Year

MATH101-13S1 (C)Semester One 2013Methods of Mathematics

 15 points, 0.1250 EFTS18 Feb 2013 - 23 Jun 2013 ↓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 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:

• understand the rules of exponents
• be able to use basic algebra to simplify expressions and rearrange equations
• be able to solve both linear and non-linear equations
• understand the concept of a function, and recognise and use function notation and operations
• 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 Monday 4:00pm-5:00pm A1 Lecture Theatre 22 Apr - 2 Jun Tuesday 1:00pm-2:00pm A1 Lecture Theatre 22 Apr - 2 Jun Wednesday 8:00am-9:00am A1 Lecture Theatre 22 Apr - 2 Jun Thursday 2:00pm-3:00pm C1 Lecture Theatre 29 Apr - 2 Jun

 Tutorials Streams Day Time Where Notes Stream 01 Tuesday 3:00pm-3:30pm (Drop in Class) 18 Feb - 31 Mar,22 Apr - 2 Jun Friday 12:00pm-1:00pm C2 Lecture Theatre 25 Feb - 24 Mar,22 Apr - 2 Jun 4:00pm-5:00pm C2 Lecture Theatre 18 Feb - 24 Feb Stream 02 Tuesday 3:30pm-4:00pm (Drop in Class) 18 Feb - 31 Mar,22 Apr - 2 Jun Friday 3:00pm-4:00pm C3 Lecture Theatre 18 Feb - 24 Mar,29 Apr - 2 Jun 3:00pm-4:00pm E5 Lecture Theatre 22 Apr - 28 Apr Stream 03 Tuesday 4:00pm-4:30pm (Drop in Class) 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 04 Tuesday 4:30pm-5:00pm (Drop in Class) 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 05 Thursday 3:00pm-3:30pm (Drop in Class) 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 06 Thursday 3:30pm-4:00pm (Drop in Class) 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 07 Thursday 4:00pm-4:30pm (Drop in Class) 18 Feb - 31 Mar,22 Apr - 2 Jun Stream 08 Thursday 4:30pm-5:00pm (Drop in Class) 18 Feb - 31 Mar,22 Apr - 2 Jun

Assessment

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

Examination and Formal Tests

 Exam Tuesday 11 Jun 2013 2:30pm-5:00pm Test Wednesday 27 Mar 2013 6:30pm-8:00pm C1 Lecture Theatre , C2 Lecture Theatre , C3 Lecture Theatre