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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.
The whole-year occurrence of MATH101 is recommended for students who need more time to cover foundational mathematics skills. This course will cover the same content as the semester-long occurrence, but we will allow more time and support to practice foundational skills such as algebra, fractions and order of operations. Contact the course coordinator if you are not sure which course you should take. MATH101-21W is not available for distance study.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.
A student who successfully completes this course will:understand the rules of exponentsbe able to use basic algebra to simplify expressions and rearrange equationsbe able to solve both linear and non-linear equationsunderstand 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 rulesunderstand 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 problemsbe able to identify when an integral is an appropriate mathematical model, and to use it to solve appropriate real world problemshave the ability to express mathematics in written form to communicate mathematical ideas and solutions to problems
Students must attend one activity from each section.
Note: The timetable is currently being updated, but contact hours will consist of 2 Lectures, a 2-hour lab/tutorial and a 1-hour workshop per week.
Core Skills Modules 5%Weekly labs 30%Workshops 10%Test 15%Final Exam 40%Note: To pass the course you must:• obtain at least 50% overall; and • obtain at least 40% on the final exam; and • pass all five core skills modules (prerequisite content).
Barton, David , Cox, David;
Essential maths and stats : for higher education;
Croft, Tony , Davison, Robert;
Pearson/Education, 2010 (any edition).
Haeussler, Paul, and Wood, Introductory Mathematical Analysis, Pearson 2013.NCEA Level 2 and 3 textbooks are also a useful reference.
General information for students
Domestic fee $788.00
International fee $4,438.00
* 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.