MATH101-12S1 (C)
Methods of Mathematics
This is a semester one course worth 15 points.
Course Information
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
Enquiries
Hilary Seddon
Room 444 Erskine Building
Phone Extension 7882