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  <UnitCode Applicant="Y" Label="Unit code" Student="Y">
    <Code>ECON60081</Code>
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  <UnitTitle Applicant="Y" Label="Unit title" Student="Y">
    <Title>Mathematical Methods in Economic Analysis</Title>
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    <Units>15</Units>
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    <Period>Semester 1</Period>
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    <Value>Postgraduate Taught</Value>
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    <Level>Level 6</Level>
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    <StaffMember>
      <Name>Horst Zank</Name>
      <Role>Unit coordinator</Role>
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        <LevelNumber>1</LevelNumber>
        <LevelName>FHEQ level (Framework for Higher Education Qualifications) ' Masters/Integrated Masters P4 ' </LevelName>
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      <MaxUnits>European Credit Transfer &amp; Accumulation System Rating :   7.5</MaxUnits>
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  <MarketingOverview Applicant="Y" Label="Marketing Course unit overview" Student="">
    <Content>&lt;div&gt;&lt;p style="text-align:justify"&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;&lt;span style="letter-spacing:-.15pt"&gt;The aims of this course are to: &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style="text-align:justify"&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;&lt;span style="letter-spacing:-.15pt"&gt;(i) provide students with some understanding of the most important mathematical techniques used in modern economics; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style="text-align:justify"&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;&lt;span style="letter-spacing:-.15pt"&gt;(ii) illustrate the use of these techniques by applying them to various well-known economic models; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style="text-align:justify"&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;&lt;span style="letter-spacing:-.15pt"&gt;(iii) complement the core postgraduate microeconomic and macroeconomic theory courses.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;p align="left"&gt;&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&amp;nbsp;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;/div&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;</Content>
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    <Content>&lt;p style="text-align:justify"&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;&lt;span style="letter-spacing:-.15pt"&gt;The aims of this course are to: &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style="text-align:justify"&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;&lt;span style="letter-spacing:-.15pt"&gt;(i) provide students with some understanding of the most important mathematical techniques used in modern economics; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style="text-align:justify"&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;&lt;span style="letter-spacing:-.15pt"&gt;(ii) illustrate the use of these techniques by applying them to various well-known economic models; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style="text-align:justify"&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;&lt;span style="letter-spacing:-.15pt"&gt;(iii) complement the core postgraduate microeconomic and macroeconomic theory courses.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;</Content>
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  <Aims Applicant="Y" Label="Aims" Student="Y">
    <Content>&lt;div&gt;	&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;span lang="EN-US" style="font-size: 10pt; font-family: &amp;quot;Arial&amp;quot;, &amp;quot;sans-serif&amp;quot;; letter-spacing: -0.15pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA; mso-bidi-font-weight: bold"&gt;&lt;font color="#000000"&gt;The aims of this course are to: &lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;span lang="EN-US" style="font-size: 10pt; font-family: &amp;quot;Arial&amp;quot;, &amp;quot;sans-serif&amp;quot;; letter-spacing: -0.15pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA; mso-bidi-font-weight: bold"&gt;&lt;font color="#000000"&gt;(i) provide students with some understanding of the most important mathematical techniques used in modern economics; &lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;span lang="EN-US" style="font-size: 10pt; font-family: &amp;quot;Arial&amp;quot;, &amp;quot;sans-serif&amp;quot;; letter-spacing: -0.15pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA; mso-bidi-font-weight: bold"&gt;&lt;font color="#000000"&gt;(ii) illustrate the use of these techniques by applying them to various well-known economic models; &lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;span lang="EN-US" style="font-size: 10pt; font-family: &amp;quot;Arial&amp;quot;, &amp;quot;sans-serif&amp;quot;; letter-spacing: -0.15pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA; mso-bidi-font-weight: bold"&gt;&lt;font color="#000000"&gt;(iii) complement the core postgraduate microeconomic and macroeconomic theory courses&lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;/div&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;</Content>
