tag:blogger.com,1999:blog-80494265672640098382025-08-02T08:51:01.547-07:00Pure maths covers advanced mathematics for secondary/ high school and includes much in-depth content common to pre-university courses such as OCR and Edexcel.franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.comBlogger17125tag:blogger.com,1999:blog-8049426567264009838.post-78754206598876093222011-03-31T23:58:00.000-07:002011-03-31T23:58:52.449-07:00

This chapter is about using integration to find the volume of a particular kind of solid, called a solid of revolution, When you have completed it, you should be able to find a volume of revolution about either the x or y axis. Examples of how the graphs look like : When the region under the graph of y = f(x) between x = a and x = b ( where x = -1 and x = 1) is rotated about the x-axis, the

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-8584858879602886082011-03-31T22:20:00.000-07:002011-03-31T22:20:40.248-07:00

Okay, i will skip the introducing part and go straight to the point. Basically you use integration to find the area and volume. Many of the formulae you have learnt, such as those for the volume of a sphere or a cone, can be proved by using integration. This chapter deals only with areas. Ex 1 : Find the area under y=1/x^2 from x = 2 and x = 5. Some formulaes :  The area between

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com1tag:blogger.com,1999:blog-8049426567264009838.post-33922092754029283462011-03-30T21:57:00.000-07:002011-03-30T22:01:32.498-07:00

Unlike most of the other nonfoolish holidays, the history of April Fool's Day, sometimes called All Fool's Day, is not totally clear. It is not like Halloween, where despite an interesting history, most people just put on Halloween costumes, get candy, and leave it at that. There really wasn't a "first April Fool's Day" that can be pinpointed on the calendar. Some believe it sort of

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com3tag:blogger.com,1999:blog-8049426567264009838.post-80546851883763657422011-03-30T21:38:00.000-07:002011-03-30T21:38:04.521-07:00

This chapter is about differentiating composite functions. When you have completed it, you should 1. be able to differentiate composite function of the form f(F(x)) 2. be able to apply differentiation to rates of change, and to related rates of change. Differentiating (ax + b)^n Find dy/dx for (a) y = (2x + 1)^3 (b) y = (1 - 3x)^4 (c) y = √(3x + 2) (d) y = 1/ 1-2x Recall that :

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-36277042564887316762011-03-28T22:05:00.000-07:002011-03-30T22:00:30.055-07:00

HistoryThe first Doctors Day observance was March 30, 1933 in Winder, Georgia.  Eudora Brown Almond, wife of Dr. Charles B. Almond, decided to set aside a day to honor physicians. This first observance included the mailing greeting cards and placing flowers on graves of deceased doctors. The red carnation is commonly used as the symbolic flower for National Doctors Day. On March 30,

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com2tag:blogger.com,1999:blog-8049426567264009838.post-2229823327543563342011-03-28T07:25:00.000-07:002011-03-28T07:26:07.498-07:00

Study Habits Study area - Having a good study area can make a huge difference to how well you learn. Study in a well lit, quiet area, away from noises and people in the house. If this is impossible, it might be better to study at the library. Make sure your desk is tidy and organised - it means you can concentrate on studying and learning, not trying to find information. Find out about the

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-85036477413607766412011-03-28T07:23:00.000-07:002011-03-28T07:23:28.901-07:00

Exams are a time when stress levels are higher than usual. Stress can be positive, helping you to stay motivated and focused. However, too much stress can be unhelpful - it can make you feel overwhelmed, confused, exhausted and edgy. It's important to try and keep things in perspective and find ways of reducing stress if things seem to be getting on top of you. Effective study habits - Many

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-58966796631191694562011-03-28T07:04:00.000-07:002011-03-28T21:32:32.950-07:00

For UK students and international students using UK exams (e.g. Cambridge International).   You should download a copy of your latest syllabus. Syllabuses are often quite difficult to interpret, so you need to know exactly what questions your examiners are asking, and how they are marking them. For The A level Exam Boards:  OCR Edexcel  AQA CIE Most syllabuses are

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-46647675759529115312011-03-28T04:16:00.000-07:002011-03-28T04:19:38.027-07:00

