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Part 1
Chapter I. The derivative and its applications
1
Ratio of increments and the tangent
Lessons 1
2
The idea of a limit
Lessons 2
3
The derivative: geometric and physical meaning
Lessons 3
4
Rules for computing derivatives
Lessons 4
5
The derivative of a composite function
Lessons 5
6
Tangent and normal equations; problem solving
Lessons 6–7
7
Investigating functions with the derivative
Lessons 8
8
Extremal problems
Lessons 9
9
Approximate calculations and modelling
Lessons 10–11
10
Applications of the derivative: problem solving
Lessons 12
Part 1
Chapter II. The integral and its applications
11
Antiderivative and the indefinite integral
Lessons 13
12
The table of integrals and the simplest rules
Lessons 14
13
The definite integral and the Newton–Leibniz formula
Lessons 15
Part 1
Geometry: coordinates, vectors, prism and cylinder
14
Cartesian coordinates in space
Lessons 16
15
Vectors in space
Lessons 17
16
Transformations and chapter review
Lessons 18–19
17
Polyhedra and the surface of a prism
Lessons 20–21
18
The volume of a prism
Lessons 22
19
The cylinder and chapter review
Lessons 23–24
Part 2
Chapter II (continued). Applications of the integral
20
Integral applications and approximate integration
Lessons 25–26
21
Problem solving with integrals
Lessons 27
Part 2
Chapter III. Data analysis and probability
22
Combinatorics and Newton’s binomial
Lessons 28–29
23
Statistical data
Lessons 30
24
Mean, mode, median and deviation
Lessons 31
25
Relationship between two data sets
Lessons 32
26
Random events and probability
Lessons 33
27
Complementary events, addition and multiplication
Lessons 34–35
28
Binomial and normal distributions
Lessons 36
Part 2
Chapter IV. Review of algebra and analysis
29
Algebra and analysis review
Lessons 37
Part 2
Geometry: pyramid, cone, sphere and ball
30
The pyramid and the frustum
Lessons 38
31
The cone, the frustum and chapter review
Lessons 39–40
32
The ball and the sphere
Lessons 41
33
Volumes of ball parts and the surface of a sphere
Lessons 42–43
34
The ball chapter and stereometry review
Lessons 44–45
☰ Contents · Mathematics
Grade 11
›
Mathematics
›
Week 32
The ball and the sphere
Lessons 41 · 1 lessons · M. A. Mirzaahmedov, Sh. N. Ismailov, A. Q. Amanov (algebra and analysis), B. Q. Haydarov (geometry). Mathematics Grade 11, Parts 1 and 2, 1st edition. ZAMIN NASHR, Tashkent, 2018
Lesson 41
Quiz
8
Homework
5
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