Complete notes including notes on Topic 9, the Calculus Option This is a collection of all of the notes I have written for my IB Maths HL class. They are handwritten, concise notes, covering the whole course in 100 pages. Topic 1 - Algebra - 21 Pages Topic 2 - Functions - 10 Pages Topic 3 - Trigonometry - 6 Pages Topic 4 - Vectors - 10 Pages Topic 5 - Statistics & Probability - 10 Pages Topic 6 - Calculus - 20 Pages Topic 9 - Calculus Option - 23 Pages If you would like to see what you would be getting, you can download Topic 1 of IB SL or IB Math Studies for free. I hope you enjoy, and please ‘follow’, as I will be uploading other IB resources soon.

Handwritten notes that I made for my HL students on the Calculus Option (topic 9) in the IB. These are 23 pages of concise, rich notes, that clarify some of the more complicated aspects of this topic such as Rolle’s theorem or homogeneous differential equations. I use these to inform my teaching, to tell me what I need to cover next, as well as giving the notes to my students so that they can listen properly instead of frantically copying things down from the board. Subtopics: 9.1 - Limits, Squeeze Thm., L’Hôpital’s Rule, Improper Integrals 9.2 - Series and Convergence tests 9.3 - Power Series, Taylor/Maclaurin Series, Error Bounds 9.4 - Continuity, Differentiability, Rolle’s Thm., Mean Value Theorem, Reimann Sums 9.5 - Differential Equations, Separable, Linear, Homogeneous, Euler’s Method, Slope Fields If you are an HL teacher (or student) and you found these helpful, please ‘follow’ me, then you will see as soon as additional content for the HL course.

Handwritten notes that I made for my HL students on Topic 6 in the IB - Calculus. It is one of the biggest and most important topics in the course, so despite being 20 pages long, these are concise, rich notes. (Note: This is just the regular Calculus section of the syllabus, not the option). It includes: 6.1 - Limits, First Principles, Equation of Tangent/Normal, Increasing/Dec. Regions, Higher Derivatives 6.2 - Derivative Rules, Chain/Product/Quotient Rules, Implicit Differentiation, Related Rates 6.3 - Stationary/Inflection Points, Applications of Differentiation 6.4 - Basic Integration Rules 6.5 - Definite Integrals, Area (x & y-axis), Volume 6.6 - Kinematics 6.7 - Integration By Parts/By Substitution If you are an HL teacher (or student) and you found these helpful, please ‘follow’ me, then you will see as soon as I get around to uploading the remaining topics of the HL course.

Handwritten notes I made for my IB students: - Data Classification - Frequency Tables - Grouped Frequency - Box Plots - Cumulative Frequency - Central Tendency - Dispersion

Handwritten notes that I made for my IB students: - Straight lines y=mx+c - SOHCAHTOA - Sine/cosine/area rules - 3D Trig - Volume/Surface Area

Handwritten notes that I made for my HL students on Topic 3 in the IB - Trigonometry & Circular Functions. It includes: 3.1 - Area of sector, arc length, radians 3.2 - Unit circle, exact values, tan=sin/cos, sec/cosec/cot, pythagorean identities 3.3 - Compound angle, double angle formulae (with derivation of both) 3.4 - Graphs of sin/cos/tan, rules for all transformations of these 3.5 - Inverse trig functions, their graphs, their domains/ranges 3.6 - Solving trig equations, proving identities, simplifying trig expressions 3.7 - Triangle rules, sine/cosine/area rules If you are an HL teacher (or student) and you found these helpful, please 'follow' me, then you will see as soon as I get around to uploading the remaining topics of the HL course (Feb/March/April 2018).

