Solutions manual For Calculus Single and Multivariable, 8th Edition Deborah Hughes-Hallett
$23.00
Secure checkout
Instant digital download
PDF document
Document details
- Pages
- 2,207
- File size
- 23.96 MB
- Format
- Digital PDF
- Course
- Calculus
- Category
- SOLUTIONS MANUAL
Sign in or create a free account to continue. Your purchase will be saved in My Downloads.
About this ebook
Solutions manual For Calculus: Single and Multivariable, 8th Edition by Deborah Hughes-Hallett comprehensively covers single-variable calculus (differential, integral, and series) alongside multivariable topics (vectors, partial derivatives, multiple integrals, and vector analysis). Published by Wiley, the curriculum follows the "Rule of Four", analyzing problems graphically, numerically, symbolically, and verbally. [1, 2, 3, 4]
The complete list of topics and chapters outlined in this textbook is structured as follows:
Single Variable Calculus
- Chapter 1: Foundation for Calculus – Functions, change, exponential, logarithmic, trigonometric, polynomial, and rational functions; introduction to limits and continuity.
- Chapter 2: Key Concept: The Derivative – Measuring speed, the derivative at a point, the derivative function, and contextual interpretations.
- Chapter 3: Short-cuts to Differentiation – Formulas for powers, polynomials, exponentials, product/quotient rules, chain rule, implicit differentiation, and hyperbolic functions.
- Chapter 4: Using the Derivative – Local extrema, optimization, global maxima/minima, profit/cost modeling, concavity, and theorems about derivatives.
- Chapter 5: Key Concept: The Definite Integral – Distance, Riemann sums, the definite integral as area, the Fundamental Theorem of Calculus, and average value.
- Chapter 6: Constructing Antiderivatives – Antiderivatives graphically and numerically, the equations of motion, and the Second Fundamental Theorem of Calculus.
- Chapter 7: Integration – Integration by substitution, integration by parts, tables of integrals, algebraic identities, numerical integration approximation, and improper integrals.
- Chapter 8: Using the Definite Integral – Areas, volumes of revolution, arc length, applications to geometry, physics (mass, work, hydrostatic pressure), and economics.
- Chapter 9: Sequences and Series – Geometric series, convergence tests (integral, ratio, comparison, alternating), power series, and interval of convergence.
- Chapter 10: Approximating Functions Using Series – Taylor polynomials, Taylor series, find new series from old ones, and the error bound.
- Chapter 11: Differential Equations – Slope fields, Euler’s method, separation of variables, growth and decay, logistic models, and systems of differential equations. [1, 2, 3, 4, 5]
Multivariable Calculus
- Chapter 12: Functions of Several Variables – Functions of two or more variables, graphs, contour diagrams, linear functions, and continuity.
- Chapter 13: A Vector Description of Space – Displacement vectors, vectors in components, dot product, cross product, matrices, determinants, and equations of lines and planes.
- Chapter 14: Differentiating Functions of Several Variables – Directional derivatives, partial derivatives, gradients, local linearity, tangent planes, directional derivatives, and the multivariable chain rule. [1]
- Chapter 15: Optimization: Local and Global Extrema – Critical points, local extrema, optimization over regions, unconstrained optimization, and Lagrange multipliers. [1, 2]
- Chapter 16: Integrating Functions of Several Variables – Double integrals in Cartesian and polar coordinates, triple integrals in Cartesian, cylindrical, and spherical coordinates. [1, 2, 3]
- Chapter 17: Parameterization and Vector Fields – Parameterized curves, motion in space, vector fields, and flow lines. [1, 2]
- Chapter 18: Line Integrals – Definition of line integrals, computing line integrals over parameterized curves, and path-independent vector fields. [1]
- Chapter 19: Flux Integrals and Divergence – Flux integrals over parameterized surfaces, calculating flux through flat and curved surfaces, and divergence. [1, 2]
- Chapter 20: Calculus of Vector Fields – The Divergence Theorem, Stokes' Theorem, curl, and coordinate-free definitions of divergence and curl. [1, 2]
File included
Solution-manual-For-Calculus-Single-and-Multivariable-8th-Edition-Deborah-Hughes-Hallett.pdf
23.96 MB
Related ebooks
