Standard Level

From Ibstudy

(Difference between revisions)
(Calculus with Exponents and Logarithms)
(Mathematics Standard Level)
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=Mathematics Standard Level=
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I can already tell that's gonna be super helupfl.
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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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Revision as of 09:25, 6 September 2011

I can already tell that's gonna be super helupfl.

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