MathWiz

This is a unit on the derivatives of the transcendental functions in PDF form. It contains lessons with theory, examples and practice questions including answers. Total length 74 pages. The unit also includes 2 practice assignments and 2 unit tests all with full solutions. This unit is designed for approx. 2 - 3 weeks. Topics include: Derivatives of the trigonometric functions Derivatives of the inverse trigonometric functions Derivatives of exponential functions Derivatives of hyperbolic fu

This is a unit on Derivatives in PDF form. It contains lessons with theory, examples and practice questions including answers. The unit also includes practice assignments and units tests with full solutions. This unit is designed for approx. 2 weeks. Topics include: Derivatives from first principles Derivatives of polynomial functions Product rule Power of a function rule Quotient rule Chain rule Higher order derivatives The sample preview file (15 pages) contains one lesson topic with pract

This is an introductory unit for Calculus in PDF form. It contains lessons with theory, examples and practice questions including answers. The unit also includes practice assignments and units tests with full solutions. This unit is designed for approx. 2 weeks. Topics include: The slope of the tangent The limit concept Indeterminate forms Infinite limits Continuity The sample preview file (15 pages) contains one lesson topic with practice problems and a sample assignment including solut

An assignment to determine the graph and properties of the reciprocal of a quadratic function.

This material includes examples on antidifferentiation, integration using algebraic substitution, trigonometric substitution, integration by parts, integration using partial fraction. Includes worked examples and practice questions.

Determining the volume of revolution formed by two functions using washers. Revolutions about the x-axis, y-axis, other horizontal and vertical lines. Includes notes, worked examples and practice questions.

This bundle includes Riemann Sums, The definite integral, Areas under curves, Areas between curves, and length along a curve. Includes notes, worked examples and practice questions.

Determining the volume of revolution using discs. Includes notes diagrams, worked examples and practice questions. Volumes revolved around the x-axis, y-axis and other horizontal and vertical axes.

Determining volumes of revolution using cylindrical shells.

Discussion of the logarithmic function, laws of logarithms, solving logarithmic equations, practical applications of logarithms, log -log modelling. Includes notes, examples practice test.