The ebook course is structured so that you will learn all concepts in a logical order and is meant to be studied from beginning to end. The theory parts are short and concise and at the end of each lesson, you will find a page with assignments.
You will get access to:
All 10 course books in the eMath series in 4f Studio online, use as many or as few as you wish
4f Studio
Create your own electronic notebooks. Collect material, assignments, theory, all in one place.
4f Note
Effective tools for writing math digitally
Save pages where you have collected your own calculations, notes, material and links
The automatic checker
Check your calculations step-by-step
The ebook course is structured so that you will learn all concepts in a logical order and is meant to be studied from beginning to end. The theory parts are short and concise and at the end of each lesson, you will find a page with assignments.
You will get access to:
All 10 course books in the eMath series in 4f Studio online, use as many or as few as you wish
4f Studio
Create your own electronic notebooks. Collect material, assignments, theory, all in one place.
4f Note
Effective tools for writing math digitally
Save pages where you have collected your own calculations, notes, material and links
The automatic checker
Check your calculations step-by-step
eMath1 is a repetition of middle school math, with some topics being treated more carefully than before. It gives an overview of the basic number domains and their operation, shows how solve first degree equations, how to work with percentages, roots and powers, and finally explains the important notion of a function.
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eMath2 presents first degree and higher degree polynomials. It shows how to solve equations involving polynomials, and how to factories polynomials. It also explains how to solve simultaneous equations as well as inequalities, and how to work with rational expressions.
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eMath3 gives an overview of the basic concepts of plane geometry, and describes the theory of triangles, general polygons, and circles. It continues with an overview of solid geometry, with applications to cylinders, cones and spheres.
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eMath4 introduces the basic notions of analytic geometry with the cartesian coordinate system. It shows how to describe lines as equations, and how to determine properties of lines, like intersection, orthogonality, distance from points and angles between lines. The book shows how to define and analyse properties of parabolas, circles and other conic sections.
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eMath5 gives an overview of vectors and vector spaces. It explains the basic notion of a vector, how to compute with vectors and how to describe them in a coordinate system. Three-dimensional vectors are also described, together with planes and lines in space.
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eMath6 gives an overview of the basic notions of probability and statistics. The basic statistical measures are covered, as well as surveys and samples. The concept of probability is explained, together with the basics of combinatorics. The rules of probability are explained, to show how to compute with probabilities, and the notion of a random variable is explained.
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eMath7 introduces the basic notions of calculus: continuity, limits, and derivatives. It shows how to compute the derivative of a function. It applies this to describe the behavior of functions, and to find extreme values of functions. Additionally, it includes a chapter on how to work with rational expressions.
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eMath8 describes how to work with exponents, logarithms and roots. It explains the notions of compound functions and inverse functions. It introduces exponential functions and logarithmic functions and shows how compute the derivative of these.
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eMath9 gives a more in-depth treatment of trigonometry. It covers the basic trigonometric functions, how to compute with these and how to solve equations with trigonometric functions. The book also covers sequences in general, particularly arithmetic and geometric sequences, as well as arithmetic and geometric sums.
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eMath10 shows how to define integrals as the inverse of derivatives. It introduces the notion of a definite integral, and shows how to use this in area calculations. Definite integrals are then used to also calculate volumes of solids.
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