ENGEN183-18A (HAM)

Linear Algebra and Statistics for Engineers

15 Points

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Faculty of Computing and Mathematical Sciences
Rorohiko me ngā Pūtaiao Pāngarau
Department of Mathematics and Statistics

Staff

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Convenor(s)

Lecturer(s)

Administrator(s)

: rachael.foote@waikato.ac.nz

Placement Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

Librarian(s)

: cheryl.ward@waikato.ac.nz
: debby.dada@waikato.ac.nz

You can contact staff by:

  • Calling +64 7 838 4466 select option 1, then enter the extension.
  • Extensions starting with 4, 5 or 9 can also be direct dialled:
    • For extensions starting with 4: dial +64 7 838 extension.
    • For extensions starting with 5: dial +64 7 858 extension.
    • For extensions starting with 9: dial +64 7 837 extension.
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Paper Description

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The objectives of this paper are to give a solid understanding of introductory linear algebra and some topics in discrete mathematics, provide an applied introduction to statistical thinking in a relevant engineering context, teach techniques which can be applied to a diverse range of problems and prepare students for higher level mathematics papers. This paper is worth 15 points and will be delivered via formal lectures.

Students have until the sixth Friday from Monday 26 February to determine if they wish to change down to a less difficult or up to a more challenging Mathematics paper (subject to lecturer’s approval) without any fees loss. It is recommended such a change be done as soon as possible.

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Paper Structure

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Four hours of lectures and one 50-minute tutorial/lab per week.
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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Understand the underlying mathematical concepts in the topics listed below.
    • Understand the underlying mathematical concepts in the topics listed below.
    • Be able to intelligently and flexibly apply that understanding to a wide variety of problems including novel problems in previously unseen contexts.
    • Explore and describe the distribution of data through summary statistics and graphical displays.
    • Calculate the probability of random events occurring under a variety of assumed conditions.
    • Fit theoretical distributions to data, assess the suitability of these fits, and use this information to model relationships between variables and apply statistical inference in the context of comparative experiments.
    Linked to the following assessments:
  • Be able to intelligently and flexibly apply that understanding to a wide variety of problems including novel problems in previously unseen contexts.
    Linked to the following assessments:
  • Explore and describe the distribution of data through summary statistics and graphical displays.
    Linked to the following assessments:
  • Calculate the probability of random events occurring under a variety of assumed conditions.
    Linked to the following assessments:
  • Fit theoretical distributions to data, assess the suitability of these fits, and use this information to model relationships between variables and apply statistical inference in the context of comparative experiments.
    Linked to the following assessments:
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Assessment

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The assessment mark will consist of TWO Tests each worth 16% as follows:

Monday 9th April, 6.00–8.00pm (PWC & ELT.G.01)

Monday 28th May, 6.00–8.00pm (PWC & ELT.G.01)

PLUS two online Moodle quizzes worth a total of 4% as follows:

Quiz 1: Accessible at 8am on Monday 27 February and closes at 8am Monday 12 March (available on Moodle).

Quiz 2: Accessible at 8am Monday 12 March and closes at 8am Monday 26 March (available on Moodle).

the TOTAL tutorial component of 14% and the FINAL EXAM worth 50%.

There will be 11 assignments of which only the best 9 marks will be counted.

Please ensure you always take your ID CARD to tests – if you do not, your test script and mark will be with-held until you present this to the Maths & Stats Reception Office (G.3.19) the following day.

There will be NO test resits for this paper.

An UNRESTRICTED pass (i.e. C- or better) will only be awarded to students who achieve both a final overall mark of at least 50% and a final examination mark of at least 40%. A final overall grade of RP (Restricted pass) will not be accepted as a prerequisite for entry into any higher level Maths paper.

Calculators will NOT be permitted in Tests or the Final Examination.

COPYING of other students’ Assignments/Tests will receive zero (this will include all students involved) and be reported to the Disciplinary Committee.

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Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 50:50. There is no final exam. The final exam makes up 50% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 50:50 or 0:0, whichever is more favourable for the student. The final exam makes up either 50% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. Quiz 1 online
12 Mar 2018
8:00 AM
2
2. Quiz 2 online
26 Mar 2018
8:00 AM
2
3. Test 1
9 Apr 2018
6:00 PM
16
4. Test 2
28 May 2018
6:00 PM
16
5. 11x Tutorials (only the best 9 marks count)
14
6. Exam
50
Assessment Total:     100    
Failing to complete a compulsory assessment component of a paper will result in an IC grade
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Required and Recommended Readings

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Required Readings

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None.
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Recommended Readings

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“Elementary Linear Algebra”, 10th Edn by H. Anton, Wiley.

“A First Course in Linear Algebra”, 2nd Edn by D. Easdown, Pearson Education Australia.

"Engineering Statistics", 5th Edition by D.C. Montgomery, G.C. Runger and N.F. Hubele, Wiley Press (2011)

"Modern Engineering Mathematics", 5th Edition by Glyn James, Pearson (2015) (available as an e-book via the library).

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Other Resources

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Minitab 18 is commercial statistical software. The University of Waikato has a license allowing the use of the full product for non-commercial purposes free of charge at the university (in the R-block labs) and at home (see Moodle for download instructions) for any students or staff of the University. Note that once you leave the University, or if you want to use the software for commercial purposes, you need to purchase your own license from www.onthehub.com/minitab/.

CAST (Computer-Assisted Statistics Textbooks) provides many interactive displays to explain statistical concepts, as well as some practice exercises. Access or download from cast.massey.ac.nz .

NIST/Sematech Engineering handbook is a useful statistical reference by and for engineers. It is available at www.itl.nist.gov/div898/handbook/ .

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Online Support

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All information relating to this paper including your internal assessment marks will be posted on Moodle.
It is your responsibility to check your marks are correctly entered.
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Workload

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Four lectures and one tutorial per week. PLUS, you are expected to spend about another 5 hours per week doing work for the paper (reading, assignments, study,...)
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Linkages to Other Papers

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Prerequisite(s)

Prerequisite papers: Any one of MATHS165, MATHS166, MATH165, MATH166, at least a B- grade in CAFS004 or FOUND007, or 16 credits at Level 3 in NCEA Calculus; or equivalent.

Corequisite(s)

Equivalent(s)

Restriction(s)

Restricted papers: MATH102, MATHS102 and ENGG183

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