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First Year University (Calculus & Linear Algebra)
Calculus & Linear Algebra

Most first year Uni maths courses* are based on calculus and linear algebra. The usually cover a selection of topics including a selection from the following list:

• limits
• continuity
• differentiation - chain, product and quotient rules
• integration - including by substitution and by parts
• differential equations
• inverse functions
• curve sketching - including parametric curves & polar coordinates
• complex numbers
• vectors, vector geometry and vector spaces
• matrices - systems of linear equations, determinants, inverses
• linear transformations
• eigenvalues and eigenvectors, diagonalisation of matrices
• probability, random variables and statistics

First year University maths or statistics courses have an assumed knowledge of at least HSC Mathematics (2 Unit Maths). Maths courses that physics, engineering or actuarial students take usually assume a knowledge of Mathematics Extension 1 (3 Unit Maths). You're expected to have knowledge of function sketching and basic calculus (limits, differentiation and integration) under your belt.

geek chick can help you get up to speed before the start of your course, or help you catch up if you're concerned that you're falling behind.

Provided she is not currently teaching the subjects for UNSW, geek chick runs Cram Courses for class tests for QMA, MATH1011, MATH1131 and MATH1231. These intensive revision classes include working through sample class tests or past class tests. Here's your opportunity to write your own worked solutions to the sample tests!
 

*NSW University Calculus & Linear Algebra courses include:

• MATH0001 - Fundamentals of Mathematics A (UNSW)
• MATH1011 - Fundamentals of Mathematics B (UNSW)
• MATH1131 & MATH1231 - Mathematics 1A & 1B (UNSW)
• MATH1031 - Mathematics for the Life and Social Sciences (UNSW)
• ECON1201 - Quantitative Methods A (QMA) (UNSW)
• 33130/33230 - Mathematical Modelling 1 & 2 (UTS)
• 200237/200238 - Mathematics for Engineers 1 & 2 (UWS)
• 200031 - Mathematics for Business (UWS)
• MATH101 - Algebra and Differential Calculus (UNE)
• MATH102 - Integral Calculus, Differential Equations and Introductory Statistics (UNE)
• AMTH246 - Mathematical Methods in the Sciences I (UNE)