The current and official versions of the course specifications are available on the web at https://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, 2021 On-campus Toowoomba Short Description: Algebra and Calculus I Units : 1 Faculty or Section : Faculty of Health, Engineering and Sciences School or Department : School of Sciences Student contribution band : Band 1 ASCED code : 010101 - Mathematics Grading basis : Graded Version produced : 14 April 2021

## Staffing

Examiner: Oleksiy Yevdokimov

## Other requisites

Current skills at the level of Queensland Senior Secondary School Studies Maths B or equivalent are assumed. Students may need to study MAT1100 or ENM1500 PRIOR to this course. This course is equivalent to MAT1502 and substantially equivalent to ENM1600. Students cannot enrol in MAT1102 if they have successfully completed or are currently enrolled in MAT1502 or ENM1600.

For Bachelor of Education (Secondary) students undertaking a major or minor in mathematics, MAT1100, or equivalent is a pre-requisite.

## 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. Examine and apply mathematical techniques and skills to solve problems essential to further study in mathematics, applied mathematics and engineering
2. Interpret and solve a range of authentic problems involving mathematical concepts relevant to this course
3. Effectively communicate mathematical concepts and arguments using appropriate notation
4. Use computational aids for 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://omnia.usq.edu.au/textbooks/?year=2021&sem=01&subject1=MAT1102)

James, G. et al 2015, Modern engineering mathematics, 5th edn, Pearson (Prentice Hall).
Study Book (current year), Course MAT1102 algebra and calculus I, USQ Distance Education Centre, Toowoomba.
(Available on the course StudyDesk.)
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 2015, Elementary linear algebra, 8th edn, Houghton Mufflin Harcourt, Boston.
Larson, R 2015, Student solutions manual for Elementary linear algebra, 8th edn, Houghton Mifflin Harcourt, Boston.
Stewart, J 2010, Calculus: concepts & contexts, 4th edn, Thomson/Brooks/Cole, Australia.
(and the Student solutions guide.)

Activity Hours
Assessments 42.00
Lectures 52.00
Private Study 52.00
Tutorials 26.00

## Assessment details

Description Marks out of Wtg (%) Due Date Notes
ASSIGNMENT 1 100 5 08 Mar 2021
ASSIGNMENT 2 100 17 13 Apr 2021
ASSIGNMENT 3 100 18 24 May 2021
OPEN EXAMINATION - ONLINE 120 60 End S1 (see note 1)

Notes
1. This will be an online exam. Students will be provided further instruction regarding the exam by their course examiner via StudyDesk. The examination date will be available via UConnect when the Alternate Assessment Schedule has been released.

## Important assessment information

1. Attendance requirements:
It is students' responsibility to participate appropriately in all activities and to study all the course materials, including those posted on the course website, in order to maximise their chance of meeting the objectives of the course and to be informed of course-related activities and administration..

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:
Students should refer to the Assessment Procedure http://policy.usq.edu.au/documents.php?id=14749PL (point 4.2.4)

4. Requirements for student to be awarded a passing grade in the course:
Due to COVID-19 the requirements for S1 2021 are:
To be assured of receiving a passing grade a student must achieve at least 50% of the total weighted marks available for the course.

Requirements after S1 2021:
To be assured of receiving a passing grade a student must obtain at least 50% of the total weighted marks available for the course (i.e. the Primary Hurdle), and have satisfied the Secondary Hurdle (Supervised), i.e. the end of semester examination by achieving at least 40% of the weighted marks available for that assessment item.

Supplementary assessment may be offered where a student has undertaken all of the required summative assessment items and has passed the Primary Hurdle but failed to satisfy the Secondary Hurdle (Supervised), or has satisfied the Secondary Hurdle (Supervised) but failed to achieve a passing Final Grade by 5% or less of the total weighted Marks.

To be awarded a passing grade for a supplementary assessment item (if applicable), a student must achieve at least 50% of the available marks for the supplementary assessment item as per the Assessment Procedure http://policy.usq.edu.au/documents/14749PL (point 4.4.2).

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:
Due to COVID-19 the requirements for S1 2021 are:
An Open Examination is one in which candidates may have access to any printed or written material and a calculator during the examination.

Requirements after S1 2021:
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:
Normally Deferred and Supplementary Examinations are held in the next Examination period. In S1 2021 selected courses will pilot an early Deferred and Supplementary Examination period held within 30 business days of results release. The list of courses involved can be found at https://cmsauth.usq.edu.au/current-students/academic/exams/supplementary-and-deferred-assessment.

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. Exam paper presentation: All exam papers should be presented in accurate and clear writing by blue or black pen. Pencil writing is not acceptable. Assignments can be presented using any word processor such as Word or Latex, or can be neatly written by blue or black pen (but not by pencil).

## Other requirements

1. Computer, e-mail and Internet access:
Students are required to have access to a personal computer, e-mail capabilities and Internet access to UConnect. Current details of computer requirements can be found at http://www.usq.edu.au/current-students/support/computing/hardware .

2. Students can expect that questions in assessment items in this course may draw upon knowledge and skills that they can reasonably be expected to have acquired before enrolling in this course. This includes knowledge contained in pre-requisite courses and appropriate communication, information literacy, analytical, critical thinking, problem solving or numeracy skills. Students who do not possess such knowledge and skills should not expect the same grades as those students who do possess them.

Date printed 14 April 2021