This page contains some links that I have found useful or interesting for college students. I will add to it from time to time as I come across new sites I like.  A level Physics    - So far this is the most useful physics link i have came across with.  Chemguide - A highly recommended website for those who taking chemistry A level. However, it did miss out some kinda

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-9727981403540196652011-03-28T03:37:00.000-07:002011-03-28T03:37:12.334-07:00

This chapter is about inequality relationships, and how to solve inequalities. When you have completed it, you should 1. know the rules for working with inequality symbols 2. be able to solve linear inequalities 3. be able to solve quadratic inequalties However, the examiners usually combine inequalities with other topic like quadratics in one question. So make sure you read the quadratics

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-21128687572545022742011-03-27T22:50:00.000-07:002011-03-27T22:50:34.421-07:00

This chapter introduces radians, an alternative to degrees for measuring angles. When you have completed it, you should 1. know how to convert from degrees to radians and vice versa 2. be able to use the formula rθ for the length of a circular arc, and 1/2r^2θ for the area of a circular sector 3. be able to solve trigonometric equations with roots expressed in radians. Suppose that you were

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-81408701202469055012011-03-27T09:26:00.000-07:002011-03-27T09:26:09.029-07:00

A geometric sequence, or geometric progression, is a sequence defined by u1 = a and u i+1 = rui, where r is not equal to 0 or 1. Examples :    {2, 4, 8, 16, 32} is a geometric term with six terms.    {2, 1, 0.5, 0.25, 0.125, 0.0625, . . .} is an infinite geometric sequence. I will skip the proving parts and jump directly to the formula gained from deriving the equations

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com1tag:blogger.com,1999:blog-8049426567264009838.post-9155991669050680492011-03-27T01:58:00.000-07:002011-03-27T01:58:40.549-07:00

An Arithmetic sequences, or arithmetic progression,is a sequence whose terms go up or down by constant steps. The inductive definition for an arithmetic sequence has the form :  where the number d is called the common difference. Eg 1:                1    3    5    7    9  ...     &

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-60378313180233688242011-03-26T02:56:00.000-07:002011-03-26T23:59:49.393-07:00

This chapter is about finding the gradient of the tangent at a point on a graph. When you have completed it, you should be able to 1. calculate an approximation to the gradient at a point on a curve, given its equation 2. calculate the exact gradient at a point on a quadratic curve and certain other curves 3. find the equations of the tangent and normal to a curve at a point. I'll just skip (1

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-81942090890845235382011-03-25T09:10:00.000-07:002011-03-25T09:26:12.791-07:00

This chapter is about the expansion of (x + y)^n, where n is a positive integer (or zero). When you have completed it, you should 1. be able to use Pascal's triangle to find the expansion of (x + y)^n when n is small. 2. know how to calculate the coefficients in the expansion of (x + y)^n when n is large 3. be able to use notation (n r) *r is below n* in the context of the binomial theorem. 1.

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com1tag:blogger.com,1999:blog-8049426567264009838.post-85254518234887921672011-03-25T01:49:00.000-07:002011-03-25T06:50:37.461-07:00

This chapter is about quadratic expressions of the form ax2 + bx +c and their graphs. When you have completed it, you should1. know how to complete the square in a quadratic expression2. know how to locate the vertex and the axis of symmetry of the quadratic graph y=ax2 + bx +c (under topic functions and graphs)3. be able to solve quadratic equations4. know that the discriminant of the quadratic

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com0tag:blogger.com,1999:blog-8049426567264009838.post-38954839824893146832011-03-25T00:23:00.000-07:002011-03-25T01:46:14.639-07:00

This chapter develops work on sines, cosines, and tangents. When you have completed it, you should 1. know the shapes of the graphs of sine, cosines, and tangents for all angles.2. know, or be able to find exact values of the sines, cosine and tangent of certain special angles.3. be able to solve simple trigonometric equations.know and able to use identities involving sine θ, cosine θ and tan θ.1

franceshttp://www.blogger.com/profile/09127373693930154851noreply@blogger.com1