**This homepage for Leaving Cert Applied Maths is under construction. **These videos are worked problems from Oliver Murphy’s Fundamental Applied Mathematics First Edition. You can however find the my YouTube playlists below. The Leaving Cert Applied Maths course is (in theory) perhaps the toughest course available on the Leaving Cert.

**My comments on the Leaving Certificate Applied Mathematics Course**. Any students taking this course should be genuinely proud of themselves. Before I continue, I’d like to thank Mr. David Quilter for teaching me the subject — though I sure found it tough! Although you may not appreciate it at the time; this course has great scope and is very applicable to those who intend to study applied maths, physics or engineering in university. Unfortunately though, it’s perhaps rarely billed as such.

**The topics**. This course covers really fundamental topics with obvious day to day applications such as relative, relative velocity, Newton’s Laws, accelerated linear motion and projectiles. These are the popular topics because they are the simplest (conceptually at least!) In my opinion, the course’s real beauty however lies in the more difficult and less popular sections. There are some serious mathematical and physical topics available on the syllabus such as differential equations, circular motion and simple harmonic motion.

**Who cares about beauty? I just want to pass!** If you intend at all to study science, engineering or mathematics in university then the applied maths course is what you need. However, the topics which will serve you best are the more difficult ones. My three favourite are: differential equations (ODEs); circular motion; and simple harmonic motion (SHM). Physics is really the study of the solutions to differential equations. Almost *all* systems are modeled as simple harmonic oscillators! Circular motion coupled with some elementary quantum mechanics leads to the atomic electron orbitals! How conceptually difficult are they? That depends on your level of physics/maths but not much more than Newton’s Laws — and they’re certainly worth the effort.

**But I’ve heard that the exam is brutal?!** Every minute of study put into applied maths will be reflected in your grade. This is completely different from almost *every* other subject. If the truth be told, I thought I did terribly in my LC exam — it turned out to be the complete opposite when the results were published! I’ve seen the same pattern happen with other people since. Very few students will get to ‘the answer’ in the exam. That’s almost irrelevant. In the real world *nobody* cares about the answer like that. The reason is that once the theory and system is understood we can use computers to compute the exact answer in moments. The purpose of your studies is not to get ‘the answer’ but rather to understand and apply the theory and techniques (making the inevitable silly numerical or typographical errors along the way) and spitting out an approximate answer!

Return to Video Tutorials G-Z

Chapter # |
Topic |

1 | Vectors |

2 | Accelerated Linear Motion |

3 | Projectile Motion |

4 | Relative Velocity |

5 | Newton’s Laws and Connected Particles |

6 | Work and Energy |

7 | Impacts and Collisions |