Math explained

Mathematics explained: Here you find videos on various math topics:

Teachers can use these videos in class or as pre-lecture video by right-clicking on a video:

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Pre-university Calculus

Apply now for pre-university Calculus!

Are you a high-school student and are you going to start a science or engineering Bachelor study? You’ll make a good start at university if you follow this free on-line course: Pre-university Calculus. It will help you review the following topics: functions, equations, differentiation and integration. Calculus is an essential part of any engineering or scientific study. Watch the video on de edX course Pre-university Calculus (Calc001x).

What is a function? How can you describe a function? What are the most important standard functions? More...
What is an equation? And how do you solve equations involving polynomials, square roots, trigonometric functions and exponential functions? More...
Differentiation is very helpful to determine how fast something changes. Slope and speed are defined by differentiation. More...
You will learn the definition of integration by Riemann sums. Then we will discuss the fundamental theorem of calculus to define the relation between integral and derivative.  More...
A series is the sum of the terms of an infinite sequence. More...
A vector is used in geometry and physics to represent physical quantities that have both magnitude and direction. Think of physical quantities like velocity, movement, acceleration and force! More...
A differential equation is a mathematical equation that relates some function with its derivatives. These videos cover topics important in understanding and solving first- and second-order differential equations. More...
In the real world physical quantities often depend on several variables. How do you determine the slope of such functions? More...
How do you compute double and triple integrals? You need this for physical quantities that depend on several variables. More...
Linear algebra is the part of mathematics concerning vectors, vector spaces and linear mappings between such spaces. More...
Probability is a part of mathematics where uncertainty plays a role. It is an important tool for statistics. More...
Statistics is about data: analysing data, making inference based on data and making predictions about the future based on the data. More...
Complex numbers allow solutions to certain equations that have no solutions in real numbers. More...
Sets are one of the most fundamental concepts in mathematics. The elements of a set can be anything: numbers, letters of the alphabet, other sets, etc. More...