Course outline. Code: MTH312 Title: Numerical Analysis

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1 Course outline Code: MTH312 Title: Numerical Analysis Faculty of: Science, Health, Education and EngineeringScience, Health, Education and Engineering Teaching Session: Semester 2 Year: 2017 Course Coordinator: Dr Aaron Wiegand Tel: awiegand@usc.edu.au Course Moderator: Dr Robert McDougall rmcdouga@usc.edu.au 1. What is this course about? 1.1 Course description In this course, you will be introduced to the mathematical analysis of numerical problems such as those that are encountered in many disciplines, including the physical sciences and engineering. You will learn to select, configure and use suitable computational tools with appropriate numerical methods for integration and optimization, simulation techniques, applications of differential equations and presentation of data. You will also learn to use MATLAB in order to explore and apply the mathematical techniques taught in the lectures. 1.2 Course content Numerical analysis, linear algebra, function approximation, numerical differentiation, numerical integration. 2. Unit value 12 units Version Semester Recfind File Number: F14935

2 Page 2 3. How does this course contribute to my learning? On successful completion of this course you should be able to: Recall, explain and apply the theory, tools and techniques of topics related to numerical methods of analysis. Select and combine tools and techniques in numerical analysis to solve mathematical problems in mathematics and science. Comprehend and communicate concepts and techniques relevant to numerical analysis, using either written English or mathematical notations, as appropriate. Calculate and record results accurately and precisely. You will be assessed on the learning outcome in task/s: 1: Short Assignments 2: Mid Semester Exam 3: Final Exam 1: Short Assignments 2: Mid Semester Exam 3: Final Exam 1: Short Assignments 2: Mid Semester Exam 3: Final Exam 1: Short Assignments 2: Mid Semester Exam 3: Final Exam Completing these tasks successfully will contribute to you becoming: Knowledgeable. Empowered. Creative and critical thinkers. Empowered. Knowledgeable. Empowered. Knowledgeable. Empowered. 4. Am I eligible to enrol in this course? Refer to the Undergraduate Coursework Programs and Awards - Academic Policy for definitions of prerequisites, co-requisites and anti-requisites 4.1 Enrolment restrictions Nil 4.2 Pre-requisites MTH Co-requisites Nil 4.4 Anti-requisites MTH Specific assumed prior knowledge and skills (optional) Matrix operations, Differential Calculus, Integral Calculus 5. How am I going to be assessed? 5.1 Grading scale Standard High Distinction (HD), Distinction (DN), Credit (CR), Pass (PS), Fail (FL)Standard High Distinction (HD), Distinction (DN), Credit (CR), Pass (PS), Fail (FL)

3 5.2 Assessment tasks Task No. MTH312 Assessment Tasks Individual or Group 1 Short Assignments 2 Mid-semester Examination 3 End of Semester Examination Assessment Task 1: Short Assignments Page 3 Weighting % What is the duration / length? When should I submit? Where should I submit it? Individual 30% Approx. 3 hours Start of lectures Hard copy to each Weeks 4, 8, 12, 13 lecturer Individual 20% 1.5 hours Week 7 Lecture In class Individual 50% 2 hours Central examination period 100% N/A Goal: Product: Format: Criteria This assessment task is designed to encourage you to engage carefully in all the tutorial and homework tasks in this course, which are essential if you are to learn, practise and understand the key concepts and techniques used in numerical analysis. It will also provide you with valuable feedback regarding your skills in mathematical communication. Written solutions to four sets of mathematical problems. Individual assignments. Hardcopy (paper) submission, directly to the course lecturer. Mathematical working is preferably to be hand-written. MATLAB programs to be printed in Courier New (size 10). Standard FoSHEE assignment coversheet, signed by the student. Each problem needs to be described clearly, numerical techniques described clearly, numerical work (hand-written working or MATLAB programs as required) submitted in a format that can be used and checked, and solutions submitted with critique on strengths and limitations of the numerical methods used. Each mathematical problem / task will be assessed based on the: Accuracy Clarity of mathematical reasoning Choice of mathematical method and approach Communication skills (layout, language, spelling, conciseness, general presentation) A detailed description of this assessment task will be provided on Blackboard. Generic skill assessed Problem solving Communication Applying technologies Skill assessment level Developing

4 Assessment Task 2: Mid-Semester Examination Page 4 Goal: The mid-semester exam encourages you to revise the course material and gives you an opportunity to assess your learning progress against the learning outcomes of this course. Product: Written exam Format: Individual. Mixed practical and theoretical written questions. To be run during the scheduled lecture class in week 7. Criteria You will be assessed on your ability to: recall the theoretical and practical components of the course materials covered in the lectures, tutorials and readings from all previous weeks apply the theory to particular examples decide which is the most appropriate method to solve a particular problem derive solutions to particular problems communicate the methods, reasoning and working by which solutions may be calculated Generic skill assessed Skill assessment level Problem solving Developing Communication Assessment Task 3: Final Examination Goal: Product: Format: Criteria Generic skill assessed Problem solving Communication The end of semester examination gives you an opportunity to demonstrate your knowledge, understanding and skills associated with all the course content and the learning outcomes of this course. Final Exam Individual. Mixed practical and theoretical written questions. You will be assessed on your ability to: recall the theoretical and practical components of the course materials covered in the lectures, tutorials and readings from weeks 1-13 apply the theory to particular examples decide which is the most appropriate method to solve a particular problem derive solutions to particular problems communicate the methods, reasoning and working by which solutions may be calculated Skill assessment level 5.3 Additional assessment requirements Eligibility for Supplementary Assessment Your eligibility for supplementary assessment in a course is dependent of the following conditions applying: a) The final mark is in the percentage range 47% to 49.4% b) The course is graded using the Standard Grading scale c) You have not failed an assessment task in the course due to academic misconduct

