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Further Mathematics

  • The course is designed specifically to allow students to learn about a variety of branches of mathematics in depth and also to appreciate practical applications.
  • The nature of the subject is such that it focuses on different branches of mathematics to encourage students to appreciate the diversity of the subject.
  • Students should be equipped at this stage in their mathematical progress to begin to form an overview of the characteristics that are common to all mathematical thinking, independent of topic or branch.
  • Enjoy mathematics, and develop an appreciation of the elegance and power of mathematics
  • Develop an understanding of the principles and nature of mathematics
  • Communicate clearly and confidently in a variety of contexts
  • Develop logical, critical and creative thinking, and patience and persistence in problem-solving
  • Employ and refine their powers of abstraction and generalization
  • Apply and transfer skills to alternative situations, to other areas of knowledge and to future developments
  • Appreciate how developments in technology and mathematics have influenced each other
  • Appreciate the moral, social and ethical implications arising from the work of mathematicians and the applications of mathematics
  • Appreciate the international dimension in mathematics through an awareness of the universality of mathematics and its multicultural and historical perspectives
  • Appreciate the contribution of mathematics to other disciplines, and as a particular “area of knowledge” in the TOK course.

Topic 1: Linear algebra
Topic 2: Geometry
Topic 3: Statistics and probability
Topic 4: Sets, relations and groups
Topic 5: Calculus
Topic 6: Discrete mathematics


    Paper 1
    Compulsory short- to medium-response questions based on the whole syllabus.

    Paper 2
    Compulsory medium- to extended-response questions based on the whole syllabus.

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