Mathematics Optional

Tips to Prepare for UPSC Maths Optional Syllabus

UPSC has made mathematics an optional subject, so students can prepare themselves for the exam by opting for the UPSC Maths Optional syllabus. The syllabus for UPSC exams consists of two papers Paper-I have 6 modules and Paper-II have 7 modules. for example like ordinary differential equations is Paper-I topic and partial differential equations Paper-II topic. As maths helps students develop analytical and problem-solving skills, it is a good choice for UPSC exams. Listed below are some of the tips to prepare for the UPSC maths optional paper.

Practice is the key to success in UPSC exams. Practicing problems is crucial to improve accuracy and speed. Mathematics is a subject with no common portion with the GS paper, so students can design a study plan accordingly. Practicing maths problems regularly will improve your speed and accuracy. To prepare for UPSC mathematics, you should spend a few hours each day at college. There are several online coaching tutorials and practice materials available but not up to the mark, so you can join Ramanasri IAS Mathematics Optional and you can download them from the linked article.

Despite the fact that maths is an optional subject, it is highly valuable. It is a subject that scores high in the UPSC exam, and a strong foundation in math will help you succeed. Moreover, it can help you navigate the uncertainty that you face in an engineering career. You can even secure a top-100 rank with a good performance in maths. So, if you are a math-enthusiast, go for mathematics! You'll be glad you did.

UPSC maths optional syllabus is packed with useful information that you need to know for the exam. While studying for the exam, it's also advisable to check previous years' question papers from 1992 to 2022 and practice mock tests of Ramanasri IAS Maths Optional Test Series for Mains 2022-2023. Practicing the topics thoroughly will help you to avoid silly mistakes and increase your confidence. And as the exam draws closer, you should keep practicing to crack the questions. And finally, never stop practicing. Your goal is to get the highest possible score in UPSC mathematics exam.

UPSC maths syllabus is well-balanced. There's equal emphasis on theorems and proofs portion and the application part. The proofs part makes up about 20-30% of every paper. Therefore, if you want to excel in mathematics, you should prepare for this section thoroughly and learn from your mistakes. Practice makes perfect, so do not forget to revise! Then, the UPSC exam will go easy on you.

Maths is a logical subject. So, instead of trying to memorize every subject, you should build strong concepts. This way, you will be able to apply your logic and reasoning throughout the examination. The backbone of maths is the formulae. You should make formula sheets to revise them whenever needed. And most importantly, learn to use these formulas! That's the key to success!

As for the CSE exam, Mathematics is considered a high-scoring subject. Students who prefer Mathematics as an optional subject should be self-motivated and diligent. Those who excel in the subject can expect to receive good marks. However, it's important to be clear that the examination is individual. There are very few true friends who will encourage you to take this exam. You'll need to be certain of a few conditions before you can get the certificate. 

If you are looking for tips to pass UPSC mathematics optional, you have come to the right place. While the syllabus is a complete guide to the exam, previous years' question papers are also an important part of maths optional for UPSC preparation. Mock tests are a great way to test your knowledge. The key to scoring well in maths is logical flow in questions. Practicing as much as you can will help you get the best possible score.

You can find the UPSC mathematics optional syllabus at the website linked below. It covers years 2009 to 2021. To prepare yourself, you can read previous years' question papers and solve the questions from them. You should also read up on the latest trends and take mock tests to assess your understanding of concepts. If you feel that you need further guidance, you can seek the help of a mentor. Make sure to practice as many questions as you can.

IFoS/IFS has two optional subjects but UPSC/IAS/CSE-Civil Services Mains Exams has only one optional subject. These subjects are both papers worth 250 marks and total up to 500 marks. Hence, if you know mathematics very well, opt for it. You should also have a basic grasp of mathematics to succeed in the exams. A good knowledge of mathematics can help you to secure the highest scores possible in UPSC. The syllabus is vast and requires sufficient time to prepare for. It is, however, a worthwhile choice for aspiring students who are interested in the subject.

During the UPSC Mathematics optional examination, you must be familiar with concepts such as linear equations, algebraic expressions, and complex numbers. The exam also includes questions based on standard textbooks, which most graduates can handle with little difficulty. For the UPSC mathematics optional exam, you should also know that you must read good books and understand the concepts before appearing for the test. We will also talk about the syllabus and recommended books for each topic.

While UPSC has made many important decisions regarding the syllabus, the maths optional subject is often the one that is most coveted by students. This is because maths is not an easy subject to learn but is so indispensable that it has even created completely new mathematical disciplines. Many mathematicians start off by studying pure mathematics without any practical purpose in mind. Later, they discover practical applications of their work. And maths can help you navigate through any uncertainty you might encounter on the exam.

