Ideas of Calculus III - Essay Example

Task: Big Ideas of Calculus III Calculus III involves the extension of Calculus to II and III dimensions. The theories of variable calculus occur in studying the activity of an object along a line. Any particle moving through a vacuum and a long a line, acceleration, velocity and position at each moment are explained by vectors. Other physical measures such as angular velocity and force can also be modeled mathematically as vectors (Ryan 5).The first concept to learn is algebra of vectors which enables us to explain the relationship involving vector quantities in physics as well as the foundation of logical geometry within 3-dimensional space.

Time as a vector value is used to study geometry of space curves and velocity of a moving object. Calculus III also teaches how to simplify the theories of derivative and integral to vector-valued equation (Ryan 15).Calculus also enables learners to model quantities like temperature on Earth surface, which changes from one point to another. Such quantities are expressed used tangent graphs which is a concept in calculus. The last part of Calculus III involves a 2-dimensional account of the Fundamental Theorem which is commonly called Greens Theorem.

Greens Theorem is the mathematics behind potential energy and physical notions of work that is a major step towards understanding magnetic fields and electricity (Ryan 45).Calculus students ought to access computers in order to develop intuition and visualize on the concept they learn about the course. The computer lessons are part of the course work and they include programmed questions that students ought to solve by the help of the computer (Ryan 25).ConclusionThe main aim of Calculus III is to enable learners to develop critical reasoning skills and new problem solving techniques and prepare them for advanced study in physical science, mathematics and engineering (Ryan 8).

Works CitedRyan, Mark. Calculus for Dummies. Hoboken: Wiley, 2003. Publication.