# Program Guide: What will I learn in Junior units?

Each semester-length Junior (that is, First Year) unit will introduce you to mathematical techniques that are fundamental to further study in many areas of science and engineering as well as in mathematics and statistics.

Each Advanced, Mainstream or Fundamental unit is worth 3 credit points and involves two lectures and one tutorial per week. The 6 credit point unit MATH1111 involves three lectures and two tutorials per week.

When you come to enrol you will receive the Junior Mathematics Courses Handbook which will give you further information to help you select a course appropriate to you needs and study aims. Meanwhile, if you would like further information please contact us on (02) 9351 5787.

## Advanced and Mainstream units

**Differential Calculus** MATH1001 (Mainstream) or MATH1901 (Advanced): Continues and extends the
calculus you learned at school.

**Linear Algebra** MATH1002 (Mainstream) or MATH1902 (Advanced): An introduction to systems of equations and related
geometrical transformations.

**Integral Calculus and Mathematical Modelling** MATH1003 (Mainstream) or MATH1903 (Advanced): You will learn about
processes and techiques for the application of mathematical tools to the
solution of practical problems.

**Discrete Mathematics** MATH1004 (Mainstream): The mathematics of counting. Here you will
learn about systematic counting techniques and the mathematical and computer
logic which underlies the application of these techniques.

**Statistics** MATH1005 (Mainstream) or MATH1905 (Advanced): An introduction to computer analysis of data and the
construction of probabilistic models and their uses in hypothesis testing
(which is the theoretical basis for all experimental sciences).

## Fundamental units

The Fundamental units of study are designed to provide you with an overview of the necessary mathematical and statistical background for the most common applications of mathematics that science students will encounter. These units are principally designed for students in the Faculty of Science whose major interest lies outside mathematics. In general, Fundamental units do not allow you to continue studying mathematics in the Intermediate year. Thus students intending to major in Physics, for example, should generally not choose the Fundamental Mathematics stream, because they will need some Intermediate Mathematics units.

**Applications of Calculus** MATH1011:Studies the modelling of data with mathematical functions
of several kinds, and the use of calculus in optimization problems.

**Biostatistics** MATH1015: An introduction to computer analysis of data and the
construction of probabilistic models and their uses in hypothesis testing
(which is the theoretical basis for all experimental sciences).

**Mathematical Modelling** MATH1013:You will learn more about the uses of
mathematics in the modelling of physical and scientific processes, and methods
for solving the equations that arise.

**Introduction to Linear Algebra** MATH1014:Introduces you to vectors and systems of
linear equations, emphasizing applications in life sciences and technological sciences.

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Undergraduate Program Guide contents page.