Scalar Product The scalar product is an important link between the algebra of vectors and the trigonometry of vectors. We shall see that the scalar product is somewhat comparable to the operation o...
Coincident & Parallel Lines How do I tell if two lines are parallel? Two lines are parallel if, and only if, their direction vectors are parallel This means the direction vectors will be scalar...
Equation of a Line in Vector Form How do I find the vector equation of a line? You need to know: The position vector of one point on the line A direction vector of the line (or the position vector ...
英国化学奥林匹克学术活动被誉为英国历史最久、学术最强、影响力最大的高中化学学术活动。就连剑桥大学化学系都点名表示，化学学术活动UKCHO对16岁以上的学生来说是一项具有挑战性的比赛。 对于申请化学专业的准...
很多申请英国理工类专业的学生，都会在学有余力的情况下参加高含金量的国际类学术活动。毕竟在内卷这么严重的时代，在这些学术活动中取得优异成绩可以为申请增加足够的亮点，在众多申请者中脱颖而出。 如果打算申...
Integrating using Trigonometric Substitutions The integrals covered in this revision note are based on the standard results and These are given in the formulae booklet How do I know when to use a t...
Differentiating Inverse Trig Functions What are the inverse trigonometric functions? arcsin, arccos and arctan are functions defined as the inverse functions of sine, cosine and tangent respectivel...
Integrating with Partial Fractions What is meant by partial fractions with quadratic denominators? For linear denominators the denominator of the original fraction can be factorised such that the d...
Mean Value of a Function What is the mean value of a function? The mean value of a function may be thought of as the ‘average’ value of a function over a given interval For a function f(x), the mea...
Improper Integrals What are improper integrals? An improper integral is a definite integral where one or both of the limits is either: Positive or minus infinity A point where the function is undef...
作为申请热门的经济、商科、金融等专业，申请竞争一直很激烈，想要从中脱颖而出，商科学术活动或不可缺。如果推荐商科类的相关学术活动的话，不得不提到在同学们心中知名度比较高的美国未来商业领袖FBLA商业挑战...
Adding and Subtracting Volumes Why might I need to add or subtract volumes of revolution? As with the area between a curve and a line or the area between 2 curves, a required volume may be created ...
