Year

# MATH101-12S1 (C)Semester One 2012Methods of Mathematics

 15 points, 0.1250 EFTS20 Feb 2012 - 24 Jun 2012 ↓Other occurrences

## 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.

## Timetable

 Lectures Streams Day Time Where Notes Stream 01 Tuesday 1:00pm-2:00pm A1 Lecture Theatre 23 Apr - 3 Jun Wednesday 1:00pm-2:00pm A1 Lecture Theatre 30 Apr - 3 Jun Thursday 11:00am-12:00pm C1 Lecture Theatre 23 Apr - 3 Jun Friday 11:00am-12:00pm C1 Lecture Theatre 20 Feb - 1 Apr,23 Apr - 3 Jun

 Tutorials Streams Day Time Where Notes Stream 01 Thursday 10:00am-11:00am Erskine 111 27 Feb - 1 Apr,23 Apr - 3 Jun Stream 02 Monday 9:00am-10:00am Erskine 445 27 Feb - 1 Apr,23 Apr - 3 Jun Stream 03 Wednesday 11:00am-12:00pm Kirkwood KD07 27 Feb - 1 Apr,30 Apr - 3 Jun Stream 04 Monday 12:00pm-1:00pm Erskine 446 27 Feb - 1 Apr,23 Apr - 3 Jun Stream 05 Wednesday 5:00pm-6:00pm Erskine 446 27 Feb - 1 Apr,30 Apr - 3 Jun Stream 06 Monday 11:00am-12:00pm Erskine 445 27 Feb - 1 Apr,23 Apr - 3 Jun Stream 07 Monday 5:00pm-6:00pm Erskine 445 27 Feb - 1 Apr,23 Apr - 3 Jun Stream 08 Thursday 1:00pm-2:00pm Erskine 445 27 Feb - 1 Apr,23 Apr - 3 Jun

## Assessment

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

## Examination and Formal Tests

 Exam Thursday 14 Jun 2012 2:30pm-5:00pm Test Monday 30 Apr 2012 6:30pm-8:00pm C1 Lecture Theatre , C2 Lecture Theatre