MTH1020 Semester 2(S2-01) 2019 PDF

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Unit Guide 

MTH1020 Analysis of change Semester 2, 2019  

We acknowledge and pay respects to the Traditional Owners and Elders - past, present and emerging - of the lands and waters on which Monash University operates.    Handbook link: http://monash.edu.au/pubs/2019handbooks/units/MTH1020.html  

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Table of contents Unit handbook information

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Synopsis

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Mode of delivery

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Workload requirements

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Unit relationships

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Prerequisites

4

Prohibitions

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Co-requisites

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Chief Examiner(s)

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Unit Coordinator(s)

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Lecturer(s)

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Academic overview Learning outcomes

5 5

Teaching approach

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Feedback to you

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Assessment summary

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Assessment requirements

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Assessment tasks

10

Examination(s)

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Returning assignments

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Resubmission of assignments

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Assignment submission Unit schedule Your feedback to us Previous student evaluations of this unit Unit resources

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Learning resources

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Required resources

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Recommended resources

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Technologyrequirements Other information

22 23

Policies

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Special Consideration

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Graduate Attributes Policy

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Student Charter

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Student Services

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Monash University Library

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Disability Support Services

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Plagiarism, cheating and collusion

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Extensions and penalties

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Faculty policy information

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Other unit information

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Unit handbook information Synopsis Properties of real and complex numbers; algebraic functions and common transcendental functions; modelling change using elementary functions; limits and continuity; rate of change, derivatives, local and global extrema; sums and integrals, anti-derivatives, calculus applications: optimisation, area and volume, introduction to differential equations; Vectors in two- and threedimensional space.

Mode of delivery Clayton (On-campus)

Workload requirements Three 1-hour lectures and one 2-hour applied class per week

Unit relationships 

Prerequisites MTH1010 or VCE Mathematical Methods units 3 and 4 with a study score of at least 25

Prohibitions ENG1090, ENG1091, ENG1005, MAT1841, MTH1055, MTH1030 and MTH1035. Note that MTH1020 can only be completed prior to MTH1030 or MTH1035 and students who have already completed one of these cannot enrol subsequently in MTH1020.

Co-requisites None

Chief Examiner(s) Dr Daniel Mathews

Unit Coordinator(s) Dr Daniel Mathews (Semester 1) Dr Brett Parker (Semester 2) 

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Lecturer(s) Name:DrBrettParker Campus:Clayton Phone:+61 3 990 54454 Email:[email protected]  

Academic overview Learning outcomes On completion of this unit students will be able to: 1. Demonstrate basic knowledge of complex numbers, including algebraic manipulations and their various representations; 2. Demonstrate basic knowledge of vectors in two and three-dimensional space, their properties, and geometric applications; 3. Calculate simple limits to describe continuity and behaviour of one-variable real functions near a point and at infinity; 4. Explain how differentiation and integration arise as limits of functions; 5. Calculate derivatives and integrals using a variety of methods; 6. Use calculus methods to analyse function characteristics such as local and global extrema, concavity and points of inflection; 7. Solve differential equations of the separable variables type; 8. Use calculus techniques to solve a variety of problems that can be modelled with functions or with first order differential equations; 9. Demonstrate proficiency in mathematical writing and communication.

Teaching approach There will be 5 contact hours per week: three hours of lectures,and one two-hour applied class (also known as a support class, or tutorial, starting in week 2). Students should also dedicate a significant amount of time outside of these contact hours to work on problem sets and exercises and review and understand the material. Lectures willincorporate variousactive learning activities, such asgroup discussion , andinlecturequizzes , with both individual and group tasks.These are important, as they make you think actively about the mathematical concepts being taught. Marks will be allocated for participation in these activities, and for correct answers in some quizzes. There will be no make-up opportunitiesfor in-lecture quizzes , however the grading scheme ensures that students who miss some classeswill still be able to get full marks for ongoing assessment without applying for any special consideration.

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This teaching approach is supported by research in mathematics education which confirms that students are more likely to learn mathematics when they participate in the learning process, rather than just seeing others do it. Lectures will alsousepre-prepared skeletal notes: MTH1020 Analysis of change - Lecture materials. These materials are availableon the unitwebsite. You are expectedto bring these notes to lectures. These notes contain gaps for you to complete. Not all gaps will be filled in during lectures soyou will need to complete some of these in your own time. Completed notes will be available on the unit website after lectures, to help you verify that your notes are accurate and complete. It is important that you keep up to date in reading the course materials. We also sometimes post assigned readings and supplementary material on the website. Lectures are recorded and available through Learning Capture, but recordings only include the audio from the lecturer's microphone, and the video from the computer screen, andunforeseen audio-visual problems may mean that not all lectures are fully and accurately recorded.Moreover, videos of everyone else doing active learning will not be useful forwatch, so some videos covering course materials will be posted on the course website.

