Computer Science Semester 2 results

Final Uni results !

Math 1A                          HD
Math Fund B                    HD
Statistical Data Analysis   HD
Professional Skills            Dn

very happy with these !!!

Merry Xmas !!

heres a cool trick i learnt regarding infinite decimal numbers - 
ie
3.711711711711711711.....

let S = 3.711711711...
S= 3 + 711/1000 + 711/1000^2 + 711/1000^3....

see the pattern - the "ratio" is 1:1000 each time, each element in the series.

therefore 1000.S = 3711 + 711/1000 + 711/1000^2 + 711/1000^3....
1000.S - S = 3711- 3    (the infinite recurring decimals subtract and are removed from the picture)

999 S = 3708

S = 3708/999 or 412/111

pretty nifty !

second semesters exams just around the corner ! : O
this had been a really tough semester ! the work isn't too hard - but there is so much of it.

The math has been really fun.
Project/Team Management not so much since my team are a bunch of lazy ass teenagers...sheesh...

Statistics...its ok.

Here's a breakdown of the Maths we've covered.

* Proof of Pythagoras
* Trig ratios
* Natural Numbers, integers, Rational Numbers
* Proof root(2) is not a fraction
* Real Numbers as infinite decimals

* Intervals, closed and open notation
* Domain and range of a function
* Inverse trig functions
* The unit circle
* Elementary trig properties
* Periodicity of sin cos and tan

* Graphing of Functions
* Slope of a line between two points
* Average velocity for positions given in terms of time
* Instantaneous velocity defined as a limit.
* Derivatives, elementary calculus
* Polar coordinates
* Addition formulae for angles, double and half angle formulae

* Addition of two wave functions
* Modulus
* The Product Rule for differentiation of two functions
* The Chain Rule for Differentiation
* Trig identities and Simplifications
* Polynomials / RemainderTheorem
* Factorisation of Polynomials
* Completion of the square

* Leibniz Notation
* Implicit differentiation
* Differentiation of sin(x) and thus other trig ratios including powers and multiple angles
* Complex numbers, modulus of and argument of.
* Properties of modulus and complex conjugate of a complex number
* De Moivere's Theorem
* Square and Cube roots of complex numbers
* Relation to factoring polynomial functions


* Simple harmonic Motion

* Defn of natural log as the area under the graph of 1/x for x> 0

* graphing Exponential functions
* Decay / Half life

* Complex exponentials and their relation to trig functions

* Hyperbolic functions

* Derivatives of the inverse trig functions

* Local and Global maxima and minima, how to find them if they exist

* Vectors in R2 and R3 from both geometric POV and algebraic POV
* Length and dot product of vectors

* Angle between vectors, Orthogonality

* Parallel and perpendicular vectors

* Vector Cross Product

* Equations of lines and planes in R3

* Find a plane through 3 given non collinear points

* Row operations and simultaneous Equations

* Continuity on a point and on an interval.

* Max and min for continuous functions on closed bounding intervals

* Mean Value theorem, and consequence of a positive derivative 

* Rolle's Theorem as a special case

* Verbally posed max min problems

* Snell's Law

* Intermediate Value Theorem

* Approximate Solutions by repeated bi-sections

* Distance between two parallel lines.

* Indefinite integration - example of falling body under constant gravity

* Differential eqn's for Projectiles

* Geometric Sequence and its limit

* Summation

* Parametric curves in the plane

* Slope and equation of the tangent line

* Power Series

* Gregory Series

* Maclaurin Series

* Binomial Series

* Escape Velocity under the inverse square law of attraction

Semester 1 Final Results

Comp Fundamentals :     Distinction
Inf and Comm Tech  :     HD
CP1 (Java)               :     HD
Maths Fund A (1/2)  :     Credit

I was very surprised and happy with those !

1st Semester Exams - done !

I've just finished my exams for 1st semester computer science !
phew! at first i thought 'hey - this isnt that hard...'
but wow - there was alot of stuff to cover...

here's a general summary of topics covered so far...
some to a more or less introductory level...some in a bit more detail.

SUBJECT :Information and Communications Technology:
Essay writing refresher , Harvard Referencing
Networking Fundamentals
Networking Topologies
The Internet, history, technology , Packet Switching
Security
e-Business
Information Systems
Hardware Basics with focus on CPU's and Motherboards.
Operating Systems
Social Media overview / general social issues with IT.
MSOffice Suite.....errg...
Database Fundamentals
Unix  commands

Maths FundmentalsA
Logs
Linear Algebra
Functions and Graphs
Quadratics
Trigonometry

Programming 1 (Java)
Data Types / manipulation
OOP principles
Inheritance
Polymorphism
Recursion
Data Structures
Search Algortihms - linear and binary
Simple Graphics with Applets

Computing Fundamentals
History of Computing 
Algorithms
Hardware / Peripherals
Binary Functions 
Machine Cycles; Machine Code
Database Design
OOP principles
Software Design Principles 
3D Overview
AI

"It's official: Asia has just run out of IPv4 Addresses

Now will you take switching over to IPv6 seriously?"

DPI vs PPI

http://www.andrewdaceyphotography.com/articles/dpi/