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- | =Mathematics Standard Level=
| + | I can already tell that's gonna be super helupfl. |
- | This is a far more managable course than it's Higher Level brother.
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- | The SL course consists of:
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- | ===Algebra===
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- | o Linear equations
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- | o Linear inequalities
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- | o Straight-line graphs
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- | o Simultaneous linear equations
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- | o Factorisation
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- | o Quadratic equations
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- | o Completing the square
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- | o Quadratic formula
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- | o Disguised quadratic equations
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- | o Sketching the graph of a quadratic function
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- | o Algebraic fractions
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- | ===Circular functions and trigonometry===
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- | o Triangles
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- | o Radian measure
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- | o The functions of sin, cos and tan
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- | o Sine and Cosine rules
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- | ===Functions and equations===
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- | o Transforming the graph of a function
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- | o Mappings
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- | o Composite Functions
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- | o Inverse Functions
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- | ===Differentiation 1===
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- | o Gradient of a curve
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- | o The derivative of y = ax^n
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- | o Sum of difference of two functions
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- | o The second derivative
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- | o Tangents and normals to a curve
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- | o Gradient as a rate of change
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- | o Maximum, minimum and point of inflexion
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- | o Practical applications of maxima and minima
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- | ===Intergration===
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- | o Anti-differentiation
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- | o Variable acceleration
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- | o Area under a curve
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- | o Volume of revolution about the x-axis
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- | ===Sequences and series===
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- | o Sequences
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- | o Series and sigma notation
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- | o Arithmetic sequences
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- | o Geometric sequences
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- | o Infinite geometric sequences
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- | o Binominal expansions
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- | ===Differentiation 2===
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- | o Funtion of a function
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- | o The product and quotient rules
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- | o Applications of differentiation
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- | ===Further Trigonometry===
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- | o The functions sin x, cos x, tan x
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- | o Trigonometric equations
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- | o Double angles
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- | ===Calculus with Trigonometry===
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- | o Sin x and cos x
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- | o Differentiating tan x
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- | o Applications
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- | ===Exponents and Logarithms===
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- | o Negative and fractional exponents
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- | o Surds
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- | o Logarithms
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- | o The exponential function
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- | There is a critical shortage of informative airtcels like this.
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- | ===Matrices===
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- | o Introduction to matrices
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- | o Matrix multiplication
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- | o 2x2 matrices
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- | o 3x3 matrices
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- | ===Vectors===
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- | o Introduction
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- | o Addition and subtraction of vectors
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- | o Position vectors
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- | o The scalar product
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- | o Vector equation of a line
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- | o Applications of vectors
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- | ===Probability===
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- | o Combined events
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- | o Conditional probability
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- | ===Statistics===
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- | o Population and samples
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- | o Diagrammatic representation of data
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- | o Mode, Median and mean
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- | o Measures of dispersion
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- | o Cumulative frequency
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- | o Histograms
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- | o Random Variables
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- | o The binomial distribution
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- | o The normal distribution
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I can already tell that's gonna be super helupfl.