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MATH1722 Mathematics Foundations: Specialist | Unit Plan: Semester 2, 2016

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School of Mathematics and Statistics

MATH1722 MATHEMATICS FOUNDATIONS: SPECIALIST UNIT PLAN: SEMESTER 1, 2017 Proposed Lecture, Workshop and Test Schedule Week beginning 27 Feb 6 Mar 13 Mar

20 Mar 27 Mar

3 Apr

10 Apr 17 Apr 24 Apr 1 May

8 May 15 May 22 May

29 May 5 Jun 10 – 24 Jun

Week Topic 1 Revision – Algebra, Expanding, Factoring, Linear and quadratic equations 2 Revision – Functions, Limits, Differentiation, Exponential and logarithmic functions 3 L’Hopitals rule, Trigonometric functions – Review, Reciprocal trigonometric functions and properties, Derivatives of trigonometric functions 4 Class Test 1 (15 %) Absolute values and inequalities 5 Differentiation – Product, quotient and chain rule applied to trigonometric, exponential and logarithmic functions, Implicit differentiation, Logarithmic differentiation 6 Applications of the derivative – Critical points, Concavity, Curve sketching, Optimisation problems, Related rates problems 7 Integration – Definite and indefinite integrals, Integration by basic substitution Non-teaching study break 8 Class Test 2 (15 %) Applications of the integral – Areas, Averages 9 Matrices – Basic definition, Addition and scalar multiplication, Matrix multiplication, Identity matrix, Systems of linear equations, Row operations and echelon forms, Gauss-Jordan elimination 10 Matrices – Determinants, Inverses, Using inverses to solve systems of linear equations 11 3D Vectors – Review of 2D vectors and extension to 3D, Dot products, Components of a vector in arbitrary directions 12 Class Test 3 (15 %) 3D Vectors – Cross products, Applications of the cross product, Parametric equation of a line in space 13 Proof by mathematical induction Pre-examination study break End-of-semester examinations

MATH1722 Mathematics Foundations: Specialist | Unit Plan: Semester 2, 2016

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NOTE: This unit was previously known as MATH1712 Intermediate Mathematics Specialist, which was completely identical to MATH1722 Mathematics Foundations: Specialist. Class Sessions There are three hours of lectures and a one-hour workshop each week. Session Lecture Lecture Lecture Workshop Workshop Workshop Workshop Workshop

Time Monday 15:00 – 16:00

Location G41 Phys – Ross Lecture Theatre 243 – Clews Lecture Theatre Wednesday 16:00 – 17:00 G106 – Tattersall Lecture Theatre G108 – Wilsmore Lecture Theatre Thursday 15:00 – 16:00 G41 Phys – Ross Lecture Theatre 243 – Clews Lecture Theatre Monday 12:00 – 13:00 G.17 – Maths Lecture Room 1 Monday 13:00 – 14:00 G.17 – Maths Lecture Room 1 Wednesday 13:00 – 14:00 G.17 – Maths Lecture Room 1 Wednesday 15:00 – 16:00 G.17 – Maths Lecture Room 1 Thursday 12:00 – 13:00 G.17 – Maths Lecture Room 1

You are expected to attend ALL THREE of the lecture sessions and ONE of the workshop sessions, however attendance is not compulsory and your attendance will not be recorded. The workshop sessions will be supervised by tutors and form an important part of the mathematical learning process necessary for success in this unit. In each workshop session you will work on the provided workshop problems, under the guidance of the tutors, and are designed specifically to improve your understanding of the concepts introduced in lectures. Some workshop problems sheets will also include problems of an investigative nature that will introduce material not directly covered in the lectures. Such material is examinable and an understanding of it will be necessary in order to gain a high mark in this unit. In addition to the four hours spent each week in class, you should expect to spend at least the same amount of time outside class working on revision, exercises, test and examination preparation. Mathematics is best learnt by doing. Prerequisites A pre-requisite for enrolling in this unit is successful completion of either WACE Mathematics: Specialist 3A/3B or TEE Applicable Mathematics or MATH1721 Mathematics Foundations: Methods or MATH1711 Introductory Mathematics Specialist or MATH1045 Intermediate Calculus or MATH1038 Calculus and its Applications. If you do not have at least this level of background then you should consult your Allocated Course Advice Office immediately to find an alternative study plan. Textbook There is no set textbook for this unit, but the West Australian high school mathematics course of study textbooks by Alan J. Sadler may be helpful and are available in the UWA Library. Learning Management System (LMS) and Lecture Capture System (LCS)

