Name: Calculus: Concepts and Contexts
ISBN: 9780357632499

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Calculus

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Calculus: Concepts and Contexts

Present an intuitive, discovery based, problem-solving approach for learning calculus to your students with Stewart/Kokoska’s CALCULUS: CONCEPTS AND CONTEXTS, 5th Edition and WebAssign digital resources. Updated and refined using the latest learning design principles, this edition removes barriers to learning to offer a carefully planned, inclusive experience for all students. The authors balance theory and conceptual work for more progressive programs yet retain traditional topics to meet the needs of more conventional calculus curriculums. Revised content focuses on major concepts and the Rule of Four with precise definitions and new margin notes, thorough step-by-step explanations and detailed examples with expanded solutions. This edition offers even more exercises and new learning features that closely examine key concepts. New automatically-graded online Proof Problems, Expanded Problems and Explore It interactive learning modules in WebAssign further strengthen conceptual understanding.

CALCULUS: CONCEPTS AND CONTEXT S

Calculus: Concepts and Contexts, 5th K12 WebAssign (1-year access)

Our online learning platforms are designed to achieve better results. By increasing student engagement, improving teacher productivity, and using assessment to enable differentiation, we support growth. 

With Calculus: Concepts and Contexts, 5th K12 WebAssign (1-year access), our online solution goes further with content from the most trusted sources that not only aligns to your standards & certifications but creates a sense of belonging and inclusion.

WA IAC CALCULUS: CONCEPTS & CO NTEXT 1YR

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Online Instructor's Manual for Stewart/Kokoska's Calculus: Concepts & Contexts, 5th

Online Instructor's Manual

Each section of the main text is discussed from several viewpoints and contains suggested time to allot, points to stress, text discussion topics, core materials for lecture, workshop/discussion ideas, suggested homework problems, along with group work exercises and sample chapter exams both in a form suitable for handout.

IM ONLN CALCULUS: CONCEPTS & C ONTEXTS

Online Powerpoint® for Stewart/Kokoska's Calculus: Concepts & Contexts, 5th

Online Powerpoint®

These Microsoft® PowerPoint® lecture slides assist you with your lectures.

PPT ONLINE CALCULUS: CONCEPTS & CONTEXTS

Online Complete Solutions Manual for Stewart/Kokoska's Calculus: Concepts & Contexts, 5th

Online Complete Solutions Manual

This guide offers step-by-step solutions for all odd-numbered text exercises in Stewart/Kokoska's Calculus: Concepts & Contexts, 5th Edition. The worked-out solutions give students a way to check their answers, ensure that they took the correct steps to arrive at an answer, and help them understand how to solve even the toughest problems.

CSM ONLINE CALCULUS CONCEPTS & CONTEXTS

Preface.
To the Student.
Diagnostic Tests.
A Preview of Calculus.
1. FUNCTIONS AND MODELS.
Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Exponential Functions. Inverse Functions and Logarithms. Parametric Curves. Laboratory Project: Running Circles around Circles. Review. Principles of Problem Solving.
2. LIMITS AND DERIVATIVES.
The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws.
2.4 Continuity. Limits Involving Infinity. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Review. Focus on Problem Solving.
3. DIFFERENTIATION RULES.
Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Laboratory Project: Bézier Curves. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Inverse Trigonometric Functions and their Derivatives. Derivatives of Logarithmic Functions. Discovery Project: Hyperbolic Functions. Rates of Change in the Natural and Social Sciences. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Review. Focus on Problem Solving.
4. APPLICATIONS OF DIFFERENTIATION.
Related Rates. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. Derivatives and the Shapes of Curves. Graphing with Calculus and Calculators. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. Optimization Problems. Applied Project: The Shape of a Can. Newton's Method. Antiderivatives. Review. Focus on Problem Solving.
5. INTEGRALS.
Areas and Distances. The Definite Integral. Evaluating Definite Integrals. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Integration by Parts. Additional Techniques of Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Focus on Problem Solving.
6. APPLICATIONS OF INTEGRATION.
More about Areas. Volumes. Discovery Project: Rotating on a Slant. Volumes by Cylindrical Shells. Arc Length. Discovery Project: Arc Length Contest. Average Value of a Function. Applied Project: Where to Sit at the Movies. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Focus on Problem Solving.
7. DIFFERENTIAL EQUATIONS.
Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which Is Faster, Going Up or Coming Down? Exponential Growth and Decay. Applied Project: Calculus and Baseball. The Logistic Equation. Predator-Prey Systems. Review. Focus on Problem Solving.
8. INFINTE SEQUENCES AND SERIES.
Sequences. Laboratory Project: Logistic Sequences. Series. The Integral and Comparison Tests; Estimating Sums. Other Convergence Tests. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Focus on Problem Solving.
9. VECTORS AND THE GEOMETRY OF SPACE.
Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Laboratory Project: Putting 3D in Perspective. Functions and Surfaces. Cylindrical and Spherical Coordinates. Laboratory Project: Families of Surfaces. Review. Focus on Problem Solving.
10. VECTOR FUNCTIONS.
Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler's Laws. Parametric Surfaces. Review. Focus on Problem Solving.
11. PARTIAL DERIVATIVES.
Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization. Review. Focus on Problem Solving.
12. MULTIPLE INTEGRALS.
Double Integrals over Rectangles. Iterated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical and Spherical Coordinates. Applied Project: Roller Derby. Discovery Project: The Intersection of Three Cylinders. Change of Variables in Multiple Integrals. Review. Focus on Problem Solving.
13. VECTOR CALCULUS.
Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Surface Integrals. Stokes' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review. Focus on Problem Solving.
APPENDIXES.
A. Intervals, Inequalities, and Absolute Values.
B. Coordinate Geometry.
C. Trigonometry.
D. Precise Definitions of Limits.
E. A Few Proofs.
F. Sigma Notation.
G. Integration of Rational Functions by Partial Fractions.
H. Polar Coordinates.
I. Complex Numbers.
J. Answers to Odd-Numbered Exercises.

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