Tài liệu miễn phí Toán học
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Building an inventory of learning materials exploiting mobile augmented reality technology for spatial geometry
The application of information technology in teaching mathematics in the world as well as in Vietnam has become popular, this article, therefore, aims at building an inventory of learning materials exploiting augmented reality technology on smartphones for spatial geometry.
12/29/2020 9:15:22 AM +00:00
Một nghiên cứu thực nghiệm về các khó khăn liên quan đến việc học khái niệm đẳng cấu nhóm
Bài viết trình bày kết quả thực nghiệm về ba khó khăn đối với sinh viên khi tiếp cận khái niệm đồng cấu nhóm và đẳng cấu nhóm: (1) Không nhận ra yếu tố cơ bản “tập nguồn và tập đích là các nhóm”; (2) Không hiểu rõ tính chất “bảo toàn phép toán của hai nhóm”; (3) Không hiểu rõ tính chất “tương ứng một-một”.
12/29/2020 9:15:15 AM +00:00
Tạp chí Khoa học: Số 42/2020
Tạp chí Khoa học: Số 42/2020 trình bày các nội dung chính sau: Phương pháp dưới đạo hàm tăng cường giải bài toán bất đẳng thức biến phân trên tập nghiệm của một bài toán bất đẳng thức biến phân tách, đề xuất nhiệt độ thích hợp cho quá trình chế tạo màng ZNO từ tiền chất kẽm axetyl axetonat bằng phương pháp CVD, nghiên cứu tương tác của hạt nano TiO2 trên bề mặt carbon nanotube, một số trường hợp đặc biệt của tam giác Heron,... Mời các bạn cùng tham khảo để nắm nội dung chi tiết.
12/29/2020 8:41:44 AM +00:00
Nghiên cứu tương tác của hạt nano TiO2 trên bề mặt carbon nanotube
Mô phỏng là quá trình phát triển mô hình hoá để mô phỏng một đối tượng cần nghiên cứu. Thay cho việc phải nghiên cứu đối tượng thực, cụ thể mà nhiều khi là không thể hoặc tốn kém, người ta mô hình hoá đối tượng đó trong phòng thí nghiệm và tiến hành nghiên cứu đối tượng đó.
12/29/2020 8:41:31 AM +00:00
Existence and uniqueness of weak solutions for a semilinear heat equation with memory
In this paper we prove the well-posedness of weak solutions to a semilinear heat equation with memory and the nonlinearity f of exponential type by the Galerkin approximation and compactness method. The main novelty of our result is that no restriction on the growth of the nonlinearities is imposed.
12/29/2020 8:41:25 AM +00:00
Một số trường hợp đặc biệt của tam giác Heron
Bài toán đặt ra là tìm tam giác Heron sao cho bán kính đường tròn nội tiếp và bán kính các đường tròn bàng tiếp đều là các số tự nhiên. Kết quả thu được rất tường minh đối với tam giác vuông, tam giác cân và một số trường hợp khác.
12/29/2020 8:41:13 AM +00:00
Phương pháp dưới đạo hàm tăng cường giải bài toán bất đẳng thức biến phân trên tập nghiệm của một bài toán bất đẳng thức biến phân tách
Trong bài viết này, dựa trên ý tưởng của phương pháp dưới đạo hàm tăng cường được đề xuất bởi Censor và các cộng sự. Bài viết đề xuất một phương pháp mới để giải bài toán bất đẳng thức biến phân trên tập ràng buộc là tập nghiệm của bài toán bất đẳng thức biến phân tách.
12/29/2020 8:40:07 AM +00:00
Lecture General mathematics: Lecture 32 - Ms. Fehmida Haroon
Lecture provides knowledge of the one-sided limits and infinite limits. In this chapter, the following content will be discussed: One-sided limits (continuation), infinite limits. Inviting you refer.
12/29/2020 7:09:37 AM +00:00
Lecture General mathematics: Lecture 31 - Ms. Fehmida Haroon
Lecture provides knowledge of the continuity of functions. The main contents of this chapter include all of the following: Continuity of functions, continuity on an interval. Inviting you refer.
12/29/2020 7:09:26 AM +00:00
Lecture General mathematics: Lecture 30 - Ms. Fehmida Haroon
Lecture provides knowledge of the slopes and the derivative - Differentiation rules. This chapter presents the following content: The tangent line, definition of the derivative, differentiability, differentiation rules, derivatives of trigonometric functions.
12/29/2020 7:09:17 AM +00:00
Lecture General mathematics: Lecture 29 - Ms. Fehmida Haroon
This chapter will give an alternate definition of differentiability and derivation of the chain rule. The main contents of this chapter include all of the following: The chain rule, differentiability. Inviting you refer.
12/29/2020 7:09:07 AM +00:00
Lecture General mathematics: Lecture 28 - Ms. Fehmida Haroon
Rectilinear motion is a motion along a straight line, and can therefore be described mathematically using only one spatial dimension. The rectilinear motion can be of two types: uniform linear motion with constant velocity or zero acceleration; non uniform linear motion with variable velocity or non-zero acceleration. In this chapter introduce the rates of change and rectilinear motion, inviting you refer.
12/29/2020 7:08:56 AM +00:00
Lecture General mathematics: Lecture 27 - Ms. Fehmida Haroon
Lecture provides knowledge the mean value theorem and relative extrema. The main contents of this chapter include all of the following: The mean value theorem, critical numbers, increasing/decreasing functions, the first derivative test for relative extrema.
