**Topical**

March 12 2018

**Vectors**
- scalars describe physical quantities by a single number
- vectors describe physical quantities with both magnitude and direction
- scalar product / dot product is a scalar value
- which equals the magnitude of one vector times the magnitude of projection of the other vector
- A dot B = |A| |B| cos angle
- A dot B = AxBx + AyBy + AzBz
- work = force dot displacement
- work is the amount of force applied in the direction of movement
- work = change in energy
- vector product / cross product is a perpendicular vector
- direction of this vector is given by the right-hand rule
- magnitude of this vector is the area of the parallelogram
- A x B = |A| |B| sin angle
- Cx = AyBz - AzBy
- applications
- force through electric and magnetic field = vqE + qv x B
- torque = r x force
**Others**
- exponential and logarithm functions y = ex
- trigonometric functions, harmonics
- infinite series
- conic sections, polar coordinates, vectors
- partial derivatives, multiple integrals, line integrals