The mathematics optional is not as competitive as the other subjects. Historically, the maths subject has consistently produced good ranks. In fact, the highest scorer in maths was Anubhav Singh. However, the syllabus for maths is very static and does not have much to do with current affairs, so it is advisable to focus on preparing it if you have some previous knowledge. In the end, maths questions are factual and not subjective.

Ramanasri IAS has been providing the top best Online Maths Optional for UPSC Coaching & Pen Drive Maths Optional Course, Regular Class Room Batches, Weekend Class Room Mathematics Optional Coaching for IAS, UPSC, IFoS, Civil Services Mains Examinations. Interested serious aspirants, please join now. For more details, you can call or WhatsApp us. 

Tips and Strategies For UPSC Maths Optional

If you want to get good marks in UPSC maths optional, you should study hard. Try to solve problems as much as possible. Do not just copy solutions; instead, try to come up with creative solutions for each question. Only through practice can you learn how to approach problems and get better marks. In this article, we will discuss some tips and strategies for UPSC maths optional. Read on to learn more! And good luck!

A simple approach for success in Mathematics: First of all, the syllabus is short. but majority of failures think it is length and vast and even coaching centers also makes lengthy. It can be covered within 6 months, whereas social sciences are difficult to gauge. The questions in maths are predictable and straightforward. And all the previous years questions from standard books only. So, you can expect a good score in your exams. For more information, check out the UPSC Maths Optional Syllabus. There are many important things to remember when studying maths. You must make sure to read all of the Maths Optional Syllabus and prepare well.

Get the right coaching institute. Ramanasri IAS is an institute known for providing top-notch coaching in mathematics optional for the IAS exam. The faculty of Ramanasri IAS is experienced and professional. You can attend few lectures then you really enjoy maths optional subject with Ramanasri Sir. Sir will make tough modules like Modern Algebra, Real Analysis, Statics and Dynamics, Mechanics and Fluid Dynamics and Analytical Geometry. It provides excellent guidance and strategies to students for getting the right score. here maths optional teacher, Ramanasri sir, is renowned for his innovative teaching techniques. His classes in Delhi have helped many students succeed in the maths optional section.

How to prepare Mathematics optional?

If you want to appear in the UPSC exams, you may be curious about how to prepare for UPSC maths optional. If you are looking for a way to prepare for the UPSC mathematics exam, you should follow the tips given in this article. It is very important to study for the UPSC mathematics optional exam to get an edge over other candidates. Moreover, you should focus on the essentials and be current with the trends of the examination.

A UPSC maths optional syllabus can be found on the official website It contains previous year's question papers from 2009 to 2022. After studying the syllabus, you must take mock tests and full-length papers from Ramanasri UPSC Maths Optional Coaching to practice. Ramanasri Maths Optional Mock tests are very important to check your understanding of concepts. The best way to prepare for the UPSC maths optional paper is to take as many mock tests as possible. It is a good idea to practice for the exam to assess your capabilities.

If you're planning to sit for UPSC mathematics optional, it's best to prepare for it at an early age. The syllabus is very important and covers all the subjects that will be covered in the exam. Practice solving multiple-choice questions as much as possible. You can also refer to previous year's papers for the same topic to check whether you know the concepts. By doing this, you will be able to answer questions quickly and accurately.

UPSC mathematics optional syllabus includes subjects like Analytical Geometry, Linear Algebra with matrices, Calculus, Ordinary and Partial Differential Equations, Complex Analysis, Vector Analysis, and Applied & Mathematical Physics. If you are preparing for the UPSC maths optional exam, make sure you understand the syllabus and study the material thoroughly. You will feel confident that you'll do well in the exam.

UPSC maths optional syllabus is very comprehensive and includes topics such as real analysis, ordinary differential equation, and analytical geometry. Maths Optional is worth attempting if you're interested in improving your problem-solving and analytical skills. If you're considering taking maths as an optional subject, make sure you have some background in the field. If you don't, you may want to opt for another subject. Maths is a very useful subject in the UPSC exam, so don't be afraid to try it out.

As you can see, UPSC Mathematics is not easy to ace. There are various tips you can use to succeed in the exam. Practice is the key to score well in the exam. If you're interested in preparing for the UPSC Mathematics optional, you can look into Ramanasri Maths Optional study materials. If you are not yet convinced, try the books by all well-known and renowed authors. They are excellent resources for the 2022-2023 Mathematics paper.

You can also consider taking up an online or offline UPSC maths optional coaching course. Ramanasri IAS offers online and offline UPSC maths optional coaching classes. You can enroll in a weekend batch or sign up for a pen drive maths optional course. You can also get online tutoring to practice maths with your computer. These two options will help you prepare for the UPSC maths optional exam.

