MATH1231-1241-2021T2 PDF

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Course Outline

MATH1231 Mathematics 1B MATH1241 Higher Mathematics 1B

School of Mathematics and Statistics Faculty of Science

Term 2, 2021

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Contents 1.

Staff ...............................................................................................................................................................4

2.

Administrative matters ...................................................................................................................................4 Contacting the Student Services Office....................................................................................................... 4

3.

Course information ........................................................................................................................................5 Course summary ......................................................................................................................................... 5 Course aims ................................................................................................................................................ 5 Course learning outcomes (CLO)................................................................................................................ 5

4.

Learning and teaching activities ....................................................................................................................6 Lecture and Tutorial Schedule .................................................................................................................... 6 Classroom Tutorials..................................................................................................................................... 6 Online Tutorials ........................................................................................................................................... 6 Moodle ......................................................................................................................................................... 7 Mobius ......................................................................................................... Error! Bookmark not defined.

5.

Assessment ...................................................................................................................................................7 Overview...................................................................................................................................................... 7 Weightings .....................................................................................................................................................8 Online Tutorials............................................................................................................................................ 8 Weekly Online Tutorials ................................................................................................................................9 Lab Tests .......................................................................................................................................................9 Assignment .................................................................................................................................................. 9 End of Term Examination .......................................................................................................................... 10 Additional information for MATH1241 Higher Mathematics 1A................................................................. 10 Schedule of all assessments ..................................................................................................................... 10 Calculator Information ............................................................................................................................... 11

6.

Expectations of students .............................................................................................................................11 School Policies .......................................................................................................................................... 11 Academic integrity, referencing and plagiarism ........................................................................................ 12 University Statement on Plagiarism .......................................................................................................... 12 Detection of academic misconduct............................................................................................................ 13

7.

Readings and resources .............................................................................................................................13 Course Pack .............................................................................................................................................. 13 Textbook .................................................................................................................................................... 13

8.

Getting help outside tutorials........................................................................................................................13 Staff Consultations .................................................................................................................................... 13 Mathematics Drop-in Centre ..................................................................................................................... 14 Lab Consultants......................................................................................................................................... 14 Additional support for students.................................................................................................................. 14

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Applications for Special Consideration .........................................................................................................14 Important Notes ......................................................................................................................................... 15

10.

Algebra Syllabus and Lecture timetable (MATH1231/1241) ...................................................................16 Extra Algebra Topics for MATH1241......................................................................................................... 17 Problem Sets ............................................................................................................................................. 17 Theory in the Algebra Course ................................................................................................................... 17

11.

Calculus syllabus for MATH1231 Mathematics 1B..................................................................................18

12.

Calculus syllabus for MATH1241 Higher Mathematics 1B ......................................................................19 Problem Sets ............................................................................................................................................. 20

13.

Computing Information ............................................................................................................................20 Aims........................................................................................................................................................... 20 Computing lab ........................................................................................................................................... 21 Remote access to Maple ........................................................................................................................... 21 How to start ............................................................................................................................................... 21 Computing syllabus ................................................................................................................................... 21 Assessment ............................................................................................................................................... 22 Student-owned computers for Mathematics courses ................................................................................ 22 SOME GREEK CHARACTERS ................................................................................................................ 23

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1.

Staff

Roll

Name

Email

Office

Course Authority

A/Prof Jonathan Kress

[email protected]

RC-3073

MATH1231 Lecturers Algebra (A) Calculus (A) Algebra (B) Calculus (B)

Dr Daniel Mansfield Prof Jeya Jeyakumar Mr Sean Gardiner A/Prof Mark Holzer

[email protected] [email protected] [email protected] [email protected]

RC-4070 RC-2073 RC-5108 RC-4107

MATH1241 Lecturers Algebra (A) Calculus (A) Algebra (B) Calculus (B)

Dr Daniel Mansfield Dr Thong Quoc Le Gia Prof Jie Du Dr Alessandro Ottazzi

[email protected] [email protected] [email protected] [email protected]

RC-4070 RC-2084 RC-4113 RC-6103

Mobius contact

Dr Joshua Capel

[email protected]

RC-5107

Staff consultation times will be posted on Moodle and on the School of Mathematics and Statistics website on the Current Students > Undergraduate > Student Services > Help for Students page by the end of week 2.

