MATH1051: Calculus and Linear Algebra I Course Profile

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Course Profile for MATH1051 Calculus and Linear Algebra I, 2002/2

(2 unit, 3 Lectures, 1 Tutorial, 1 Laboratory) 

This is a preliminary course profile for MATH1051. Changes may be made without notice. 

Course Objective

  • MATH1051 will give you the most important fundamental skills and machinery for solving problems using calculus and linear algebra. The course also provides computer training to implement many of the concepts in practical applications. MATH1051 will expose you to a broad array of problems and fields where calculus and linear algebra plays an important role.

Contact and Advice 

Assumed Background 

  • There are no prerequisites for MATH1051, but you should have reasonable scores at senior mathematics (maths C). You may need to do background reading to understand the lecture material. The material covered in MATH1050 leads naturally into MATH1051. It is a student's own responsibility to fill in any gaps in their assumed knowledge. You may need to undertake background reading to understand the lecture material.

Teaching Mode 

  • Three hours of lectures, one hour of tutorial and one hour of Matlab laboratory per week.
  • Lectures: (see SI-net for current status) L1 Mon 10-11 (23-1), L2 Tue 8-9 (UQ Theatre), L3 Fri 10-11 (UQ Theatre).
  • Tutorials: (see SI-netfor current status) Ta MON 9-10 (67-343), Tb TUE 1-2 (67-342), Tc WED 8-9 (67-341), Td WED 9-10 (67-341), Te WED 2-3 (67-341), Tf WED 3-4 (67-342), Tg THU 1-2 (67-343), Th FRI 12-1 (43-105), Ti FRI 1-2 (3-234), Tj FRI 2-3 (67-341), Tk MON 1-2 (9-722), Tl WED 1-2 (67-240).
  • Computer Labs (All held in 67-542): (see SI-net for current status) Pa MON 9-10, Pb TUE 1-2, Pc WED 8-9, Pd WED 9-10, Pe WED 2-3, Pf THU 1-2, Pg FRI 11-12, Ph FRI 12-1 
  • There are no tutorials in week 1 
  • Public holidays: Wednesday, August 14
  • Examination period:Study week is November 4-8. Examination period is November 11-23, 2002.

Syllabus 

  • The Calculus section will cover: functions, inverse functions, limits, continuity, differentiation, sequences, series, Taylor series, relative and absolute maxima and minima, integration, complex numbers. 
  • The Linear Algebra section will cover: vectors, vector spaces, matrices, Gaussian elimination, determinants, vector products, equation of line and plane, eigenvalues and eigenvectors. 
  • The Matlab training in the course will cover: graphing, vector manipulation, functions, modelling, what-if scenarios. 
  • There are separate modules to cover the matlab, but the following text topics also cover some numerical work: Stewart chapters 4.9, 8.7.  Strang chapters 9.1, 9.3, and see the Matlab link at the course website. 

Information Changes 

  • Any changes to course information will be announced in lectures and the information will be reproduced on the web page ( http://www.maths.uq.edu.au/courses/MATH1051). It is your responsibility to keep up to date with all information presented in your lecture group.

Resources 

  • Course Notes: The textbooks will be the main reference. The web page will contain a list of the topics and page references covered in the lectures. You should take notes in the lectures where examples will be given and important points will be emphasised.
  • Text: The texts are: 
    1. Calculus (4th ed), Stewart, Brooks/Cole (Corresponding page numbers etc. for the third edition will also be listed. Follow this link)
    2. Linear Algebra (2nd ed), Gilbert Strang, Wellesley-Cambridge 
  • References: Many texts in the library will assist students. For calculus texts, look around the QA303 call numbers (Hughes-Hallett, Thomas and Finney); for linear algebra, look around the QA184 call numbers (Rorres and Anton).
  • Software: Matlab is available in the labs in 67-542  (you need a username and password). A student version is also available for purchase at bookshops and software outlets for a reduced price. 
  • Web: The course web page is at http://www.maths.uq.edu.au/courses/MATH1051. Information about the course and other resources are available there.
  • Other Resources: Information about the examinations and other resource material are available at the Resources page.