Practice Practice Practice Formula (PPP Formula). 

Practice as much as you can. Take a particular concept of the subject and practice a different set of questions of the concept. This will make your concepts clearer and better. For every concept, try out different possible solutions to solve the question and rectify every kind of doubt in a particular question.

  1. Try to avoid small and silly mistakes.

Sometimes in exams, students are so busy that they tend to commit many silly mistakes. Maths is all about numbers, so while solving questions, many students note down wrong figures of the questions, which lead to the wrong answer, and hence students lose marks on the paper. Try to avoid doing such mistakes in the exam and read every question carefully before giving any answer.

  1. Answers (Solutions) in a proper manner

Many of the students know the answer during the time of the exam. But still are not able to score good marks in the exam. This is because they don't answer the questions properly, due to which marks are deducted. So to score good marks, it's better to answer each question and present it adequately.

  1. Don't panic and be relaxed.

The best thing to do during preparation is to be relaxed and prepare with peace in mind. Being panic and stressed will not help in scoring good marks. If you prepare with stress and panic, it will hinder your preparation, and you may tend to lose marks in the exam.

So, it's better to stay calm and relaxed and preparing without any stress. This will boost your score and result in better marks in the exam.

  1. Go through the entire Maths Optional Syllabus.

Before beginning the preparation, go through the syllabus well. Understand the syllabus to know what is asked in the exams. If you the syllabus well, it gives you a clear understanding of what could be asked in the exam. Also, it helps to know which all topics to be studied.

Marks distribution is another aspect about which a student should know well. Through this, one can categorize topics that carry the highest weightage and those that don't have high weightage. This helps in proper planning for the main exam.

  1. Choose the right preparatory books.

There are books available in abundance in the market. This bulk of books tends to confuse the candidates as to which one to opt for better understanding. This creates chaos in the mind of the candidates and results in sheer wastage of time and energy.

So, it's always better to select some books out of many books available in the market and stick to them for the preparation. Clear your concepts and study in-depth about a particular topic until you become well versed with it. Also, don't solely rely on one book. Try to explore other books as well if your topic is not cleared by one book. This doesn't imply to refer ten books just for one topic. Try to be selective in your choice when it comes to books and study material.

  1. Practice Previous (past) year papers

Practising past year papers is one of the most vital factors involved in the preparation. If you practice past year papers, you can have an idea of what has been asked in the previous exam. And what are the important topics through which most of the questions arises in the exam? This helps to plan your preparation in a better way and study properly. If you are well versed with previous exam papers, then you get an insight into what is most important from the exam point of view and accordingly, you can solve and practice questions for the final examination

  1. Making Short notes

Most of the books available are too huge and thick that day before the exam. A candidate cannot solely study from it. So, it's always better to make notes out of the available books and study materials.

Writing down 1000pages into a summary of 100pages helps in a quick revision. This exercise of making notes also saves a lot of time and energy. At the end of the notes, you make something that will help you in exam preparation.

  1.  Time management

Most of the students are unable to manage their time during the exam. This happens because a candidate often spends much time thinking about an answer to particular questions, which leads to much wastage of time. Instead of this, one needs to specify and allocate proper time to every question.

It will help to finish the paper on time. Also, time management is important to avoid any last-minute hassle. When less time is left, and there are more questions left to be answered, then many times, a candidate marks a wrong answer even if they know the correct answer.

  1.  Revision of important topics

It is very important to study the whole syllabus twice and thrice thoroughly. And then keep on revising it as many times as possible. Revision helps to absorb things in a better way. It helps to keep the whole of the syllabus in our brain for a longer duration.

If a student keeps on learning and doesn't revise what he has studied, he tends to forget the thing on the day of the exam. This is because what he/studies didn't ever get registered in his brain. Thus, revision is the key factor to restore things in the brain

UPSC Maths Optional Video Lectures Telegram

If you're looking for an upsc maths optional video lecture telegram, there are several benefits to subscribing to one. For one, you can get a lot of helpful preparation content that's delivered in sequence, with heading details clearly defined. Furthermore, you can get pin-point accuracy when finding topics related to the exam. The material you receive can also be a great time-saver, as you can avoid buying expensive books that may not help you.

Another benefit of UPSC maths optional video lectures is that they focus on the syllabus for the exam. Since this subject is covered in the civil services exam, students must be well versed with the topics covered in class 12. However, this is not enough for UPSC Mains Maths Optional, as the subject has to be studied at the graduation level. Hence, students should develop a passion for maths to make it through the exams. Without the proper passion, they will find it difficult to develop concepts and practice them.

