MATHS 1011  Mathematics IA
North Terrace Campus  Semester 2  2024

General Course Information
Course Details
Course Code MATHS 1011 Course Mathematics IA Coordinating Unit Mathematical Sciences Term Semester 2 Level Undergraduate Location/s North Terrace Campus Units 3 Contact Up to 3 hours per week Available for Study Abroad and Exchange Y Prerequisites At least a C in both SACE Stage 2 Mathematical Methods and SACE Stage 2 Specialist Mathematics; or at least 3 in IB Mathematics: analysis and approaches 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 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) Attribute 1: Deep discipline knowledge and intellectual breadth
Graduates have comprehensive knowledge and understanding of their subject area, the ability to engage with different traditions of thought, and the ability to apply their knowledge in practice including in multidisciplinary or multiprofessional contexts.
all Attribute 2: Creative and critical thinking, and problem solving
Graduates are effective problemssolvers, able to apply critical, creative and evidencebased thinking to conceive innovative responses to future challenges.
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 course notes and videos, assignment and workshop 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 course videos and seminars to guide students through the material, workshop 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 Course Notes & Videos 1 set 72 Seminars 12 12 Workshops 11 11 Assignments & Practice 11 55 Mid Semester Test 1 6 Total 156 Learning Activities Summary
In Mathematics IA the two topics of linear algebra and calculus detailed below are taught in parallel.
Topic Outline
Linear Algebra Linear systems and GaussJordan elimination
 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
 Linear combinations of vectors
 Homogeneous linear systems
 Linearly independent sets of vectors
 Subspaces and bases
 Matrix algebra
 Addition of matrices
 Multiplication of matrices
 Applications
 Elementary matrices
 The inverse of a matrix
 Optimisation
 Introduction, definitions
 Convex sets and vertices
 The method of slack variables
 Determinants
 Definition of the determinant
 Determinants and elementary row operations
Calculus
 Functions
 Definition, domain and range. Examples of functions.
 Inverses, inverse trigonometric functions.
 Zeros of functions.
 Limits, continuity.
 Interval bisection method.
 Differentiation and its applications
 Definition, interpretation, concavity.
 Rules for differentiation (product, quotient, chain).
 Implicit differentiation, derivatives of inverses.
 Related rates.
 Maxima and minima of functions and applications
 Integration
 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

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 Hurdle criteria Learning Outcomes Workshop Participation Formative 5% all Written Assignments Formative and Summative 10% all Mobius Assignments Formative and Summative 10% all Mid Semester Test Summative and Formative 15% 1,2,3,4 Final Exam Summative 60% 40% all Assessment Related Requirements
The final exam has a hurdle requirement: students must achieve at least 40% on the final exam in order to pass the course.
An overall score of 50% is required to pass the course.Assessment Detail
Workshop participation requires attendance in person.
Mobius assignments are due every week with the first due in Week 3.
Written assignments are due every fortnight with the first due in Week 3.
The Midsemester Test is an inperson test.
The final Exam is an inperson exam.Submission
Assignments are submitted online via MyUni.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.
Assignments are submitted online via MyUni. 
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 Integrity for Students
 Academic Support with Maths
 Academic Support with writing and study skills
 Careers Services
 International Student Support
 Library Services for Students
 LinkedIn Learning
 Student Life Counselling Support  Personal counselling for issues affecting study
 Students with a Disability  Alternative academic arrangements
 YouX Student Care  Advocacy, confidential counselling, welfare support and advice

Policies & Guidelines
This section contains links to relevant assessmentrelated policies and guidelines  all university policies.
 Academic Credit Arrangements Policy
 Academic Integrity Policy
 Academic Progress by Coursework Students Policy
 Assessment for Coursework Programs Policy
 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 Policy
 Reasonable Adjustments to Learning, Teaching & Assessment for Students with a Disability Policy
 Student Experience of Learning and Teaching Policy
 Student Grievance Resolution Process

Fraud Awareness
Students are reminded that in order to maintain the academic integrity of all programs and courses, the university has a zerotolerance approach to students offering money or significant value goods or services to any staff member who is involved in their teaching or assessment. Students offering lecturers or tutors or professional staff anything more than a small token of appreciation is totally unacceptable, in any circumstances. Staff members are obliged to report all such incidents to their supervisor/manager, who will refer them for action under the university's studentâ€™s disciplinary procedures.
The University of Adelaide is committed to regular reviews of the courses and programs it offers to students. The University of Adelaide therefore reserves the right to discontinue or vary programs and courses without notice. Please read the important information contained in the disclaimer.