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Unit of study_

Calculus Of One Variable (Advanced) - MATH1921

Year - 2018

Calculus is a discipline of mathematics that finds profound applications in science, engineering, and economics. This unit investigates differential calculus and integral calculus of one variable and the diverse applications of this theory. Emphasis is given both to the theoretical and foundational aspects of the subject, as well as developing the valuable skill of applying the mathematical theory to solve practical problems. Topics covered in this unit of study include complex numbers, functions of a single variable, limits and continuity, differentiation, optimisation, Taylor polynomials, Taylor's Theorem, Taylor series, Riemann sums, and Riemann integrals. Additional theoretical topics included in this advanced unit include the Intermediate Value Theorem, Rolle's Theorem, and the Mean Value Theorem.

Classes
2x1-hr lectures; and 1x1-hr tutorial per week

Assessment
exam, quizzes, assignments

Textbooks
As set out in the Junior Mathematics Handbook

Assumed knowledge
(HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent.

Prohibitions

MATH1001 or MATH1011 or MATH1906 or MATH1111 or ENVX1001 or MATH1901 or MATH1021 or MATH1931

Details

Faculty: Science

Semester 1

05 Mar 2018

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Mar 2018
Unit of study level: Junior
Credit points: 3.0
EFTSL: 0.063
Available for study abroad and exchange: Yes
Faculty/department permission required? Yes
Location
Camperdown
Courses that offer this unit

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 undertake cross-institutional study in one or more units of study at the University of Sydney.

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