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This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in ...
It is a theorem in each text on vector calculus that every closed vector field defined over a simply connected domain is exact. The function f is called a potential function because we can draw surfaces of constant value of f in space (surfaces defined by the equation f(x, y, z) = C...
As you might have guessed, the scalar (absolute value) magnitude of the velocity vector is thespeedof motion. Incalculusterms, velocity is the first derivative of position with respect to time. You can calculate velocity by using a simple formula that includes rate, distance, and time. Velocit...
a refresher. Taking a trigonometry course is often required before enrolling in precalculus. During precalculus, you can expect to solve and graph problems using standard trig functions like sine and cosine. Additional trig topics covered in precalculus include vector operations, sequences and series...
Gradient (vector calculus): A vector of derivatives for a function that takes a vector of input variables. You might recall from high school algebra or pre-calculus, the gradient also refers generally to the slope of a line on a two-dimensional plot. It is calculated as the rise (change ...
Bitmap vs. vector: Scalability Another key difference is in scalability. A raster image, as mentioned earlier, is resolution-dependent. Hence it cannot be scaled without losing its quality. In other words, the smaller it is, the better its resolution and vice versa. If you wish to make a...
What Is a Karnaugh Map? - Definition & Examples 3:41 Ch 14. Principles of Counting Ch 15. Differentiation & Integration in... Ch 16. Applications of Integrals Ch 17. Differential Equations in... Ch 18. Vectors & Vector Calculus Ch 19. Understanding Kinematics Ch 20. Understanding Mechanic...
The concept of flux of r through a sphere is closely related to other mathematical concepts such as surface integrals and divergence. It is also a fundamental concept in the study of vector calculus and is often used in solving problems involving vector fields.Similar...
What is Computational Fluid Dynamics (CFD)? Examples of Computational Fluid Dynamics How Computational Fluid Dynamics Works Challenges of Modeling Fluid Flow History of Computational Fluid Dynamics Governing Equations of CFD Advancements in CFD Learn More ...