1 Maximum & Minimum
2 Turning Points
3 Stationary Points
4 Non-Stationary Turning Points (1 of 2)
5 Non-Stationary Turning Points (2 of 2)
6 Introduction to Points of Inflexion
7 The Special Case of x^4
8 Horizontal Points of Inflexion
9 Overview of Critical Points (1 of 2)
10 Overview of Critical Points (2 of 2)
11 Overview of Critical Points: Examples (1 of 2)
12 Overview of Critical Points: Examples (2 of 2)
13 Finding and Confirming Turning Points
14 Curve Sketching: Locating Stationary Points
15 Curve Sketching: Determining Nature of SPs
16 Curve Sketching: Drawing the Graph
17 Sign of the First Derivative
18 Second Derivative: A Physical Analogy
19 Second Derivative: Concavity
20 Second Derivative: Notation
21 Second Derivative: Relationship w/ First Derivative
22 Graphing w/ the First Derivative
23 Graphing w/ the Second Derivative
24 Choosing First or Second Derivative
25 Graph Behaviour Chart
26 Implicit Differentiation
27 Implicit Differentiation - example question
28 Visual Approach to Derivatives (1 of 2)
29 Visual Approach to Derivatives (2 of 2)
30 Y11 Mathematics Ext 1 Quiz (1 of 2: Curve sketching with calculus)
31 Introduction to Solids of Revolution
32 Verifying Formulae for Cylinder, Cone & Sphere
33 Compound Volumes (1 of 2)
34 Compound Volumes (2 of 2)
35 Volumes: Examples around x-axis & y-axis
36 Subtraction of Volumes
37 Subtraction of Volumes: Class Discussion
38 Volume within a Cone (1 of 3: Separating variables and constants for differentiation)
39 Volume within a Cone (2 of 3: Finding Volume in terms of a single variable to differentiate)
40 Volume within a Cone (3 of 3: Finding the Stationary Points to determine the maximum volume)
41 Solids of Revolution (1 of 3: What happens when you rotate an area around an axis?)
42 Solid of Revolution (2 of 3: Finding Volume of the Solid of Revolution using Volume of a cylinder)
43 Solids of Revolution (3 of 3: Finding the Volume of an area rotated around the y axis)
44 Conical Volume (1 of 2: Derivation of the Volume of a Cone through Solids of Revolution)
45 Spherical Volume (2 of 2: Derivation of the Volume of a Sphere through Solids of Revolution)
46 Difference between Volumes (1 of 2: Method to finding the difference between volumes)
47 Difference Between Volumes (2 of 2: Investigating the relationship between Parabolas & Cylinders)
48 Intro to Solids of Revolution (1 of 3: Establishing the formula)
49 Intro to Solids of Revolution (2 of 3: Simple worked example)
50 Intro to Solids of Revolution (3 of 3: Other axes, volume of a sphere)
51 Solids of Revolution - Subtracting Volumes
52 Non-Standard Integrals: "Differentiate, hence integrate" (1 of 2)
53 Non-Standard Integrals: "Differentiate, hence integrate" (2 of 2)
54 Areas Under Curves: Logarithmic Functions
55 Integration & Logarithmic Functions: Log Integrands (1 of 2)
56 Integration & Logarithmic Functions: Log Integrands (2 of 2)
57 Integration & Logarithmic Functions: Non-Log Integrands (1 of 3)
58 Integration & Logarithmic Functions: Non-Log Integrands (2 of 3)
59 Integration & Logarithmic Functions: Non-Log Integrands (3 of 3)
60 Areas Under Curves: Logarithmic Functions (Alternative Approach)
61 Applications & Implications of d/dx(½v²): Concrete Example
62 Motion Exam Question (1 of 2: Finding v(x) from a(x))
63 Motion Exam Question (2 of 2: Finding x(t) from v(x))
64 Differentiating x^x (3 of 3: Implicit Differentiation)
65 Implicit Differentiation (Differentiating a function without needing to rearrange for x or y)
66 Rates of Change (1 of 4: Finding the Volume of an unknown height of water with a diagram)
67 Maximum/Minimum with Quadratics (1 of 2: Axis of symmetry)
68 Maximum/Minimum with Quadratics (2 of 2: Completing the square)
69 Max/Min Question: Cutting a Wire in Two (1 of 2: Setting up the equations)
70 Max/Min Question: Cutting a Wire in Two (2 of 2: Finding the minimum)
71 Challenging Max/Min Exam Question
72 Graphing Logarithmic Function with Calculus (1 of 2: Identifying features)
73 Graphing Logarithmic Function with Calculus (2 of 2: Constructing the sketch)
74 Differential Equation in terms of Dependent Variable (1 of 2: Partial Fractions)
75 Differential Equation in terms of Dependent Variable (2 of 2: Integration)