- Code MATH1116
- Unit Value 6 units
- Offered by Mathematical Sciences Institute
- ANU College ANU Joint Colleges of Science
- Course subject Mathematics
- Areas of interest Mathematics
- Academic career UGRD
- Dr Anthony Licata
- Dr Griffith Ware
- Mode of delivery In Person
Second Semester 2016
See Future Offerings
This course continues on from MATH1115, providing an in-depth development of fundamental concepts of calculus and linear algebra, with a particular emphasis on the underlying foundations of mathematics. The use and understanding of proof and abstract ideas, will allow students to develop analytical skills which will form a base for further study in fundamental mathematics as well as providing a foundation for a wide range of quantitative areas such as computer science, engineering, economics, statistics and physics.
Topics to be covered include:
Analysis - Functions of several variables, partial derivatives, double integrals; infinite series, convergence tests, power series, Taylor series, binomial series, complex power series, vectors, dot product, cross product, planes and lines in 3-space, vector functions, curves and parametrization, Kepler’s laws, functions of several variables, chain rule, gradients and directional derivatives, Quadratic forms, extreme values, Lagrange multipliers;
Algebra – induction, theory and application of Euclidean vector spaces, vector spaces, linear independence, bases and dimension, eigenvalues and eigenvectors, orthogonality and least squares.
Note: This is an Honours Pathway Course. It involves extra material and emphasizes the use and understanding of proof and abstract ideas to a deeper conceptual level than MATH1014.
Upon successful completion, students will have the knowledge and skills to:
On satisfying the requirements of this course, students will have the knowledge and skills to:
1. Explain the fundamental concepts of analysis and linear algebra and their role in modern mathematics and applied contexts.
2. Demonstrate accurate and efficient use of analysis and linear algebra techniques.
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from analysis and linear algebra.
4. Apply problem-solving using analysis and linear algebra techniques applied to diverse situations in physics, engineering and other mathematical contexts.
Assessment will be based on:
- Tutorials (5%; LO 1-4)
- Five assignments (25% in total: LO 1-4)
- Mid-semester test (25%; LO 1-4)
- Final examination (45%; LO 1-4)
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48 lectures and 10 hours of laboratory and tutorial sessions
Requisite and Incompatibility
Linear Algebra by David Lay
Calculus: A Complete Course, seventh Edition by Robert A. Adams
Tuition fees are for the academic year indicated at the top of the page.
If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.
- Student Contribution Band:
- Unit value:
- 6 units
If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees. Where there is a unit range displayed for this course, not all unit options below may be available.
Offerings and Dates
|Class number||Class start date||Last day to enrol||Census date||Class end date||Mode Of Delivery||Class Summary|
|7707||18 Jul 2016||29 Jul 2016||31 Aug 2016||28 Oct 2016||In Person||N/A|