Differentiation from First Principles
Polynomial Differentiation
– Further Differentiation (HL)
—–Differentiating Trig and Exponential Functions
—–Chain Rule
—–Product Rule
—–Quotient Rule
– Second Derivative (HL)
—–Maxima and Minima
—–Concave and Convex
Equation of a Tangent
Polynomial Integration
– Further Integration (HL)
—–Reverse Chain Rule
– Areas and Volumes (HL)
—–Areas between Lines
—–Solids of Revolution
Approximate Areas
Trapezium Rule
Rates of Change
Kinematics (HL)
Differential Equations (HL)
Numerical Methods
– Slope Fields (HL)
– Euler’s Method for First and Second order Equations (HL)
– Coupled Systems (HL)