Lecture General mathematics

Lecture 9 - Patterns as fundamental to understand algebra. After studying this chapter you will be able to understand: Identify the number pattern involving different operations on number and repeat the sequence of number accordingly, understand the number pattern given and guess the missing numbers.

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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.

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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.

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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.

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Lecture 1 - Addition and subtraction of natural numbers. In this lecture student teachers will be able to: Increase their mathematical content knowledge for numbers and operations, algebra and algebraic thinking, geometry and geometric measurement, and Information handling for teaching in elementary grades; increase their confidence, competence, interest, and enthusiasm for mathematics by exploring and doing mathematics; deepen an understanding of how children learn mathematics;…

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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.

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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.

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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.

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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.

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Lecture provides knowledge of the limit of a function and one-sided limits. This chapter presents the following content: Limit of a function: An intuitive approach, limit theorems, one-sided limits.

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The main contents of this chapter include all of the following: Functions, basic types of functions, constructing a table of signs, operations on functions, piecewise-defined functions, functions as mathematical models.

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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.

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Lecture provides knowledge of the derivatives of logarithmic and exponential functions. This chapter presents the following content: Exponential and logarithmic functions, derivatives of logarithmic functions, logarithmic differentiation, derivatives of exponential functions,...

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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