Are you an IB student striving for excellence in Mathematics? Our expert IB Maths Tutors are here to guide you every step of the way. Whether you're tackling challenging calculus problems or mastering statistics, our personalized tutoring sessions will help you succeed in the International Baccalaureate (IB) Mathematics curriculum.
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Tailored Support for Every Level: We offer comprehensive support for both IB Mathematics: Analysis and Approaches (AA) and IB Mathematics: Applications and Interpretation (AI) at SL and HL.
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Experienced Tutors: Our tutors are IB examiners with years of experience helping students achieve top scores.
Concept Clarity and Confidence: We focus on breaking down complex concepts into simple, understandable steps, boosting your confidence and understanding.
Exam Preparation: Learn effective strategies for solving past paper questions, time management, and maximizing your marks in exams.
Flexible Learning Options: Choose from one-on-one online tutoring designed to fit your schedule.
What We Cover in IB Maths AA Tutoring
1 Topic 1: Number and algebra
1.1 Numbers and algebra
1.2 Arithmetic sequences and series
1.3 Geometric sequences and series
1.4 Financial applications - compound interest, annual depreciation
1.5 Introduction to logarithms
1.6 Simple proof
1.7 Laws of exponents and logarithms
1.8 Sum of infinite geometric sequences
1.9 Binomial theorem where n is an integer
1.10 Permutations, combinations, binomial with negative and fractional indices
1.11 Partial fractions
1.12 Complex numbers - Cartesian form and Argand diagram
1.13 Polar and Euler form
1.14 Complex roots of polynomials, conjugate roots, De Moivre's theorem, powers and roots of complex numbers
1.15 Proof by induction, contradiction, counterexamples
1.16 Solution of systems of linear equations
2 Topic 2: Functions
2.1 Equations of straight lines, parallel and perpendicular lines
2.2 Functions, notation domain, range and inverse as reflection
2.3 Graphing
2.4 Key features of graphs, intersections using technology
2.5 Composite functions, identity, finding inverse function
2.6 Quadratic functions
2.7 Solutions of quadratic equations and inequalities, discriminant and nature of roots
2.8 Reciprocal and simple rational functions, equations of asymptotes
2.9 Exponential and logarithmic functions
2.10 Solving equations graphically and analytically
2.11 Transformation of functions
2.12 Factor and remainder theorems, sum and product of roots
2.13 Rational functions
2.14 Odd and even functions, self-inverse, inverse and domain restriction
2.15 Solutions of inequalities
2.16 Graphing modulus equations and inequalities
3 Topic 3: Geometry and trigonometry
3.1 3d space, volume, angles, distance, midpoints
3.2 2d and 3d trigonometry, sine rule, cosine rule, area
3.3 Applications: angles of elevation and depression, bearings
3.4 Circle: radians, arcs, sectors
3.5 Unit circle definitions of sin, cos, tan. Exact trigonometric ratios, ambiguous case of sine rule
3.6 Pythagorean identity, double angles
3.7 Circular functions: graphs, composites, transformations
3.8 Solving trigonometric equations
3.9 Reciprocal trigonometric ratios and their Pythagorean identities. Inverse circular functions
3.10 Compound angle identities
3.11 Relationships between trigonometric functions
3.12 Vector definitions
3.13 Scalar (dot) product
3.14 Vector equation of a line
3.15 Classification of lines
3.16 Vector product
3.17 Vector equations of a plane
3.18 Intersections of lines and planes
4 Topic 4: Statistics and probability
4.1 Concepts, reliability and sampling techniques
4.2 Histograms, CF graphs, box plots
4.3 Mean, median, mode. Mean of grouped data, standard deviation. Quartiles, IQR
4.4 Pearson's correlation, scatter diagrams, equation of y on x
4.5 Probability concepts, expected numbers
4.6 Combined, mutually exclusive, conditional, independence, probability diagrams
4.7 Discrete random variables
4.8 Binomial distribution
4.9 Normal distribution and calculations
4.10 X on y regression line
4.11 Conditional and independent probabilities, test for independence
4.12 Z values, inverse normal to find mean and standard deviation
4.13 Bayes theorem
4.14 Properties of discrete and continuous random variables
5 Topic 5: Calculus
5.1 Introduction to differential calculus
5.2 Increasing and decreasing functions
5.3 Diffrentiating polynomials, n E Z
5.4 Tangents and normal
5.5 Introduction to integration, areas between curve and x axis
5.6 Diffrentiating polynomials n E Q. Chain, product and quotient rules
5.7 The second derivative
5.8 Testing for max and min, optimisation. Points of inflexion
5.9 Kinematics problems
5.10 Indefinite integration, reverse chain, by substitution
5.11 Definite integrals, areas under curve onto x-axis and areas between curve
5.12 First principles, higher derivatives
5.13 Limits and L'Hopital's rule
5.14 Implicit functions, related rates, optimisation
5.15 Further derivatives and indefinite integration of these, partial fractions
5.16 Integration by substitution, parts and repeated parts
5.17 Areas under curve onto y-axis, volumes of revolution (about x and y axes)
5.18 1st order differential equations - Euler's method, variables separable, integrating factor, homogeneous DE using sub y=vx
5.19 Maclaurin series
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