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Technique of primitiveness: Work bundle
An introductory treatment of the primitive technique with examples and tips. This is followed by a series of exercises with a solution key to practice the subject matter.
Without using the substitution method and partial integration. This will be …
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Differentiating functions: Work bundle
A discussion of the technique of differentiation with worked out exercises and extra exercises with a solution key. The necessary tips are also given on how to work in a handy way. At the end of the learning resource, an overview of the rules of …
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Construction points parabola: Instruction sheet
Teaching aid on the construction of points of a parabola whose focus and directrix are given.
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Complex Transformations: Bundle
In this learning resource about complex transformations, the transformations are illustrated with figures. The following transformations are discussed:
- translation;
- rotation;
- spin multiplication;
- reflection about the real axis;
- reflection about the …
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Complex numbers: Bundle
An introduction to the complex numbers. The following parts are covered:
- introduction of the complex numbers;
- addition, subtraction, multiplication and division of complex numbers;
- geometric representation of complex numbers;
- de Moivre's formula; …
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Combinatorics: Bundle
An extensive treatment of combinatorics (counting theory) with detailed exercises and extra exercises (with full solutions) to practice this subject matter.
The following subjects of combinatorics are discussed:
- general explanation; …
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Analysis, vector calculation, solving equations: Bundle of exercises
An extensive collection of exercises on all kinds of subjects within school mathematics (and sometimes something more extensive). Full results of all exercises are also available.
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Trigonometric Functions: Circle Definitions
An introduction to the trigonometric functions through the unit circle. Various trigonometric formulas are also derived such as:
- main formula trigonometry;
- trigonometric formulas of related angles.
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Bisector Theorem: Discussion and Applications
A discussion of the bisector theorem from plane Euclidean geometry. This theorem can sometimes be used with geometric proofs. Some (elaborated) applications of geometric proofs are discussed:
- bisector and parallel lines;
- square, diagonals and …
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Bend point and bend tangent: Beam
A discussion of different types of rise and fall in graphing functions. The concepts of bending point and bending tangent are also explained and explained with examples.
In the in-depth section, the investigation of inflection points in the general …
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Symmetry in Function Graphing: Bundle
In this learning resource, the symmetry of graphs of functions is examined on the basis of many worked examples.
At the back of the bundle are also exercises (with a solution key) to practice this subject matter.
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Comparison of bisector of two intersecting lines: Overview sheet
Discussion of the method of constructing the equations of the two bisectors which are themselves represented by two equations. Also the vector representation of the (internal) bisector is discussed.
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