Applied classes (also known as support classes or tutorials) enable you to master the theory discussed in lectures, by solving problems with your peers under the guidance of a tutor (also known as an applied class leader or teaching associate or TA). Problem sets will be available on the unit website before each applied class. During the applied class, you will discuss problems in small groups and write and critique each others' solutions. Solutions to selected exercises will be posted in the next week. You are required to attend applied classes and marks are allocated to participation . As with marks allocated to in-lecture activities, there will be no make-up opportunitiesfor Applied classmarks classmarks, however the grading scheme ensures that students who miss some applied classeswill still be able to get full marks for ongoing assessment without applying for any special consideration You should clarify any questions with your tutor. Applied classes start in week 1 of semester. (This means your first applied class might occur before your first lecture.)  Mathematics Learning Centre: Students can always receive one-on-one help and feedback from the Mathematics Learning Centre (MLC) which is located on the ground floor of 9 Rainforest Walk and open 11 AM to 2 PM Monday to Friday. The MLC is open in weeks 2 –12 every semester, and also during mid-semester breaks, SWOTVAC and the examination period. Priority is given to students in level-one units such as MTH1020 from 11 AM to 1 PM. Writing in mathematics: In this unit we pay great attention to how you write mathematics. The degree to which you will have to put an effort into improving your mathematics writing will depend on the habits you have developed so far. You will be given opportunities to improve your mathematics writing in lectures (by watching good practice) and in applied classes.

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Feedback to you The feedback you receive during university studies is probably quite different from what you received in school. The first big difference is the huge number of students undertaking each unit,which does not allow for the same one-on-one interaction as when you learn in small groups. Secondly, university students are adults and hence are expected to take responsibility for their own learning. You will still receive plenty of feedback on your progress – but you must look for it! In MTH1020, the following opportunities should help you get a sense of how you are doing: Diagnostic test: In the first week of semester, a diagnostic test will be held in all applied classes (tutorials). This short test is not for credit, but tests your mathematical background and allows you to identify and gaps or shortcomings in your existing mathematical knowledge. Active learning: These activities will be held during lectures. They give you a chance to think about mathematical questions, and participate and interact with your fellow students. They may involve online quizzes or other activities. You will be able to get instant feedback on your answers, compare your answers with those of other students and the lecturer, and improve your understanding. Marks are awarded towards your final grade for participation in these activities. Assignments: Always look through your marked assignments and read the comments given by your tutor either written on the assignment itself or in class to the whole group. Always ask if there is something that is not clear to you. All topics included in the assignments will be covered in the final exam, and therefore it is important that if you lost marks in a particular question that you find out why, to avoid making the same mistake again. Applied classes / Tutorials are the best place to get feedback from both the tutor and your peers. Take the weekly problem sets seriously, and clarify if you are unsure about anything. Many questions included in the problem sets are from previous exams and they will give you an idea of what is expected from you. Do not become overly reliant on being given solutions; solutions should only be a feedback tool, not a main resource. Marks are awarded for participation in applied classes. Quizzes: The unit website has informal quizzes on the topics in the unit. These quizzes are not for credit and do not count toward your final mark. They were introduced at student request, and give you instant feedback. You can repeat them as many times as you wish. You can take one each week, or use them for exam revision, or however you please. If there is something you do not understand, always clarify it with your tutor or lecturer. Consultation outside scheduled classes: Academic staff will hold regular office hours during the semester where students may ask questions about the material. The schedule of these hours will be posted on Moodle. Students who are unable to make thescheduled times may also contact their lecturer or unit coordinator to make other arrangements to meet.

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Previous exams and practice exams: Towards the end of the semester previous exams and/or practice examswill be put on the unit website. Work through the exam, and check through the solutions only after you finished your attempt. Remember that we are here to help you … but the first move is yours!

 Students who have attempted this unit previously must complete all assessment ttasks asks again. No marks can be carried across from a previous enrolment in the unit. Allocation to applied classes (tutorials): (tutorials):You should allocate yourself to an applied class (tutorial) through Allocate+ . In the first two weeks of classes, any timetable issues need to be resolved by making a request through the Allocate+ online help system at http://intranet.monash.edu.au /students/timetables/allocate/help/ The teaching staff cannot make changes to your allocation. After the second week, see the Reception Office of the School of Mathematical Sciences for any changes to your applied class allocation. It is your responsibility to be properly enrolled in the applied class you attend, as otherwise your semester marks may be misplaced. MTH1020 is not a distance learning unit. Active learning in lectures, participating in applied classes, taking midterm tests, assignment submission, getting help at office hours and the Mathematics Learning Centre, as well as many other aspects of the unit mean that students must be on campus on a regular basis. If you are away from campus for an extended period of time, it is likely you will miss critical parts of the unit and may receive a mark of zero on one or more of the continuous assessments. If you think you will be away for long periods, we recommend you explore your options, which might entail applying for intermission from your studies or withdrawing from the unit.

