Mathematics by Avinash Singh, IIT R, Ex IES (UPSC IAS/IFoS CSE)

https://www.nextias.com/classroom-courses/optional-foundation-mathematics

Build Consistency. Strengthen Precision. Excel in Mathematics Optional. Success in Mathematics Optional comes from rigorous practice, timely evaluation, and the right mentorship. The Yearlong Test Series & Mentorship Program for UPSC CSE 2027 is designed to help you systematically strengthen concepts, identify gaps, and improve your answer-writing approach. 🔗 Enrol now: https://www.nextias.com/test-series/mathematics Program Highlights: ✅ 16 Comprehensive Tests ✅ Personal Mentorship ✅ Evaluation Within 7 Days ✅ Important Proofs Coverage ✅ Gap Identification & Performance Analysis ✅ UPSC Pattern-Based Tests ✅ Flexible Submission Options Learn under the guidance of Avinash Singh Sir (NEXT IAS Faculty) and prepare with a structured roadmap for Mathematics Optional. Admissions Open | Online + Offline

You should be hard on yourself when you fail to solve a question that you were capable of solving. Personally, I believe that if we perform according to our existing knowledge and potential, we can easily be among the top scorers. Many students keep struggling with extremely difficult questions that almost everyone is going to leave—including candidates who eventually score more than 320 marks. Instead of wasting too much time on such questions, keep improving your accuracy, presence of mind, and decision-making through regular practice. In Mathematics Optional, depth, clarity, accuracy, and presentation are far more important than merely covering a wide range of topics. If you still do not believe this, go through the answer copies of toppers. You will rarely find an extraordinary display of knowledge. What you will find is top-notch accuracy, clarity, logical presentation, and effective use of whatever they know. Think logically, and focus on executing what you already know with maximum accuracy.

https://www.nextias.com/classroom-courses/optional-foundation-mathematics

https://youtu.be/yktqALWKN_Q

Many faces difficulty in this topic. Those who are writing mains this year may revise from this video. This is how we cover syllabus in Advance batch.

https://www.nextias.com/classroom-courses/optional-foundation-mathematics

https://www.nextias.com/test-series/mathematics

Linear Algebra, Calculus and geometry done. You’ll get the recordings. https://www.nextias.com/classroom-courses/optional-foundation-mathematics

Today we will start ODE!

https://www.nextias.com/classroom-courses/optional-foundation-mathematics

choose these options

From tomorrow, we begin the Advance Course. Many students have been asking how they should proceed. My advice is simple: keep things straightforward. I need just 2.5 hours of your day. Set aside this time from your daily schedule and commit to it consistently. Prepare from whatever notes or material you already have. My objective is to give you an edge, greater clarity, sharper understanding, and the ability to handle difficult concepts and challenging problems with confidence. Throughout the course, I will help correct your thought process, develop faster and more effective thinking, and show you how to approach problems under examination pressure. If you engage sincerely, you will enjoy the process. For many of you, this will also be an opportunity to see how serious aspirants and toppers actually prepare, and what the real level of competition is. It may break the comfort zone that many online and Telegram/YouTube-dependent students unknowingly live in. The earlier you realise where you truly stand, the better prepared you will be for the upcoming attempt. The program has three components: Lectures/Theory Problem Sheets Recall Sheets Trust the process, stay consistent, and let the course do its job. So, let’s begin.

Sample Recall Sheet! For this year, recall sheets have also been prepared. These documents provide a detailed listing of all topics and subtopics at the micro-level. They are highly beneficial for efficiently revising the entire syllabus.

https://drive.google.com/drive/folders/1DWunB1Jq0eufLgfkvf2Z0waGJwbsZCdy?usp=sharing Plz go through these copies.

https://www.nextias.com/classroom-courses/optional-foundation-mathematics Those who want to join advance course can go to this link.