Calculus and Linear Algebra 2
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Online and other materials
- 29 Jun 2020
- 26 Oct 2020
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Upon completion of this subject, students will be able to:
- identify and apply appropriate techniques of integration, such as integration by parts, substitution, and partial fractions, to a range of functions of one variable;
- identify and apply appropriate tests for convergence of a range of infinite series, and relate this concept to the power series expansion and approximation of smooth functions;
- relate the concept of implicit parametrisation to the loci of a range of plane curves as represented in either cartesian or polar coordinates, and apply this with integration to compute arc-length;
- identify and apply appropriate techniques to solve elementary differential equations of first or second order, placed in the context of specific mathematical models from physical and biological science; and
- compute determinants, eigenvalues and eigenvectors of matrices in terms of real, or more generally, complex numbers where necessary, and appreciate their significance in mathematical modelling.
- Topics will be available to enrolled students in the subjects Learning Management System site approximately one week prior to the commencement of the teaching period.
You must either have successfully completed the following subject(s) before starting this subject, or currently be enrolled in the following subject(s) in a prior study period; or enrol in the following subject(s) to study prior to this subject:
Please note that your enrolment in this subject is conditional on successful completion of these prerequisite subject(s). If you study the prerequisite subject(s) in the study period immediately prior to studying this subject, your result for the prerequisite subject(s) will not be finalised prior to the close of enrolment. In this situation, should you not complete your prerequisite subject(s) successfully you should not continue with your enrolment in this subject. If you are currently enrolled in the prerequisite subject(s) and believe you may not complete these all successfully, it is your responsibility to reschedule your study of this subject to give you time to re-attempt the prerequisite subject(s)
- EquipmentDetails - Headphones or speakers (required to listen to lectures and other media) Headset, including microphone (highly recommended) Webcam (may be required for participation in virtual classrooms and/or media presentations).
- SoftwareDetails - Please refer students to link for requirements: http://www.une.edu.au/current-students/support/it-services/hardware It is essential for students to have reliable internet access in order to participate in and complete your units, regardless of whether they contain an on campus attendance or intensive school component.
- TravelDetails - Travel may be required to attend the Final Examination for this subject.
- OtherDetails -
Textbook information is not available until approximately 8 weeks prior to the commencement of the Teaching period.
Students are expected to purchase prescribed material.
Textbook requirements may vary from one teaching period to the next.
In order to model complex systems such as electromagnetic oscillations or the spread of infectious diseases, scientists must apply advanced calculus techniques. This subject couples with the other Calculus and Linear Algebra subjects and teaches students important methods that can be applied across the natural and social sciences, but also provides a theoretical foundation that allows further study in mathematics.
Topics covered include linear mappings (determinant and eigenvectors); further techniques of integration and improper integrals; infinite series and Taylor series; parametric equations and implicit equations; and basic differential equations.
Assessment 1 to Assessment 9: Notes - Mathematical calculations and problem solving. Relates to Learning Outcomes 1, 2, 3, 4, 5. Final Examination: 2 hrs 15 mins. Notes - It is mandatory to pass this examination in order to pass this unit. To obtain a distinction in this unit, a student must obtain a distinction in the examination. Relates to Learning Outcomes 1, 2, 3, 4, 5 UNE manages supervised exams associated with your UNE subjects. Prior to census date, UNE releases exam timetables. They’ll email important exam information directly to your UNE email address.
- Assessment 1 (4%)
- Assessment 2 (4%)
- Assessment 3 (4%)
- Assessment 4 (5%)
- Assessment 5 (5%)
- Assessment 6 (5%)
- Assessment 7 (4%)
- Assessment 8 (5%)
- Assessment 9 (4%)
- Final Examination (60%)
Calculus Early Transcendentals
Elementary Linear Algebra: Applications Version
Anton, H. and Rorres, C.
Check the learning management system (LMS) of your university for textbook details.