What is a differential equation, the pendulum equation, and some basic numerical methods

The introduction to a series on visualizing core ideas of linear algebra.

The introduction to a series on visualizing core ideas of linear algebra.

Pupil outcome: I can use my knowledge of right-angled trigonometry to solve problems. Key learning points: - Sometimes an answer may be best left in an exact form - When dealing with right-angled trigonometry, it is important to look at...

Pupil outcome: I can apply trigonometric ratios to practical situations including angles of elevation and depression. Key learning points: - Trigonometric ratios are used in many scenarios - Trigonometric ratios are used to calculate the...

Pupil outcome: I can read values from the graphs and can identify how many solutions exist within a given range. Key learning points: - Reading solutions from trigonometric graphs is the same as reading solutions from any other graph -...

Pupil outcome: I can calculate trigonometric ratios for 30° and 60°. Key learning points: - The trigonometric ratios for 30° and 60° can be calculated using an equilateral triangle - The triangle should have lengths of 2 units - By...

Pupil outcome: I can use my knowledge of right-angled trigonometry to solve problems. Key learning points: - Sometimes an answer may be best left in an exact form - When dealing with right-angled trigonometry, it is important to look at...

Pupil outcome: I can use my knowledge of trigonometry to solve problems. Key learning points: - Non right-angled trigonometry can be applied in various contexts - It has the potential to be applied whenever a triangle can be drawn

Pupil outcome: I can appreciate the range of values of the trigonometric functions. Key learning points: - The unit circle is a circle with a radius of one - The unit circle is centered on the origin - The sine of an angle is the...

Pupil outcome: I can calculate trigonometric ratios for 0°, 45° and 90°. Key learning points: - The trigonometric ratios for 45° can be calculated using a square - The square should have lengths of 1 unit - By splitting the square into...

Pupil outcome: I can draw the graphs for the trigonometric functions sine and cosine. Key learning points: - The unit circle can help you predict what the graphs of the trigonometric functions will look like - The sine and cosine graphs...

Pupil outcome: I can use the formula for the area of any triangle. Key learning points: - The formula for the area of any triangle can be used if the lengths of 2 sides are known - The size of the angle between the two sides must also be...

Pupil outcome: I can use the sine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The sine ratio involves the hypotenuse, opposite and the angle - If you know the length of the hypotenuse and...

Pupil outcome: I can derive the formula for the area of any triangle. Key learning points: - The formula for the area of a right-angled triangle is 0.5 x base x perpendicular height - With an equilateral or isosceles triangle, you can...

Pupil outcome: I can use the sine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The sine ratio involves the hypotenuse, opposite and the angle. - If you know the length of the hypotenuse and...

Pupil outcome: I can see how the trigonometric functions are derived from measurements within a unit circle and how this can be utilised. Key learning points: - Trigonometric functions are derived from measurements within a unit circle -...

Pupil outcome: I can appreciate that the trigonometric functions are derived from measurements within a unit circle. Key learning points: - The unit circle is a circle with a radius of one. - The unit circle is centered on the origin. -...

What are the trigonometric functions and how did the sine function allow Indian astronomers to prove that the Sun was 400 times farther from Earth than the Moon? Maths - Shape A Twig Math Film. Reinforce and extend the learning required...

Hear sine waves as sound, and discover the equations that describe them: and the effect of increasing or decreasing the variables of amplitude and frequency. Maths - Shape A Twig Math Film. Reinforce and extend the learning required by...

In this video, we will understand the most popular plotting library in Python called Matplotlib and learn about plotting.
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This clip is from the chapter "Python for Data Science - Crash Course" of the series "Deep Learning -...

In this video, you will learn how to format our Matplotlib plot.
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This clip is from the chapter "Optional Learning - Python for Data Science - with Matplotlib" of the series "Deep Learning - Computer Vision for Beginners Using...

In this video, we will get introduced to Matplotlib.
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This clip is from the chapter "Optional Learning - Python for Data Science - with Matplotlib" of the series "Deep Learning - Computer Vision for Beginners Using PyTorch".In...

This video will illustrate how integrating a complicated function can be made simpler by rewriting the function before integrating.