Mathematics with Calculus

Content

This course builds on the knowledge from the Level 2 mathematics course. The program will be individualized to meet the needs of the students and to enable students who gain the required Level 2 prerequisites during the year to start this course midyear. This is an academic course aimed at students who are likely to study mathematics at university level.

What skills will I learn?

The following topics will be available for study Algebra, Complex Arithmetic, Binomial & Logarithms, Co-ordinate Geometry, Trigonometry, Differentiation and Integration. This course requires that you purchase a NuLake Calculus workbook costing about $25.

Pre-requisites

The following Level 2 Achievement Standard units must be completed prior to commencement of the Level 3 Achievement Standards.

90284 Manipulate algebraic expressions

90285 Sketch and interpret non-linear graphs

90286 Find and use straight forward derivatives and integrals

90287 Solve problems using the co-ordinate geometry method

90291 Solve practical trigonometric problems

90292 Solve straight forward trigonometric equations

Students who have not completed these units and their corresponding assessments will be given an opportunity during this class to complete work which will enable them to master the skills and concepts needed prior to starting on the Level 3 units.

How is this course assessed?

By achievement standards internally and externally where appropriate.

Course Content

90635 Differentiate functions and use derivatives to solve problems (6 credits) External

90636 Integrate functions and use integrals to solve problems (6 credits) External

90637 Solve problems and equations involving trigonometric functions (4 credits) Internal

90638 Manipulate real and complex numbers and solve equations (5 credits) External

90639 Sketch graphs of conic sections and write equations (3 credits) External