How to prepare for DVI at Moscow State University in Mathematics? Tips, scale transfer points and useful materials.
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Q & A 2019
- Are inverse trigonometric functions and functional equations still relevant?
- Yes, I still hold the same opinion. With inverse trigonometric functions you need to get along - it's generally 100%. Functional equations in explicit form came across for the last time in the 2008th year on mehmat, but everything new is well forgotten old. I am not saying that you need to study them diligently, but in general you should get acquainted with this type of task.
- Can we say now that the structure of the DVI has become clear and specific types of tasks are assigned to each number?
- On DVI there is no codifier as on the USE, that is, there are no guarantees that in 2019 there will be stereometry in No. 7, although we see that this often happens. In general, the structure is similar and according to the options of recent years, an adequate idea can be made. But then again: before, there was always a text task under number 6, and many were waiting for it, and then bang (2018), and number 6 was a serious task with a parameter.
- Does it make sense to prepare for stereometry?
- If you are preparing for a very good result for the USE and there are no problems with stereometry, then it makes sense to dig deeper and grow to DVI. For example, if Gordin’s book on number 14 is passed - super, you can work on high-level tasks for at least a couple of weeks, and this can bring real results. But if the soul does not lie in stereometry and not every USE task turns out, then it is better not to waste time: there will be no encouragement for DVI for “almost solving” the stereometric problem.
- Is Tkachuk enough to solve for 80+ points? Are there any relevant topics there?
- In fact, even those who have written the exam in 80+ have every chance of writing a DVI in 80+, and if the applicant worked as Tkachuk, then the chances are actually good. Some material in the book is too much, and some is not enough, and this is normal. Trigonometry and, in general, the whole algebra is just excellent, text problems are a little lame, because there were often tasks on movements and that with their own specifics. Geometry in Tkachuk also does not fit perfectly, although it is good. It is desirable to supplement Tkachuk in geometry with Gordin, moreover in planimetry and stereometry (if you want to prepare for it). Separate sections of Skanavi and Shabunin are well suited. + Olympiad tasks in terms of parameters and in those sections that are close to No. 8 (including inequalities and estimates). Shestakov’s cool book on tasks with parameters. Although there are good benefits and Sergeyev, Kozko.
MORE
1. 2017 version: • #160. ДВИ ПО МАТЕМАТИК...
2. 2016 option: • #103. ДВИ ПО МАТЕМАТИК...
3. 2015 option: • #104. ДВИ ПО МАТЕМАТИК...
4. A juicy task for mehmat: • #138. САМАЯ ТРУДНАЯ ЗА...
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