MAT1102 Algebra and Calculus I
| Subject | Cat-nbr | Class | Term | Mode | Description | Units | Campus |
| MAT | 1102 | 86202 | 1, 2009 | ONC | Algebra and Calculus I | 1.00 | Toowoomba |
|---|
| Academic group: | FOSCI |
| Academic org: | FOS003 |
| Student contribution band: | 6 |
| ASCED code: | 010101 |
Contents
- Staffing
- Other requisites
- Rationale
- Synopsis
- Objectives
- Topics
- Texts
- Reference materials
- Student workload
- Assessment details
- Important assessment information
- Assessment notes
- Production date
-
PDF version
STAFFING
Examiner: Oleksiy YevdokimovModerator: Tim Passmore
OTHER REQUISITES
Pre-requisite: Up-to-date Maths B skills (Queensland Secondary School Studies).RATIONALE
Mathematical concepts and processes provide powerful descriptive and investigative tools for science, engineering, business and other fields. In particular, the techniques of calculus, matrices, vectors and complex numbers are fundamental for modelling and analysis in a wide range of applications. This course provides opportunity for students to advance their mastery of these topics, and explore their applications in many contexts.
SYNOPSIS
It is assumed that students entering this course have up-to-date Qld Maths B competencies, that is, well-established algebra, function, graphing and trigonometry competencies, and introductory level skills in matrices, vectors and calculus. This course advances conceptual and technical competencies in these fields by investigating limits, continuity, inverse functions, compositions, rational functions and implicit functions. Calculus concepts, differentiation and integration are advanced and used in problem-solving applications. Vector algebra is extended and applied to the description of lines and planes in space. Matrix algebra is extended to determinants, and used for modelling and to solve systems of linear equations in a range of settings. Euler notation is used to represent complex numbers and functions.
OBJECTIVES
On successful completion of this course students should be able to:
- 1.
- demonstrate advances in understanding of mathematical concepts that are essential for tertiary studies in engineering and surveying (Assignments and Exam);
- 2.
- demonstrate proficiency in the skills and competencies covered in this course (Assignments and Exam);
- 3.
- interpret and solve a range of authentic problems involving mathematical concepts relevant to this course and to engineering (Assignments and Exam);
- 4.
- effectively communicate the mathematical concepts, reasoning and technical skills contained in this course (Assignments and Exam);
- 5.
- use computing aids for computation, graphing, matrix manipulation, concept development and problem solving in algebra and calculus (Assignments and Exam).
TOPICS
| Description | Weighting (%) | |
|---|---|---|
| 1. | Mathematical writing and communication. |
10.00 |
| 2. | The library of common types of functions of one variable and their graphs; function concepts, and their applications. |
20.00 |
| 3. | Calculus: techniques of differentiation, higher derivatives and their applications; definite, indefinite and improper integrals, integration techniques; applications of calculus to engineering and science. |
30.00 |
| 4. | Vector algebra and cross product, and application to describing lines and planes in space. |
15.00 |
| 5. | Matrix algebra, inverse and determinants; applications to solving systems of linear equations in engineering and other contexts. |
15.00 |
| 6. | Complex number applications, Euler form and complex functions. |
10.00 |
TEXT and MATERIALS required to be PURCHASED or accessed
ALL textbooks and materials are available for purchase from USQ BOOKSHOP (unless otherwise stated). Orders may be placed via secure internet, free fax 1800642453, phone 07 46312742 (within Australia), or mail. Overseas students should fax +61 7 46311743, or phone +61 7 46312742. For costs, further details, and internet ordering, use the 'Textbook Search' facility at http://bookshop.usq.edu.au click 'Semester', then enter your 'Course Code' (no spaces).
Scientific calculator
Matlab (any recent version) Matlab is freely accessible in the USQ computer laboratories.
James, G. et al 2007, Modern engineering mathematics, 4th edn, Pearson (Prentice Hall).
Study Book 2009, Course MAT1102 algebra and calculus I, USQ Distance Education Centre, Toowoomba.
REFERENCE MATERIALS
Reference materials are materials that, if accessed by students, may improve their knowledge and understanding of the material in the course and enrich their learning experience.
Larson, R, Edwards, B & Falvo, D 2004, Elementary linear algebra, 5th edn, Houghton Mufflin, Boston, Massachusetts.
Larson, R & Edwards, B 2004, Student solutions guide - elementary linear algebra, 5th edn, Houghton Mifflin, Boston.
Stewart, J 2005, Calculus: concepts & contexts, 3rd edn, Thomson/Brooks/Cole, Australia.
(and the Student solutions guide)
STUDENT WORKLOAD REQUIREMENTS
| ACTIVITY | HOURS |
| Assessments | 26.00 |
| Lectures | 52.00 |
| Private Study | 52.00 |
| Tutorials | 13.00 |
ASSESSMENT DETAILS
| Description | Marks out of | Wtg(%) | Due date | Notes | |
|---|---|---|---|---|---|
| ASSIGNMENT 1 | 100.00 | 5.00 | 16 Mar 2009 | ||
| ASSIGNMENT 2 | 100.00 | 15.00 | 20 Apr 2009 | ||
| ASSIGNMENT 3 | 100.00 | 15.00 | 01 Jun 2009 | ||
| 2 HOUR OPEN EXAMINATION | 120.00 | 65.00 | END S1 | (see note 1) | |
NOTES
- 1.
- USQ will make the examination dates available during the semester. Students must refer to the official USQ examination timetable when it is published.
IMPORTANT ASSESSMENT INFORMATION
- Attendance requirements:
It is students' responsibility to study all the course materials, including those posted on the course website, in order to maximise their chance of meeting the course objectives. On-campus students (Semester 1 only) should participate responsibly in all scheduled activities: lectures, tutorials, computer laboratories. - Requirements for students to complete each assessment item satisfactorily:
To complete each of the assessment items satisfactorily, students must obtain at least 50% of the marks available for each assessment item. - Penalties for late submission of required work:
If students submit assignments after the due date without (prior) approval of the examiner then a penalty of 5% of the total marks gained by the student for the assignment may apply for each working day late up to ten working days at which time a mark of zero may be recorded. - Requirements for student to be awarded a passing grade in the course:
To be assured of receiving a passing grade a student must achieve at least 50% of the total weighted marks available for the course. - Method used to combine assessment results to attain final grade:
The final grades for students will be assigned on the basis of the weighted aggregate of the marks obtained for each of the summative assessment items in the course. - Examination information:
An open examination is one in which candidates may have access to any printed or written material and a calculator during the examination. - Examination period when Deferred/Supplementary examinations will be held:
Any Deferred or Supplementary examinations for this course will be held during the next examination period. - University Regulations:
Students should read USQ Regulations 5.1 Definitions, 5.6. Assessment, and 5.10 Academic Misconduct for further information and to avoid actions which might contravene University Regulations. These regulations can be found at the URL http://www.usq.edu.au/corporateservices/calendar/part5.htm or in the current USQ Handbook.
ASSESSMENT NOTES
| 9. | Keeping informed of course-related activities and notices: All students must regularly check the course website and discussion group, and read emails sent to the address they gave USQ. |
| 10. | Due dates: The due date for an assignment is the date by which a student must despatch the assignment to USQ. |
This version produced 28 Aug 2009.