# IB Math Standard Level Revision

 Revision – 1 Algebra Arithmetic and Geometric Sequence and Series Exponents and Logarithms Binomial theorem and expansion Revision – 2 Functions and Equations Domain, range, odd, even, composite, identify and inverse, one to one and many to one functions Inverse functions including domain restriction, self-inverse functions Key features of graphs such as maximum, minimum, intercepts, horizontal and vertical asymptotes, and symmetry,  considering its domain and range and sketching the graphs. The graphs of the functions y =|f(x)| and y = f(|x|) The graph of 1/f(x)  given the graph of y = f(x) Transformation of graphs; translations; stretches; reflections in the axes The graph of the inverse function as a reflection in y = x Revision – 3 Trigonometry Length of an arc; area of a sector The unit circle Trigonometric identities and problem-solving Compound angle and double angle identities. Composite functions of the form f(x) = a sin (b(x + c)) + d Algebraic and graphical methods of solving trigonometric equations. Revision – 4 Vectors Unit vectors, Position vectors, Parallel vectors The scalar product of vectors and its properties The angle between vectors, parallel and perpendicular vectors Vector equation of a straight line in 3 – D, applications to kinematics, the point of intersection and angle between two lines. Coincident, parallel, Intersecting and skew lines, Distinguishing between these cases. Revision – 5 Statistics & Probability Mutually exclusive Events Conditional Probability Concept of discrete and continuous random variables and their probability distributions Probability density functions Expected value ( mean), Mode, median,    variance and standard deviation and it applications Binomial Distributions Normal distribution Revision – 6 Calculus Differentiation by first principles Rate of change Tangent and normals Sketching graphs and its derivatives Optimization problems Graphical behaviors of functions and point of inflections Integrating composite functions Area and volume.