• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Undergraduate
  • Course convener
    • Dr Griffith Ware
    • Dr Linda Stals
  • Mode of delivery In Person
  • Offered in First Semester 2017
    See Future Offerings

This course begins an in-depth study of the 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 actuarial studies, computer science, engineering, economics, statistics and physics.

Topics to be covered include: Analysis - axioms for the real numbers, completeness, sequences and convergence, continuity, existence of extrema, limits, continuity, differentiation, inverse functions, transcendental functions, extrema, concavity and inflections, applications of derivatives, Taylor Polynomials, integration, differential equations; Linear Algebra - complex numbers, solving linear equations, matrix equations, linear independence, linear transformations, matrix operations, matrix inverses, subspaces, dimension and rank, determinants, Cramer's rule, volumes.

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 MATH1013.

Learning Outcomes

On satisfying the requirements 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
2. Demonstrate accurate and efficient use of calculus and linear algebra techniques
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and 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

Other Information

Secondary School Prerequisite: A satisfactory pass in the ACT Specialist Mathematics double major, NSW HSC Mathematics Extension 2 or equivalent. Students with excellent results in either the ACT Specialist Mathematics major-minor, NSW HSC Mathematics Extension 1, or equivalent, may be permitted to enrol.



Students enrolled in MATH1115 may be eligible to take MATH2222 and should contact the course convenor of MATH2222 for a permission code.

Indicative Assessment

Assessment will be based on:

    • Tutorial presentation (0-5%; LO 1-4)
    • Assignments and online quizzes (20-25%; LO 1-4)
    • Tests during the semester (25%-30%; LO 1-4)
    • Final examination (40-50%; LO 1-4)

      The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.

      Workload

      Four lectures per week and regular of tutorials.

      Requisite and Incompatibility

      You are not able to enrol in this course if you have previously completed MATH1013 or MATH1113.

      Prescribed Texts

      Essential Calculus (2nd edition) by James Stewart.

      Elementary Linear Algebra : Applications Version (10th or 11th edition) by Howard Anton and Chris Rorres.

      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:
      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
      Domestic fee paying students
      Year Fee
      2017 $3444
      International fee paying students
      Year Fee
      2017 $4590
      Note: Please note that fee information is for current year only.

      Offerings and Dates

      The list of offerings for future years is indicative only

      First Semester

      Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery
      2666 20 Feb 2017 27 Feb 2017 31 Mar 2017 26 May 2017 In Person

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