MATH1722 Mathematics Foundations: Specialist | Unit Plan: Semester 2, 2016

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There is a website for this unit where various resource materials will be made available via the Learning Management System (LMS) at http://www.lms.uwa.edu.au. Once enrolled in the unit, you should have automatic access to it. It will be expected that you familiarise yourself with the lecture material before the lectures and workshops. During the workshops you are expected to work on problems from the worksheet problem set and will receive help from the tutors. The lectures will be recorded by the Lecture Capture System (LCS) and made available via the LMS. PLEASE NOTE: The LCS is run and maintained by the Centre for the Advancement of Teaching and Learning (CATL), NOT by the lecturer – the lecturer has NO CONTROL WHATSOEVER over the LCS system. The LCS system is completely automatic and begins recording from 2 minutes before to 2 minutes after the scheduled lecture time (for example, a one-hour 9 am lecture will be recorded from 8:58 am to 9:47 am). Only classes classified as lectures in the official timetable are recorded – tutorials and/or workshops are NOT recorded by the LCS. At the completion of a lecture, the recording is automatically sent to the processing servers and is then provided to students via the LCS block in the LMS, generally within 24 hours. CATL does not guarantee that access to the LCS will be uninterrupted – the LCS may be affected by outages, faults or delays. This may include (but is not limited to) technical difficulties with the computer components of the system. Therefore, recorded lectures are NOT a replacement for lecture attendance. If the LCS fails the lecture WILL NOT be repeated nor will the lecture be re-recorded. MyMathLab All students correctly enrolled in MATH1722 can use the Pearson Education online system “MyMathLab” via the LMS. The system can be be used for extra study beyond the Workshop materials, BUT IT WILL NOT BE USED FOR ASSESSMENTS. Initially you will need to test your preferred internet browser’s settings for compatibility with the MyMathLab system by clicking on the “MyMathLab Browser Check” link. Weekly homework problems will be set up – to see the homework problems you will need to click on the “MyMathLab Homework Problems” link, where you will be directed to a list of problems related to each week of the lecture and workshop material. If you click on a particular homework problem set you will see approximately 10 questions that you can try one by one in any order you like. The system is easy to use and you can make an unlimited number of attempts. Apart from that some questions will have a “Help Me Solve This” and a “View An Example” button which gives you hints and attempts to lead you through to the solution. Emails

MATH1722 Mathematics Foundations: Specialist | Unit Plan: Semester 2, 2016

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Important messages will be sent to the mailing list for for this unit and this list will use your Pheme email address. If you prefer to use your personal email account you should link it to your Pheme email account. The mailing list cannot directly use your personal email address. Calculators This unit complies with the Faculty of Engineering, Computing, and Mathematics policy that only calculators bearing an approval sticker will be permitted in tests and examinations. Programmable and graphics calculators are not eligible for approval. Please check http://www.ecm.uwa.edu.au/students/exams/calculators for details of approved calculators and where you can get an approval sticker. Assessment The assessment for this unit consists of three class tests and an examination. The class tests, which contributes 45 % to the overall assessment (15 % for each test), will be held during the first lecture session in the weeks shown in the schedule above. The class tests will be of 35 minutes duration and will commence at 5 minutes past the hour. If you arrive late, you WILL NOT be given extra time. The class tests can cover any material from week 1 up to the week prior to the class test. Sample tests (with answers) will be made available via the LMS. The marks for the class tests will be made available to you though the csmarks system, which may be accessed via https://secure.csse.uwa.edu.au/run/csmarks. Once the class tests have been marked, solutions will be provided via the LMS and the test papers will be handed back during the workshops of the following week. If you believe your mark is wrong you MUST show me your test paper AFTER you have collected it BY THE END OF THE WEEK so I can check the marking. If you do not collect your test paper during this time, you may then collect it from the School of Mathematics and Statistics reception in the Mathematics building, but you will then not be able to challenge your mark. The examination, which contributes 55 % to the overall assessment, will be held during the official examination period at the end of semester. The time and location of your final examination will be provided to you via studentConnect, NOT the lecturer. It will have two hours and ten minutes working time, and will cover material from the entire unit. General information about the final examination will be provided in week 13, and a copy of the final examination from the previous semester (with solutions) will be made available via the LMS. You do not necessarily have to pass the final examination to pass the unit. You may bring an approved calculator to the class tests and examination, and the formula sheet (available via the LMS) will be provided – no notes are permitted. Special Consideration If medical or other personal circumstances affect or prevent you from attending an assessment

MATH1722 Mathematics Foundations: Specialist | Unit Plan: Semester 2, 2016

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task, you may request special consideration from your Allocated Course Advice Office, NOT the lecturer. You will need to provide evidence to support of your request, and has to be done within three working days of the scheduled assessment task. If your request for special consideration is granted, then the Allocated Course Advice Office will notify the lecturer, who will then notify you concerning an alternative assessment arrangement. Failure to obtain special consideration will result in a zero mark for the missed assessment. Supplementary and Deferred Examinations Supplementary examinations in this unit are not available, except to students who fail with a mark of at least 45 % in what would otherwise have been the final semester of a bachelor’s course. Deferred examinations may be granted by your Allocated Course Advice Office. Unit Coordinator Unit Lecturer: Dr Thomas Stemler Room: Mathematics Building, Room 2.39 Room: Currently Eng. Building, Room 1.54A Phone: 6488 1359 Email: [email protected] You are welcome to talk to me about any questions relating to the lectures/workshop content during my designated consultation times, which are: Wednesday 11:00-13:00, Thursday 11:00-13:00. Thomas Stemler...