Reading Packs

Preliminary Reading for Students with Non VCE Mathematics

Students

  • who have not studied VCE Mathematics or
  • who have not studied for a number or years or
  • who need to revise some year 12 topics or
  • who need to do other bridging subjects

Select the subject that you are enrolling in:

  • Calculus 1

    MAST10005 Calculus 1 Reading Pack

    Students who have not done Trigonometric Functions should read the Notes on Trigonometric Functions.

    Notes on polynomial long division: How polynomial long division works

  • Calculus 2 & Linear Algebra

    MAST10006 Calculus 2 & MAST10007 Linear Algebra Reading Packs

    For students who have been admitted to Calculus 2 but who have not covered all the topics in Specialist Mathematics 3/4 required for Calculus 2, we provide the bridging notes listed below.

    • All Queensland students with Mathematics B and C need to download and study topics 1 to 3. Those who have not done the conics option should also download and study topic 4.
    • NSW students with Mathematics Extensions 1 but who have not done Mathematics Extensions 2 need to download and study Topics 5 and 6.

    Note that Topics 1, 2, 3, 4 and 6 are need for MAST10006 Calculus 2 and Topic 5 is needed for MAST10007 Linear Algebra.

    Topic 1. Trigonometric Functions

    • reciprocal trigonometric functions
    • trigonometric formulae
    • inverse trigonometric functions

    Topic 2. Differential Calculus

    • higher order derivatives
    • implicit differentiation
    • derivatives of inverse trigonometric functions

    Topic 3. Integral Calculus

    • standard integrals
    • integration using trigonometric identities
    • partial fractions and integration

    Topic 4. Conic Functions

    • Graphs of circles, ellipses and hyperbolae

    Topic 5. Vectors

    Topic 6. Complex Numbers

  • Accelerated Mathematics

    MAST10008/10009 Accelerated Mathematics Reading Packs

    For students who have been admitted to Accelerated Mathematics 1 but who have not covered all the topics in Specialist Mathematics 3/4 required for this subject, we provide reading lists (see below). The textbooks are

    1. AR – Anton & Rorres, Elementary Linear Algebra, Applications version, 10th edition, Wiley, 2010.
    2. WHG – Weir, Hass & Giordano, Thomas' Calculus, Pearson, 2005.

    Copies of these books are available in the Coop Bookroom at the University of Melbourne, or second hand from shops near the university, or in the ERC Library.

    Please note that all Queensland students with Mathematics B and C need to study topics 4 to 6. Those who have not done the conics option should also study topic 3.

    Reading for Semester 1:

    Topic 1. Vectors – AR Sections 3.1-3.3, p123-143

    Topic 2. Complex Numbers

    Topic 3. Conic Functions, Graphs of circles, ellipses and hyperbolae

    Reading for Semester 2:

    Topic 4. Trigonometric Functions

    • reciprocal trigonometric functions
    • trigonometric formulae
    • inverse trigonometric functions

    Topic 5. Differential Calculus

    • higher order derivatives
    • implicit differentiation
    • derivatives of inverse trigonometric functions

    Topic 6. Integral Calculus

    • standard integrals
    • integration using trigonometric identities
    • partial fractions and integration
  • Engineering Mathematics

    MAST20029 Engineering Mathematics Reading

    Students who have not done any functions of several variables need to read the Bridging Notes.

  • Vector Calculus

    MAST20009 Vector Calculus Reading Pack

    Students completing UMEP Mathematics in 2008 and beyond who are entering Vector Calculus before doing Calculus 2 or Accelerated Mathematics 2 should read the Bridging Notes