Mathematics (數學) for Physics

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Presentation transcript:

Mathematics (數學) for Physics Equation (方程式) and Graph (圖表) Equation of a straight line (直線) Sine (正弦) Function

Class Exercise 2.1 Plot the graph of y = 3x from x = 0 to x = 4. x 1 2 3 4 y What is the value of y when x = 0? If x increases by 1 unit, what is the change in y?

Class Exercise 2.1 Plot the graph of y = 3x from x = 0 to x = 4. x 1 2 3 4 y 6 9 12 What is the value of y when x = 0? If x increases by 1 unit, what is the change in y?

What is the value of y when x = 0? (b) If x increases by 1 unit, what is the change in y? +3 units

Class Exercise 2.2 Plot the graph of y = 6 - 2x from x = -3 to x = 3. x -3 -1 1 3 y What is the value of y when x = 0? If x increases by 1 unit, what is the change in y?

Class Exercise 2.2 Plot the graph of y = 6 - 2x from x = -3 to x = 3. x -3 -1 1 3 y 12 8 4 What is the value of y when x = 0? If x increases by 1 unit, what is the change in y?

What is the value of y when x = 0? 6 (b) If x increases by 1 unit, what is the change in y? -2 units

2 5 5

x + 2y = 6 2y = 6 – x y = -0.5x + 3

x + 2y = 6 2y = 6 – x y = -0.5x + 3 -0.5 3

3

0.5 0.707 0.866 1

11.5˚ 30˚ 53.1˚ 90˚