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Exponentials, logarithms and exponential models

Pure mathematics · Lesson 17 of 26

Lesson 17 of 26

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Lesson 17 of 26 · Pure mathematics

Exponentials, logarithms and exponential models

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By the end you’ll be able to

Use and manipulate the laws of logarithms, including change of base where appropriate.
Sketch and interpret graphs of exponential and logarithmic functions.
Solve exponential equations and logarithmic equations exactly or numerically as appropriate.
Use the relationship between exponential and logarithmic functions as inverses.

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Functions, domain, range and composite functions1 h 30 min of study

Inverse functions and graph transformations1 h 30 min of study

Straight lines, distance and midpoints1 h 15 min of study

Circles and tangents1 h 15 min of study

Sequences, series and sigma notation1 h 30 min of study

Binomial expansion for positive integer powers1 h of study

Binomial series for fractional and negative powers1 h 15 min of study

Radians, arc length and sector area1 h of study

Trigonometric functions and graphs1 h 30 min of study

Trigonometric identities and equations1 h 45 min of study

Exponentials, logarithms and exponential modelsReading · 0%

Differentiation rules2 h of study

Applications of differentiation1 h 45 min of study

Integration and definite integrals2 h of study

Techniques of integration2 h of study

Numerical methods and iteration1 h 15 min of study

Parametric equations and parametric calculus1 h 15 min of study

Vectors in two and three dimensions1 h 45 min of study

Differential equations and mathematical models1 h 30 min of study

Complex numbers and Argand diagrams1 h 30 min of study

Construct and use exponential models for growth and decay, including repeated percentage change and continuous models where specified.

Interpret parameters and solutions in contextual exponential models.

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