2.

Administrative matters

Contacting the Student Services Office Please visit the School of Mathematics and Statistics website for a wide range of information on School Policies, Forms and Help for Students by visiting the “Student Services” page. For information on Courses, please go to “Current Student”, “Undergraduate and/or Postgraduate” “Courses Homepage” for information on all course offerings. The “Student Notice Board” can be located by going to the “Current Students” page; Notices are posted regularly for your information here. Please familiarise yourself with the information found in these locations. The School web page is found: http://www.maths.unsw.edu.au If you cannot find the answer to your queries on the web pages you are welcome to contact the Student Services Office directly. The First Year Advisor in the Student Services Office is Ms Hilda Cahya. All administrative enquiries concerning first year Mathematics courses should be sent to H Cahya, either: • By email to [email protected] • By phone: (02) 9385 7011 • Or in person to the Red Centre building, level 3, room 3072 Change of tutorials, due to timetable clashes or work commitments, permission to take class tests outside your scheduled tutorial, advice on course selection and other administrative matters are handled in the Student Services Office. Constructive comments on course improvement may also be emailed to the Director of First Year Mathematics, A/Prof Jonathan Kress. Should we need to contact you, we will use your official UNSW email address in the first instance. It is your responsibility to regularly check your university email account. Please state your student number in all emails to the Student Services Office.

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3.

Course information

Units of credit: 6 Pre-requisite(s): For MATH1231 a pass or better is required in MATH1131 or MATH1141. For MATH1241 a credit in MATH1131 or MATH1141 is required. Exclusions for MATH1231: MATH1031, MATH1241, MATH1251 and ECON1202 Exclusions for MATH1241: MATH1031, MATH1231, MATH1251and ECON1202 Teaching times and locations: see the central timetable web pages: Offered in: Terms 1, 2 and 3. Timetable for MATH1231: http://timetable.unsw.edu.au/2021/MATH1231.html Offered in: Term 1 and 2. Timetable for MATH1241: http://timetable.unsw.edu.au/2021/MATH1241.html

Course summary This course will provide you with a good working knowledge of Calculus and Linear Algebra, and show, through the lectures, how this mathematics can be applied in interdisciplinary contexts. Your skills in analytical critical thinking and problem solving will improve because of the illustrative examples used in lectures and because of the problem based tutorial classes. These mathematical problem solving skills, which are based on logical arguments and specific techniques, are generic problem solving skills that can be applied in multidisciplinary work. You will be encouraged to develop your communication skills through active participation in tutorials, and by writing clear, logical arguments when solving problems.

Course aims The aim of MATH1231/1241 is that by the time you finish the course you should understand the concepts and techniques covered by the syllabus and have developed skills in applying those concepts and techniques to the solution of appropriate problems. You should be able to use technology to aid your mathematical problem solving and communication of mathematical ideas. Successful completion of this course will enable you to understand the mathematics that you will meet in the later years of your program.

Course learning outcomes (CLO) At the successful completion of this course you (the student) should be able to: 1. State definitions and theorems in the syllabus and apply them to specific examples, 2. Apply the concepts and techniques of the syllabus to solve appropriate problems, 3. Use technology as an aid to solve appropriate problems and communicate mathematical ideas. 4. Communicate mathematical ideas effectively using correct terminology. 5. Apply ideas in the syllabus to unfamiliar contexts, 6. Recognise and create valid mathematical arguments. NB: In MATH1241 there will be greater emphasis on CLOs 5 and 6 than in MATH1231.

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4.

Learning and teaching activities

Lecture and Tutorial Schedule Note that some lectures and tutorials will be recorded and this may include student comments. Recorded lecturers and tutorials will be indicated on Moodle. Lectures and tutorials run in all weeks from 1 to 10, except for week 6 which will have no classes. In Term 2 2021 live lectures will be streamed online via Blackboard Collaborate. A link will be provided on Moodle. These lectures will also be recorded and available to watch at a later time, however, it is recommended that students attend the lectures live online. An alternative pre-recorded lecture option will also be available for MATH1231. MATH1231 Mathematics 1B For times and locations refer to central timetable: http://timetable.unsw.edu.au/2021/MATH1231.html MATH1241 Higher Mathematics 1B For times and locations refer to central timetable: http://timetable.unsw.edu.au/2021/MATH1241.html Note that in 2021, MATH1241 is only offered in term 1 and 2.

