6,489
edits
Calculus (Book): Difference between revisions
no edit summary
No edit summary |
No edit summary |
||
| Line 109: | Line 109: | ||
| 1.2 || Functions. Informal description and examples || 50 | | 1.2 || Functions. Informal description and examples || 50 | ||
|- | |- | ||
| 1.3 || Functions. Formal definition as a set of ordered pairs || 53 | | <nowiki>*</nowiki>1.3 || Functions. Formal definition as a set of ordered pairs || 53 | ||
|- | |- | ||
| 1.4 || More examples of real functions || 54 | | 1.4 || More examples of real functions || 54 | ||
| Line 285: | Line 285: | ||
| 4.21 || Exercises || 194 | | 4.21 || Exercises || 194 | ||
|- | |- | ||
| 4.22 || Partial derivatives || 196 | | <nowiki>*</nowiki>4.22 || Partial derivatives || 196 | ||
|- | |- | ||
| 4.23 || Exercises || 201 | | <nowiki>*</nowiki>4.23 || Exercises || 201 | ||
|- | |- | ||
! colspan="3" | 5. THE RELATION BETWEEN INTEGRATION AND DIFFERENTIATION | ! colspan="3" | 5. THE RELATION BETWEEN INTEGRATION AND DIFFERENTIATION | ||
| Line 311: | Line 311: | ||
| 5.10 || Exercises || 220 | | 5.10 || Exercises || 220 | ||
|- | |- | ||
| 5.11 || Miscellaneous review exercises || 222 | | <nowiki>*</nowiki>5.11 || Miscellaneous review exercises || 222 | ||
|- | |- | ||
! colspan="3" | 6. THE LOGARITHM, THE EXPONENTIAL, AND THE INVERSE TRIGONOMETRIC FUNCTIONS | ! colspan="3" | 6. THE LOGARITHM, THE EXPONENTIAL, AND THE INVERSE TRIGONOMETRIC FUNCTIONS | ||
| Line 381: | Line 381: | ||
| 7.6 || Estimates for the error in Taylor's formula || 280 | | 7.6 || Estimates for the error in Taylor's formula || 280 | ||
|- | |- | ||
| 7.7 || Other forms of the remainder in Taylor's formula || 283 | | <nowiki>*</nowiki>7.7 || Other forms of the remainder in Taylor's formula || 283 | ||
|- | |- | ||
| 7.8 || Exercises || 284 | | 7.8 || Exercises || 284 | ||
| Line 503: | Line 503: | ||
| 10.9 || Exercises || 391 | | 10.9 || Exercises || 391 | ||
|- | |- | ||
| 10.10 || Exercises on decimal expansions || 393 | | <nowiki>*</nowiki>10.10 || Exercises on decimal expansions || 393 | ||
|- | |- | ||
| 10.11 || Tests for convergence || 394 | | 10.11 || Tests for convergence || 394 | ||
| Line 525: | Line 525: | ||
| 10.20 || Exercises || 409 | | 10.20 || Exercises || 409 | ||
|- | |- | ||
| 10.21 || Rearrangements of series || 411 | | <nowiki>*</nowiki>10.21 || Rearrangements of series || 411 | ||
|- | |- | ||
| 10.22 || Miscellaneous review exercises || 414 | | 10.22 || Miscellaneous review exercises || 414 | ||
| Line 557: | Line 557: | ||
| 11.11 || Power-series expansions for the exponential and trigonometric functions || 435 | | 11.11 || Power-series expansions for the exponential and trigonometric functions || 435 | ||
|- | |- | ||
| 11.12 || Bernstein's theorem || 437 | | <nowiki>*</nowiki>11.12 || Bernstein's theorem || 437 | ||
|- | |- | ||
| 11.13 || Exercises || 438 | | 11.13 || Exercises || 438 | ||