IB DP Maths: AA SL复习笔记5.6.1 Kinematics Toolkit
Displacement, Velocity & Acceleration What is kinematics? Kinematics is the branch of mathematics that models and analyses the motion of objects Common words such as distance, speed and acceler...
IB DP Maths: AA SL复习笔记5.5.1 Modelling with Differentiation
Modelling with Differentiation What can be modelled with differentiation? Recall that differentiation is about the rate of change of a function and provides a way of finding minimum and maximum val...
IB DP Maths: AA SL复习笔记5.4.4 Further Applications of Integration
Negative Integrals How do I find the area under a curve when the curve is fully under the x-axis? STEP 1 Write the expression for the definite integral to find the area as usual This may involve ...
IB DP Maths: AA SL复习笔记5.4.3 Definite Integrals
Definite Integrals What is a definite integral? The constant of integration (“+c”) is not needed in definite integration “+c” would appear alongside both F(a) and F(b) subtracting means the “+c”’s ...
AQA A Level Maths: Pure复习笔记2.3.1 Linear Simultaneous Equations - Elimination
Linear Simultaneous Equations - Elimination What are simultaneous linear equations? When you have more than one equation in more than one unknown, then you are dealing with simultaneous equa...
AQA A Level Maths: Pure复习笔记2.2.5 Further Solving Quadratic Equations (Hidden Quadratics)
Further Solving Quadratic Equations (Hidden Quadratics) What are hidden quadratic equations? Hidden quadratic equations are quadratics written in terms of a function ƒ(χ) A normal quadratic ...
IB DP Maths: AA SL复习笔记5.4.2 Techniques of Integration
Integrating Composite Functions (ax+b) What is a composite function? A composite function involves one function being applied after another A composite function may be described as a “function of a...
AQA A Level Maths: Pure复习笔记2.2.4 Solving Quadratic Equations
Solving Quadratic Equations Solving quadratic equations We can solve quadratic equations when they are written in the form If given an unusual looking equation, try to rearrange it into this...
IB DP Maths: AA SL复习笔记5.4.1 Integrating Special Functions
Integrating Trig Functions How do I integrate sin and cos? Worked Example Integrating e^x & 1/x How do I integrate exponentials and logarithms? Exam Tip Make sure you have a copy of th...
AQA A Level Maths: Pure复习笔记2.2.3 Completing the square
Completing the square What is completing the square? Completing the square is another method used to solve quadratic equations It simply means writing in the form It can be used to help find other ...
IB DP Maths: AA SL复习笔记5.3.2 Applications of Integration
Finding the Constant of Integration What is the constant of integration? When finding an anti-derivative there is a constant term to consider In terms of graphing an anti-derivative, there are endl...
AQA A Level Maths: Pure复习笔记2.2.2 Discriminants
Discriminants What is a discriminant? The discriminant is the part of the quadratic formula that is under the square root sign It is sometimes denoted by the Greek letter (capital delta) Ho...
