Applications of Calculus (MATH1011)

UNIT OF STUDY

This unit is designed for science students who do not intend to undertake higher year mathematics and statistics. It establishes and reinforces the fundamentals of calculus, illustrated where possible with context and applications. Specifically, it demonstrates the use of (differential) calculus in solving optimisation problems and of (integral) calculus in measuring how a system accumulates over time. Topics studied include the fitting of data to various functions, the interpretation and manipulation of periodic functions and the evaluation of commonly occurring summations. Differential calculus is extended to functions of two variables and integration techniques include integration by substitution and the evaluation of integrals of infinite type.

Our courses that offer this unit of study

Further unit of study information

Classes

Two 1 hour lectures and one 1 hour tutorial per week.

Assessment

One 1.5 hour examination, assignments and quizzes (100%)

Textbooks

As set out in the Junior Mathematics Handbook

Faculty/department permission required?

No

Unit of study rules

Prerequisites and assumed knowledge

HSC Mathematics

Prohibitions

MATH1001, ENVX1001, MATH1901, MATH1906, MATH1111, BIOM1003

Study this unit outside a degree

Non-award/non-degree study

If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student.

Cross-institutional study

If you are from another Australian tertiary institution you may be permitted to underake cross-institutional study in one or more units of study at the University of Sydney.