Subject description
MATH201 is one of four core 200 level Mathematics subjects and is a prerequisite for many 300 level subjects in Mathematics and Statistics. This subject extends the calculus of one variable to the calculus of more than one variable. Applications are given to maxima and minima, multiple integrals, vector calculus, … For more content click the Read More button below.
Enrolment rules
Pre-Requisite
Equivalence
MTH8202 - Differential Equations. Analysis and Application
Tutorial enrolment
Students can enrol online via the Tutorial Enrolment link in SOLS
Delivery
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Teaching staff
Subject coordinators
Engagement hours
Contact Hours:1 x 2 hour lecture, 1 x 1 hour lecture, 1 hour tutorial
Learning outcomes
On successful completion of this subject, students will be able to:
1.
Demonstrate knowledge of finite-dimensional vector spaces, including related concepts such as inner products and cross products, and of functions between finite-dimensional vector spaces;
2.
Calculate partial derivatives of functions of several variables using methods such as the chain rule and polar coordinates, and prove identities involving partial derivatives;
3.
Demonstrate knowledge of the definition and geometrical meaning of the integral of a function of one or two variables, and use Jacobians to calculate integrals of multivariable functions where the variables undergo transformation;
4.
Examine applications of differentiation of multivariable functions, including the calculation of maxima and minima of functions both with and without constraints, and the calculation of Taylor series;
5.
Differentiate and integrate over surfaces and volumes;
6.
Demonstrate knowledge of vector fields and related concepts, and be able to calculate with them;
7.
Demonstrate an appreciation of the conceptual framework and ideas in multivariate and vector calculus by, for example, being able to give definitions of notions and concepts, state results precisely, and by giving some proofs.
Assessment details
Quizzes
Assignments
Mid-session exam
Final Examination
Work integrated learning
Foundational WIL:This subject contains elements of "Foundational WIL". Students in this subject will observe, explore or reflect on possible career pathways or a work-related aspect of their discipline.
Textbook information
No prescribed textbooks for this subject.