 ## Right-Handed 3D Coordinate Frame

We discuss the structure of a right-handed 3D coordinate frame and the spatial relationship between its axes which is encoded in the right-hand rule.

## Describing Position in 3D

We revisit the fundamentals of 3D geometry that you would have learned at school: coordinate frames, points and vectors.

## Introduction to 3D Geometry

We learn how to describe the position and orientation of objects in the 3-dimensional space that we live in. This builds on our understanding of describing position and orientation in two dimensions.

## Summary of 2D geometry and pose

This video gives summary of 2D geometry and pose.

## Describing rotation and translation in 2D

We learn how to describe the 2D pose of an object by a 3×3 homogeneous transformation matrix which has a special structure.

## Describing rotation in 2D

We learn how to describe the orientation of an object by a 2×2 rotation matrix which has some special properties.

## Developing a real representation of pose in 2D

The pose of an object can be considered in two parts, the position of the object and the orientation of the object.

## Relative pose in 2D

We consider multiple objects each with its own coordinate frame. Now we can describe the relationships between the frames and find a vector describing a point with respect to any of these frames. We extend our algebraic notation to ease the manipulation of relative poses.

## Relative Positions in 2D

We introduce the idea of attaching a coordinate frame to an object. We can describe points on the object by constant vectors with respect to the object’s coordinate frame, and then relate those to the points described with respect to a world coordinate frame. We introduce a simple algebraic notation to describe this.

## Position and Pose in 2D

To fully describe an object on the plane we need to not only describe its position, but also which direction it is pointing. This combination is referred to as pose.

## 2D Geometry Refresher

We revisit the fundamentals of geometry that you would have learned at school: Euclidean geometry, Cartesian or analytic geometry, coordinate frames, points and vectors.

## Introduction to 2D Geometry

We learn how to describe the position and orientation of objects on a 2-dimensional plane. We introduce the notion of reference frames as a basis for describing the position of objects in two dimensions.

## Summary of robots and why we need them

This video gives summary of robots and why we need them.

## Why do we need robots?

Without doubt robots are cool, but why do we need them? Let’s discuss some of the things that robots can help people do.

## Coming Soon- Robots that drive

Self-driving cars are in the news a lot lately. An alternative way to think of such cars is as robots that carry people.

## Human-like Robots

We have a deep fascination with machines created in our own image. Let’s explore the world of humanoid robots.

## Out and About with Robots

In this mini-documentary we look at a diverse range of real-world robots, discuss what they do and how they do it.

## Robots Today

Robots today are ubiquitous in manufacturing but they can do much, much more.

## Robots in History

Humans have long been fascinated by machines that mimic people and animals. These and several other technologies are the precursors of modern robots.

## Robot in Fiction

Much of what we know about robots comes from fiction. Let’s look at fictional robots and the underlying reality.