UPSC Maths optional video lectures are available on the internet as well. You can choose one from the many providers. If you don't have time to devote to a full-time instructor Ramanasri Sir, there are several other ways to get the material that you need. Using UPSC maths optional video lectures can be an excellent option for students - and you don't need to have a degree in mathematics to benefit from them.

There are also dozens of channels and groups on Telegram for test-takers. Ramanasri IAS have all earned huge amounts of mindshare in the metros. These channels are hyper-focused, allowing members to get the material in the comfort of their home. And you can even get live help from other students. With all these benefits, you can feel confident about passing the exam.

While Telegram isn't disrupting the online learning market in India, there are a lot of test prep channels and groups available on the service. It's no surprise that EdTech startups are flocking to Telegram, as the messaging platform offers a huge opportunity to reach a larger audience. The platform is also huge for sharing entertainment content worldwide, and channels dedicated to entertainment have millions of subscribers. But beware: Telegram can be a hotbed of pirated content.

UPSC Maths Optional Video Lectures

UPSC mathematics optional video lectures can help you clear the exam. By studying these videos, you will be able to understand formulas and concepts better. You should also take notes while you are watching the lectures. Moreover, it is highly recommended to review previous year's exam papers so you can easily spot the topics you find difficult. Moreover, you should also make sure to read relevant parts of the study material in order to master the concepts better.

For preparing for the UPSC mathematics optional exam, you can use our Ramanasri resources available online order. The syllabus of the exam contains the topics you should study. Mock tests can help you gauge your level of understanding of each topic. Moreover, try to focus on the logical flow of questions. By using these resources, you can easily crack the exam. You can also take the test to evaluate your knowledge and preparation.

UPSC maths optional syllabus includes two papers: ordinary differential equation and real analysis. These papers carry 250 marks each. Obviously, you should not expect high scores in these subjects. However, these courses will help you improve your analytical and problem-solving skills. So, make sure you download them as soon as possible from our websites. They will save your time and money. This way, you can focus on the subjects that are most important to you.

UPSC Maths Optional Video Lectures Free Download

If you haven't downloaded UPSC maths optional video lectures, you are missing out on a great opportunity! Here are a few tips to prepare for the exam:

UPSC mathematics optional papers are generally more difficult than regular exams. In general, UPSC expects high math scores. The approach you take in solving questions can make all the difference. Always present your answer step by step, as this is an important way to ensure that you get a high score. This subject is not subjective, so it is essential to practice the questions and focus on the logical flow of questions.

UPSC maths optional video lectures help you learn the subject better than you could on your own. These videos help you understand the concepts and principles involved in the subject, so that you can prepare effectively for the exam. A good math graduate should also have a passion for mathematics, as the questions can be challenging even if you have no prior knowledge of it. Maths optional video lectures can help you prepare for this exam by explaining concepts and solving real-life problems.

UPSC maths syllabus is well-balanced, with a focus on theorems and proofs and a lower emphasis on the application part. It is recommended to practice as many math questions as possible, as these help increase speed and accuracy. Remember, you can always take revision tests to help you improve your score, but practice is always better than perfection. With these tips, you'll be well on your way to a great score!

Upsc Maths Optional Lectures in English

If you are looking for an upsc maths optional lecture in English, you are at the right place. Here is a brief description of the syllabus. The UPSC syllabus is well balanced between the application and theorems sections. In addition, the proofs part makes up about 3 percent of the entire paper. It is important for students to understand the theory, write it in a logical manner, and be able to answer questions from the question paper based on this theory. The syllabus also breaks up the questions so that the chances of an error are minimized.

The best way to prepare for the UPSC mathematics optional exam is to study previous years' exam papers. This will help you find out which topics are tricky. It is also a good idea to read relevant parts of study material and take notes on concepts that you find confusing. This will help you understand concepts better. As a last resort, you can ask a mentor Ramanasri Sir to review your answers. Remember to concentrate on the important concepts and avoid the complicated topics.

While the Ramanasri Institute of Mathematics optional is a good option for civil services aspirants, it is not a good option for the general student. It may be worth a try if you don't plan to take the UPSC exam seriously. If you can't stand the subject, you may want to take up another subject - English language. The UPSC maths optional lectures are very useful. There are various videos available for you to watch, and you can also ask your friends for advice on how to study.

