Bundle topic 6 - Calculus

This is a ZIP file including 27 Power point presentations for the Topic 6 - Calculus, based on the IB Mathematics SL Syllabus. The sub topics are:

Limits and convergence

The tangent line and the derivative of a function

The equations of the tangent and normal lines

Basic rules of derivatives

The derivative of ln x

The product rule

The quotient rule

The chain rule

Higher order derivatives

Rate of change

Velocity and acceleration functions

Curve properties

Relative and global extrema

Concavity of a graph

Sketching a graph

Optimisation problems

Antiderivatives and the indefinite integral

Integration of f(x) = 1/x; f(x) = e^x and compositions with the linear function ax + b

The substitution method

Area under the curve. Properties of definite integrals

Fundamental theorem of calculus

Area between two curves

Volumes of revolution

Kinematic problems

Derivatives of trigonometric functions

Extrema of trigonometric functions

Integralof sine and cosine