Analysis and Approaches

In this page you will find everything you need to prepare yourself in the best possible way. From written notes and videos that present theory to exercises that test your understanding. 

Topic 1: Number and Algebra

1.2 Arithmetic Sequences (Introduction):   NOTES   VIDEO   EXERCISES

1.2 Proving that a sequence is arithmetic:   NOTES  VIDEO   EXERCISES

1.2 Using the general term formula:   NOTES   VID1   VID2   VID3   EXERCISES

1.2 Sum of first n terms of an a.s.:   NOTES   VIDEO   EXERCISES

1.2 Partial sums in an a.s. :   NOTES   VIDEO   EXERCISES

1.7 Introduction to logarithms and their laws:   NOTES   VIDEO   EXERCISES

1.7 Solving Logarithmic Equations:   NOTES   NOTES 2 WITH EXERCISES  VIDEO 

1.16 HL Mathematical Induction:   NOTES   VIDEO   EXERCISES   EXE2

Topic 2: Functions

2.1a Introduction to straight Lines:   NOTES   VIDEO   EXERCISES

2.1b Different forms of a straight line's equation:   NOTES   VIDEO   EXERCISES

2.2a Concept of a function (definitions):   VIDEO

2.2b Domain and Range of a function:   VIDEO

2.2c Inverse Functions:   VIDEO

2.4a Key features of a graph:   VIDEO

2.5a Composite functions:  VIDEO

2.5b Finding the inverse of a function:   NOTES   VID1   VID2   EXERCISES
2.5c Graph of an inverse function:   NOTES   VIDEO   EXERCISES

2.6a Quadratic function:   NOTES   VIDEO   EXERCISES

2.6b Different forms of quadratic functions:   NOTES   VIDEO   EXERCISES

2.6c Changes between forms of quadratic functions:   NOTES   VIDEO   EXERCISES

2.7a Solving quadratic equations:   NOTES   VIDEO   EXERCISES

2.7b Solving quadratic inequalities:   NOTES   VIDEO   EXERCISES

2.7c Relation between discriminant and roots:   NOTES   VIDEO   EXERCISES

2.8a Reciprocal function:   VIDEO

2.8 Asymptotes of a rational function:   NOTES   VIDEO   EXERCISES

2.9 Logarithmic function:   NOTES   VIDEO   EXERCISES

Topic 3: Geometry and Trigonometry

3.1a Distance and midpoint formulas:   VIDEO

3.1b Areas and Volumes of common 3D shapes:   VIDEO

3.1c Pyramids and hidden right triangles in them:   VIDEO

3.2a Sine, Cosine and tangent ratios formed in a right triangle:   VIDEO

3.2b Sine and Cosine rules:   VIDEO

3.2c Area of a triangle:   VIDEO

3.2  Working with triangles: METHODOLOGY

3.3a Angles of elevation and depression:   VIDEO

3.3b Using true bearings:   NOTES   VIDEO   EXERCISES

3.4  Length of arc and Area of sector:   VIDEO

3.5a Trigonometric ratios of 0, 30, 45, 60 an 90 degrees:   NOTES   VIDEO   EXERCISES

Topic 4: Probability and Statistics

4.1 Concepts of Statistics:   NOTES   VIDEO   EXERCISES

4.2a Frequency tables of discrete and continuous data:

4.2b Histograms and Cummulative frequency graphs:

4.2c Median and IQR through cummulative frequency graphs:

4.2d Box whisker diagram:   NOTES   VIDEO   EXERCISES

4.3a Mean, median, mode in ungrouped data:

4.3b Mean in grouped data:

4.3c Mean in word problems:

4.3d Range, IQR, variance and standard deviation in ungrouped data:

4.3e Effects of constant changes on data:   NOTES   VIDEO   EXERCISES

4.4a Scatter diagram and Pearson's correlation coefficient:   NOTES   VIDEO   EXERCISES

4.7 Probability distribution of a random variable:   NOTES   VIDEO   EXERCISES

4.8 Binomial Distribution:   NOTES   VIDEO   EXERCISES

4.14a HL Variance of a discrete random variable:   NOTES   VIDEO   EXERCISES

Topic 5: Calculus

5.1 Introduction to the concept of a limit:   NOTES   VIDEO   EXERCISES

5.1 Derivative interpreted as gradient function:   NOTES   VIDEO   EXERCISES

5.2 Monotonicity and derivatives:   NOTES   VIDEO   EXERCISES

5.3: Derivatives of power functions, power rule:   NOTES   VIDEO   EXERCISES

5.4: Tangents and normals at a given point:   NOTES   VIDEO   EXERCISES

5.9: Kinematics:   NOTES   VIDEO-1   VIDEO-2   EXERCISES

5.14 HL Implicit Differentiation:   NOTES   VIDEO   EXERCISES