UPSC

Moving on from a Career in Mathematics at the Indian Institutes of Technology to UPSC is quite a complex choice based on individual interests, capability as well as long-term vision.

In fact, if your main interest is in pursuing in-depth research and specialised roles in the field of mathematics and pure passion for the subject, a Mathematics degree from IIT will provide the foundations to a potential successful future. The IITs provide an intense academic setting and many career windows, including those within academia, industry, and research for students. However, if you lean towards public service and want to devote yourself to your country's development through its administrative machinery, preparation for the UPSC exams might suit you better.

UPSC exams are very competitive and generally require an extensive knowledge of more than just the general studies and current affairs. This kind of consideration would weigh strengths and interests along with future assumed careers while trying to come up with an informed decision. 

Best book for history preparation for UPSC would differ in various phases of preparation.

One will recommend "India's ancient past" by R.S. Sharma regarding ancient Indian history. History of Medieval India casts a light on medieval history and for modern Indian history, "India's Struggle for Independence" by Bipan Chandra speaks volumes about it.

NCERT History Books from classes 6 to 12, in my opinion, are a necessary ground for any type of preparation. These not only bring factual content, but also concept clarity, which is extremely important for writing analytical answers in the mains. They will really help with an excellent combination of practicing with previous year's questions improving considerably your historical understanding and writing skills with reference to the UPSC exam.

Considering your preparation for the UPSC and your expertise in economics, political science, and history, think about pursuing a professional course or postgraduate degree that will support your UPSC objectives and provide a solid fallback career

Public Administration Masters degree (MPA): This degree, which covers administration, public policy and governance closely resembles the UPSC curriculum. It also provides access to positions in policy think tanks, NGOs and government agencies.
A master's degree in the political Science or international relations helps you to prepare for the UPSC by deepening your knowledge of political theory international relations and the Indian politics.
LLB (Law): Offers legal expertise pertinent to administrative services and is a strong alternative for a career.
Leadership abilities and alternate job pathways in the policymaking and development are provided by an MBA in Public Policy or Rural Management

Several undergraduate colleges in India offer integrated programs that prepare students for UPSC (Union Public Service Commission) exams alongside their regular academic curriculum. These programs are designed to equip students with knowledge and skills to pursue a career in civil services while completing their graduation. Here are some colleges and institutions that offer such integrated programs:

1. Jamia Millia Islamia (JMI), New Delhi:

   • JMI offers a BA (Hons.) Political Science course integrated with UPSC preparation. The university also has a dedicated Civil Services Coaching Centre to support students.

2. Banaras Hindu University (BHU), Varanasi:

   • BHU offers various undergraduate courses, such as BA (Hons.) in Political Science and History, integrated with civil services preparation.

3. Guru Gobind Singh Indraprastha University (GGSIPU), New Delhi:

   • Some affiliated colleges under GGSIPU offer integrated courses for civil services preparation, including BA (Hons.) Political Science with specialised coaching for UPSC exams.

4. Dr. Ram Manohar Lohia National Law University, Lucknow:

   • The university offers an integrated programme in law (BA LLB) with civil services coaching, helping students prepare for UPSC exams while studying law.

5. Delhi University (DU), New Delhi:

   • DU colleges such as St. Stephen's College and Hindu College offer BA programs in Political Science, History, and Economics, with optional coaching for civil services aspirants. Some colleges also organize regular UPSC coaching programs.

6. Aligarh Muslim University (AMU), Aligarh:

   • AMU offers undergraduate courses like BA (Hons.) Political Science and History, with a focus on preparing students for competitive exams, including UPSC.

7. University of Allahabad, Allahabad:

   • Offers integrated courses with optional coaching for UPSC, including BA and MA programs with a focus on subjects like Political Science and History.

These colleges provide a structured approach where students can pursue their graduation while simultaneously preparing for UPSC exams. It's important to verify the specific courses and coaching programs offered by the college at the time of admission, as offerings may vary.

Start your preparation for being an IAS officer from the class 10 stage following these steps:
After passing the 10th, select a stream that appeals to you. Arts is a good choice as it deals with History, Political Science, and Geography, all of which are part of the UPSC syllabus.
Focus on NCERT Books. Start reading NCERT for classes 11 and 12 to build the base. Of course, NCERT has a significant importance in UPSC preparation.
This also enhances general knowledge -reading of newspapers and magazines -for being updated on what's going around in the world-also a part of IAS.
Graduate: After your 12th, take a graduate degree in any discipline since it is an eligibility condition for appearing in the UPSC Civil Services Examination.
Know the UPSC Exam Pattern: Understand that there are three stages of exams: Prelims, Mains, and Interview.
Start Early Preparation: Maintain regular studies and join coaching or use online resources for guidance
Following these steps will assist you in preparing well toward your goal of becoming an IAS officer.

Yes, being a student of Master's Diploma in Fashion Designing you can sit for the UPSC Civil Services Examination. According to the eligibility criteria it must be noted that only degree holders from any recognised university or its equivalent are considered eligible for applying to this examination. Now here is the summary about the eligibility criteria:
Educational Qualification: The candidate should have a graduation degree from a government approved university. A Master Diploma in Fashion Designing could be regarded as equivalent provided it has been approved by the relevant authorities.
Final Year Students: If it is your final year graduation or you are waiting for results, then you are also eligible to apply for the UPSC preliminary exam but you need to bring proof of passing the same while applying for the mains.
Age Group: You must have your age between 21 and 32 years on 1st August of the exam year and for the category, relaxation is also provided.
Nationality: You must be a citizen of India or meet certain nationality requirements.
Check the UPSC's official notification page for any update or qualification-specific requirements related to yours.

These UPSC papers are available for free so that you can start off the right way in your preparation for the Civil Services Examination. They will be accessible on the official portal of the Union Public Service Commission for candidates to refer and use as study materials.
Browse the official website of UPSC
Search for the link 'Examinations' or 'Previous Question Papers'.
Check on the year and exam, be it Preliminary, Mains or a particular optional subject, you are preparing for.
Download the PDF files of question paper by clicking on it.

Usually, these papers are there year-wise, and hence they will consist of all such sections as that of General Studies, CSAT, Essay, and Optional Subjects.

To begin preparation for the UPSC exam from Class 11, create a strong basic understanding of History, Geography, Politics, and Economics. This should ideally be done in the mornings and read the newspapers which include The Hindu or the Indian Express. Spend 1-2 hours each day in studying for UPSC. First, are the NCERT textbooks in which approximately 30 to 40% of the UPSC syllabus is covered. Familiarize yourself with the UPSC exam pattern, which consists of 3 stages: Prelims – 400 marks, Mains – 1750 marks and Interview – 275 marks. The new syllabus should be tried to be covered in 12-18 months and then advanced books can be started.