Handwritten notes I made for my IB students: - Basics of linear functions - Quadratics - Exponentials - Higher powers - Intersections

Handwritten notes I made for my IB students: - Compound Statements - Truth Tables - Conditional Statements - Sets - Probability

Handwritten Maths Studies notes that I wrote for my students: - Correlation/regression - Chi-squared testing - Normal Distribution

Handwritten notes I made for my IB students: - Basic power rule of differentiation - Finding gradients - Increasing/decreasing functions - Stationary points - Optimisation

Handwritten notes on topic 5 that I did for my IB students: 5.1 - Basics 5.2 - Averages/Dispersion 5.3 - Cumulative Frequency 5.4 - Correlation 5.5 - Probability 5.6 - Combined Events 5.7 - Discrete Random Variables 5.8 - Binomial Distribution 5.9 - Normal Distribution Includes all the instructions for the calculator processes for TI-84 and TI-nspire. Plus: An A3 revision poster

Handwritten notes that I made for my HL students on Topic 5 in the IB - Statistics & Probability. These are 10 pages of concise, rich notes, with attention given to the additional content in HL over the SL stats topic (continuous random variables, prob. density functions, poisson distribution). 5.1 - Presentation of Data 5.2 - Probability I 5.3 - Probability II 5.4 - Conditional Probability 5.5 - Discrete random variables, continuous random variables, prob. density functions 5.6 - Binomial distribution, Poisson distribution 5.7 - Normal distribution If you are an HL teacher (or student) and you found these helpful, please ‘follow’ me, then you will see as soon as I get around to uploading the remaining topics of the HL course.

Handwritten notes that I made for my HL students on Topic 2 in the IB - Functions. It includes: 2.1 - Concepts (Domain, range, composite, inverse, domain restriction, odd/even functions) 2.2 - Graph Features (Intercepts, asymptotes, absolute value graphs) 2.3 - Transformations 2.4 - Rational, Log, Exp. graphs 2.5 - Polynomials (+ factor and remainder theorem) 2.6 - Quadratics (+ sum and product of roots for quad. and poly.) 2.7 - Inequalities If you are an HL teacher (or student) and you found these helpful, please 'follow' me, then you will see as soon as I get around to uploading the remaining topics of the HL course (Feb/March/April 2018).

Handwritten notes that I made for my HL students on Topic 4 in the IB - Vectors. These are 10 pages of concise, rich notes, with special attention given to the additional content in HL over the SL vectors topic (planes, cross product, etc). 4.1 - Basics 4.2 - Scalar Product 4.3 - Vector Equations 4.4 - Intersection Points of 2 Lines 4.5 - Vector/Cross Product 4.6 - Equations of Planes, Parametric, Cartesian 4.7 - Intersection of lines/planes, 3 planes, angles of lines/planes If you are an HL teacher (or student) and you found these helpful, please ‘follow’ me, then you will see as soon as I get around to uploading the remaining topics of the HL course.

Handwritten notes that I made for my HL students on Topic 1 of Algebra in the IB. It includes: 1.1 - Sequences & Series 1.2 - Exponents and Logs 1.3 - Binomial Expansion & Permutations/Combinations 1.4 - Proof by Induction 1.5 - Complex Numbers 1.6 - Complex (Polar Form) 1.7 - De Moivre's Theorem/Euler's Theorem 1.8 - Complex Conjugate Roots of Polynomials 1.9 - Solving Systems of Equations with 3 variables If you are an HL teacher (or student) and you found these helpful, please 'follow' me, then you will see as soon as I get around to uploading the remaining topics of the HL course (Feb/March/April 2018).

Handwritten notes I made for my IB students: 2.1 - Concepts 2.2 - Graph Features 2.3 - Transformations 2.4 - Quadratics 2.5 - Rationals 2.6 - Exponential/Log Graphs Plus: An A3 revision poster

Handwritten notes on topic 4 that I did for my IB students: 4.1 - Vector Basics 4.2 - Scalar Product, angle, parallel/perp. 4.3 - Vector Equations 4.4 - Intersection Points Plus: An A3 revision poster

Handwritten notes on topic 6 (calculus) that I did for my IB students: - Fundamentals - Basic differentiation rules - Chain/product/quotient rules - Finding gradients - Finding tangent/normal eq. - Finding turning points/inflection points - Kinematics - Basic integration rules - Integration by substitution - Area under curve - Volume within rotated curve There is a pdf of the whole thing, plus: An A3 revision poster