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.
2x1-hr lectures; 1x1-hr tutorial/wk
2 x quizzes (30%); 2 x assignments (5%); final exam (65%)
Calculus of One Variable (Course Notes for MATH1021)
HSC Mathematics Extension 1 or equivalent.
NSW HSC 2 unit Mathematics or equivalent or a credit or above in MATH1111Prohibitions
MATH1011 or MATH1901 or MATH1906 or ENVX1001 or MATH1001 or MATH1921 or MATH1931