Status Updates From Calculus, 7th Edition

Limits of multiple variables.

On how functions with several variables are made and how to find the limits in these type of functions.

Applications of derivatives and integrals on vector fields to Physics dealing with particle and projectile motion.

Analyzing how to apply differential to vector functions to calculate velocity, speed and acceleration.

Practicing calculating differentials and integrals of vector functions. Also working towards calculating the Unit Tangent Vector T(t) and the parametric equation of a given line in 3D space.

Practice of derivatives and integrals of vector functions.

On vector functions to represent objects and movement in 3D space.

Starting with the cross product and how it can be implemented to find orthogonal vectors and the sine of the vectors compared to the dot product.

Working through the exercises of vector spaces applied to figures.

On how to apply vector functions and find angles between them. Dot product.

On the principles of vectorial calculus and how coordinates are generated using vectors. Currently on dot and cross products of 2 or more vectors.

On the definition of a vector in order to mathematically work with 3D space. The differences between a plane (2D) and space (3D) and the systems available to depict figures and movement on it.

Taylor and Maclaurin series as special cases of power series.

Finding convergence in power series and applying them such as for Bessel functions.

On Power Series, how they are defined and how its possible to represent functions as power series.

More tests on series and strategies.

Convergence test for decreasing positive series and for alternating series applying limits.

More practice with geometric series.