ENGEN183-19B (HAM)

Linear Algebra and Statistics for Engineers

15 Points

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Division of Health Engineering Computing & Science
School of Computing and Mathematical Sciences
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)

: 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, 9 or 3 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.
    • For extensions starting with 3: dial +64 7 2620 + the last 3 digits of the extension e.g. 3123 = +64 7 262 0123.
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Paper Description

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The paper starts with a quick review of mathematics essential to engineers with particular emphasis on trigonometry and exponential functions. Complex numbers, which have wide application in electrical engineering will will also be introduced. The main emphasis of this paper however will be on providing a solid introduction to linear algebra; systems of linear equations, determinants, matrices and vectors, which are mathematical tools essential for engineers. The paper also includes an applied introduction to statistical thinking in a relevant engineering context. The paper is worth 15 points and will be delivered by a combinations of lectures, tutorials and workshops.

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Paper Structure

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There are four lecture hours timetabled per week. The Friday lecture hour will be used as a workshop with particular focus on applications and will have an assessment associated with it. Students should also attend one tutorial each week. The majority of the Lectures will be given by Dr Ian Hawthorn. Dr Paul Brown will teach the statistics topic.Tutorials and Workshops will be organised by Alista Fow.

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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Demonstrate Understanding

    Understand the mathematical concepts in the topics covered to a basic level

    Linked to the following assessments:
  • Solve Problems

    Demonstrate understanding by solving problems

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  • Recognise Engineering applications

    recognise how these ideas can be applied in an engineering context.

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  • Interpret data
    Explore and describe the distribution of data through summary statistics and graphical displays.
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  • Calculate Probabilities
    Calculate the probability of random events occurring under a variety of assumed conditions.
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  • Model data
    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 15% for a total of 30%

  • 5 September 6 - 8 pm
  • 3 October 6 - 8 pm

If a test is missed due to illness or other good reason, the lecturer must be notified as soon as practicable. Appropriate documentation (for example a medical certificate issued by a doctor) must be supplied. Should the reason be accepted an estimated grade for the missed work will be used. The estimated grade will be based on results in other assessments including the final examination and on the distribution of grades in the missed assessment.

A workshop grade worth 5%

  • There will be 12 workshops and the best 10 marks will be counted.
  • The best 10 out of 12 policy is intended to allow students to miss one or two workshops due to illness or other good reason without requiring us to process medical certificates. Where serious illness may cause a more prolonged absence, please consult the lecturer.

A tutorial component of 15%

  • There will be 11 tutorial based assignments of which only the best 9 marks will be counted. Assignments should be your own work and copying may lead to referral to the university disciplinary committee.
  • The best 9 out of 11 policy is intended to allow students to miss one or two assignments due to illness or other good reason without requiring us to process medical certificates. Where serious illness may cause a more prolonged absence, please consult the lecturer.

The FINAL EXAM worth 50%.

  • In order to pass this paper with an unrestricted grade (Grade C- or better) you must get an overall total of 50% or greater, and ALSO at least 40% in the final exam. If your overall grade is greater than 50% but you get less than 40% in the final examination you will be awarded the grade of RP (restricted pass) which cannot be used as a prerequisite.
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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. Test 1
5 Sep 2019
6:00 PM
15
2. Test 2
3 Oct 2019
6:00 PM
15
3. Best 9 of 11 Tutorial based assignments.
15
  • Hand-in: Assignment Box
4. Best 10 of 12 Workshop assessments.
5
  • Hand-in: In Workshop
5. 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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Engineering Mathematics, K. A. Stroud (with Dexter J. Booth), 7th Edition, Industrial Press, Inc
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Recommended Readings

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“Elementary Linear Algebra”, Applications Version, 11th Edition by Anton and Rorres, Wiley.

"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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A standard scientific calculator is needed for tests and examinations. Graphing and CAS calculators are not permitted.

Octave is a free (GPL ) implementation of MATLAB which we encourage students to download and play with. Matlab is specifically designed to carry out matrix calculations. Links for download can be found on Moodle.

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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The Moodle page for this paper is the main forum for notices and information about the course. The gradebook for this paper can be accessed through Moodle. It is your responsibility to check your marks are correctly entered.

Panopto (which records lectures for viewing online) has proved controversial across the University as it seems to result in a significant decline in attendance at lectures and poor pass rates. We will be trialling a new approach to the use of this tool. The lectures will be recorded, however to encourage attendance they will NOT be generally available on Moodle. Students who have missed lectures for good reason (for example due to illness or a clash) may ask the lecturer for access to recordings of the specific lectures that they have missed. Recordings of lectures will be made generally available in the weeks before tests and at the end of the semester in the study period before examinations.

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Workload

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Three lectures, one workshop 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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The Change of enrolment regulations 12 (2) states:

Where subjects provide for different levels of proficiency on first enrolment (eg Mathematics, languages), a student may apply to transfer, with a transfer of fees, from one paper to a closely related paper in the same subject up until the relevant deadline for withdrawal listed in section 13 of these regulations.

The deadline is the end of week six. This regulation is intended to allow us to correct errors in assessing a student's level of preparation. Under this regulation if you decide that you really were not prepared for this paper and it is not going to end well, you can switch your enrolment to the prerequisite paper MATHS165 before the end of week 6.

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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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