The syllabus for the UPSC mathematics optional consists of two papers: Paper-I and Paper-II consists 13 modules. Paper-I modules are from Linear Algebra, Calculus, Analytical Geometry, Ordinary Differential Equations, Vector Analysis, and to Dynamics & Statics. Paper-II modules are from Modern Algebra, Real Analysis, Complex Analysis, Linear Programming, Partial Differential Equations, Numerical Analysis & Computer Programming and to Mechanics & Fluid Dynamics. These papers carry 250 marks each. You won't be able to score a very high grade in the exam unless you take additional revision classes or study for it. This is where the maths optional syllabus comes in handy. It will help you improve your problem solving and analytical skills. So, while you're preparing for the UPSC exam, be sure to study the mathematics syllabus thoroughly and practice.

How to Ace Upsc Maths Optional Lectures

Upsc Maths Optional Lectures can help you ace the exam if you're planning to take it. This subject is a little more theoretical and involves modern algebra, linear algebra without matrices, and real analysis concepts. However, a large part of mathematics falls under the category of applied mathematics, and this branch of the subject is the most interesting for students who don't score highly on the GS exam.

It is crucial to revise constantly to ace the UPSC maths optional exam. You can try to study previous years' question papers to get an idea of the topics that are likely to be difficult to clear. Moreover, you can also consult your mentor Ramanasri Sir to get some insights about certain concepts or formulas. In the case of maths, it's helpful to take notes on the concepts that you're struggling with.

UPSC Maths Optional syllabus consists of two papers - Paper-I and Paper-II. These two papers carry around 250 marks each. To ace this subject, you must attend extra classes and study at home. A high score in mathematics will improve your UPSC exam rank. In addition to boosting your score, mathematics helps you develop analytical and problem-solving skills. If you don't like maths, don't take this subject.

If you're an engineering graduate, you have probably covered about 60% of the syllabus. However, you could study the remaining 60% in college and add maths electives. Despite its popularity, mathematics will never go out of style. Knowing how to answer questions in a systematic manner will help you predict your score. The key is to prepare for the UPSC maths optional lectures. When you have enough knowledge of how to solve problems in a systematic way, you can ace the exam.

If you think you don't have what it takes to pass this exam, try taking up maths. It's an excellent choice for many reasons. You'll be glad you did. It's a subject that's easy to understand and learn. Maths is a basic requirement of the real world life, and you'll be able to apply the concepts learned to solve problems. You'll be surprised at how much maths is used in our lives.

How to get 350+marks in Maths Optional Courses in UPSC Mains Exams

If you are planning to take a UPSC examination this year, you may want to consider opting for maths optional courses. There are a few advantages of this option. Although it is not as popular as humanities, applicants will face less competition because the syllabus is static and doesn't have any current affairs. Therefore, you won't have to worry about the subject's syllabus being irrelevant. You only have to revise the course material to pass it.

For UPSC mathematics optional exam, you need to be familiar with the syllabus. To prepare for the exam, you can study previous years' exam papers. You can also take mock tests to practice the concepts you will learn in class. Don't memorize the formulas; instead, try to build a logical flow in the questions. Moreover, you can also make notes on the concepts. It's better to learn them by solving mock tests and practicing them with practice.

You can also take Maths Optional courses if you have aptitude in maths. Candidates with good Maths scores would easily make the Top 3 optional courses list in the UPSC exam. It would also help you navigate the uncertain world of UPSC exams. If you are confident in Mathematics, you might even land a top 100 rank if you perform well in the exam. So, don't delay and choose Mathematics as an optional subject.

UPSC Mathematics Optional Lectures

UPSC Mathematics Optional Lectures are an excellent way to learn the fundamentals of mathematics. These lectures are offered in many different formats and are highly beneficial to students with limited study time. The content of these lectures is clearly defined, and the heading details are easily found in the video lectures. You don't have to worry about missing any lectures, as you can watch them as often. In addition, these lectures are less expensive than traditional textbooks and will save you the trouble of buying costly books.

The syllabus of UPSC Mathematics Optional Lectures is divided into two main parts: theorems and applications. The latter makes up about three per cent of the total paper, and it is essential to understand the theory. This is why the syllabus is divided into sections and contains problems to help students understand it better.

The UPSC Mathematics Optional Lectures syllabus is similar to other optional subjects in UPSC. This means that the focus is on concepts and thorough revision. In addition, students should develop a passion for math to ace this exam. The mathematics Optional Lectures are a great way to increase the likelihood of passing the exam.

UPSC Mathematics Optional Papers are typically more difficult than regular exams. However, you can increase your chances of passing with high marks by preparing for the exams as early as possible. While math is not a subjective subject, the way you approach solving questions will make a big difference in your score. Try to show your answers in a logical order.

UPSC Mathematics Optional Lectures cover Calculus, Analytical Geometry, Linear Algebra with matrices, and Ordinary and Partial Differential Equations. This course will also cover topics in Complex Analysis and Vector Analysis. It will help you sharpen analytical and problem-solving skills and can even be helpful if you need to learn math.

