• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career UGRD
  • Course convener
    • AsPr Linda Stals
  • Mode of delivery In Person
  • Offered in First Semester 2019
    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

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 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:

    • Workshop 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)

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      Four lectures per week and regular of workshops.

      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.




      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.

      Units EFTSL
      6.00 0.12500
      Domestic fee paying students
      Year Fee
      2019 $3840
      International fee paying students
      Year Fee
      2019 $5460
      Note: Please note that fee information is for current year only.

      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.

      The list of offerings for future years is indicative only.
      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
      2529 25 Feb 2019 04 Mar 2019 31 Mar 2019 31 May 2019 In Person View

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