MATHS 1011  Mathematics IA
North Terrace Campus  Semester 2  2021

General Course Information
Course Details
Course Code MATHS 1011 Course Mathematics IA Coordinating Unit School of Mathematical Sciences Term Semester 2 Level Undergraduate Location/s North Terrace Campus Units 3 Contact Up to 5 hours per week Available for Study Abroad and Exchange Y Prerequisites At least a C in both SACE Stage 2 Mathematical Methods (formerly Mathematical Studies) and SACE Stage 2 Specialist Mathematics; or a 3 in International Baccalaureate Mathematics HL; or MATHS 1013. Incompatible ECON 1005, ECON 1010, MATHS 1009, MATHS 1010 Assumed Knowledge At least B in both SACE Stage 2 Mathematical Methods (formerly Mathematical Studies) and SACE Stage 2 Specialist Mathematics. Students who have not achieved this standard are strongly advised to take MATHS 1013 before attempting MATHS 1011. Course Description This course, together with MATHS 1012 Mathematics IB, provides an introduction to the basic concepts and techniques of calculus and linear algebra, emphasising their interrelationships and applications to engineering, the sciences and financial areas, introduces students to the use of computers in mathematics, and develops problem solving skills with both theoretical and practical problems.
Topics covered are  Calculus: Functions of one variable, differentiation and its applications, the definite integral, techniques of integration. Algebra: Systems of linear equations, subspaces, matrices, optimisation, determinants, applications of linear algebra.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: Demonstrate understanding of and proficiency with basic concepts in linear algebra: systems of linear equations, subspaces, matrices, optimisation, determinants.
 Demonstrate understanding of and proficiency with basic concepts in calculus: functions of one variable, differentiation and its applications, the definite integral, techniques of integration.
 Employ methods related to these concepts in a variety of applications.
 Apply logical thinking to problemsolving in context.
 Demonstrate an understanding of the role of proof in mathematics.
 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) Deep discipline knowledge
 informed and infused by cutting edge research, scaffolded throughout their program of studies
 acquired from personal interaction with research active educators, from year 1
 accredited or validated against national or international standards (for relevant programs)
all Critical thinking and problem solving
 steeped in research methods and rigor
 based on empirical evidence and the scientific approach to knowledge development
 demonstrated through appropriate and relevant assessment
3,4,5 
Learning Resources
Required Resources
A comprehensive set of Course Notes will be available as a PDF on the MyUni site for this course. (More specific details will be provided on MyUni.)Recommended Resources
 Poole, D., Linear Algebra: a Modern Introduction 4th edition (Cengage Learning)
 Stewart, J., Calculus 9th edition (metric version) (Cengage Learning)
Online Learning
This course uses MyUni extensively and exclusively for providing electronic resources, such as lecture notes and videos, assignment and tutorial questions, and worked solutions. Students should make appropriate use of these resources. MyUni can be accessed here: https://myuni.adelaide.edu.au/
This course also makes use of online assessment software for mathematics called Mobius, which we use to provide students with instantaneous formative feedback. Further details about using Mobius will be provided on MyUni.
Students are also reminded that they need to check their University email on a daily basis. Sometimes important and timecritical information might be sent by email and students are expected to have read it. Any problems with accessing or managing student email accounts should be directed to Technology Services. 
Learning & Teaching Activities
Learning & Teaching Modes
This course relies on lecture videos to guide students through the material, tutorial classes to provide students with small group and individual assistance, and a sequence of written and online assignments to provide formative assessment opportunities for students to practise techniques and develop their understanding of the course.
We provide additional support via discussions on MyUni and via "dropin" help.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 84 Tutorials 11 11 Assignments 11 55 Mid Semester Test 1 6 Total 156 Learning Activities Summary
In Mathematics IA the two topics of algebra and calculus detailed below are taught in parallel, with two lectures a week on each. The tutorials are a combination of algebra and calculus topics, pertaining to the previous week's lectures.
Lecture Outline
Algebra Linear systems and GaussJordan elimination (5 lectures)
 Systems of linear equations and elementary operations
 Reduced row echelon form
 The three possible outcomes of GaussJordan elimination
 Applications
 Spanning sets and linearly independent sets (4 lectures)
 Linear combinations of vectors
 Homogeneous linear systems
 Linearly independent sets of vectors
 Subspaces and bases
 Matrix algebra (5 lectures)
 Addition of matrices
 Multiplication of matrices
 Applications
 Elementary matrices
 The inverse of a matrix
 Optimisation (6 lectures)
 Introduction, definitions
 Convex sets and vertices
 The method of slack variables
 Determinants (3 lectures)
 Definition of the determinant
 Determinants and elementary row operations
Calculus
 Functions (5 lectures)
 Definition, domain and range. Examples of functions.
 Inverses, inverse trigonometric functions.
 Zeros of functions.
 Limits, continuity.
 Interval bisection method.
 Differentiation and its applications (7 lectures)
 Definition, interpretation, concavity.
 Rules for differentiation (product, quotient, chain).
 Implicit differentiation, derivatives of inverses.
 Related rates.
 Maxima and minima of functions and applications
 Integration (10 lectures)
 Summation notation, definition of definite integral.
 Antiderivatives and The Fundamental Theorem of Calculus.
 Techniques of integration: substitution, parts, partial fractions.
 Applications.
 Improper integrals.
 Linear systems and GaussJordan elimination (5 lectures)

Assessment
The University's policy on Assessment for Coursework Programs is based on the following four principles:
 Assessment must encourage and reinforce learning.
 Assessment must enable robust and fair judgements about student performance.
 Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
 Assessment must maintain academic standards.
Assessment Summary
Assessment Task Task Type Weighting Learning Outcomes Written Assignments Formative and Summative 17.5% all Mobius Assignments Formative and Summative 17.5% all Mid Semester Test Summative and Formative 25% 1,2,3,4 Final Exam Summative 40% 1,2,3,4,5,6 Assessment Related Requirements
An aggregate score of 50% is required to pass the course.Assessment Detail
Precise details of the nature and timing of all assessment components will be provided on the MyUni site for this course.
Submission
See MyUni for more comprehensive details regarding assignment submission, our late policy etc.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 149 Fail P 5064 Pass C 6574 Credit D 7584 Distinction HD 85100 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.
Replacement and Additional Assessment Examinations (R/AA Exams)
Students are encouraged to read the University's R/AA exam information on the University’s Examinations webpage here:
https://www.adelaide.edu.au/student/exams/modifiedarrangementsforcourseworkassessment/replacementexaminationsandadditionalassessment 
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 ongoing 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
 Academic Support with Maths
 Academic Support with writing and speaking skills
 Student Life Counselling Support  Personal counselling for issues affecting study
 International Student Support
 AUU Student Care  Advocacy, confidential counselling, welfare support and advice
 Students with a Disability  Alternative academic arrangements
 Reasonable Adjustments to Teaching & Assessment for Students with a Disability Policy
 LinkedIn Learning

Policies & Guidelines
This section contains links to relevant assessmentrelated policies and guidelines  all university policies.
 Academic Credit Arrangement Policy
 Academic Honesty Policy
 Academic Progress by Coursework Students Policy
 Assessment for Coursework Programs
 Copyright Compliance Policy
 Coursework Academic Programs Policy
 Elder Conservatorium of Music Noise Management Plan
 Intellectual Property Policy
 IT Acceptable Use and Security Policy
 Modified Arrangements for Coursework Assessment
 Student Experience of Learning and Teaching Policy
 Student Grievance Resolution Process

Fraud Awareness
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