IBHL integration by substitution. Standard integrals. Integration by parts. Using partial fractions to integrate. 21 pages of notes with examples. 14 questions with answers.
Covers IBHL Analysis and Approaches : Implicit differentiation. Differentiation of trig and inverse trig functions. Differentiation of exponential and logarithmic functions. Set of questions included (with answer key)
Differentiation for both IBHL and IBSL. Stationary points. Points of inflection and concavity. Graphing derivatives. Optimization. Product rule and Quotient rule. 18 pages of notes plus 15 questions (with answers).
Cartesian and vector line equations. 2-D and 3-D. Intersecting lines. Parallel and skew lines. Angle between two lines. Contains detailed notes and examples of each type of problem. There is also a set of 12 questions for student use. Answers are
Notes and examples on material required for Topic 3 on IBHL (Analysis and Approaches) : Radians and arc length/sector area. Unit circle and special triangles. Compound and double angles. Questions and answer key included.
Intersection of 2 Planes : three situations. Intersection of 3 Planes : seven situations. Use of TI 84 to solve plane equations. Exercises with answers.
An introduction to IBSL/HL differentiation. Chain Rule. Rates of change. Differentiation from first principles. Set of questions (plus answers) included.
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TEACHING EXPERIENCE
30 years teaching the IB program. IB examiner for 20 years.