Course Mathematics for Physics Enthusiasts I
Mathematical basics to be able to do physics.
Level 2 requires school mathematics. Suitable for pupils.
- 1
Related formulas
Formula $$ A ~=~ \pi \, r^2 $$Circle (Area)
Formula $$ A ~=~ \frac{1}{2} a \, \class{red}{h} $$Isosceles Triangle (Area, Base, Height)
Formula $$ A ~=~ \frac{1}{2} \, \class{blue}{d_1} \, \class{red}{d_2} $$Rhombus (Area, Diagonal Length)
Formula $$ A ~=~ \class{blue}{a} \, \class{red}{h} $$Parallelogram (Area, Side Length)
Formula $$ A ~=~ \frac{1}{2} \, (a ~+~ b) \, h $$Trapezoid (Area, Height, Side Length)
Formula $$ \class{green}{h} ~=~ c \, \sin(\alpha) $$Trapezoid (Height, Angle)
Formula $$ A ~=~ 4\pi \, \class{red}{r}^2 $$Sphere (Surface Area, Radius)
Formula $$ V ~=~ \frac{4}{3} \, \pi \, r^3 $$Sphere (Volume)
Formula $$ V ~=~ \frac{4\pi}{3} \, a \, b \, c $$Ellipsoid (Volume, Semi-Axis)
Formula $$ A ~=~ 4\pi^2 \, r \, R $$Torus (Surface Area, Radius)
Formula $$ V ~=~ 2\pi^2 \, r^2 \, R $$Torus (Volume, Radius)
Formula $$ A ~=~ 6a^2 $$Cube (Area, Side length)
Formula $$ V ~=~ a^3 $$Cube (Volume, Side Length)
Formula $$ A ~=~ 2(a\,b ~+~ a\,c ~+~ b\,c) $$Cuboid (Area, Side Length)
Formula $$ V ~=~ a \, b\, c $$Cuboid (Volume, Side Length)
Formula $$ A ~=~ 2\pi \, r \, (r + \class{red}{h}) $$Right Circular Cylinder (Area, Radius, Height)
Formula $$ V ~=~ \pi \, r^2 \, \class{red}{h} $$Right Circular Cylinder (Volume, Radius, Height)
Formula $$ V ~=~ \frac{\pi \, h}{3} \, \left( {\class{red}{r_1}}^2 ~+~ {\class{blue}{r_2}}^2 ~+~ \class{red}{r_1} \, \class{blue}{r_2} \right) $$Frustum of a Right Cone (Volume, Radius, Height)
Formula $$ s ~=~ \sqrt{h^2 ~+~ (\class{red}{r_1} - \class{blue}{r_2})^2} $$Straight Circular Frustum (Side Length, Height, Radius)
Formula $$ A_{\text m} ~=~ \pi \, s \, \left( \class{red}{r_1} ~+~ \class{blue}{r_2} \right) $$Right Circular Frustum (Lateral Area, Radius, Side Length)
Formula $$ A ~=~ \pi \, \class{red}{r} \, (\class{red}{r} + s) $$Circular Cone (Area, Radius, Side Length)
Formula $$ V ~=~ \frac{\pi}{3} \, h \, r^2 $$Right Circular Cone (Volume)
Formula $$ A ~=~ \sqrt{3} \, a^2 $$Tetrahedron (Area, Side Length)
Formula $$ V ~=~ \frac{\sqrt{2}}{12} \, a^3 $$Tetrahedron (Volume, Side Length)
Formula $$ A ~=~ 2 \sqrt{3} \, a^2 $$Octahedron (Area, Side Length)
Formula $$ V ~=~ \frac{ \sqrt{2} }{ 3 } \, a^3 $$Octahedron (Volume, Side Length)
Formula $$ A ~=~ 3 \, a^2 \, \sqrt{25 ~+~ 10 \, \sqrt{5}} $$Dodecahedron (Area, Side Length)
Formula $$ V ~=~ \frac{15 ~+~ 7 \, \sqrt{5}}{4} \, a^3 $$Dodecahedron (Volume, Side Length)
Related Illustrations
Circle with drawn in Radius Isosceles Triangle with Shown Base Length and Height Rhombus with Diagonals Parallelogram with Side Lengths and Height Trapezoid and its Sides, Height and Angles Sphere with its Radius and Diameter Ellipsoid with Semi-Axes Torus with view from above / cut through Cube and its Side Lengths Cuboid and its Side Lengths Right Circular Cylinder with Radius and Height Frustum of a Right Circular Cone Right Circular Cone with Height, Radius and Frustum Tetrahedron with Side Lengths Octahedron with Side Lengths Dodecahedron and its Side Length - 2