Vectors and vector-valued functions, the dot and cross products, curves in space and the calculus of vector-valued functions. Multi-variable functions, limits, continuity, and differentiation. Partial ...

Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and ...

To calculate the gradient of the tangents ... Find the intervals in which the function \(y = {x^3} - 3{x^2} + 8\) is increasing and decreasing, where the stationary points are at \(x = 0 ...

Introduction to calculus in two and three dimensions, which includes a computer laboratory. Topics include functions of several variables, partial derivatives, the gradient, multiple integrals; ...

We can calculate the gradient ... point on the line and the gradient into \(y - b = m(x - a)\) Find the equation of the tangent to the curve \(y = \frac{1}{8}{x^3} - 3\sqrt x\) at the point ...

The involvement of noncoding mRNAs in many regulatory processes, their abundance, and their diversity of functions has led to the hypothesis that an "RNA world" may have preceded the evolution of ...

The maximum likelihood method estimates the parameters of the linear model so as to maximize the value of the joint multinomial likelihood function of the responses. Maximum likelihood estimation is ...

Any vector can be expressed as a sum of a number of other vectors. The vectors which are summed are called the components of the original vector. When you want to add and subtract two dimensional ...

48 x 56 in. (121.9 x 142.2 cm.) In viewing one of Weiss’ woven screens, one is continually reminded of his or her presence. The pull on the body is palpable, as chromatic and immersive planes ...