Mathematical Visualization
Why Mathematical Visualization?
How does the line y = mx + c locate in the coordinate space for different values of m, c? How does the circle equation (x-h)^2 + (y-k)^2 = r^2 move in the coordinate space with varying h,k,r? We explore these and other mathematical equations to understand how different first order and higher order equations respond to changing parameters.
Why Mathematical Visualization for kids ?
Visualizing an equation and how it varies when the parameters are changed, help kids better at understanding the equation and eventually they can imagine the behaviour of the equation under given parameters in their head. While working on engineering design, this ability to imagine the behaviour of different mathematical constructs helps them put many equations together like in a jigsaw puzzle.
The Stem Makers Offers Mathematical Vizualisation Course.
This course is for kids aged 12+ yrs and above. it is one hour class thrice a week. course start on 20th May
Topics Covered in Mathematical Vizualisation course
| SESSION | DAY | TOPIC |
| 1 | Tuesday | What are mathematical equations, types of mathematical equations, range , domain |
| 2 | Thursday | Introduction to Line equations, coordinate axis, polar axis, and desmos features. |
| 3 | Saturday | Triangles |
| 4 | Tuesday | Quadrilaterals |
| 5 | Thursday | Pentagon, Octagon etc |
| 6 | Saturday | 3 dimensional objects like cube, cuboid , pyramid etc |
| 7 | Tuesday | All four lines of a square in single equation |
| 8 | Thursday | y = x, |x|, x2, x3 ,|x3|, w,w/o scaling, intercept |
| 9 | Saturday | Circle. Params – center, radius |
| 10 | Tuesday | Elipse. Params – center, long axis, short axis |
| 11 | Thursday | Parabola |
| 12 | Saturday | Hyperbola |
| 13 | Tuesday | Transformations |
| 14 | Thursday | Parametric Equations, line, circle, logarithmic spiral |
| 15 | Saturday | Fun activity – Circle in a circle, circle along a line |
| 16 | Tuesday | Trigonometric functions. Params – amplitude, frequency, phase. Chirp signals |
| 17 | Thursday | Student design |
| 18 | Saturday | Student design |
| ex, e-x, 1/ex, 1/e-x, sigmoid, other exponential functions | ||
| Higher order equations. Effect of scaling and intercept |
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