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 ...
英國化學奧林匹克學術活動被譽為英國歷史最久、學術最強、影響力最大的高中化學學術活動。就連劍橋大學化學系都點名表示，化學學術活動UKCHO對16歲以上的學生來說是一項具有挑戰性的比賽。 對于申請化學專業的準...
很多申請英國理工類專業的學生，都會在學有余力的情況下參加高含金量的國際類學術活動。畢竟在內卷這么嚴重的時代，在這些學術活動中取得優異成績可以為申請增加足夠的亮點，在眾多申請者中脫穎而出。 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...
作為申請熱門的經濟、商科、金融等專業，申請競爭一直很激烈，想要從中脫穎而出，商科學術活動或不可缺。如果推薦商科類的相關學術活動的話，不得不提到在同學們心中知名度比較高的美國未來商業領袖FBLA商業挑戰...
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 ...