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  <LearningOutcomes Applicant="Y" Label="Learning outcomes" Student="Y">
    <Content>&lt;div&gt;	&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;span lang="EN-US" style="font-size: 10pt; font-family: &amp;quot;Arial&amp;quot;, &amp;quot;sans-serif&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"&gt;&lt;font color="#000000"&gt;At the end of this course students should be able to: &lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;span lang="EN-US" style="font-size: 10pt; font-family: &amp;quot;Arial&amp;quot;, &amp;quot;sans-serif&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"&gt;&lt;font color="#000000"&gt;(i) demonstrate a good understanding of static optimization techniques and dynamic systems applicable to economics; &lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;span lang="EN-US" style="font-size: 10pt; font-family: &amp;quot;Arial&amp;quot;, &amp;quot;sans-serif&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"&gt;&lt;font color="#000000"&gt;(ii) demonstrate the skills needed to understand theoretical models in economics.&lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;.&lt;/div&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;</Content>
  </LearningOutcomes>
  <Knowledge Applicant="Y" Label="Knowledge and understanding" Student="Y">
    <Content>&lt;table class="Table" style="border-collapse:collapse; border:undefined"&gt;	&lt;tbody&gt;		&lt;tr&gt;			&lt;td style="width:12.0cm; padding:0cm 5.4pt 0cm 5.4pt" valign="top" width="354"&gt;&lt;p&gt;&lt;span style="font-size:12pt"&gt;&lt;span style="font-family:&amp;quot;Times New Roman&amp;quot;,serif"&gt;&lt;span lang="EN-US" style="font-size:10.0pt"&gt;&lt;span style="font-family:&amp;quot;Arial&amp;quot;,sans-serif"&gt;You should have attended our pre-session maths course, or be familiar with its material (particularly uni- and multi-variate calculus, basic optimization theory, matrices and determinants) from your earlier training. Such material is a pre-requisite for ECON60081.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;/td&gt;		&lt;/tr&gt;	&lt;/tbody&gt;&lt;/table&gt;</Content>
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    <Content></Content>
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  <PracticalSkills Applicant="Y" Label="Practical skills" Student="Y">
    <Content></Content>
  </PracticalSkills>
  <TransferableSkills Applicant="Y" Label="Transferable skills and personal qualities" Student="Y">
    <Content></Content>
  </TransferableSkills>
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    <Skill>
      <SkillId></SkillId>
      <SkillDescription></SkillDescription>
    </Skill>
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    <Content>&lt;p&gt;The subject matter can be divided into 2 parts.&lt;/p&gt;&lt;p&gt;Part I: Linear Algebra, Sets, Preferences, Functions, Concavity, Static Optimization&lt;/p&gt;&lt;p&gt;Part II: Dynamic Systems and Dynamic Optimisation&lt;/p&gt;</Content>
  </Syllabus>
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    <Content>&lt;p&gt;Lectures and Exercise Classes.&lt;/p&gt;</Content>
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    <IntroText> </IntroText>
    <Method>
      <MethodId>0</MethodId>
      <MethodName>Other</MethodName>
      <MethodWeight>40%</MethodWeight>
    </Method>
    <Method>
      <MethodId>1</MethodId>
      <MethodName>Written exam</MethodName>
      <MethodWeight>60%</MethodWeight>
    </Method>
    <OtherDescription>&lt;div&gt;	Introduction to Quantitative Methods: 10%&lt;/div&gt;&lt;div&gt;	Interim Test 1: 15%&lt;/div&gt;&lt;div&gt;	Interim Test 2: 15%&lt;/div&gt;&lt;div&gt;	January exam: 60%&lt;/div&gt;</OtherDescription>
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  <FeedbackMethods Applicant="Y" Label="Feedback methods" Student="Y">
    <Content></Content>
  </FeedbackMethods>
  <RequirementsList Applicant="Y" Label="Pre/co-requisites" Student="Y">
    <Requirement>
      <UnitCode>ECON60901</UnitCode>
