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).
Unit details and rules
Unit code  MATH1021 

Academic unit  Mathematics and Statistics Academic Operations 
Credit points  3 
Prohibitions
?

MATH1901 or MATH1906 or ENVX1001 or MATH1001 or MATH1921 or MATH1931 
Prerequisites
?

None 
Corequisites
?

None 
Assumed knowledge
?

HSC Mathematics Extension 1 or equivalent 
Available to study abroad and exchange students  Yes 
Teaching staff
Coordinator  Mary Myerscough, mary.myerscough@sydney.edu.au 

Lecturer(s)  Mary Myerscough, mary.myerscough@sydney.edu.au 