FOUND007-19B (HAM)

Bridging Calculus

15 Points

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Pathways College
Te Huanui

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Paper Description

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The aim of this paper is to cover pure mathematics in preparation for first year university mathematics courses.

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Paper Structure

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Approximately three quarters (3/4) of the course comprises the calculus topics of differentiation, integration, and differential equations. Other topics to be studied are: basic algebra, functions, and co-ordinate geometry.

Calculus is part of a larger community called STEM which stands for ‘Science, Technology, Engineering and Mathematics.’ All students enrolled for the calculus paper automatically belong to the Pathways STEM Academy community and can expect to be involved in meetings, presentations, study groups and other mathematics-related activities or tasks.


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Learning Outcomes

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Students who successfully complete the course should be able to:

  • Demonstrate mathematical skills, concepts, and understanding, in the areas of algebra, co-ordinate geometry, trigonometry, and calculus.
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  • Apply these skills and concepts to familiar and unfamiliar problems arising in real and simulated situations.
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  • Demonstrate the ability to select and use appropriate mathematical techniques in problem-solving.
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  • Demonstrate the ability to reason logically and systematically.
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  • Demonstrate the ability to communicate mathematical ideas.
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Assessment

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This paper is internally assessed. There is no examination. It is extremely essential that you do all assessment components.

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Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 100:0. There is no final exam. The final exam makes up 0% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 100:0 or 0:0, whichever is more favourable for the student. The final exam makes up either 0% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. In-class task/quiz 1
17 Jul 2019
11:00 AM
10
  • Hand-in: In Tutorial
2. Assignment 1
2 Aug 2019
4:30 PM
10
  • Hand-in: Assignment Box
3. Test 1
14 Aug 2019
10:00 AM
20
  • Hand-in: In Lecture
4. In-class task/quiz 2
11 Sep 2019
11:00 AM
10
  • Hand-in: In Tutorial
5. Assignment 2
27 Sep 2019
4:30 PM
10
  • Hand-in: Assignment Box
6. Tutorials
5
  • Hand-in: In Tutorial
7. STEM/Moodle participation
5
  • In Class: In Workshop
8. Test 2
30
  • Hand-in: In Lecture
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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David Barton & Anna Cox (2013): Delta Mathematics (Third Edition):Longman; Auckland.

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Recommended Readings

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Robert Lakeland & Carl Nugent: Yr 13 Calculus workbook

David Nelson: The Penguin Dictionary of Mathematics

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Other Resources

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Scientific calculator, Ruler, Pen, Eraser, Refill and Graph paper.

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Online Support

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Moodle is used to support this paper.

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Workload

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Students will attend four hours of classes per week. Averaged over the semester, they should spend another six hours or more per week on exercises, assignments, and revising for tests.

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Linkages to Other Papers

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Course content and learning outcomes are related to research in Mathematics Education currently being undertaken by a Pathways College Senior tutor. Pathways College mathematics teachers\tutors also attend and contribute to the mathematics and statistics education research seminars in the university.

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Prerequisite(s)

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Restriction(s)

Restricted papers: CAFS004

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