QCE Mathematical Methods 3/4
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Logarithmic functions (Unit 3 Topic 1)
1.1 Log Laws
1.2 Sketching Logs
1.3 Applications of Logs
Logarithmic functions (Unit 3 Topic 1)
Differentiation Rules (Unit 3 Topic 2)
FREE PREVIEW2.1 Chain Rule
FREE PREVIEW2.2 Differentiating exponentials and logarithms
FREE PREVIEW2.3 Differentiating trigonometric functions
FREE PREVIEW2.4 Product Rule
FREE PREVIEW2.5 Quotient Rule
Differentiation Rules (Unit 3 Topic 2)
Applications of Differentiation (Unit 3 Topic 2)
3.1 Tangents and Normals
3.2 Differentiation and rates of change (Part 1)
3.2 Differentiation and rates of change (Part 2)
3.3 Differentiation and one-dimensional motion (Part 1)
3.3 Differentiation and one-dimensional motion (Part 2)
3.4 Stationary Points
3.5 Differentiation and sketching functions
Applications of Differentiation (Unit 3 Topic 2)
Indefinite Integrals (Unit 3 Topic 3)
4.1 Introduction to Indefinite Integrals
4.2 Integrating polynomials, exponentials and logs
4.3 Integrating trigonometric functions
4.4 Integration by Recognition
4.5 Integrals and motion in one-dimension
Indefinite Integrals (Unit 3 Topic 3)
Definite Integrals (Unit 3 Topic 3)
5.1 Estimating area under curves
5.2 Using definite integrals to determine area under curves
5.3 Area between two functions
5.4 Average value of a function
5.5 Definite integrals and one-dimensional motion
5.6 Definite integrals and rates of change
Definite Integrals (Unit 3 Topic 3)
Second Derivative and optimisation (Unit 4 Topic 1)
6.1 Second derivatives and sketching functions
6.2 Optimisation
6.3 Optimisation on an interval
6.4 Optimisation involving geometry
Second Derivative and Optimisation (Unit 4 Topic 1)
Trigonometry (Unit 4 Topic 2)
7.0 Revision of Trigonometry
7.1 Congruency
7.2 Sine Rule (part 2 - combine with other)
7.2 Sine Rule (part 2 - combine with other)
7.3 Cosine Rule
7.4 Area of Triangles
7.5 Angles of depression and elevation
7.6 Bearings
7.7 3D Trigonometry
Trigonometry (Unit 4 Topic 2)
Discrete random variables (Unit 4 Topic 3)
8.1 Binomial Probability
8.2 Mean, variance, and solving for sample size
Discrete random variables (Unit 4 Topic 3)
Continuous random variables (Unit 4 Topic 4)
10.1 Introduction to continuous random variables
10.2 Histograms
10.3 Probability Density Function
10.4 Evaluating Limits with PDFs
10.5 Percentiles with PDFs
10.6 Mean and Variance of PDFs
10.7 Cumulative Distribution Function
Continuous random variables (Unit 4 Topic 4)
The normal distribution (Unit 4 Topic 4)
10.1 Introduction to the normal distribution
10.2 Finding normal probabilities
10.3 Finding z-values
10.4 Applications of the normal distribution
The normal distribution (Unit 4 Topic 4)
Sampling and estimation (Unit 4 Topic 5)
11.1 Introduction to Sampling
11.2 Defining variables for sampling
11.3 Sample proportions using combinations (Part 1)
11.3 Sample proportions using combinations (Part 2)
11.4 Sample proportions with binomial approximation
11.5 Sample proportions with normal approximation
11.6 Confidence Intervals
11.7 Confidence vs Probability
11.8 Finding the sample size
11.9 Deriving sample proportion formulae
11.10 Deriving confidence interval formula
Sampling and estimation (Unit 4 Topic 5)
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