If you're looking for the best ways to prepare for the mathematics component of the civil services mains exam, mathematics is a great choice. The syllabus for this optional includes many topics, so it's crucial to select the one that's right for you. Mathematical concepts are fundamental to everyday life. You can apply them to solve various problems in the real world.

You'll need to practice much to do well on the UPSC Mathematics Optional Exam. Study the syllabus and previous exam papers to understand the difficulty of the topic. Also, practice solving mock tests and taking notes of complex concepts. This will help you learn the concepts and formulas.

UPSC Mathematics Optional Lectures

If you are a student preparing for UPSC exams and are looking for some extra study material, UPSC mathematics optional lectures are a great option. This course covers two papers - Paper-I and Paper-II - each with 250 marks. While the optional course is not a guarantee of a high score, it will help you improve your analytical skills and problem-solving abilities. Moreover, it will give you a broad perspective of the subjects and give you a better understanding of the concepts.

Maths Optional Video lectures

If you are a student and are preparing for the UPSC mathematics optional exam, you can watch video lectures to understand the concepts better and prepare yourself for the exam. The topic of maths is quite difficult and it is essential to have a passion for it. UPSC maths optional video lectures will teach you the concepts in an easy-to-understand way and will also help you solve real-world problems.

Videos can be a great way to get through the mathematics syllabus and increase your score. The UPSC mathematics optional syllabus has two papers with 250 marks each. To clear these papers, you need to study well and take notes. It is also helpful to go through previous years' exam papers to identify topics you are having problems with.


The UPSC Mathematics Optional Paper consists of 500 marks in total and consists of two papers. While practicing the topics is crucial for a good score, it is also crucial to read good books that cover the fundamental concepts. This article offers topic-wise preparation tips and a list of recommended books for each topic.

Before starting your UPSC Mathematics Optional lectures, it is crucial to familiarize yourself with the syllabus. This syllabus will cover all the topics that may appear on the examination. In addition, you can practice a mock test to see if you have mastered the topics. It is also advisable to practice as many multiple-choice questions as you can.

Mathematics Optional Practice papers

While preparing for the UPSC mathematics optional lecture examination, it is crucial to keep in mind that the papers are usually more difficult than the regular exams. The UPSC expects students to be proficient in maths, and therefore preparing for the examination with an emphasis on problem-solving and logical flow is vital. Fortunately, there are a number of resources available to help you succeed on the exam.

Video lectures are also an excellent way to prepare for the exam. These tutorials will teach you the concepts and formulas that will be on the exam. They also allow you to study past exam papers to build up your analytical and problem-solving skills.

Tips to revise maths optional

If you want to score high in UPSC Mathematics Optional Lectures, you need to revise your syllabus thoroughly. For effective revision, allocate a fixed time for revision and practice mock tests and full-length papers from previous years. You should also be systematic while writing answers. Study the answer scripts of toppers and take feedback from your mentors. Try to avoid cramming your maths and focus on building a logical flow of questions.

There are two main types of questions in UPSC Mathematics Optional Lectures. The first type of questions involves figuring out a solution to a problem. The second type of question is based on an equation. It is important to know how to find the solutions to problems based on a mathematical equation.

How to Prepare For the UPSC Mathematics Optional Lectures

The UPSC mathematics optional lectures will help you understand the concepts and formulas better. It will also help you prepare for the exam. After watching the UPSC mathematics optional lectures, you should follow up by studying from relevant study material and taking notes. This will help you identify the topics that are difficult to understand.

The syllabus of the UPSC mathematics optional lectures will cover topics like Linear Algebra, Modern Algebra, Real analysis, Analytical Geometry, mechanics, fluid dynamics, dynamics, statics, computer programming, numerical analysis, complex analysis, linear programming, vector analysis, calculus, ordinary and partial differential equation etc. The syllabus has two papers ranging from 250 marks each. Even though this syllabus is difficult, it is very useful in developing your analytical skills and problem-solving skills. It will also help you concentrate on your other subjects better.

In order to get the best score on the UPSC mathematics optional exam, you need to prepare properly. This means reading the syllabus and previous years' exam papers. You should also solve mock tests and take notes on confusing concepts. By practicing, you will be able to understand the concepts better. Moreover, you should not just memorize formulas but also focus on building a logical flow in your questions.

Although mathematics is not a very easy subject to learn, it is still one of the most important subjects that students study in college. This subject is important because it has many practical applications that can help you with your exam. Even if you've taken a general mathematics course, you should consider taking mathematics as an optional subject to boost your chances of success.