Assessment 

  • Assessment Scheme: The assessment will be weighted according to a midsemester exam (on a Saturday around 21 September 2002) (25%), tutorials (5%), a Matlab assignment (10%) and the final examination (60%).
  • Submission of tutorials: Tutorial assignments should be submitted to your tutor in your tutorial session. There will be five sets of problems to submit. 
  • Submission of Matlab assignments: Matlab assignments must be submitted on the due date in the manner described on the assignment sheet.
  • If you miss an assessment item: In case of illness (or bereavement) you may be exempted from an assignment if a medical certificate (or other documentation) is received by the course co-ordinator within one week of the due date of the assignment. If you are exempted, then your assignment marks are weighted on a pro-rata basis. 
  • Missed assessment items: Failure to complete any item of assessment will result in a mark for zero for that component.
  • Plagiarism: Plagiarism is the act of using other author's ideas and words or solutions without acknowledgement. It is a form of cheating and is considered as misconduct under official university policy and may attract severe penalties. You must not engage in plagiarism in any of your assignments. For more information, consult the libarary UseIt on Plagiarism: http://www.library.uq.edu.au/ssah/useits/plaguseit.html. The official university policies cover the offence of plagiarism.
  • Midsemester Examination: Held around 21 September (Saturday). It is worth 25%. The exam will be 1 hour of working time. Any handheld calculators are permitted, but the contents of memory must be erased before entering the exam (your calculators will be checked).
  • Final Examination: The final exam is closed book 2 hours long. Any handheld calculators are permitted, but the contents of memory must be erased before entering the exam (your calculators will be checked). 
  • Assessment Criteria:
    • To earn a Grade of 7, a student must demonstrate an excellent understanding of all of the theory. This includes clear expression of nearly all their deductions and explanations, the use of appropriate and efficient mathematical techniques and accurate answers to nearly all questions and tasks with appropriate justification. 
    • To earn a Grade of 6, a student must demonstrate a comprehensive understanding of the theory of advanced analysis. This includes clear expression of most of their deductions and explanations, the general use of appropriate and efficient mathematical techniques and accurate answers to most questions and tasks with appropriate justification. 
    • To earn a Grade of 5, a student must demonstrate an adequate understanding of the course theory. This includes clear expression of some of their deductions and explanations, the use of appropriate and efficient mathematical techniques in some situations and accurate answers to some questions and tasks with appropriate justification. 
    • To earn a Grade of 4, a student must demonstrate an understanding of the basic concepts of advanced analysis. This includes occasionally expressing their deductions and explanations clearly, the occasional use of appropriate and efficient mathematical techniques and accurate answers to a few questions and tasks with appropriate just ification. They will have demonstrated knowledge of techniques used to solve problems and applied this knowledge in some cases. 
    • To earn a Grade of 3, a student must demonstrate some knowledge of the basic concepts of advanced analysis. This includes occasional expression of their deductions and explanations, the use of a few appropriate and efficient mathematical techniques and attempts to answer a few questions and tasks accurately and with appropriate justification. They will have demonstrated knowledge of techniques used to solve problems. 
    • To earn a Grade of 2, a student must demonstrate some knowledge of the basic concepts of advanced analysis. This includes attempts at expressing their deductions and explanations and attempts to answer a few questions accurately. 
    • A student will receive a Grade of 1 if they demonstrate extremely poor knowledge of the basic concepts in the course material. This includes attempts at answering some questions but showing an extremely poor understanding of the key concepts. 

Graduate Attributes

    In-Depth Knowledge of the Field of Study

    • You will get an in-depth understanding of the foundation mathematical techniques as described in the course content. How? 
    • You will achieve an understanding of the breadth of mathematics. How? 
    • You will obtain an understanding of the applications of mathematics to other fields. How? 
    • You will receive an understanding of computational applications of mathematics. How? 

    Effective Communication

    • You will gain the ability to present a logical sequence of reasoning using appropriate mathematical notation and language. How?
    • You will learn to interact effectively with others in order to work towards a common goal. How?
    • You will get the ability to select and use the appropriate level, style and means of written communication, using the symbolic, graphical, and diagrammatic forms relevant to the context. How?
    • You will obtain the ability to effectively and appropriately use information technologies. How?

    Independence and Creativity

    • You will improve your ability to work and learn independently. How?
    • You will get the ability to generate and synthesise ideas and adapt innovatively to changing environments. How?
    • You will obtain the ability to formulate problems mathematically. How?
    • You will receive the ability to generate approaches for the mathematical solution of problems including the identification and adaptation of existing methods. How?
    • The ability to effectively and appropriately use computing technologies. How?

    Critical Judgement

    • You will improve your ability to identify and define problems. How?
    • The ability to evaluate methodologies and models, to make decisions and to reflect critically on the mathematical bases for these decisions. How?
    • The ability to apply critical reasoning to analyse and evaluate a piece of mathematics. How?

    Ethical and Social Understanding

    • Students will obtain knowledge and respect of ethical standards in relation to working in the area of mathematics. How? 
    • An appreciation of the history of mathematics as an ongoing human endeavour. How? 

Personal Situation 

  • Disabilities: Any student with a disability who may require alternative academic arrangements in the course is encouraged to seek advice at the commencement of the semester from a Disability Adviser at Student Support Services. 
  • Personal Crises: If you feel that problems in your life are interfering with your university performance, you should consult Student Support Services in the Student Union complex. They offer academic and personal support in a confidential environment for free to students. They can provide a letter to give to lecturers which will help your case for a special exam (there is no longer special consideration for examinations), but do not leave it too late. If you are concerned about privacy with regard to medical certificates, please contact the University Health Service. With your permission, the Director will contact your treating practitioner to clarify the extent of your medical condition or other incapacity, and provide lecturers with a report - the Director is bound by confidentiality obligations. In any case, we prefer this course of action, as we are not qualified to assess medical evidence. The procedure outlined here accords with the University's policy on student privacy and confidentiality. 

MATH1051 Web Page.