## 15 Points

Division of Health Engineering Computing & Science
School of Computing and Mathematical Sciences
Department of Mathematics and Statistics

### Staff

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#### Librarian(s)

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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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 Thursday 9 April to determine if they wish to change down to a lower level mathematics paper (MATHS165, MATHS168, ENGEN101) without any fees loss.

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### Paper Structure

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This is a lecture/tutorial-based paper with five contact hours per week -- four lectures and one tutorial per week.

Lectures will be recorded.

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### Learning Outcomes

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Students who successfully complete the paper should be able to:

• .

Understand the definition of derivative.

Differentiate elementary functions.

Apply the derivative to find maximum and minimum of functions.

Calculate the indefinite and definite integral of a function.

Apply methods of substitution and integration by parts and applications.

Use the logarithm and exponential function.

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

Apply tests for convergence.

Linked to the following assessments:
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### Assessment

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The internal assessment mark will consist of TWO Tests (each worth 16%) plus the total tutorial component (18%). Tests dates and times are:

Test 1: Tuesday 7 April. 6:15 - 7:45 pm, in L.G.03

Test 2: Tuesday 26 May, 6:15 - 7:45 pm, in L.G.03

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 SCMS Reception (G.1.21) the following day.

The D rule: 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%.

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.

A final overall grade of RP (Restricted pass) will NOT be accepted as a prerequisite for entry into any higher level Maths paper.

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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. 11x Assignments (best 9 out of 11 marks counted)
18
• Hand-in: Assignment Box (G Block)
2. Test 1
7 Apr 2020
6:00 PM
16
3. Test 2
26 May 2020
6:00 PM
16
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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### Required and Recommended Readings

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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 the bookshop at the university.
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The library has calculus textbooks by various authors.

Calculus by James Stewart (Highly recommended)

Thomas’ Calculus by George B. Thomas Jr. (Highly recommended)

Calculus and analytic geometry by George B. Thomas, Jr.

Calculus with analytic geometry by G.F. Simmons

Calculus with analytic geometry by Howard Anton

Calculus: single variable by Deborah Hughes-Hallett

Calculus by Ron Larson

Calculus by Frank Morgan

Calculus I and II by Jerrold E. Marsden

A first course in calculus by Serge Lang

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#### Other Resources

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Calculus gems by G.F. Simmons

The cartoon guide to calculus by Larry Gonick

How to think like a mathematician by Kevin Houston

How to study as a mathematics major by Lara Alcock

How to study by Ronald Fry

How to study by Allan Mundsack et al

The secrets of college success by Lynn Jacobs and Jeremy Hyman

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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 entered correctly.
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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,...).

### Linkages to Other Papers

More calculus is taught in MATHS201 Continuing calculus, which covers multivariable and vector calculus, and in MATHS301 Real and complex analysis. Calculus is applied in MATHS203 Differential equations and modelling, MATHS304 Computational mathematics, and MATHS303 Applied mathematics.

#### 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 14 credits of NCEA Level 3 Calculus including at least 11 credits from AS91577, AS91578 and AS91579; or equivalent.

#### Restriction(s)

Restricted papers: ENGEN184, ENGEN101, ENGEN102 and MATH101