Opiskelupolut
Opiskelupolut
Juuri 12 Algoritmit matematiikassa
Opiskelupolut
|
AS 5-6 |
101 102 103 104 105 106 |
|
AS 7-8 |
101 102 103 104 105 106 107 108 109 110 111 112 113 |
|
AS 9-10 |
101 102 103 104 105 106 107 108 109 110 111 112 113 114 116 119 |
1.2 Polynomien jaollisuus (1 h)
|
AS 5-6 |
121 122 123 124 125 126 |
|
AS 7-8 |
121 122 123 124 125 126 127 128 129 130 131 132 133 134 |
|
AS 9-10 |
121 122 123 124 125 126 127 128 129 130 131 133 134 136 137 138 139 140 |
1.3 Polynomien jakoalgoritmi (1 h)
|
AS 5-6 |
141 142 143 144 145 |
|
AS 7-8 |
141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 |
|
AS 9-10 |
141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 160 161 |
1.4 Polynomiyhtälön ratkaiseminen (2 h)
|
AS 5-6 |
162 163 164 165 166 167 168 |
|
AS 7-8 |
162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 181 182 |
|
AS 9-10 |
162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 181 182 183 184 185 186 |
2.1 Haarukointi ja ratkaisujen lukumäärä (2 h)
|
AS 5-6 |
201 202 203 204 205 206 207 |
|
AS 7-8 |
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 218 219 220 |
|
AS 9-10 |
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 218 219 220 222 225 226 |
2.2 Newtonin menetelmä (1 h)
|
AS 5-6 |
229 230 231 232 233 |
|
AS 7-8 |
229 230 231 232 233 234 235 236 237 238 240 241 |
|
AS 9-10 |
229 230 231 232 233 234 235 236 237 238 240 241 245 246 248 |
2.3 Kiintopistemenetelmä (2 h)
|
AS 5-6 |
250 251 252 253 254 255 256 |
|
AS 7-8 |
250 251 252 253 254 255 256 257 258 260 262 264 265 266 267 |
|
AS 9-10 |
250 251 252 253 254 255 256 257 258 260 262 264 265 266 267 271 272 273 277 |
3.1 Derivaatan ja derivoituvuuden tarkastelua (1-2 h)
|
AS 5-6 |
301 302 303 304 305 306 307 |
|
AS 7-8 |
301 302 303 304 305 306 307 308 309 310 311 312 313 316 |
|
AS 9-10 |
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 321 |
3.2 Numeerinen derivointi (1 h)
|
AS 5-6 |
322 323 324 325 326 |
|
AS 7-8 |
322 323 324 325 326 327 328 329 330 331 332 333 335 337 |
|
AS 9-10 |
322 323 324 325 326 327 328 329 330 331 332 333 335 337 338 340 342 |
4.1 Ala- ja yläsumma sekä keskipistesääntö (1 h)
|
AS 5-6 |
401 402 403 404 405 |
|
AS 7-8 |
401 402 403 404 405 406 407 408 409 410 411 412 413 |
|
AS 9-10 |
401 402 403 404 405 406 407 408 409 410 411 412 413 414 416 417 418 |
4.2 Määrätyn integraalin arvioiminen (1 h)
|
AS 5-6 |
421 422 423 424 425 |
|
AS 7-8 |
421 422 423 424 425 426 427 428 429 430 431 432 |
|
AS 9-10 |
421 422 423 424 425 426 427 428 429 430 431 432 434 435 436 |
4.3 Puolisuunnikassääntö ja Simpsonin sääntö (2 h)
|
AS 5-6 |
439 440 441 442 443 444 |
|
AS 7-8 |
439 440 441 442 443 444 445 446 448 449 450 451 452 453 454 456 |
|
AS 9-10 |
439 440 441 442 443 444 445 446 448 449 450 451 452 453 454 456 457 (virhekaava) 458 459 (virhekaava) 462 |