Assessment summary NOTE: From 1 July 2019, the duration of all exams is changing to combine reading and writing time. The new exam duration for this unit is 3 hours and 10 minutes. End of semester examination (3 hours): 60% (Hurdle) Continuous assessment: 40% (Hurdle) Hurdle requirement: To pass this unit a student must achieve at least 50% overall and at least 40% for both the end-of-semester examination and continuous assessment components. Assessment task

Value

Due date

Assignment 1

At most 10% (see details)

Tuesday of Week 3 at 3:00 PM

Assignment 2

at most 10% (see details)

Tuesday of Week 7 at 3:00 PM

Assignment 3

at most 10%(see details)

Tuesday of Week 11 at 3:00 PM

In-lecture activities

at most 18% (see details)

In lectures throughout semester.

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Assessment task

Value

Due date

Applied class participation

at most 12% (see details)

In applied classes throughout semester.

Final examination

60%

To be advised

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Assessment requirements Assessment tasks Assessment title: Assignment 1 Details of task: This assignment will be posted on the unit website at least two weeks before the due date. Instructions for submission are given in the assignment PDF. Note that your assignment may be due before your scheduled applied class in a given week. There are 60 marks available for continuous assessment, but you only need to get 40 out of these 60 to get full marks for continuing assessment.

Value: At most 10% (see details) Due date: Tuesday of Week 3 at 3:00 PM Estimated return date: In applied class in the subsequent week. Topic release date: At least two weeks before the due date. Presentation requirements: The assignments consist of mathematical problems which you will have to write up neatly and using correct mathematical symbols and English grammar. Assignments should be argued logically using correct mathematical notation, and presented neatly. Guidelines for writing in mathematics are provided in the unit lecture materials. Word limit: Not applicable. Individual assessment in group tasks: Not applicable. Hurdle requirements: You must achieve at least 40% in continuous assessment over the entire unit. So, of the 60 available continuousassessment marks, you must get at least 16. Additional information: You are encouraged to work with others, but you must write up your work entirely on your own. Criteria for marking: Your written work in assignments, tests, and in the final examination will be assessed using two basic criteria: the accuracy of the solution and logic followed to arrive at each solution; and the presentation of the solution, including the correct use of mathematical symbols and sentences linking the different steps. Answers must usually be fully justified. Answers alone may not be worth any marks. Assessment title: Assignment 2 Details of task: This assignment will be posted on the unit website at least two weeks before the due date. Instructions for submission are given in the assignment PDF. Note that your assignment may be due before your scheduled applied class in a given week. There are 60marks available for continuous assessment, but you only need to get 40 out of these 60 to get full marks for continuing assessment.

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Value: at most 10% (see details) Due date: Tuesday of Week 7 at 3:00 PM Estimated return date: In applied classes in the subsequent week. Topic release date: At least two weeks before the due date. Presentation requirements: See assignment 1. Word limit: Not applicable. Individual assessment in group tasks: Not applicable. Hurdle requirements: See assignment 1. Additional information: See assignment 1. Criteria for marking: See assignment 1. Assessment title: Assignment 3 Details of task: This assignment will be posted on the unit website at least two weeks before the due date. Instructions for submission are given in the assignment PDF. Note that your assignment may be due before your scheduled applied class in a given week. There are 60marks available for continuous assessment, but you only need to get 40 out of these 60 to get full marks for continuing assessment.

Value: at most 10%(see details) Due date: Tuesday of Week 11 at 3:00 PM Estimated return date: In applied classes in the subsequent week. Topic release date: At least two weeks before the due date. Presentation requirements: See assignment 1. Word limit: Not applicable. Individual assessment in group tasks: Not applicable. Hurdle requirements: See assignment 1. Additional information: See assignment 1. Criteria for marking: See assignment 1. Assessment title: In-lecture activities Details of task: Lectures will incorporate many active learning activities, such as in-lecturequizzes or group discussion and problem solving. These are important, as they make you think actively about the mathematical concepts being taught. Such activities will occur every lecture. Some marks may alsobeawarded for pre-lecture preparation activities. Most in-lecture activities will be short, and worth a fraction of a percent of your final grade, and no individual activity will be worth more than 2% of your final grade.

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There are 60marks available for continuous assessment, but you only need to get 40 out of these 60 to get full marks for continuing assessment. There will be no make-up opportunities for in-lecture activities, however this marking scheme ensures that you can still get full marks for continuing assessment even if you miss some in-lecture marks.

Value: at most 18% (see details) Due date: In lectures throughout semester. Estimated return date: In lectures throughout semester. Topic release date: Not applicable. Presentation requirements: Not applicable. Word limit: Not applicable. Individual assessment in group tasks: You are encouraged to discuss the questions with others in your lecture. In-lecture tests may include an individual component, and a group component, where you will be awarded some points for the correctness of your group's answers. Hurdle requirements: See assignment 1. Additional information: Active learning activities in lectures will req...