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Algebra Basic (Percentage Series)
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00:13 - [ Introductory]
00:28 - [ Examples ]
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Mathematics Tutorial Module Series
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✓ Number and algebra,
✓ Areas and volumes,
✓ Geometric and trigonometry,
✓ Complex numbers,
✓ Matrices and determinants,
✓ Vector geometry,
✓ Differential calculus,
✓ Integral calculus,
✓ Statistics and probability,
✓ Laplace transform,
✓ Fourier series,
Basic arithmetic
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✓ Fraction
✓ Decimal
✓ Percentages
✓ Ratio and proportion
✓ Simple equations
✓ Transposing formulae
✓ Solving simultaneous equation
✓ Solving quadratic equation
✓ Logarithms
✓ Exponential function
✓ Inequalities
Advance Algebra
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✓ Polynomial
✓ Number sequences
✓ Binomial seriers
✓ Partial fraction
✓ Hyperbolic function
✓ Binomial series
✓ Maclaurin series
✓ Iterative problems
✓ Boolean algebra and logic circuits
Areas and Volumes
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✓ Areas of common shapes
✓ The circle and its properties
✓ Volumes and surface areas of common solids
✓ Irregular areas and volumes and mean values
Graphs
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✓ Straight line graphs
✓ Graphs reducing non-linear laws to linear form
✓ Graphs with logarithmic scales
✓ Polar curve
Geometry and Trigonometry
======================
✓ Angles and triangles
✓ Trigonometry
✓ Cartesian and polar coordinates
✓ Non-right-angled triangles
✓ Trigonometric Identities
✓ Compound angles
Complex Numbers
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✓ Complex numbers
✓ Molvre's Theorem
Matrices and Determinants
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✓ Theory of matrices and determinants
✓ Application of matrices and determinants
Vector Geometry
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✓ Vectors
✓ Scalar and vector products
Differential Calculus
✓ Method of differentiation
✓ Intro to differentiation
✓ Application of differentiation
✓ Differentiation of parametric equation
✓ Differentiation of implicit functions
✓ Logarithmic differentiation
✓ Differentiation of hyperbolic function
✓ Differentiation of inverse trigonometric and hyperbolic function
✓ Partial differentiation
✓ Rate of change
✓ Maxima, minima and function of two variables
Integral Calculus
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✓ Standard integration
✓ Integrating using algebraic substitution
✓ Integration using partial fraction
✓ Integration by parts
✓ Reducing formulae
✓ Centroid of simple shapes
✓ Numerical integration
✓ Mean and root mean square values
Differential Equation
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✓ Solution of first-order differential equation
✓ Homogeneous first-order differential equations
✓ Numerical methods for first-order differential
✓ Second-order differential equations
✓ Power series methods of differential equation
Statistics and Probability
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✓ Mean, median and mode and standard deviation
✓ Probability
✓ Binomial and Poisson Distribution
✓ The normal distribution
✓ Linear correlation
✓ Linear regression
✓ Sampling and significance testing
✓ Chi-square
Laplace Transforms
Fourier Series