IB Diploma Haese Mathematics: Further Mathematics HL: Linear Algebra and Geometry FM Topic 1 FM Topic 2

Description

The linear algebra topic introduces students to matrices, vector spaces, and linear transformations. Useful preparation for this topic including the introduction to matrices is provided online with our MYP5 Extended book. The principle of mathematical induction is useful for proofs in this topic, but is not essential in its preliminary study. The geometry topic aims to develop students' geometric intuition and deductive reasoning, particularly in plane Euclidean geometry. Most of this topic can be done using prior knowledge from the MYP5 extended course. However the final sections on conic sections requires calculus from the HL core course. Detailed explanations and key facts are highlighted throughout the text. Each sub-topic contains numerous worked examples, highlighting each step necessary to reach the answer for that example. Theory of knowledge is a core requirement in the international baccalaureate diploma programme, whereby students are encouraged to think critically and challenge the assumptions of knowledge. Discussion topics for theory of knowledge have been included on pages 124 and 129. These aim to help students discover and express their views on knowledge issues. Fully worked solutions are provided at the back of the text. However, students are encouraged to attempt each question before referring to the solution.