## 15 Points

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

### Staff

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#### Lecturer(s)

: rachael.foote@waikato.ac.nz

#### Librarian(s)

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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To give students in mathematics, or in subjects that use mathematical methods, a comprehensive foundation in differential and integral calculus, and examples of its applications.

Students have until the sixth Friday from Monday 26 February to determine if they wish to change down to a less difficult Mathematics paper without any fees loss.

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### Paper Structure

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Four lectures and one 50-minute tutorial per week.
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### Learning Outcomes

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Students who successfully complete the course should be able to:

• .

Understand the definition of derivative.

Differentiate elementary functions.

Apply the derivative to maximum and minimum of functions.

Calculate the indefinite and definite integral of a function.

Methods of substitution and integration by parts and applications.

The logarithm and exponential function.

Classify and solve Elementary Differential equations.

Gain an appreciation of the technical difficulties involved in defining derivatives and integrals.

Understand the completeness property of the real numbers and its consequences.

Understand limits of sequences, series and functions and be able to apply those definitions.

Be able to apply tests for convergence.

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### Assessment

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The internal assessment mark will consist of TWO Tests (each worth 20%) plus the total tutorial component (10%). Tests will be in the evening in lecture theatres to be advised later.

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

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 an 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.

#### 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. 10x Assignments (best 8 out of 10 marks counted)
10
• Hand-in: Assignment Box (G Block)
2. Test 1: Thurs 05 April 6-8pm﻿
5 Apr 2018
6:00 PM
20
3. Test 2: Thurs 24 May 6-8pm
24 May 2018
6:00 PM
20
4. 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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Schaum’s Outlines ‘Calculus’ (6th Edn), Ayres & Mendelson, McGraw-Hill. (Soft cover).

Assignments will be set from this textbook so you will need to purchase a copy from Bennetts Bookshop at the University.

### Online Support

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All information relating to this paper including your internal assessment marks will be posted on Moodle.
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Four lectures and one tutorial per week. Plus you are expected to spend another 5 hours per week doing work for the paper (reading, assignments, study,...).

#### Prerequisite(s)

Prerequisite papers: At least a B- grade in MATHS165, MATH165, MATHS166, MATH166, FOUND007 or CAFS004; or a pass in MATHS102 or MATH102; or 16 credits of NCEA Level 3 Calculus including at least 11 credits from AS91577, AS91578 and AS91579; or equivalent.

#### Restriction(s)

Restricted papers: ENGEN184, ENGG184 and MATH101