A major question that comes in the mind of an aspirant is whether she should go for selective or exhaustive preparation. I went for the exhaustive preparation, as most part of the syllabus was part of my graduation curriculum. But if time does not permit one can leave some topics from point of view of full 60 marks question. In this post I am giving topic wise preparation strategy.
1. Linear Algebra Focus should on understanding the definition of various terms mentioned in the syllabus (like vector spaces, subspaces, linear dependence and so on). While answering questions explain all the steps.
2. Calculus Single variable calculus is not a problem for candidates. Refer to chapters (book I mentioned in the booklist) that deal with continuity and differentiability for 2 variables. For double and triple integration also refer to that book. The solved examples from that book are sufficient. The relevant chapters are:12,13,15,16,17,18. Theory is not important , just understand the techniques through solved examples.
3. Analytic Geometry Refer book by PN Chaterjee(Rajhans Publications). This book contains solved examples and all the questions are taken from this book.
4. Ordinary Differential Equations In this topic it is better to make a sheet of all the formulas and techniques. Practice all the solved questions of the book I have mentioned.
5. Dynamics and Statics Completing the Krishna Series books(do only topics mentioned in the syllabus) will be sufficient for attempting 60 marks question. Common Catenary, central orbits, constrained motion should be covered in depth(that is do all the solved examples). For rest of the topics covering only few examples is sufficient.
6. Vector Analysis In this topic make the formula sheet. And practice previous year questions. Regularly practice the derivations asked in the exam.
1. Algebra For the people who are totally new to this topic i would suggest that read the books i have mentioned 2-3 times. Then practice all the theorems and questions yourself 2-3 times.
2. Real Analysis Cover chapters: 2- The Real Numbers(till page 24), 3-Neighbourhoods and Limit Point of a set(till page 11), 4 Countability of Sets(first 12 theorems and examples given at the end) 5,6,7(Regarding Sequence and series) 8. Real Functions. Limit and Continuity, 9,10,11,12,13,15,16. For the topics underlined cover the theorems also. For rest of the chapters solved examples are enough.
3. Complex Analysis Cover this topic from any book. Practice this topic thoroughly.
4. Linear Programming Practice is important. Improve upon the speed and accuracy for this topic.
5. Partial Differential Equations Same as Ordinary Differential Equations.
6. Numerical Analysis and Computer Programming Make the formula sheet for all the methods. Cover error analysis for newton raphson, lagrange interpolation, numerical integration. Draw flow chart and algorithm for all the numerical methods. Practice them regularly. For other topics i had M Morris Mano(this is digital electronics book). One can refer to the internet if she does not find the leftover topics in book.
7. Mechanics and Fluid Dynamics For Mechanics focus on chapters of Lagrangian(cover it from Vol-II, Rigid Dyanamics-Krishna Series), Hamiltonian, Moment Of Inertia, D’Alembert’s principle. For Fluid Dynamics cover topics mentioned in the syllabus. The book of MD Raisinghania covers syllabus from IAS exam perspective also.
My methodology was to first cover the topic from the books. Then practice previous year questions from that topic. I covered the topics in the order mentioned in the syllabus. However it does not matter much. After covering the entire syllabus I practiced last 3-4 year papers in exam like conditions.
Next i will be uploading some of my sample answers.