| Description |
344 pages : illustrations ; 28 cm |
| Series |
Schaum's outline series |
|
Schaum's outline series., Schaum's outline series in mathematics |
|
Schaum's outline series.
|
|
Schaum's outline series. Schaum's outline series in mathematics.
|
| Contents |
Coordinate systems on a line -- Coordinate systems in a plane -- Graphs of equations -- Straight lines -- Intersections of graphs -- Symmetry -- Functions and their graphs -- Limits -- Special limits -- Continuity -- The slope of a tangent line -- The derivative -- More on the derivative -- Maximum and minimum problems -- The chain rule -- Implicit differentiation -- The mean-value theorem. The sign of the derivative -- Rectilinear motion. Instantaneous velocity -- Instantaneous rate of change -- Related rates -- Approximation by differentials -- Higher-order derivatives -- Applications of the second derivative -- More maximum and minimum problems -- Angle measure -- The sine and cosine functions -- Graphs and derivatives of the sine and cosine functions -- The tangent and other trigonometric functions -- Antiderivatives -- The definite integral -- The fundamental theorem of calculus -- Applications of integration I: area and arc length -- Applications of integration II: volume -- The natural logarithm -- Exponential functions -- L'Hôpital's rule. Exponential growth and decay -- Inverse trigonometric functions -- Integration by parts -- Trigonometric integrands; trigonometric substitutions -- Integration of rational functions: the method of partial fractions -- App. A. Trigonometric formulas -- App. B. Basic integration formulas -- App. C. Geometric formulas -- App. D. Trigonometric functions -- App. E. Natural logarithms -- App. F. Exponential functions |
| Notes |
Includes index |
|
Donation |
| Subject |
Calculus -- Problems, exercises, etc.
|
|
Calculus.
|
| Genre/Form |
Problems and exercises.
|
| LC no. |
84012607 |
| ISBN |
0070414653 (paperback) |
|
