As per the recent trend, mathematics has evolved as the highest scoring optional subject to increase the overall marks in General Studies Papers and improve ranking.

Who should take Mathematics as an optional subject in UPSC?

The students who have studied Mathematics as core subject in their graduation, should take Maths as the optional in UPSC. To be more specific the students who have studied B.Tech, B.Sc-Mathematics, B.A-Mathematics or any other course in which mathematics is the core subject, can take Mathematics as optional in UPSC Civil Services Exam.

Besides this, student should have some extra attributes as :-

- Student should be highly passionate and extremely devoted to subject.
- Eager to learn new concepts and technicalities.
- Ready to diversify his/her potential as per the demand of UPSC Exam.
- Ready to learn the vast applications of Mathematics in the society and his career not just as a learner but as an applicant also.

## Mathematics Optional Vs Other Optional

Mathematics is the only optional subject which allowed the students to achieve 375 marks in the past while no student could get such marks in other optional subject. Out of 25 students, atleast one student has Mathematics as optional subject. The popularity of Mathematics optional is increasing day by day.

Besides this, Mathematics as an optional has many advantages over other optional as:-

- Most advantageous and highest scoring till date.
- No cramming like other optional subjects.
- Only conceptual understanding as per the demand of UPSC-CSE.
- Easy to understand and self innovative subject.
- Availability of lots of resources.
- Best expert guidance.

## Mathematics Optional Syllabus

**Mathematics Paper – 1**

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

**Paper – 1**__Sec-A__: Linear Algebra, Calculus, Analytic Geometry__Sec-B__: Ordinary Differential Equations, Dynamics & Statics, Vector Analysis

**Mathematics Paper – 2**

- Algebra
- Real analysis
- Complex analysis
- Linear programming
- Partial differential equations
- Numerical Analysis and Computer programming
- Mechanics and Fluid Dynamics.

**Paper – 2**__Sec-A__:**Algebra, Real Analysis, Complex Analysis, Linear Programming,**__Sec-B__:**Partial differential equations, Numerical Analysis and Computer programming, Mechanics and Fluid Dynamics**

Maths Optional Trending Topics in past 7 years asked in UPSC

## Booklist for Mathematics optional

The syllabus of Maths Optional for Paper I is advanced so you must have the** ****best UPSC Maths optional books** that will help you to prepare for this section. This paper covers topics like Linear Algebra, Analytic Geometry, Calculus, Vector Analysis, Dynamics and Statics.

**Books for Paper I**

- Linear Algebra- K.C. Prasad, K.B. Dutta
- Analytic Geometry- Shanti Narayan, DK Jha, HC Sinha
- Differential calculus- PK Mittal, Shanti Narayan
- Dynamics and Statics- M Ray
- Differential Equations- Golden series- NP Bali
- Vector Analysis- PK Mittal, Shanti Narayan

**Books for Paper II**

**UPSC Maths optional paper** II consists of a wide range of topics such as Algebra, Real Analysis, Linear Programming, Partial Differential Equations, Mechanics and Fluid Dynamics.

The books mentioned below would give you crisp information about these topics.

- Textbook of Coordinate Geometry – Rai Ballabh
- Analytical Solid Geometry – Shanti Narayanan, PK Mittal
- Modern Algebra – A. R. Vashistha
- Differential Equations – Schaum Series (Frank Ayres)
- Operations Research – Kanti Swarup, PK Gupta, Man Mohan
- Statistical Mechanism – Carson Horg
- Schaum’s Outline of Matrices – Frank Ayres
- Matrices – A R Vashistha
- Coordinate Geometry – R. L. Soni
- Mathematics Dictionary – RC James
- Algebra – J. N. Sharma and S. N. Goyal
- Problems in Calculus of One Variable – I. A. Maron
- Text Book on Differential Calculus – Gorakh Prasad
- Linear Algebra – Finite Dimension Vector Spaces – Sharma and Vashishta

Moreover, there are some reference books apart from the Maths books mentioned above, you can also add them. Don’t pick multiple books at one time to cover one topic.

- Linear Algebra – Finite Dimension Vector Spaces – Sharma and Vashishta
- Schaum’s Outline of Matrices – Frank Ayres
- Problems in Calculus of One Variable – I. A. Maron
- Coordinate Geometry – R. L. Soni
- Matrices – A R Vashistha
- Modern Algebra – A. R. Vashistha
- Differential Equations – Schaum Series (Frank Ayres)
- Textbook of Coordinate Geometry – Rai Ballabh
- Statistical Mechanism – Carson Horg
- Analytical Solid Geometry – Shanti Narayanan, PK Mittal
- Text Book on Differential Calculus – Gorakh Prasad
- Operations Research – Kanti Swarup, PK Gupta, Man Mohan
- Algebra – J. N. Sharma and S. N. Goya
- Mathematics Dictionary – RC James

### Frequently Asked Question (FAQ's)

Well, it is only a myth. Any candidate can crack the UPSC exam with Maths optional with timely preparation and proper guidance. The candidates who have an interest in Maths, opt for it. Mathematics optional is more subjective and requires a little bit of cramming. Engineering students can cover the entire syllabus in college itself by choosing Maths department electives.

If you are able to attempt the majority of questions, you will surely score much more than other optional subjects like History, Anthropology and Sociology.

Candidates should focus on conceptual clarity and hard work through consistent practice in Mathematics Paper. There is no need to memorize much, making it a preferred choice for optional among the students.

You can ignore proofs in ODE, PDE and Real Life Analysis but they should be done in some topics like Linear Algebra. However, if time allows you should cover each and every topic of the syllabus.

Focus on preparing well and you will definitely score more than 300 + easily. Don’t think about scaling too much.

Dedication, hard work and proper guidance are needed to clear the IAS examination. If you know the demand of the UPSC exam or you have someone to guide you and discuss queries then no need to join any coaching institute but if you don’t have this luxury you should join a coaching institute.

It plays a vital role in the preparation and provides the proper mentorship which is required to clear the examination.

It will take approx. 6 months to cover the entire syllabus if you are investing 5 to 6 hours every day.

If you are planning to cover the entire syllabus within 6 months then you might have to study 5 to 6 hours every day depending on your target.

Solving the previous year’s question papers is a must. It will help to understand the syllabus in a much better way.

Joining the test series is a must and if you have not joined any coaching institute then at least join the test series. It will keep your brain sharp and preparation on track throughout the year. Regular evaluation will help you in identifying your strengths and weaknesses as well.

All scientific non-programmable computers are allowed in the UPSC exam hall.

Candidates who have studied Mathematics at their PG or UG level. They will find the UPSC Maths syllabus easier than other ones but for those who have not studied Mathematics their graduation may face difficulties in dealing with this subject.

No, they are not the same. The CSAT syllabus includes reasoning and analytical sections while the Maths syllabus covers topics that are pure mathematics. So, they are different from each other.

UPSC mains exam includes a total of 48 optional subjects and Maths is one of them, popular as well as scoring.

The mathematics syllabus includes topics like Calculus, Algebra, Vector Analysis, Partial Differential Equations etc.

You can fetch good marks in Mathematics as every question has an absolute answer.

Mathematics is a concept-focused subject and you can easily cover the whole syllabus in 6 months.

Follow a systematic approach, time management, tricks and the right study plan. Also, practice questions as much as possible.