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. Students are strongly recommended to complete MATH1021 or MATH1921 Calculus Of One Variable (Advanced) before commencing MATH1023 Multivariable Calculus and Modelling or MATH1923 Multivariable Calculus and Modelling (Adv).
Details
Academic unit  Mathematics and Statistics Academic Operations 

Unit code  MATH1021 
Unit name  Calculus Of One Variable 
Session, year
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Semester 2, 2022 
Attendance mode  Normal day 
Location  Camperdown/Darlington, Sydney 
Credit points  3 
Enrolment rules
Prohibitions
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MATH1901 or MATH1906 or ENVX1001 or MATH1001 or MATH1921 or MATH1931 

Prerequisites
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None 
Corequisites
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None 
Assumed knowledge
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HSC Mathematics Extension 1 or equivalent 
Available to study abroad and exchange students  Yes 
Teaching staff and contact details
Coordinator  Nathan Duignan, nathan.duignan@sydney.edu.au 

Lecturer(s)  Brad Roberts , brad.roberts@sydney.edu.au 
Nathan Duignan, nathan.duignan@sydney.edu.au  
Administrative staff  MATH1021@sydney.edu.au Please send all email regarding MATH1021 to this address. It goes to the unit of study coordinator, the lecturers and administrative support. 