Advanced CalculusOutlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis. Reviews elementary and intermediate calculus and features discussions of elementary-point set theory, and properties of continuous functions. |
Contents
FUNDAMENTALS OF ELEMENTARY CALCULUS | 1 |
CURVES AND SURFACES | 14 |
UNIFORM CONVERGENCE | 20 |
Copyright | |
21 other sections not shown
Common terms and phrases
A₁ a²u absolute maximum assume calculate called chain rule closed interval co-ordinate system consider continuous function corresponding critical point curve defined definition denote dot product double integral equation Example Exercise expression f is continuous f is differentiable f(xo F₁ formula function f geometrical given Green's theorem Hence independent variables inequality interior point inverse Jacobian least upper bound Let f(x limit line integral linear transformation mapping matrix mean minimum value neighborhood notation obtain open interval open set parameter partial derivatives plane point xo positive integer positive number problem proof prove quadratic form real numbers region relative maximum scalar sequence solution student subinterval Suppose surface tangent Theorem uv-plane vector space write x-axis x₁ xy-plane y₁ z-axis zero ди ди дх ду მა