IB DP Maths: AI HL复习笔记5.6.3 Slope Fields
Slope Fields What are slope fields? Normally the tangent lines will be drawn for points that form a regularly-spaced grid of x and y values How can I use slope fields to study the solutions of a di...
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IB DP Maths: AI HL复习笔记5.6.2 Separation of Variables
Separation of Variables What is separation of variables? Separation of variables can be used to solve certain types of first order differential equations If the equation is in that form you can use...
IB DP Maths: AI HL复习笔记5.6.1 Modelling with Differential Equations
Modelling with Differential Equations Why are differential equations used to model real-world situations? A differential equation is an equation that contains one or more derivatives Derivatives de...
IB DP Maths: AI HL复习笔记5.5.2 Calculus for Kinematics
Differentiation for Kinematics How is differentiation used in kinematics? Displacement, velocity and acceleration are related by calculus In terms of differentiation and derivatives Worked Example ...
IB DP Maths: AI HL复习笔记5.5.1 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: AI HL复习笔记5.4.4 Volumes of Revolution
Volumes of Revolution Around x-axis What is a volume of revolution around the x-axis? The volume of revolution is the volume of this solid Be careful – the ’front’ and ‘back’ of this solid are flat...
IB DP Maths: AI HL复习笔记5.4.3 Further Applications of Integration
Negative Integrals The area under a curve may appear fully or partially under the x-axisthis occurs if the negative area(s) is/are greater than the positive area(s), their sum will be negative How ...
IB DP Maths: AI HL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...
IB DP Maths: AI HL复习笔记5.4.1 Integrating Special Functions
Integrating Trig Functions How do I integrate sin, cos and 1/cos^2? The antiderivatives for sine and cosine are For calculus with trigonometric functions angles must be measured in radians Ensure y...
