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HL 3.5 - Financial math (beta)
SL 1.4: Financial applications of geometric sequences and series; compound interest; annual depreciation Important financial concepts such as simple interest, compound interest, inflation and depreciation...
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HL 3.4 - Infinite geometric series
SL 1.8: Sum of infinite convergent geometric sequences The series we have studied thus far - arithmetic & geometric - have been finite; that is, there is a countable number of terms. A finite arithmetic...
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HL 3.3 - Geometric sequences & series
SL 1.3: Geometric sequences and series; use of the formulae for the nth term and the sum of the first nterms of the sequence; use of sigma notation for the sums of geometric sequences If a set of numbers...
eBook
HL 3.2 - Arithmetic sequences & series
SL 1.2: Arithmetic sequences and series; use of the formulae for the nth term and the sum of the first n terms of the sequence; use of sigma notation for sums of arithmetic sequences; applications (e.g....
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HL 2.7 - Solving modulus equations & inequalities
HL 2.16: Solution of modulus equations and inequalities Absolute value (modulus) equations and inequalities occur frequently in mathematical analysis. Unlike many equations, solving modulus equations...
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HL 2.6 – Partial fractions
HL 1.11: Partial fractions; maximum of two distinct linear terms in the denominator, with degree of numerator less than the degree of the denominator. Sometimes, it is useful to decompose algebraic fractions...
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HL 2.5 – Solving equations and inequalities
SL 2.10: Solving equations, both graphically and analytically SL 2.10: Use of technology to solve a variety of equations, including those where there is no analytic approach. SL 2.10: Applications of...
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HL 2.3 – Polynomial functions
HL 2.12: Polynomial functions, their graphs and equations; zeros, roots and factors; the factor and remainder theorems. You have studied linear functions and quadratic functions, but what about functions...
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HL 2.1 – Quadratic functions
SL 2.6: The quadratic function f(x)=ax^2+bx+c: its graph (called a parabola), y-intercept (0,c). Axis of symmetry. The form f(x)=a(x-p)(x-q), x-intercepts (p,0) and (q,0). The form f(x)=a(x-h)^2+k, vertex (h,k)...
eBook
HL 1.3 - Inverse functions
SL 2.2: Concept of inverse function; inverse function as a reflection in the line y = x; notation {f^{ - 1}}\left( x \right) SL 2.5: Finding the inverse function {f^{ - 1}}\left( x \right) HL 2.14: Finding...