Summer school and annual courses for the 2025 Unified State Exam with an MSU mathematician: https://3.shkolkovo.online/math-msu My Telegram channel: https://t.me/mathmsu Materials for the SIROP intensive course 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 the MSU DWI 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 Greetings and connection check 00:37 About the SIROP intensive course 01:34 Getting to know the author of the course 02:13 Social networks 02:39 Intensive course schedule 05:48 How to connect to Syrup for free 06:18 Intensive course materials 07:43 Our plans for the day 08:51 Learning to ask questions 09:51 Organizational moments 11:03 Lesson plan 12:01 Problem 1 - inscribed angle 13:49 What answers can be obtained in the first part 15:02 Problem 2 - sum and scalar product of vectors 17:56 How to write answers on the form 18:43 About stereometry of the first part 19:26 Problem 3 - lateral surface area of ​​a prism 23:09 Answers to questions 25:06 Problem 4 - simple probability theory 28:51 Problem 5 - complex probability theory 31:40 Answers to questions 33:37 Problem 6 - logarithmic equation 39:43 Problem 7 - transformation expressions 41:34 Problem 8 - geometric meaning of the derivative 50:54 Problem 9 - a problem with practical content 52:16 About word problems 52:54 Problem 10 - a word problem on motion 1:00:23 Answers to questions 1:03:04 Problem 11 - functions and graphs 1:06:30 Problem 12 - the smallest value of a function 1:11:05 Important links 1:11:52 Answers to questions and differentiation rules 1:16:10 Problem 13 - the cosine of the angle of a triangle 1:19:02 Problem 14 - the length of a vector 1:22:42 Problem 15 - the volume of a polyhedron 1:28:06 Answers to questions 1:30:55 Problem 16 - simple probability theory 1:31:59 Problem 17 - complex probability theory 1:43:18 Problem 18 - exponential equation 1:45:16 Problem 19 - transformation of logarithmic expression 1:50:39 Problem 20 - graph of function and derivative 1:54:24 Problem 21 - physical meaning of derivative 1:58:17 Problem 22 - problem on solutions 2:07:18 Problem 23 - ordinate of intersection point of graphs 2:15:15 Problem 24 - point of maximum of function 2:20:54 Problem 25 - height of isosceles trapezoid 2:23:48 Problem 26 - sum of coordinates of vector 2:29:11 Problem 27 - volume of cube 2:30:41 Problem 28 - simple probability theory 2:33:06 Information about summer school 2:33:36 Problem 29 - complex probability theory, tree of options 2:38:19 Problem 30 - the simplest equation 2:40:52 Problem 31 - the value of a logarithmic expression 2:43:50 How to overcome fear of the Unified State Exam 2:44:55 Problem 32 - the graph of a function, the sum of the extremum points 2:47:46 Problem 33 - a problem with practical content 2:52:06 Answers to questions 2:53:32 Problem 34 - a text problem for work 2:57:06 Problem 35 - the value of a logarithmic function 3:00:54 Answers to questions 3:02:21 Problem 36 - the maximum point of a function 3:08:27 Answers to questions, talking about life hacks 3:12:58 Problem 37 - the cosine of the angle of an obtuse triangle 3:16:22 Problem 38 - the scalar product of vectors 3:17:57 Problem 39 - the area of ​​the lateral surface of a prism 3:20:41 Problem 40 - simple probability theory 3:22:24 Problem 41 - complex probability theory, tree of options 3:25:36 Answers to questions 3:26:42 Problem 42 - exponential equation 3:30:39 Problem 43 - the value of a trigonometric expression 3:43:07 Problem 44 - the graph of a function 3:36:07 Problem 45 - a problem with practical content 3:41:51 Problem 46 - a text problem about motion 3:51:40 Problem 47 - the value of a quadratic function 3:55:10 Problem 48 - the smallest value of a function 3:58:46 Answers to questions and summing up the lesson #ege2024 #intensiveSyrup #mathematics USE 2024 USE in mathematics Profile Unified State Exam Yashchenko FIPI Preparation for the profile Unified State Exam in Mathematics Intensive Intensive SIROP First part profile Unified State Exam Unified State Exam 2024 Typical examination options 36 options Preparation for the profile Unified State Exam in Mathematics Problems 1-12 First part Planimetry Triangle Quadrilateral Circle Vectors Coordinate plane Stereometry Cube Parallelepiped Prism Pyramid Cylinder Cone Sphere Probability theory Complex events Conditional probability Combinatorics Equations Transformation of expressions Power Logarithm Trigonometry Derivative Increasing function Decreasing function Text problem with practical content Text problem on motion Text problem on work Text problem on percentages Functions Graphs Straight line Parabola Hyperbola Arithmetic root Study of function Extremum Greatest value of function Least value of function