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Achieve is a complete learning environment with easy course setup, gradebook and LMS integration. Chapter 1: Precalculus Review1.1 Real Numbers, Functions, and Graphs1.2 Linear and Quadratic Functions1.3 The Basic Classes of Functions1.4 Trigonometric Functions1.5 Inverse Functions1.6 Exponential and Logarithmic Functions1.7 Technology: Calculators and ComputersChapter Review Exercises, Chapter 2: Limits2.1 The Limit Idea: Instantaneous Velocity and Tangent Lines2.2 Investigating Limits2.3 Basic Limit Laws2.4 Limits and Continuity2.5 Indeterminate Forms2.6 The Squeeze Theorem and Trigonometric Limits2.7 Limits at Infinity2.8 The Intermediate Value Theorem2.9 The Formal Definition of a LimitChapter Review Exercises, Chapter 3: Differentiation3.1 Definition of the Derivative3.2 The Derivative as a Function3.3 Product and Quotient Rules3.4 Rates of Change3.5 Higher Derivatives3.6 Trigonometric Functions3.7 The Chain Rule3.8 Implicit Differentiation3.9 Derivatives of General Exponential and Logarithmic Functions3.10 Related RatesChapter Review Exercises, Chapter 4: Applications of the Derivative4.1 Linear Approximation and Applications4.2 Extreme Values4.3 The Mean Value Theorem and Monotonicity4.4 The Second Derivative and Concavity4.5 L’Hôpital’s Rule4.6 Analyzing and Sketching Graphs of Functions4.7 Applied Optimization4.8 Newton’s MethodChapter Review Exercises, Chapter 5: Integration5.1 Approximating and Computing Area5.2 The Definite Integral5.3 The Indefinite Integral5.4 The Fundamental Theorem of Calculus, Part I5.5 The Fundamental Theorem of Calculus, Part II5.6 Net Change as the Integral of a Rate of Change5.7 The Substitution Method5.8 Further Integral FormulasChapter Review Exercises, Chapter 6: Applications of the Integral6.1 Area Between Two Curves6.2 Setting Up Integrals: Volume, Density, Average Value6.3 Volumes of Revolution: Disks and Washers6.4 Volumes of Revolution: Cylindrical Shells6.5 Work and EnergyChapter Review Exercises, Chapter 7: Techniques of Integration7.1 Integration by Parts7.2 Trigonometric Integrals7.3 Trigonometric Substitution7.4 Integrals Involving Hyperbolic and Inverse Hyperbolic Functions7.5 The Method of Partial Fractions7.6 Strategies for Integration7.7 Improper Integrals7.8 Numerical IntegrationChapter Review Exercises, Chapter 8: Further Applications of the Integral8.1 Probability and Integration8.2 Arc Length and Surface Area8.3 Fluid Pressure and Force8.4 Center of MassChapter Review Exercises, Chapter 9: Introduction to Differential Equations9.1 Solving Differential Equations9.2 Models Involving y'=k(y-b)9.3 Graphical and Numerical Methods9.4 The Logistic Equation9.5 First-Order Linear EquationsChapter Review Exercises, Chapter 10: Infinite Series10.1 Sequences10.2 Summing an Infinite Series10.3 Convergence of Series with Positive Terms10.4 Absolute and Conditional Convergence10.5 The Ratio and Root Tests and Strategies for Choosing Tests10.6 Power Series10.7 Taylor Polynomials10.8 Taylor SeriesChapter Review Exercises, Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections11.1 Parametric Equations11.2 Arc Length and Speed11.3 Polar Coordinates11.4 Area and Arc Length in Polar Coordinates11.5 Conic SectionsChapter Review Exercises, Chapter 12: Vector Geometry12.1 Vectors in the Plane12.2 Three-Dimensional Space: Surfaces, Vectors, and Curves12.3 Dot Product and the Angle Between Two Vectors12.4 The Cross Product12.5 Planes in 3-Space12.6 A Survey of Quadric Surfaces12.7 Cylindrical and Spherical CoordinatesChapter Review Exercises, Chapter 13: Calculus of Vector-Valued Functions13.1 Vector-Valued Functions13.2 Calculus of Vector-Valued Functions13.3 Arc Length and Speed13.4 Curvature13.5 Motion in 3-Space13.6 Planetary Motion According to Kepler and NewtonChapter Review Exercises, Chapter 14: Differentiation in Several Variables14.1 Functions of Two or More Variables14.2 Limits and Continuity in Several Variables14.3 Partial Derivatives14.4 Differentiability, Tangent Planes, and Linear Approximation14.5 The Gradient and Directional Derivatives14.6 Multivariable Calculus Chain Rules14.7 Optimization in Several Variables14.8 Lagrange Multipliers: Optimizing with a ConstraintChapter Review Exercises, Chapter 15: Multiple Integration15.1 Integration in Two Variables15.2 Double Integrals over More General Regions15.3 Triple Integrals15.4 Integration in Polar, Cylindrical, and Spherical Coordinates15.5 Applications of Multiple Integrals15.6 Change of VariablesChapter Review Exercises, Chapter 16: Line and Surface Integrals16.1 Vector Fields16.2 Line Integrals16.3 Conservative Vector Fields16.4 Parametrized Surfaces and Surface Integrals16.5 Surface Integrals of Vector FieldsChapter Review Exercises, Chapter 17: Fundamental Theorems of Vector Analysis17.1 Green’s Theorem17.2 Stokes’ Theorem17.3 Divergence TheoremChapter Review Exercises, AppendicesA.

Academics. Is missing half of the problems. Posted by u/[deleted] 2 years ago. Achieve focuses on engaging students through pre-class and post-class assessment, interactive activities, and a full e-book. Colin Adams talks about how the new edition helps students understand formulas. Unable to add item to List. Colin Adams is the Thomas T. Read professor of Mathematics at Williams College, where he has taught since 1985.

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