0 1 220 1 3 4 5 6 0 7 8 5 4 5 9 0 5 4 0 0 5 8 5 5 0 4 0 5 4 0 5 5 5 5 5 0 4 0 5 4 0 5 3 A B 4 D C E 4 5 5 4 5 5 C 0 5 5 4 0 4 5 4 F 7 4 0 1 4 B 0 E 4 5 5 4 5 5 C 0 5 5 4 0 4 5 H 5 5 H 5 H I H0 0 G 4 00 F 5 4 4 45 5 4 0 5 6 4 4 6 0 4 5 Content An up to date grasp of fundamental problems and solutions Method Principles and techniques to solve the vast array of unfamiliar problems that arise in a rapidly changing field 5550 0 Content An up to date grasp of fundamental problems and solutions Method Principles and techniques to solve the vast array of unfamiliar problems that arise in a rapidly changing field Content i e definitions formulas recipes standard manipulations I can handle Method is intimidating What if the plain and simple truth is that I am not that smart Don t jump to unwarranted conclusions Clever and resourceful problem solving is a skill that can be taught and refined Yeah but I knows lots of people who don t need a lecture on problem solving methods Brilliance just comes to them So you are not a natural What of it Some world class tennis players did not start as natural backhanders They had to be coached and developed Bonzo I don t pretend to know the nature of your potential but I am sure that if you study practice and refine your problem solving skills you will become massively better at it than you are now I get it I can t possibly know the capacities of my brain hardware until I have appropriately reprogrammed my brain software 4 5 5 J J J JB 1 J J J 4 K 4 3 4 0E 5 0 1 2 3 5 B1 1 0 5 0 0 Formal Arguments Loop Invariants Recursion Algorithm Design Recurrences 7 1 0 4 5 1 5 5 5 0 7 A K L L 45 4 M B1 4 0 5 0 5 5 4 0 N 0 K K7 4 4 5 1 M n numbers of additions required to make n FIRST CUT What brackets can you do off the top of your head SECOND CUT What brackets can you do in five minutes F K 5 0 0 7 1 0 6 4 5 4 0 0 1 4 8 N 4 0 0 7 I 5 3 E 8G 0 O 5 B 8G G K G BK B 8 5 1 6 4 E 4 8 4 4 4 4 5 8 F K 5 0 0 7 1 0 6 4 5 4 0 0 H 0 H 2 H 5 8 77 F 5 2 5 H 5 5 0 K P B 1 5 H 0 H 2 H 2 4 5 H0 0 4 H 0 5 5 0 2 H 0 H H 2 H 4 4 0 4 H H4 H4 2 4 H H H H 2 H 4 Q S G H R TH 0 4 H 0 2 H 2 H 5 8 77 H 5 5 0 F K 5 0 0 7 1 0 6 4 5 4 0 0 0 The novice makes a huge motion The black belt makes a small motion The master makes a tiny motion O The novice makes a 000 huge motion The black belt makes a small motion The master makes a tiny motion 05 Simple and to the point 1 N 0 O 4 4 0
View Full Document
Unlocking...