# Math explained

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

- Pre-university Calculus (functions, equations, differentiation and integration)
- Vector calculus (preparation for mechanics and dynamics courses)
- Differential equations, Calculus
- Functions of several variables, Calculus
- Linear Algebra
- Probability and Statistics

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

- Select “Copy video URL” to copy the YouTube link
- Select “Copy embed code” to embed the video into your online learning environment

### 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... |