James Stewart Calculus 10th Edition Patched < iPad LATEST >

| Part | Chapter Title | Key Topics | |------|----------------|-------------| | 1 | Functions and Models | Four ways to represent a function, mathematical models, parametric curves | | 2 | Limits and Derivatives | Limit laws, continuity, derivatives as rates of change | | 3 | Differentiation Rules | Product/quotient/chain rules, implicit differentiation, related rates | | 4 | Applications of Differentiation | Optimization, L'Hospital's rule, Newton's method, antiderivatives | | 5 | Integrals | Riemann sums, Fundamental Theorem of Calculus, substitution rule | | 6 | Applications of Integration | Volumes (disks/washers/shells), arc length, work, average value | | 7 | Techniques of Integration | Integration by parts, trig integrals, partial fractions, improper integrals | | 8 | Further Applications | Differential equations (separable, logistic), probability, arc length (parametric) | | 9 | Parametric Equations & Polar Coordinates | Calculus with parametrics, polar areas, conic sections | | 10 | Sequences and Series | Convergence tests, power series, Taylor/Maclaurin series | | 11 | Vectors and the Geometry of Space | Dot/cross products, lines/planes, quadric surfaces | | 12 | Vector Functions | Space curves, velocity/acceleration, curvature | | 13 | Partial Derivatives | Limits in higher dimensions, chain rule, Lagrange multipliers | | 14 | Multiple Integrals | Double/triple integrals, polar/cylindrical/spherical coordinates | | 15 | Vector Calculus (Ch 16 in some editions) | Line integrals, Green's theorem, curl/divergence, Stokes' theorem |

Open to Chapter 1: "Functions and Limits." Turn to page 3. Read the first paragraph three times. Then, and only then, pick up your pencil. James Stewart Calculus 10th Edition

: It maintains Stewart’s core philosophy that topics should be presented geometrically , numerically , and algebraically . | Part | Chapter Title | Key Topics