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High (Secondary School) Grades 11 & 12 - Math – Logs and Exponentials I – Ages 16-18’ eBook
This eBook introduces the subject of logarithms and exponentials, from the basic definition of logarithm, through the laws of logarithms, undertaking an assessment and an appreciation of exponential graphs, looking at the linear form of exponentials interspersed with a series of questions and worked examples.High (Secondary School) Grades 11 & 12 - Math – Trigonometry I – Ages 16-18’ eBook
This eBook introduces the trigonometric ratios, the trigonometric ratios of standard triangles, the sine rule, the cosine rule, the formula to calculate the area of a triangle as well as generic trigonometric equations equation of a circle, the graphs of cos x, sin x and tan x, transformed trigonometric graphs as well as the graph and CAST methods of solving trigonometric equations in a givenHigh (Secondary School) Grades 11 & 12 - Math –Integration I – Ages 16-18’ eBook
This eBook introduces the subject of integration, starting by introducing integration as the inverse of differentiation, with a twist or two. We then introduce the indefinite integral and its constant of integration, and go on to introduce the definite integral. As well as this, we provide ample examples and illustrations to illuminate the prose. We go on to introduce trapeziums linearHigh (Secondary School) Grades 11 & 12 – Math – Sequences and Series – Ages 16-18’ eBook
This eBook introduces the subjects of sequences and series, and introduces sequences in general, as well as arithmetic and geometric progressions, series within arithmetic and geometric progressions, the concepts of convergence and divergence as well as the binomial expansion. Suitable questions are asked throughout the discourse to test and develop the students comprehension of the subject.High (Secondary School) Grades 11 & 12 - Math –Differentiation I – Ages 16-18’ eBook
This eBook introduces the subject of differentiation, across this wide-ranging subject, starting with definitions and first principles to developing an understanding and appreciation of the first and second order differentials of the equation y = xn through a development of the equations of the gradient and normal to a curve at a particular point as well as a thorough review of maximum, minimumHigh (Secondary School) Grades 11 & 12 - Math – Co-ordinate Geometry and Graphs – Ages 16-18’ eBook
This eBook introduces the subjects of co-ordinate geometry and graphs, ranging from finding the equations of the straight-line joining two points for which the co-ordinates are known, to calculating both the mid-point and length of a line between two known co-ordinates to plotting equations of the form y = kxn where n is even or odd for various values of k, as well as y = k√(x) where x is positiveHigh (Secondary School) Grades 11 & 12 - Math – Indices and Surds – Ages 16-18’ eBook
This eBook introduces the subjects of indices and surds, ranging from introducing both indices and the laws of indices, surds and the laws of surds, to developing the students skills in manipulation such numbers through setting a wide range of questions.High (Secondary School) Grades 11 & 12 - Math –Algebra I – Ages 16-18’ eBook
This eBook reviews some advanced topics in algebra, including exploring the nature of polynomials, functions, equations and identity’s, examining the mathematical nomenclature used in multiplication and division. We consider multiplying out brackets, taking out common factors, manipulating algebraic fractions and simplifying expressions. Further, we include an extensive selection of questions for