| Description |
484 pages : illustrations ; 28 cm |
| Series |
Schaum's outline series |
|
Schaum's outline series.
|
| Contents |
Machine derived contents note: Linear Coordinate Systems. Absolute Value. Inequalities. -- Rectangular Coordinate Systems. -- Lines. -- Circles. -- Equations and Their Graphs. -- Functions. -- Limits. -- Continuity. -- The Derivative. -- Rules for Differentiating Functions. -- Implicit Differentiation. -- Tangent and Normal Lines. -- Law of the Mean. -- Increasing and Decreasing Functions. -- Maximum and Minimum Values. -- Curve Sketching. -- Concavity. -- Symmetry. -- Review of Trigonometry. -- Differentiation of Trigonometric Functions. -- Inverse Trigonometric Functions. -- Rectilinear and Circular Motion. -- Related Rates. -- Differentials. Newton's Method. -- Antiderivatives. -- The Definite Integral. Area Under a Curve. -- The Fundamental Theorem of Calculus. -- The Natural Logarithm. -- Exponential and Logarithmic Functions. -- L'Hopital's Rule. -- Exponential Growth and Decay. -- Applications of Integration I: Area and Arc Length. -- Applications of Integration II: Volume. -- Techniques of Integration I: Integration by Parts. -- Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions. -- Techniques of Integration III: Integration by Partial Fractions. -- Miscellaneous Substitutions. -- Improper Integrals. -- Applications of Integration II: Area of A Surface of Revolution. -- Parametric Representation of Curves. -- Curvature. -- Plane Vectors. -- Curvilinear Motion. -- Polar Coordinates. -- Infinite Sequences. -- Infinite Series. -- Series with Positive Terms. The Integral Test. Comparison Tests. -- Alternating Series. Absolute and Conditional Convergence. The Ratio Test. -- Power Series. -- Taylor and Maclaurin Series. Taylor's Formual with Remainder. -- Partial Derivatives. -- Total Differential. Differentiability. Chain Rules. -- Space Vectors. -- Surface and Curves in Space. -- Directional Derivatives. Maximum and Minimum Values. -- Vector Differentiation and Integration. -- Double and Iterated Integrals. -- Centroids and Moments of Inertia of Plane Areas. -- Double Integration Applied to Volume Under a Surface and the Area of A Curved Surface. -- Triple Integrals. -- Masses of Variable Density. -- Differential Equations of First and Second Order |
| Notes |
Cover title: Theory and problems of differential and integral calculus |
|
Includes index |
|
Spine title: Calculus |
| Subject |
Calculus -- Problems, exercises, etc.
|
|
Calculus -- Outlines, syllabi, etc.
|
| Genre/Form |
Problems and exercises.
|
| Author |
Mendelson, Elliott.
|
| LC no. |
89013068 |
| ISBN |
0070026629 |
|
