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Geometric Constructions: Work Bundle
A discussion of all kinds of geometric constructions with compass and ruler. Constructions are also proven such as:
- bisector of a line segment;
- bisector of an angle;
- divide a line segment into a given number of equal segments;
- circumscribed circle of …
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Matrices: Work Bundle
An introductory treatment of the theory of matrices with also attention to practical applications based on examples. The following concepts are discussed:
- symmetric matrix;
- unit matrix;
- adding matrices;
- multiplying matrices;
- connection matrix; …
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Power of a point relative to a circle: Bundle
The concept of the power of a point from geometry is mentioned and applied on the basis of theorems and proofs.
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Perpendicular Intersecting Lines and Graphs: Work Bundle
Discussion of lines or graphs that intersect perpendicularly. The analytic condition
is mentioned and applied in many examples.After this, exercises (with improvement key) have also been added to practice the subject matter.
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Lissajous Curves: Work Bundle
A comprehensive analysis of Lissajous curves that goes beyond the school level.
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Linear Pictures: Work Bundle
A discussion based on examples of linear maps in the plane and in space that represent a particular geometric operation such as:
- (perpendicular) reflection;
- rotation;
- projection on a line;
- projection on a plane.
After this discussion is also an …
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Loading principle: Work bundle
The loading principle (pigeon-loft principle) is discussed. Not only examples with numbers, but also other applications in areas such as geometry and combinatorics.
After the examples, there is also a series of exercises with an improvement key to …
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Chain rule: Overview
The chain rule is introduced and explained with worked examples.
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Conic Sections: Work Bundle
In this learning resource, conic sections are treated in analytic form. The following topics are covered:
- sketch;
- detect characteristics;
- determine the equations of tangents;
- determine the equations of polar lines.
An overview (summary) of basic …
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Inverse function: Overview
In this resource, determining the inverse function of a given function is treated with some examples.
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Angle between two lines or graphs: Overview
The angle between two lines or two graphs is treated and illustrated with examples.
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Reducing Roots: Work Bundle
An elementary treatment on deriving expressions with roots. The calculation rules for calculating with square roots are also discussed.
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