Knowledge (XXG)

Further Mathematics

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Further Mathematics syllabus in VCE consists of three core modules, which all students undertake, plus two modules chosen by the student (or usually by the school or teacher) from a list of four. The core modules are Univariate Data, Bivariate Data, Time Series, Number Patterns and Business-Related Mathematics. The optional modules are Geometry and Trigonometry, Graphs and Relations, Networks and Decision Mathematics, or Matrices.
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schools and colleges may not offer Further mathematics, but online resources are available. Although the subject has about 60% of its cohort obtaining "A" grades, students choosing the subject are assumed to be more proficient in mathematics, and there is much more overlap of topics compared to base mathematics courses at A level.
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another source of both teaching and learning materials hosted by Mathematics Education Innovation (MEI). Underground Mathematics is another resource in active development which reflects the emphasis on problem solving and reasoning in the UK curriculum. A collection of tasks for post-16 mathematics can be also found on the
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is the easiest level of mathematics. Any student wishing to undertake tertiary studies in areas such as Science, Engineering, Commerce, Economics and some Information Technology courses must undertake one or both of the other two VCE maths subjects— Mathematical Methods or Specialist Mathematics. The
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Further Mathematics is available as a second and higher mathematics course at A Level (now H2), in addition to the Mathematics course at A Level. Students can pursue this subject if they have A2 and better in 'O' Level Mathematics and Additional Mathematics, depending on the school. Some topics
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There are numerous sources of support for both teachers and students. The AMSP (formerly FMSP) is a government-funded organisation that offers professional development, enrichment activities and is a source of additional materials via its website. Registering with AMSP gives access to Integral,
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which requires Further Mathematics to at least AS level; University College London requires or recommends an A2 in Further Maths for its maths courses; Imperial College requires an A in A level Further Maths, while other universities may recommend it or may promise lower offers in return. Some
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Some medicine courses do not count maths and further maths as separate subjects for the purposes of making offers. This is due to the overlap in content, and the potentially narrow education a candidate with maths, further maths and just one other subject may have.
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covered in this course include mathematical induction, complex number, polar curve and conic sections, differential equations, recurrence relations, matrices and linear spaces, numerical methods, random variables and hypothesis testing and confidence intervals.
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With regard to Mathematics degrees, most universities do not require Further Mathematics, and may incorporate foundation math modules or offer "catch-up" classes covering any additional content. Exceptions are the
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courses. The term "Higher and Further Mathematics", and the term "Advanced Level Mathematics", may also refer to any of several advanced mathematics courses at many institutions.
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for a more detailed explanation). Globally, it describes a course studied in addition to GCE AS-Level and A-Level Mathematics, or one which is delivered as part of the
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modules. Whilst the pure modules (formerly known as Pure 4–6 or Core 4–6, now known as Further Pure 1–3, where 4 exists for the
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board) build on knowledge from the core mathematics modules, the applied modules may start from first principles.
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or on its own. It consisted of studying all four of the options in Mathematics HL, plus two additional topics.
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From 2019, the course has been discontinued and transited into the followings modules:
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In contrast with other Further Mathematics courses, Further Maths as part of the
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IB DP Further mathematics HL guide (first examinations 2014, Electronic PDF)
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The structure of the qualification varies between exam boards.
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A qualification in Further Mathematics involves studying both
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in Australia, it describes a course delivered as part of the
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Certain type of mathematics from secondary school onwards