The UPSC mathematics optional exam has questions based on standard textbooks, which means that you should prepare yourself for the questions. Most graduates can handle this exam, but it is still important to prepare well. To do this, you need to study good books and understand concepts. You can also consult your mentor for a more effective preparation.

If you want to be a civil services aspirant, you may want to consider taking UPSC mathematics optional lectures from Ramanasri Institute. These classes are available online and offline. Besides the online classes, you can also consider taking up a pen drive maths optional course.

You need to understand the basic concepts of maths in order to score well in the exam. Therefore, you should read the entire syllabus thoroughly and understand the different categories. It's also a good idea to prepare a formula sheet. It helps you categorize the different topics and understand the marks distribution.

UPSC Mathematics Optional Lectures

If you have not yet decided to take UPSC Mathematics Optional Lectures, here is some useful advice for you. Although the subject is long and difficult, it is a well-balanced option for those who are science graduates. However, you should be aware that you may have to attend extra classes in order to pass the subject.

Maths is a scoring optional subject in UPSC

Maths is a scoring optional subject in the UPSC examinations. The syllabus for this subject includes subjects such as Analytical Geometry, Linear Algebra with matrices, Calculus, Ordinary and Partial Differential Equations, Complex Analysis, Vector Analysis, Modern Algebra, Real Analysis, Analytical Geometry, Linear Programming, Computer Programming calculus and Applied & Mathematical Physics topics like dynamics, statics, fluid dynamics and mechanics. Moreover, students can also opt for a paper on real analysis. Both of these papers carry 250 marks. It is recommended to practice these subjects as much as possible. Taking mock tests is also a good idea.

If you are planning to take the UPSC exam in the near future, you must study mathematics. It is important not only to take math as an optional subject but also to pursue it in your graduation. Just studying math up to class 12th level is not enough. Math requires a special interest and discipline. Without this, students find it difficult to develop their concepts and practice them.

It is a lengthy subject

Mathematics is one of the most important subjects for UPSC examination. Students can achieve the highest score in this subject. It is a subject that requires conceptual understanding. Moreover, it is the only subject that has reached 375 marks. Therefore, a good grasp of mathematics is essential. However, students must have adequate time for preparation to score good in this subject.

UPSC mathematics syllabus has two papers - real analysis and ordinary differential equation. Both papers are 250 marks each and are designed for students to develop analytical skills. It is best for students who are looking to broaden their horizons and apply mathematics in their career. There are many offline and online resources that can help students prepare for the examination. The faculty members are passionate about teaching this subject. Furthermore, many of the courses offer English teaching.

It is a well-balanced subject

Mathematics is a well-balanced and important subject, and the UPSC exam will feature questions on all areas of mathematics. To ensure that you get good marks in the exam, practice as much as possible. The best way to prepare for mathematics is to read a lot of study material, and to take notes of the concepts and formulas that seem difficult. Take mock tests to make sure you understand the concepts well.

UPSC Mathematics has a well-balanced syllabus, with equal emphasis on theorems and applications. A good amount of the question paper is focused on understanding theory and writing logical proofs. The syllabus also breaks the questions into small parts so that they can be understood and written correctly.

It is the best option for science graduates

A candidate with a love for maths can take up mathematics as an optional subject for UPSC coaching. He should be able to devote a large amount of time to his studies and should be willing to learn new concepts and technicalities. Moreover, a candidate should be ready to explore the vast applications of mathematics in our society and career. Fortunately, there are many online and offline resources available for students. The faculty members of these institutions are highly motivated about the subject and can teach students in their mother tongue.

UPSC mathematics optional lecture videos are available in various formats, and they help you understand the subject better. The videos will help you solve real-world problems and help you make sense of concepts. These videos will help you learn more about the subject and prepare for the exam.

About Mathematics Optional: 

Mathematics Optional is one of the Best Optional Subjects in IAS, UPSC, IFS, IFoS, CSE-Civil Service Mains Examinations. It will give maximum scoring among the rest of the Optionals in the IAS Mains Optional Exams.



(1) Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimensions, Linear transformations, rank and nullity, a matrix of a linear transformation. Algebra of Matrices; Row and column reduction, Echelon form, congruence's and similarity; Rank of a matrix; Inverse of a matrix; Solution of a system of linear equations; Eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, Symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal and unitary matrices and their eigenvalues.

(2) Calculus: Real numbers, functions of a real variable, limits, continuity, differentiability, mean-value theorem, Taylor's theorem with remainders, indeterminate forms, maxima and minima, asymptotes; Curve tracing; Functions of two or three variables; Limits, continuity, partial derivatives, maxima and minima, Lagrange's method of multipliers, Jacobian. Riemann's definition of definite integrals; Indefinite integrals; Infinite and improper integral; Double and triple integrals (evaluation techniques only); Areas, surface and volumes.

