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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


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