## 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

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

• 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

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.

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

Topic 2. Complex Numbers

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