This course presents an overview of Calculus using real life situations, videos, slide decks, and practice problems. This is one of several courses in a collection from across MIT that are appropriate for High Schoolers since at least at MIT, students are expected to have taken Calculus before. […]

# Topic: Mathematics

## Combinatorics: The Fine Art of Counting

Split into 10 weeks of material and lecture content, this course is designed for high schoolers by MIT students. It delves into Combinatorics, a branch of mathematics that has importance applications in Machine Learning, Artitifical Intelligence, Software Engineering and more. […]

## The Robot Doctor Demos

This resource includes visual demos and written explanations of robotics concepts from the educational video series, The Robot Doctor. Specifically, it covers robot localization, vision, motion, and measurement, four out of the eight lessons in the video series. Users should be familiar with The Robot Doctor, and have basic knowledge of mathematics and physics. […]

## Lesson 108: Robot Controls

This video discusses how we can control a robot’s motors to have it follow straight and curved line paths. This handout covers a lesson review and questions that encourge students to apply mathematics to caluculate a robot’s tradgectory. […]

## Lesson 107: Robot Sensing and Mapping

This video discusses how a robot can “see” things around it by converting polar coordinates to cartesian coordinates in order to make a map. This handout covers a lesson review and questions that encourge students to apply mathematics to keep track of position of obstacles on a map. […]

## Lesson 106: Robot Vision

This video discusses how a robot can sense the world it around it using cameras as well as determine the distance to objects using multiple cameras. This handout covers a lesson review and questions that encourage students to use mathematics to compute robot distance to particular features. […]

## Lesson 105: Robot Motion

This video discusses how a robot moves by using math to predict future positions given the robot’s model and the equations of motion. This handout covers a lesson review and question that encourage students to use mathematics to determine the orientation the robot is facing. […]

## TechNights

TechNights (Creative Technology Nights) aims to expand diversity of interest in computing among middle school students. TechNights hosts interactive workshops on a variety of computer science topics taught by members of the Carnegie Mellon Community. […]

## Lesson 104: Robot Localization

This video discusses how robots keep track of position as the robot moves, and update their position with math using ranges to known landmarks. This handout covers a lesson review and questions that encourage studnets to use mathematics to have robots find their position on a map relative to landmarks. […]

## Lesson 103: Robot Measurement

This video explores the different ways to measure distances, speeds, time, and other items important to robots. This handout covers a lesson review and questions that encourage students to gain practice using the metric system for robotics. […]

## Probability Review

A thorough review of probability concepts and theorems with many accompanying questions to solve. […]

## Linear Alegbra Review and Reference

Four chapters of major linear algebra topics (basic concepts and notation, matrix multiplication, operations and properties, and matrix calculus) are covered in this review and reference book. Formulas, definitions, concepts, and examples are all present. […]