MATH101-12S1 (C) Semester One 2012

Methods of Mathematics

15 points

Details:
Start Date: Monday, 20 February 2012
End Date: Sunday, 24 June 2012
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 2 March 2012
  • Without academic penalty (including no fee refund): Friday, 18 May 2012

Description

Introduction to calculus, trigonometry and algebra. Emphasis on setting up mathematical models of problems, solving them and interpreting the solutions. Applications to the physical, life and earth sciences as well as to commerce and the humanities.

MATH101 covers the basic ideas of functions and their graphs, trigonometry, limits, and calculus. We introduce the concept of a mathematical model and discuss setting up mathematical models to solve problems. Examples are drawn from the physical, life and earth sciences as well as commerce and the humanities. Skills are practised in lectures, weekly small-group tutorial sessions, and using online learning software.

Emphasis is placed on understanding through examples, and you will use the methods taught to study a variety of practical problems. In the process your algebra and calculus skills will improve, and you will gain insight into the usefulness of these techniques. The course aims to build your confidence and foster your enjoyment of mathematics.

MATH101 is for students who need some knowledge of mathematics to support other studies such as the earth and life sciences, and for students who wish to prepare for EMTH118 or MATH102. The recommended background for this course is NCEA Level 2 Mathematics or equivalent.

Learning Outcomes

  • A student who successfully completes this course will:

  • be able to use basic algebra correctly to solve equations, including those involving surds and rational expressions
  • understand the concept of a function, and recognise and use function notation
  • be able to identify, graph and interpret polynomial, exponential, logarithmic and trigonometric relationships in both mathematical and real world contexts using appropriate applications
  • be able to find the derivative and integral of polynomial, exponential, logarithmic, and trigonometric functions, including the use of product, quotient and chain rules
  • understand the relationship between the processes of integration and differentiation
  • be able to identify when a derivative is an appropriate mathematical model, and use it to solve optimisation problems
  • be able to identify when an integral is an appropriate mathematical model, and to use it to solve appropriate real world problems
  • understand the concept of a differential equation and use separation of variables to solve simple differential equations
  • have the ability to express mathematics in written form to communicate mathematical ideas and solutions to problems

Restrictions

MATH102, MATH103, MATH108, MATH109, MATH170, MATH171, MATH199, EMTH118, EMTH119, EMTH171. Students may not enrol concurrently with, or after obtaining a pass, in these courses.

Course Coordinator

Liz Ackerley

Course Administrator

Hilary Seddon

Lecturer

Phillipa Gourdie

Assessment

Assessment Due Date Percentage 
Internal Assessment - TBA 50%
Final Examination 50%

Course links

MATH101 homepage

Indicative Fees

Domestic fee $622.00

International fee $3,200.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH101 Occurrences

  • MATH101-12S1 (C) Semester One 2012
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