(3) Analytic Geometry: Cartesian and polar coordinates in three dimensions, second-degree equations in three variables, reduction to Canonical forms; straight lines, the shortest distance between two skew lines, Plane, sphere, cone, cylinder, paraboloid, ellipsoid, hyperboloid of one and two sheets and their properties.

(4) Ordinary Differential Equations: Formulation of differential equations; Equations of the first order and first degree, integrating factor; Orthogonal trajectory; Equations of first order but not of the first degree, Clairaut's equation, singular solution. Second and higher-order linear equations with constant coefficients, complementary function, particular integral and general solution. Second-order linear equations with variable coefficients, Euler-Cauchy equation; Determination of complete solution when one solution is known using the variation of parameters. Laplace and Inverse Laplace transforms and their properties, Laplace transforms of elementary functions. Application to initial value problems for 2nd order linear equations with constant coefficients.

 (5) Dynamics and Statics: Rectilinear motion, simple harmonic motion, motion in a plane, projectiles; constrained motion; Work and energy, conservation of energy; Kepler's laws, orbits under central forces. Equilibrium of a system of particles; Work and potential energy, friction, Common catenary; Principle of virtual work; Stability of equilibrium, the equilibrium of forces in three dimensions.

(6) Vector Analysis: Scalar and vector fields, differentiation of vector field of a scalar variable; Gradient, divergence and curl in cartesian and cylindrical coordinates; Higher order derivatives; Vector identities and vector equation. Application to geometry: Curves in space, curvature and torsion; Serret-Frenet’s formulae. Gauss and Stokes' theorems, Green's identities.


(1) Algebra: Groups, subgroups, cyclic groups, cosets, Lagrange's Theorem, normal subgroups, quotient groups, homomorphism of groups, basic isomorphism theorems, permutation groups, Cayley's theorem. Rings, subrings and ideals, homomorphisms of rings; Integral domains, principal ideal domains, Euclidean domains and unique factorization domains; Fields, quotient fields.

(2) Real Analysis: Real number system as an ordered field with the least upper bound property; Sequences, the limit of a sequence, Cauchy sequence, completeness of real line; Series and its convergence, absolute and conditional convergence of series of real and complex terms, rearrangement of series. Continuity and uniform continuity of functions, properties of continuous functions on compact sets. Riemann integral, improper integrals; Fundamental theorems of integral calculus. Uniform convergence, continuity, differentiability and integrability for sequences and series of functions; Partial derivatives of functions of several (two or three) variables, maxima and minima.

(3) Complex Analysis: Analytic function, Cauchy-Riemann equations, Cauchy's theorem, Cauchy's integral formula, power series, representation of an analytic function, Taylor's series; Singularities; Laurent's series; Cauchy's residue theorem; Contour integration.

(4) Linear Programming: Linear programming problems, basic solution, basic feasible solution and optimal solution; Graphical method and simplex method of solutions; Duality. Transportation and assignment problems.

(5) Partial Differential Equations: Family of surfaces in three dimensions and formulation of partial differential equations; Solution of quasilinear partial differential equations of the first order, Cauchy's method of characteristics; Linear partial differential equations of the second order with constant coefficients, canonical form; Equation of a vibrating string, heat equation, Laplace equation and their solutions.

(6) Numerical Analysis and Computer Programming: Numerical methods: Solution of algebraic and transcendental equations of one variable by bisection, Regula- Falsi and Newton-Raphson methods, solution of a system of linear equations by Gaussian elimination and Gauss-Jordan (direct), Gauss-Seidel (iterative) methods. Newton's (forward and backwards) and interpolation, Lagrange's interpolation. Numerical integration: Trapezoidal rule, Simpson's rule, Gaussian quadrature formula. Numerical solution of ordinary differential equations: Euler and Runge Kutta methods. Computer Programming: Binary system; Arithmetic and logical operations on numbers; Octal and Hexadecimal systems; Conversion to and from decimal systems; Algebra of binary numbers. Elements of computer systems and concept of memory; Basic logic gates and truth tables, Boolean algebra, normal forms. Representation of unsigned integers, signed integers and reals, double precision reals and long integers. Algorithms and flow charts for solving numerical analysis problems.

(7) Mechanics and Fluid Dynamics: Generalized coordinates; D'Alembert's principle and Lagrange's equations; Hamilton equations; Moment of inertia; Motion of rigid bodies in two dimensions. Equation of continuity; Euler's equation of motion for inviscid flow; Stream-lines, the path of a particle; Potential flow; Two-dimensional and axisymmetric motion; Sources and sinks, vortex motion; Navier-Stokes equation for a viscous fluid.

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