Summer school and annual courses for the Unified State Exam 2025 with a mathematician from Moscow State University: https://3.shkolkovo.online/math-msu My Telegram channel: https://t.me/mathmsu Materials for the intensive course SIROP are here: https://mnlp.cc/mini?domain=mathmsu&i... If you are in the 10th grade, then this is where you should go: https://t.me/+yeAlGTQAn5E0ZmZi Everything about DWI MSU is here: https://t.me/+hNmZJa59rY9hMjli VK group: https://vk.com/hitman_math Tik-Tok: / hitman_math My Instagram: / andreypavlikov_math Time codes: 00:00 Greeting and connection check 01:14 Difficulty of the variant, what to pay attention to 03:20 New task on the topic Vectors 04:30 Task 1 Trigonometry of a right triangle 07:12 How many primary points do you need to get to enter a university 08:07 Why do we start studying plane geometry with trigonometry 08:30 In which profile problems is trigonometry found 09:51 When to join the annual course 10:53 Problem 2 Dot product of vectors 14:38 Problem 3 Stereometry 17:01 Answers to questions on problem 3 18:22 Information about the AS 20:16 What is problem 4 20:13 Classical probability formula 20:56 Problem 4 Probability theory 22:08 Answers to questions on problem 4 24:30 Problem 5 Complex probability theory 51:47 Problem 6 Solving an equation 58:13 Where to find announcements of open classes 58:58 For what period is access to the course granted 1:00:15 Task 7 application of properties of powers 1:03:18 Task 8 graph of the derivative of a function 1:06:34 Task 9 a problem with practical content 1:15:24 Task 10 a problem on work 1:22:24 What is task 11 1:22:52 Task 11 linear function 1:26:13 What is task 12 1:26:23 Task 12 complex function 1:33:01 About a hacker way to solve task 12 1:33:31 Summing up on solving the first part 1:33:45 For whom it is enough to solve only the first part 1:36:12 Gentleman's set 1:37:41 What is bad about trigonometric equations 1:38:33 Task 12a 1:43:12 Task 12b selection of roots using a circle 1:46:53 Answers to questions on task 12 1:53:05 Task 15 exponential inequality 1:05:58 Which collection is better to use for preparation? 2:07:03 Why is understanding better than memorization? 2:10:10 Task 16 problem on a loan, hybrid payments 2:36:28 Task 17a theorem of Menelaus 2:44:24 Task 17b 2:55:00 Answers to questions and summing up the lesson #egee2024 Unified State Exam in Mathematics #profileegee #Yashchenko FIPI Preparation for the profile Unified State Exam in Mathematics Problems 1-19 First part Second part Plane geometry Triangle Sine Vectors Dot product Stereometry Cylinder Probability theory Favorable outcomes Complex events Product of events Logarithmic equation Exponential equation Power Derivative Graph Quadratic equation Word problem for work Linear function Function study Derivative Complex function Exponential Extremum Least value of a function on a segment Trigonometric equation Trigonometry formulas Selection of roots on a segment Prism Section Construction cross-section Cross-section area Exponential inequality Irrational inequality Interval method Economic problem Credit problem Hybrid payment scheme Rhombus Menelaus' theorem Ratio of segments Problem with parameter System with parameter Graphical method for solving a parameter Number theory Percentage