      <UnitTitle>Introduction to Quantitative Methods in Economics</UnitTitle>
      <RequirementType>Pre-Requisite</RequirementType>
      <Description>Compulsory</Description>
    </Requirement>
    <AdditionalRequirement>ECON60901 is a Co-Requisite for ECON60081</AdditionalRequirement>
  </RequirementsList>
  <AcademicPrograms Applicant="Y" Label="Academic programmes" Student="Y">
    <AcademicProgram>
      <Program>MSc Economics</Program>
      <Plan>MSc Economics</Plan>
      <Level>PGDT Taught Component</Level>
      <Requirement>Mandatory</Requirement>
    </AcademicProgram>
    <AcademicProgram>
      <Program>MSc Financial Economics</Program>
      <Plan>MSc Financial Economics</Plan>
      <Level>PGDT Taught Component</Level>
      <Requirement>Mandatory</Requirement>
    </AcademicProgram>
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    <Content>Y</Content>
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    <Content></Content>
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  <RecommendedReading Applicant="Y" Label="Recommended reading" Student="Y">
    <Content>&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;There is no single book that is referred to enough to warrant a recommendation for purchase; but the&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;highlighted texts are referred to in the lecture notes.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;H.S. Bierman and L. Fernandez, Game Theory with Economic Applications, Addison-Wesley, 1998.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;O.J. Blanchard and S. Fischer, Lectures on Macroeconomics, MIT, 1989.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;A.C. Chiang, Elements of Dynamic Optimisation, McGraw-Hill, 1992.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;H. Gravelle and R. Rees, Microeconomics, Longman, 1992.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial-BoldMT" size="2"&gt;&lt;font face="Arial-BoldMT" size="2"&gt;&lt;strong&gt;G.A. Jehle and P.J. Reny, Advanced Microeconomic Theory, Addison-Wesley, 2011&lt;/strong&gt;.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;D.Leonard and N. Van Long, Optimal Control Theory and Static Optimisation in Economics, CUP, 1992&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;L. Ljungqvist and T.J. Sargent, Recursive Macroeconomic Theory, MIT Press, 2000.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;P.J. Madden, Concavity and Optimisation in Microeconomics, Basil Blackwell, 1986.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;A. Mas-Colell, M. Whinston, J. Green, Microeconomic Theory, MIT Press, 1995.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;J.T. Sandefur, Discrete Dynamical Systems: Theory and Applications, Clarendon Press, 1990.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;R. Shone, Economic Dynamics, CUP, 1997.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;&lt;font face="ArialMT" size="2"&gt;N.L. Stokey and R.E. Lucas, Jr, Recursive Methods in Economic Dynamics, Harvard University Press, 1989.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/p&gt;&lt;p align="left"&gt;&lt;strong&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial-BoldMT" size="2"&gt;&lt;font face="Arial-BoldMT" size="2"&gt;K. Syds&amp;aelig;ter, P. Hammond, A. Seierstad, A. Str&amp;oslash;m: Further Mathematics for Economic Analysis, Prentice&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;&lt;p&gt;&lt;strong&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial" size="2"&gt;&lt;font face="Arial-BoldMT" size="2"&gt;&lt;font face="Arial-BoldMT" size="2"&gt;Hall, 2008.&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/font&gt;&lt;/strong&gt;&lt;/p&gt;&lt;div&gt;	&amp;nbsp;&lt;/div&gt;&lt;div&gt;	&amp;nbsp;&lt;/div&gt;&lt;div&gt;	&amp;nbsp;&lt;/div&gt;&lt;div&gt;	&amp;nbsp;&lt;/div&gt;</Content>
  </RecommendedReading>
  <StudyHours Applicant="Y" Label="Study hours" Student="Y">
    <IntroText> </IntroText>
    <ScheduledHours Applicant="Y" Label="Scheduled activity hours" Student="Y">
      <ActivityHours>
        <ActivityType>Lectures</ActivityType>
        <Hours>18</Hours>
      </ActivityHours>
      <ActivityHours>
        <ActivityType>Tutorials</ActivityType>
        <Hours>16</Hours>
      </ActivityHours>
    </ScheduledHours>
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        <ActivityType></ActivityType>
        <Hours>0</Hours>
      </ActivityHours>
    </PlacementHours>
    <TotalHours Applicant="Y" Label="Independent study hours" Student="Y">
      <Hours>116</Hours>
    </TotalHours>
  </StudyHours>
  <Notes Applicant="Y" Label="Additional notes" Student="Y">
    <Content>&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;</Content>
  </Notes>
</CourseUnit>
