Unit 3: Further Calculus and Introduction to Statistics - Mathematics

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Contents

Topic 1: Differentiation of Exponential and Logarithmic Functions

Topic 2: Differentiation of Trigonometric Functions and Differentiation Rules

Topic 3: Further Applications of Differentiation

Topic 4: Introduction to Integration

Topic 5: Discrete Random Variables

Topic 1: Differentiation of Exponential and Logarithmic Functions

DIFFERENTIATION I

Derivatives of Common Functions

Prof. Samir Siksek, Warwick University

Topic 2: Differentiation of Trigonometric Functions and Differentiation Rules

DIFFERENTIATION I

Derivatives of Common Functions

Prof. Samir Siksek, Warwick University

Topic 3: Further Applications of Differentiation

DIFFERENTIATION III

The Second Derivative

Prof. Samir Siksek, Warwick University

DIFFERENTIATION III

The Second Derivative at Stationary Points

Prof. Samir Siksek, Warwick University

DIFFERENTIATION III

Classifying Stationary Points

Prof. Samir Siksek, Warwick University

DIFFERENTIATION III

Differentiating a Composition of Functions: the Chain Rule

Prof. Samir Siksek, Warwick University

Topic 4: Introduction to Integration

INTEGRATION I

The Indefinite Integral and the Definite Integral

Prof. Ivan Contreras, Amherst College

INTEGRATION I

The Fundamental Theorem of Calculus

Prof. Ivan Contreras, Amherst College

INTEGRATION I

Integration Rules I

Prof. Ivan Contreras, Amherst College

INTEGRATION I

Integration Rules II

Prof. Ivan Contreras, Amherst College

Topic 5: Discrete Random Variables

PROBABILITY I – AQA (7357)

Probability Models: Discrete and Continuous Data

Prof. Duncan Lee, Glasgow University