Unit 2: Calculus and Further Functions - Mathematics

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Contents

Topic 1: Exponential Functions

Topic 3: Introduction to Differential Calculus

Topic 4: Applications of Differential Calculus

Topic 5: Further Differentiation

Topic 1: Exponential Functions

GRAPHS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Graphing Exponential Functions

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Exponential Graphs in Real Contexts

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Finding Equations From Exponential Graphs

Prof. Keith Ball, Warwick University

Topic 3: Introduction to Differential Calculus

DIFFERENTIATION I

Straight Lines and Gradients

Prof. Samir Siksek, Warwick University

DIFFERENTIATION I

Defining the Gradient of the Tangent to a Curve

Prof. Samir Siksek, Warwick University

DIFFERENTIATION I

Defining the Derivative

Prof. Samir Siksek, Warwick University

DIFFERENTIATION I

Differentiation From First Principles

Prof. Samir Siksek, Warwick University

Topic 4: Applications of Differential Calculus

DIFFERENTIATION II

Increasing and Decreasing Functions

Prof. Samir Siksek, Warwick University

DIFFERENTIATION II

Stationary Points, Local Maxima, and Local Minima

Prof. Samir Siksek, Warwick University

Topic 5: Further Differentiation

DIFFERENTIATION I

Derivatives of Common Functions

Prof. Samir Siksek, Warwick University

DIFFERENTIATION II

Differentiation Rules

Prof. Samir Siksek, Warwick University

DIFFERENTIATION III

Differentiating a Composition of Functions: the Chain Rule

Prof. Samir Siksek, Warwick University