12/29/2020 7:08:47 AM +00:00
Lecture General mathematics: Lecture 26 - Ms. Fehmida Haroon
Lecture you will review how the second derivative of a function is related to the shape of its graph and how that information can be used to classify relative extreme values. This chapter presents the following content: Concavity and points of inflection, the second derivative test, graphing polynomials.
12/29/2020 7:08:35 AM +00:00
Lecture General mathematics: Lecture 25 - Ms. Fehmida Haroon
The main contents of this chapter include all of the following: Vertical asymptotes, horizontal asymptotes, oblique asymptotes, graphing functions with asymptotes, graph of f from the graph of f’.
12/29/2020 7:08:25 AM +00:00
Lecture General mathematics: Lecture 24 - Ms. Fehmida Haroon
The main contents of this chapter include all of the following: Definitions and examples, absolute extrema of functions on closed and bounded intervals, absolute extrema of functions with one relative extremum, other cases: using limits.
12/29/2020 7:08:12 AM +00:00
Lecture General mathematics: Lecture 23 - Ms. Fehmida Haroon
In this concept, you will learn to find the optimal value of a function that is associated with an optimization problem. At this point, you know how to analyze a function to find its minima and maxima using the first and second derivatives. This is a big deal! Finding the solution to some real-world problem (such as in finance, science, and engineering) often involves a process of finding the maximum or minimum of a function within an acceptable region of values.
12/29/2020 7:07:59 AM +00:00
Lecture General mathematics: Lecture 22 - Ms. Fehmida Haroon
This can be stated symbolically as F′ = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration) and its opposite operation is called differentiation, which is the process of finding a derivative.
12/29/2020 7:07:50 AM +00:00
Lecture General mathematics: Lecture 21 - Ms. Fehmida Haroon
Lecture present the particular antiderivatives and introduction to the area of a plane region. The main contents of this chapter include all of the following: Particular antiderivatives, application to rectilinear motion, introduction to the area of a plane region.
12/29/2020 7:07:42 AM +00:00
Lecture General mathematics: Lecture 20 - Ms. Fehmida Haroon
In this lecture we will formally define the definite integral and give many of the properties of definite integrals. The main contents of this chapter include all of the following: The definite integra, the second fundamental theorem of calculus.
12/29/2020 7:07:33 AM +00:00
Lecture General mathematics: Lecture 19 - Ms. Fehmida Haroon
In this section we’ll look at the arc length of the curve given by, where we also assume that the curve is traced out exactly once. Just as we did with the tangent lines in polar coordinates we’ll first write the curve in terms of a set of parametric equations.
12/29/2020 7:07:24 AM +00:00
Lecture General mathematics: Lecture 18 - Ms. Fehmida Haroon
The main contents of this chapter include all of the following: Volumes of solids of revolution: Disk or washer method, volumes of solids of revolution: Cylindrical shell method, other examples: volumes of solids of revolution.
12/29/2020 7:07:15 AM +00:00
Lecture General mathematics: Lecture 17 - Ms. Fehmida Haroon
This chapter presents the following content: Mean value theorem for integrals, the first fundamental theorem of calculus, the second fundamental theorem of calculus.
12/29/2020 7:07:06 AM +00:00
Lecture General mathematics: Lecture 16 - Ms. Fehmida Haroon
Lecture provides knowledge of the integrals yielding logarithmic and exponential functions. This chapter presents the following content: Integrals of f(x) = 1/x and of the other circular functions, integrals of exponential functions, the natural logarithmic function: A rigorous approach.
12/29/2020 7:06:58 AM +00:00
Lecture General mathematics: Lecture 15 - Ms. Fehmida Haroon
The main contents of this chapter include all of the following: Inverse circular functions, derivatives of inverse circular functions, integrals yielding the inverse circular functions.
12/29/2020 7:06:48 AM +00:00
Lecture General mathematics: Lecture 14 - Ms. Fehmida Haroon
The main contents of this chapter include all of the following: Hyperbolic functions, identities involving hyperbolic functions, derivatives of hyperbolic functions, integrals of hyperbolic functions, inverse hyperbolic functions, derivatives of inverse hyperbolic functions, integrals yielding the inverse hyperbolic functions.
12/29/2020 7:06:40 AM +00:00
Lecture General mathematics: Lecture 13 - Ms. Fehmida Haroon
Lecture 13 - Slope of a linear equation. After studying this chapter you will be able to understand: Understand slope and its types, form the linear equations involving slopes of different situations.
12/29/2020 7:06:32 AM +00:00
Lecture General mathematics: Lecture 12 - Ms. Fehmida Haroon
Lecture 12 - Liner equations and graph of liner equations. After studying this chapter you will be able to understand: To understand the linear equations. to plot linear equations on the cartesian coordinate system.
12/29/2020 7:06:24 AM +00:00
Lecture General mathematics: Lecture 11 - Ms. Fehmida Haroon
Lecture 11 - Variables and coordinates. After studying this chapter you will be able to understand: To understand the cartesian coordinate system, to plot ordered pairs (points) on the cartesian coordinate system.
12/29/2020 7:06:16 AM +00:00
Lecture General mathematics: Lecture 10 - Ms. Fehmida Haroon
In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval, [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval. In lecture Mathematics 53 - Lecture 1.5, you will learn: The intermediate value theorem, the squeeze theorem, limits and continuity of trigonometric functions.
12/29/2020 7:06:07 AM +00:00