Course specification
The current and official versions of the course specifications are available on the web at http://www.usq.edu.au/course/specification/current.
Please consult the web for updates that may occur during the year.

# MAT1102 Algebra and Calculus I

 Semester 1, 2012 External Toowoomba Units : 1 Faculty or Section : Faculty of Sciences School or Department : Maths and Computing Version produced : 30 December 2013

## Staffing

Examiner: Oleksiy Yevdokimov
Moderator: Trevor Langlands

## Other requisites

BENG students are required to study either MAT1500 or MAT1100 prior to MAT1102. For students not in the BENG program, current skills at the level of Queensland Senior Secondary School Studies Maths B or equivalent are assumed. This course is equivalent to MAT1502. Students cannot enrol in MAT1102 if they have successfully completed MAT1502 or are currently enrolled in MAT1502.

## 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;
2. demonstrate proficiency in the skills and competencies covered in this course;
3. interpret and solve a range of authentic problems involving mathematical concepts relevant to this course and to engineering;
4. effectively communicate the mathematical concepts, reasoning and technical skills contained in this course;
5. use computing aids for computation, graphing, matrix manipulation, concept development and problem solving in algebra and calculus.

## 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 available to be purchased can be sourced from USQ's Online Bookshop (unless otherwise stated). (https://bookshop.usq.edu.au/bookweb/subject.cgi?year=2012&sem=01&subject1=MAT1102)

• James, G. et al 2007, Modern engineering mathematics, 4th edn, Pearson (Prentice Hall).
• Study Book 2011, Course MAT1102 algebra and calculus I, USQ Distance Education Centre, Toowoomba.
• Matlab (any recent version) Matlab is freely accessible in the USQ computer laboratories.
• Scientific calculator.

## 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 & Falvo, D 2009, Elementary linear algebra, 6th edn, Houghton Mufflin Harcourt, Boston.
• Larson, R 2009, Student solutions guide for Elementary linear algebra, 6th edn, Houghton Mifflin Harcourt, Boston.
• Stewart, J 2005, Calculus: concepts & contexts, 3rd edn, Thomson/Brooks/Cole, Australia.
(and the Student solutions guide.)

Activity Hours
Assessments 26.00
Private Study 117.00

## Assessment details

Description Marks out of Wtg (%) Due Date Notes
ASSIGNMENT 1 100 5 12 Mar 2012
ASSIGNMENT 2 100 15 16 Apr 2012
ASSIGNMENT 3 100 15 28 May 2012
2 HOUR RESTRICTED EXAMINATION 120 65 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

1. 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.

2. 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.

3. 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.

4. 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.

5. Method used to combine assessment results to attain final grade:
The final grades for students will be assigned on the basis of the aggregate of the weighted marks obtained for each of the summative assessment items in the course.

6. Examination information:
The only materials that candidates may use in the restricted examination for this course are: writing materials (non-electronic and free from material which could give the student an unfair advantage in the examination); Calculators which are not programmable or graphical and cannot hold textual information (students must indicate on their examination paper the make and model of any calculator(s) they use during the examination); One A4 sheet, written or typed on one or both sides with any material the student wishes to have. Students whose first language is not English, may take an appropriate unmarked non-electronic translation dictionary (but not technical dictionary) into the examination. Dictionaries with any handwritten notes will not be permitted. Translation dictionaries will be subject to perusal and may be removed from the candidate's possession until appropriate disciplinary action is completed if found to contain material that could give the candidate an unfair advantage.

7. 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.

8. University Student Policies:
Students should read the USQ policies: Definitions, Assessment and Student Academic Misconduct to avoid actions which might contravene University policies and practices. These policies can be found at http://policy.usq.edu.au.

## Assessment notes

1. 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.

2. Due dates: The due date for an assignment is the date by which a student must despatch the assignment to USQ.

3. The referencing system to be used in this course is supported by the Department. Information on this referencing system and advice on how to use it can be found in the course materials.