This course continues on from MATH1013. It emphasizes an understanding of the fundamental results from calculus and linear algebra which can both be applied across a range of fields including the physical and biological sciences, engineering and information technologies, economics and commerce, and can also serve as a base for future mathematics courses. Many applications and connections with other fields will be discussed although not developed in detail.
Topics to be covered include:
Calculus - Integration and techniques of integration. Functions of several variables - visualisation, continuity, partial derivatives and directional derivatives.
Linear Algebra - theory and application of Euclidean vector spaces. Vector spaces: linear independence, bases and dimension; eigenvalues and eigenvectors; orthogonality and least squares.
Learning Outcomes
Upon successful completion, students will have the knowledge and skills to:
Upon
successful completion of this course, students will have the knowledge and
skills to:
1. Explain the fundamental concepts of calculus and linear algebra and their role in modern mathematics and applied contexts. These concepts include vector spaces, eigenvalues and eigenvectors, orthogonality and least squares in linear algebra; and integration, sequences and series, functions of several variables, and partial differential equations in calculus.
2. Demonstrate accurate and efficient use of calculus and linear algebra techniques as they relate to the concepts listed above.
3. Demonstrate capacity for mathematical reasoning through explaining concepts from calculus and linear algebra.
4. Apply problem-solving using calculus and linear algebra techniques applied to diverse situations in physics, engineering and other mathematical contexts.
Indicative Assessment
workshops 25% (LO 1-4)
During Semester tests 25% (LO 1-4)
Final examination 50% (LO 1-4)
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Workload
Four lectures per week and regular workshops.Requisite and Incompatibility
Prescribed Texts
Linear Algebra (3rd edition or 3rd edition update, or 4th edition) by David Lay, Essential Calculus (second edition) by James Stewart.
Majors
Minors
Fees
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:
- 2
- 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.
| Units | EFTSL |
|---|---|
| 6.00 | 0.12500 |
Course fees
- Domestic fee paying students
| Year | Fee |
|---|---|
| 2019 | $3840 |
- International fee paying students
| Year | Fee |
|---|---|
| 2019 | $5460 |
Offerings, Dates and Class Summary Links
ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.
First Semester
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 2528 | 25 Feb 2019 | 04 Mar 2019 | 31 Mar 2019 | 31 May 2019 | In Person | View |
Second Semester
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 7503 | 22 Jul 2019 | 29 Jul 2019 | 31 Aug 2019 | 25 Oct 2019 | In Person | View |
Spring Session
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 8635 | 18 Nov 2019 | 18 Nov 2019 | 02 Dec 2019 | 20 Dec 2019 | In Person | N/A |