MATHS 1013 - Mathematics IM

North Terrace Campus - Semester 1 - 2015

This course provides the necessary additional mathematics to prepare students for MATHS 1011 Mathematics IA. The course develops logical thinking and problem solving skills with an emphasis on applications. Topics covered are: mathematical notation and deductive reasoning, trigonometric functions and their derivatives, separable differential equations and Euler's method, vectors and parametric curves, and complex numbers.

  • General Course Information
    Course Details
    Course Code MATHS 1013
    Course Mathematics IM
    Coordinating Unit School of Mathematical Sciences
    Term Semester 1
    Level Undergraduate
    Location/s North Terrace Campus
    Units 3
    Contact Up to 5.5 hours per week
    Available for Study Abroad and Exchange Y
    Prerequisites At least a C- in SACE Stage 2 Mathematical Studies or 4 in International Baccalaureate Mathematics SL
    Incompatible Maths 1009, Maths 1010
    Restrictions Not available to students with an A- or better in both Mathematical Studies and Specialist Mathematics.
    Course Description This course provides the necessary additional mathematics to prepare students for MATHS 1011 Mathematics IA. The course develops logical thinking and problem solving skills with an emphasis on applications. Topics covered are: mathematical notation and deductive reasoning, trigonometric functions and their derivatives, separable differential equations and Euler's method, vectors and parametric curves, and complex numbers.
    Course Staff

    Course Coordinator: Dr Adrian Koerber

    Course Timetable

    The full timetable of all activities for this course can be accessed from Course Planner.

  • Learning Outcomes
    Course Learning Outcomes
    On successful completion of this course students will be able to:
    1. Demonstrate understanding of introductory concepts in mathematics, relating to trigonometric functions, differential equations, vectors and complex numbers.
    2. Employ methods related to these concepts in a variety of applications.
    3. Apply logical thinking to problem-solving in context.
    4. Demonstrate skills in writing mathematics.
    University Graduate Attributes

    This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:

    University Graduate Attribute Course Learning Outcome(s)
    Knowledge and understanding of the content and techniques of a chosen discipline at advanced levels that are internationally recognised. all
    The ability to locate, analyse, evaluate and synthesise information from a wide variety of sources in a planned and timely manner. 2,3
    An ability to apply effective, creative and innovative solutions, both independently and cooperatively, to current and future problems. 1,2,3
    A commitment to continuous learning and the capacity to maintain intellectual curiosity throughout life. all
  • Learning Resources
    Required Resources
    Mathematics IM Student Notes.
    Recommended Resources
    None.
    Online Learning
    This course uses MyUni exclusively for providing electronic resources, such as lecture notes, assignment papers, and sample solutions. Students should make appropriate use of these resources. Link to MyUni login page: https://myuni.adelaide.edu.au/webapps/login/

    This course also makes use of online assessment software for mathematics called Maple TA, which we use to provide students with instantaneous formative feedback.

  • Learning & Teaching Activities
    Learning & Teaching Modes
    This course relies on lectures to guide students through the material, tutorial classes to provide students with class/small group/individual assistance, and a sequence of written and online assignments to provide formative assessment opportunities for students to practice techniques and develop their understanding of the course.
    Workload

    The information below is provided as a guide to assist students in engaging appropriately with the course requirements.


    Activity Quantity Workload hours
    Lectures 48 72
    Tutorials 11 22
    Assignments 11 62
    Total 156
    Learning Activities Summary
    Lectures and tutorials cover the following topics:

    0. Sets and Mathematical Notation

    1. Trigonometric Functions
    - Definitions, Identites, Graphs, Derivatives.

    2. Differential Equations
    - Definitions, first order separable DEs, Newton's law of cooling, the logistic equation, Euler's method.

    3. Vectors and Parametric Curves
    - Geometric and coordinate representations in 2D and 3D, length, dot product, projections, cross product, lines and planes, parametric curves and related rates.

    4. Complex numbers
    - Geometric and algebraic properties, mathematical induction, Polar form, De Moivre's theorem, zeros of real and complex polynomials, The Fundamental Theorem of Algebra.

    5 Deductive reasoning
    - Logic and reasoning, examples from Number Theory.
  • Assessment

    The University's policy on Assessment for Coursework Programs is based on the following four principles:

    1. Assessment must encourage and reinforce learning.
    2. Assessment must enable robust and fair judgements about student performance.
    3. Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
    4. Assessment must maintain academic standards.

    Assessment Summary
    Assessment Task Task Type Weighting Learning Outcomes
    Assignments Formative 20% all
    Tutorial Participation Formative 10% all
    Exam Summative 70% all
    Assessment Related Requirements
    An aggregate score of 50% is required to pass the course. Furthermore students must achieve at least 45% on the final examination to pass the course.
    Assessment Detail
    Assessment itemDistributedDue dateWeighting
    Assignment 1 week 1 week 3 1.8%
    Assignment 2 week 2 week 4 1.8%
    Assignment 3 week 3 week 5 1.8%
    Assignment 4 week 4 week 6 1.8%
    Assignment 5 week 5 week 7 1.8%
    Assignment 6 week 6 week 8 1.8%
    Assignment 7 week 7 week 9 1.8%
    Assignment 8 week 8 week 10 1.8%
    Assignment 9 week 9 week 11 1.8%
    Assignment 10 week 10 week 12 1.8%
    Assignment 11 week 11 week 13 1.8%

    Assignments 1-11 are made up of a written component, worth a total of 10%, and an online (Maple TA) component, worth 10%.

    Submission
    1. All written assignments are to be submitted at the designated time and place with a signed cover sheet attached.
    2. Late assignments will not be accepted without a medical certificate.
    3. Written assignments will have a one week turn-around time for feedback to students.
    4. Online Maple TA assignments provide instantaneous feedback to students.
    Course Grading

    Grades for your performance in this course will be awarded in accordance with the following scheme:

    M10 (Coursework Mark Scheme)
    Grade Mark Description
    FNS   Fail No Submission
    F 1-49 Fail
    P 50-64 Pass
    C 65-74 Credit
    D 75-84 Distinction
    HD 85-100 High Distinction
    CN   Continuing
    NFE   No Formal Examination
    RP   Result Pending

    Further details of the grades/results can be obtained from Examinations.

    Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.

    Final results for this course will be made available through Access Adelaide.

  • Student Feedback

    The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.

    SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.

  • Student Support
  • Policies & Guidelines
  • Fraud Awareness

    Students are reminded that in order to maintain the academic integrity of all programs and courses, the university has a zero-tolerance approach to students offering money or significant value goods or services to any staff member who is involved in their teaching or assessment. Students offering lecturers or tutors or professional staff anything more than a small token of appreciation is totally unacceptable, in any circumstances. Staff members are obliged to report all such incidents to their supervisor/manager, who will refer them for action under the university's student’s disciplinary procedures.

The University of Adelaide is committed to regular reviews of the courses and programs it offers to students. The University of Adelaide therefore reserves the right to discontinue or vary programs and courses without notice. Please read the important information contained in the disclaimer.