About this subject
On completion of this subject students should be able to achieve the following learning outcomes:
1. Explain the behaviour of non-linear functions
2. Describe the concept of a limit and the role that limits play in the definition and interpretation of continuity, the derivative and the integral
3. Identify the role of calculus in describing the relationship between a quantity and its rate of change
4. Use appropriate rules and methods to differentiate polynomial, rational, trigonometric, inverse trigonometric, exponential, and logarithmic functions
5. Use calculus-based methods to find extreme values and sketch graphs of functions
6. Explain the Fundamental Theorem of Calculus
7. Use appropriate rules and methods to integrate definite and indefinite integrals of polynomial, rational, trigonometric, inverse trigonometric, exponential, and logarithmic functions.
- Integration and the applications of calculus
This subject in calculus provides a solid foundation in the theory and applications of differential and integral calculus to a variety of real-world situations. The subject begins with some preliminary material that reviews the concept of a function and of basic problem-solving techniques and includes limits, differentiation, graph sketching, integration and inverse functions. Apart from imparting technical knowledge on rules of integration and differentiation, the subject requires students to solve conceptual problems, thus enhancing their understanding of the principles of calculus. The key aim of this subject is to make students understand, appreciate and finally enjoy and embrace calculus. Successful completion of Calculus will ensure that students have the necessary preparation and foundation for subsequent major studies in mathematics, in particular, Advanced Calculus. This subject is an essential part of the mathematics program and is specifically designed in consultation with education providers to meet the needs of teacher training. A key feature of this subject is the project based approach. Students are assigned projects. As each topic is taught, students are asked to apply their learning to the project and, as a part of their assessment, students are asked to submit their project report. Thus students will be able to apply the knowledge in a real life setting.
- Written class test. (30%)
- Oral presentation on problems. (20%)
- Final Exam (50%)
For textbook details check your university's handbook, website or learning management system (LMS).
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Part of a degree
To enrol in this subject you must be accepted into one of the following degrees:
- UND-MTE-GDI-2024 - Graduate Diploma of Mathematics Education
- UND-MTH-GCE-2024 - Graduate Certificate in Mathematics
No additional requirements
This is in the range of 10 to 12 hours of study each week.
Equivalent full time study load (EFTSL) is one way to calculate your study load. One (1.0) EFTSL is equivalent to a full-time study load for one year.
Find out more information on Commonwealth Loans to understand what this means to your eligibility for financial support.
Once you’ve completed this subject it can be credited towards one of the following courses