602: 159:Topics studied in Further Mathematics included: 343:Mathematics: applications and interpretation HL 340:Mathematics: applications and interpretation SL 150:International Baccalaureate Diploma Programme 8: 379:"The Further Mathematics Support Programme" 148:Further Mathematics, as studied within the 22:is the title given to a number of advanced 477:"VCE Mathematics Study Design (2016-2021)" 593:The Further Mathematics Support Programme 53: 370: 337:Mathematics: analysis and approaches HL 334:Mathematics: analysis and approaches SL 403:"Mathematics Undergraduate Admissions" 459:"Medical school a-level requirements" 7: 144:International Baccalaureate Diploma 58:International Baccalaureate Diploma 617:(Resources on A level mathematics) 50:Victorian Certificate of Education 14: 294:and various first-order ordinary 605:(Advanced Math Support Program) 230:statistical hypothesis testing 1: 647: 359:Advanced level mathematics 44:courses. In the state of 321:route inspection problem 615:Underground Mathematics 317:Fermat's little theorem 234:bivariate distributions 232:and an introduction to 178:, linear and geometric 98:University of Cambridge 539:. 2020. Archived from 354:Additional Mathematics 309:mathematical induction 296:differential equations 54:§ Australia (Victoria) 631:Mathematics education 598:Mechanics M1 Material 313:Diophantine equations 94:University of Warwick 325:recurrence relations 305:Discrete mathematics 122:Australia (Victoria) 383:furthermaths.org.uk 226:unbiased estimators 20:Further Mathematics 292:improper integrals 267:group homomorphism 263:binary operations 222:negative binomial 191:- closer look on 638: 580: 575: 569: 568: 561: 555: 554: 552: 551: 545: 534: 526: 520: 519: 517: 516: 507:. Archived from 501: 495: 494: 492: 491: 481: 473: 467: 466: 463:The Student Room 455: 449: 448: 441: 435: 434: 423: 417: 416: 414: 413: 399: 393: 392: 390: 389: 375: 646: 645: 641: 640: 639: 637: 636: 635: 621: 620: 589: 584: 583: 576: 572: 563: 562: 558: 549: 547: 543: 532: 528: 527: 523: 514: 512: 503: 502: 498: 489: 487: 484:vcaa.vic.edu.au 479: 475: 474: 470: 457: 456: 452: 443: 442: 438: 427:"Out of school" 425: 424: 420: 411: 409: 401: 400: 396: 387: 385: 377: 376: 372: 367: 350: 255:algebra of sets 224:distributions, 180:transformations 146: 137: 124: 111: 71: 66: 17: 12: 11: 5: 644: 642: 634: 633: 623: 622: 619: 618: 612: 606: 600: 595: 588: 587:External links 585: 582: 581: 570: 556: 521: 496: 468: 450: 436: 418: 394: 369: 368: 366: 363: 362: 361: 356: 349: 346: 345: 344: 341: 338: 335: 328: 327: 298: 269: 236: 203: 201:conic sections 182: 168:Linear algebra 154:Mathematics HL 145: 142: 136: 133: 123: 120: 110: 107: 70: 67: 65: 64:United Kingdom 62: 34:United Kingdom 15: 13: 10: 9: 6: 4: 3: 2: 643: 632: 629: 628: 626: 616: 613: 610: 607: 604: 601: 599: 596: 594: 591: 590: 586: 579: 574: 571: 566: 560: 557: 546:on 2020-09-30 542: 538: 531: 525: 522: 511:on 2015-09-19 510: 506: 500: 497: 485: 478: 472: 469: 464: 460: 454: 451: 446: 440: 437: 433:. 2006-09-21. 432: 431:The Economist 428: 422: 419: 408: 407:warwick.ac.uk 404: 398: 395: 384: 380: 374: 371: 364: 360: 357: 355: 352: 351: 347: 342: 339: 336: 333: 332: 331: 326: 322: 318: 314: 310: 306: 302: 299: 297: 293: 289: 285: 281: 277: 273: 270: 268: 264: 260: 259:ordered pairs 256: 252: 248: 244: 240: 237: 235: 231: 227: 223: 219: 215: 211: 207: 204: 202: 198: 194: 190: 186: 183: 181: 177: 176:vector spaces 173: 170:- studies on 169: 165: 162: 161: 160: 157: 155: 151: 143: 141: 134: 132: 129: 121: 119: 117: 108: 106: 102: 99: 95: 89: 86: 84: 80: 76: 68: 63: 61: 59: 55: 51: 47: 43: 39: 35: 30: 28: 25: 21: 573: 564: 559: 548:. Retrieved 541:the original 536: 524: 513:. Retrieved 509:the original 499: 488:. Retrieved 483: 471: 462: 453: 439: 430: 421: 410:. Retrieved 406: 397: 386:. Retrieved 382: 373: 329: 300: 271: 238: 205: 184: 163: 158: 147: 138: 125: 112: 103: 90: 87: 72: 31: 19: 18: 578:Mathematics 537:seab.gov.sg 307:- complete 278:- infinite 214:probability 27:mathematics 550:2020-01-21 515:2015-09-26 490:2020-01-21 412:2020-01-21 388:2020-01-21 365:References 210:Statistics 69:Background 311:, linear 280:sequences 247:relations 218:geometric 193:triangles 135:Singapore 24:secondary 625:Category 609:Integral 348:See also 276:Calculus 189:Geometry 172:matrices 46:Victoria 38:AS-Level 301:Topic 6 272:Topic 5 239:Topic 4 206:Topic 3 197:circles 185:Topic 2 164:Topic 1 109:Support 79:applied 42:A-Level 32:In the 486:. 2015 288:limits 284:series 251:groups 216:- the 118:site. 96:, the 544:(PDF) 533:(PDF) 480:(PDF) 116:NRICH 52:(see 603:AMSP 323:and 282:and 265:and 249:and 243:Sets 220:and 212:and 199:and 77:and 75:pure 40:and 128:VCE 83:AQA 627:: 535:. 482:. 461:. 429:. 405:. 381:. 319:, 315:, 303:- 290:, 286:, 274:- 261:, 257:, 253:- 245:, 241:- 228:, 208:- 195:, 187:- 174:, 166:- 553:. 518:. 493:. 465:. 447:. 415:. 391:.

Index

secondary
mathematics
United Kingdom
AS-Level
A-Level
Victoria
Victorian Certificate of Education
§ Australia (Victoria)
International Baccalaureate Diploma
pure
applied
AQA
University of Warwick
University of Cambridge
NRICH
VCE
International Baccalaureate Diploma Programme
Mathematics HL
Linear algebra
matrices
vector spaces
transformations
Geometry
triangles
circles
conic sections
Statistics
probability
geometric
negative binomial

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