5 Page 5 Blackboard As a student enrolled in this course you will have access to course information on the Blackboard site. Students are strongly recommended to log onto the course site on a regular basis. All course announcements, course changes, posting of course materials and grades (via My Interim Results) will be accessed through Blackboard. It is your responsibility to ensure you have adequate internet access (either off campus or on-campus) in order to access Blackboard regularly and to complete required assessment tasks. Safe Assign In order to minimise incidents of plagiarism and collusion, this course may require that some of its assessment tasks are submitted electronically via Safe Assign. This software allows for text comparisons to be made between the students submitted assessment item and all other work that Safe Assign has access to. If required, details of how to submit via Safe Assign will be provided on the Blackboard site of the course. 5.4 Submission penalties Late submission of assessment tasks will be penalised at the following maximum rate: 5% (of the assessment task s identified value) per day for the first two days from the date identified as the due date for the assessment task. 10% (of the assessment task s identified value) for the third day 20% (of the assessment task s identified value) for the fourth day and subsequent days up to and including seven days from the date identified as the due date for the assessment task. A result of zero is awarded for an assessment task submitted after seven days from the date identified as the due date for the assessment task. Weekdays and weekends are included in the calculation of days late. To request an extension you must contact your course coordinator to negotiate an outcome. 6. How is the course offered? 6.1 Directed study hours PER WEEK: - 2 hours lectures - 2 hours tutorial (computer workshops) 6.2 Teaching semester/session(s) offered Sippy Downs: Semester 2

6 Page Course activities Teaching What key concepts/content will I Week / learn? Module 1 Introduction: History of N.A. The need for numerical computation Errors of computation Introduction to MATLAB What activities will I engage in to learn the concepts/content? Directed Study Activities Independent Study Activities 2h lecture, 2h tutorial Revision: - Read text and notes - Practice problems - Browse internet / videos - Homework problems NB: this is true for ALL weeks of the semester! 2 Taylor series 2h lecture, 2h tutorial Book sections 3 & 4 Solution of nonlinear equations Bisection Fixed-point iteration Newton s method Jacobian, Gauss-Seidel 5 & 6 Matrix mathematics and linear algebra: Gaussian elimination and Partial pivoting Matrix factorisation (Doolittle, Choleski) 2h lecture, 2h tutorial 2h lecture, 2h tutorial Book sections Book sections 7 Mid semester examination 2h tutorial Book sections 8 & 9 Interpolation (Revision of Taylor) Lagrange Divided differences Forward differences 2h lecture, 2h tutorial Book sections 10 & 11 Numerical Differentiation Numerical Integration: Trapezoidal (and Romberg) Simpsons (and Romberg) 12 & 13 ODEs and their solutions Euler, Taylor Modified Euler (RK2) 2h lecture, 2h tutorial 2h lecture, 2h tutorial Book sections Book sections Please note that the above schedule is a guide to course content and may be subject to variation. While every endeavour will be made to keep to the schedule, timing and treatment of material may vary, in order to accommodate student needs, availability of staff, resources, events of significance and extreme weather events.

7 Page 7 7. What resources do I need to undertake this course? 7.1 Prescribed text(s) Please note that you need to have regular access to the resource(s) listed below: Author Year Title Publisher Gerald & Wheatley ISBN: Edition: 07E03 Applied Numerical Analysis Addison Wesley 7.2 Required and recommended readings Lists of required and recommended readings may be found for this course on its Blackboard site. These materials/readings will assist you in preparing for tutorials and assignments, and will provide further information regarding particular aspects of your course. 7.3 Specific requirements N/A 7.4 Risk management There is minimal health and safety risk in this course. It is your responsibility to familiarise yourself with the Health and Safety policies and procedures applicable within campus areas. 8. How can I obtain help with my studies? In the first instance you should contact your tutor, then the Course Coordinator. Additional assistance is available to all students through Peer Advisors and Academic Skills Advisors. You can drop in or book an appointment. To book: Tel: or studentcentral@usc.edu.au 9. Links to relevant University policies and procedures For more information on Academic Learning & Teaching categories including: Assessment: Courses and Coursework Programs Review of Assessment and Final Grades Supplementary Assessment Administration of Central Examinations Deferred Examinations Student Academic Misconduct Students with a Disability

8 10. Faculty specific information Page 8 In person: Sippy Downs - Student Central, Ground Floor, Building C USC SouthBank - Student Central, Building B, Ground floor (level 1) USC Gympie - Student Central, 71 Cartwright Road, Gympie USC Fraser Coast - Student Central, Building A Tel: studentcentral@usc.edu.au