Showing posts with label structure. Show all posts
Showing posts with label structure. Show all posts

Friday, February 12, 2010

Continuing with Maths...

I know ALGEBRA is your favourite  portion of Maths over the last few years. Let us see what are coming onto our plates:

1. Ratio and Proportion ( variation )
2. Indices and Logarithm
3. Theory of Quadratic Equations
4. Progressions
5. Permutations and Combinations
6. Binomial Theorem
7. Exponential series; definition of "e"

Here also you have to know the theory only and practice simple problems after studying the basics. Later you will work out more difficult problems in your Maths classes.

In CO-ORDINATE GEOMETRY the task is lesser but knowledge is very important:

1. Coordinate systems- Rectangular and Polar; their transformations
2. Internal section ratios. Centroid of a triangle
3. Straight line; mainly y = mx + c form.
4. Definitions of Circle, Parabola and Ellipse.
5. Basic form and equation of Rectangular Hyperbola  ( xy = c )



Now you are ready to start with the favourite subject of God : Mathematical Analysis or simply called Calculus. In next post we shall discuss the same in detail.

But you are now at the launching station for a journey to cherish all your life. You may love or hate but you cannot avoid this purest form of philosophy in your future.

They say that wisemen are born twice. True. Once - when they learn to count and next when they learn Mathematical Analysis...

All the best understanding God's language

Extent of Mathematics for +2 level Physics

Hi Guys

I hope you have a renewed opinion about Maths now. I also hope in your Class-X,  you liked the following areas and that is the reason you feel yourself confident now.

1. GEOMETRY - Parallel lines, Similarity in  triangles, Pythagorus Theorem, Circle
2. ALGEBRA - Solution of Simultaneous Equations in two unknowns, Ratio and Proportion, Graphs
3. TRIGONOMETRY - Measure of Angles, Definition of Trigonometric Ratios, Problems on Heights and Distances
4. MENSURATION - Areas and Volumes of Rectangular Parallelopiped, Sphere, Cylinder, Cone

Great! I am overwhelmed by the depth of your knowledge in Mathematics. So why do you worry ?

Since you have just completed your Class-X and you are excited in gearing up for the next, this is the right time to go for TRIGONOMETRY where you have to know the following chapters:

1. Radian as a circular measure of angles
2. Trigonometric Ratios of Negative Angles, Allied Angles, Compound Angles, Multiple Angles and Submultiple Angles.
3. Definition of Inverse Circular Functions
4. General Solutions of Trigonometric Equations
5. Sine and Cosine Rules
6. Trigonometric Graphs - Sinusoidal only ( Sine and Cosine )

That is all. Just know the topic and master the formulae. Do some simple sums from your Maths book - only the first 10-20 of the Exercises. Your Maths teacher will take care of the harder ones later. Believe me he will be very happy with your progress then.

In next post I shall discuss the same on ALGEBRA.

Happy going to all of you.