Classroom Tutorials Classroom Tutorials are offered in face-to-face (MATH1231 only) and online using Blackboard Collaborate, a virtual classroom system. A link to the virtual classroom where you will attend your tutorial will be provided on Moodle. A laptop with internet access is recommended. Students in MATH1231/1241 are enrolled in one weekly classroom tutorial for weeks 1 to 5 and 7 to 10. The classroom tutorial will offer both Algebra and Calculus tutorials in alternatively weeks with Algebra in weeks 1, 3, 5, 8 and 10 and Calculus in weeks 2, 4, 7 and 9. Attendance is compulsory for all classroom tutorials and a roll will be called at all tutorial classes. Selected tutorials will be recorded for students to review at a later time. The time of your Classroom Tutorial can be found on myUNSW. If a room is shown, the tutorial is face-toface, otherwise, it is online. Students can change their tutorial via myUNSW until the end of week 1. After that time, they can only change tutorials by contacting the Mathematics and Statistics student services (see page 4) with evidence of a timetable clash or work commitments. The time and location of your Classroom Tutorial can be found on myUNSW Handbook timetable (a link is also provided on page 5). The main reason for having Classroom Tutorials is to give you a chance to tackle and discuss problems which you find difficult or don’t fully understand, so it is important to try at least a selection of tutorial problems before attending your class so that you know the questions you would like to ask of your tutor. A schedule of suggested homework problems, to be attempted before your classroom tutorial, will be posted on Moodle. Classroom tutorials will cover Calculus in odd weeks and Algebra in even weeks.

Solving problems and writing mathematics clearly are two separate skills that need to be developed through practice. We recommend that you keep a workbook to practice writing solutions to mathematical problems.

Online Tutorials There is a weekly online tutorial due on Tuesday of the following week at 1pm for MATH1241 and 5pm for MATH1231. The first deadline would usually be on Tuesday of week 2. Each online tutorial will consist of 6 topics. One topic will consist of a short video or self-paced lesson and some corresponding exercises on

7 Mobius. There will be 6 Online Tutorial topics each week. These will be mostly algebra and calculus topics but most weeks will also have a Maple topic and there may be others topics. The online tutorials are an integral part of this course. They will help you stay up-to-date with the course content and will give you an alternative view on the course materials. Your best grade from 6 of the 9 Weekly Online Tutorials will be counted towards your final grade. There are also two Lab Tests as part of the Online Tutorials. These are described in the Assessment section below. Note: •

Your work on this must be your own work, but you are encouraged to discuss the methods required with other students.

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Each version of an online tutorial will be slightly different.

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Your best grade from 6 of the 9 weeks will be counted towards your final grade.

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Only a limited number of users can have simultaneous access to Mobius, so do NOT leave your on these to the last day when the server may be busy.

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No deadline extensions will be granted. You should attempt these tests with sufficient remaining time to allow for unplanned services interruptions.

work

Moodle Log in to Moodle to find announcements, general information, notes, lecture slide, classroom tutorial and homework problems and links to online tutorials and assessments. https://moodle.telt.unsw.edu.au

Mobius Online tutorials and online assessments in this course use a system called Mobius. Information on how to access and use Mobius is provided on Moodle.

5.

Assessment

Overview In Term 2 2021 all assessment will be conducted online, including Lab Tests and the End of Term Exam. The assessment structure of MATH1231 and MATH1241 may be quite different to high school and other courses that you are used to. It is designed so that students should expect to be close to passing the course before taking the final exam with pre-exam assessment focusing on basic skills and the exam focusing on more advanced skills. •

The Online Tutorials allow answers to be checked while working on them, they are available for an extended period and students can work together, seek help and use any resources they wish. Most students gain a perfect score in these.

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The Lab Tests allow unlimited practice of questions from the actual question bank before the test. Because of this, students should be ...