MATHS 315 : Mathematical Logic
2020 Semester Two (1205) (15 POINTS)
Capabilities Developed in this Course
|Capability 1:||Disciplinary Knowledge and Practice|
|Capability 2:||Critical Thinking|
|Capability 3:||Solution Seeking|
|Capability 4:||Communication and Engagement|
|Capability 5:||Independence and Integrity|
- Be able to formalise arguments in sentential logic and predicate logic (Capability 1, 2, 3 and 5)
- Be able to use semantic methods in sentential and predicate logic (Capability 1, 2, 3 and 5)
- Be able to prove that formal systems have certain properties (Capability 1, 2, 3 and 5)
- Be able to find and work with derivations in formal systems (Capability 1, 2, 3 and 5)
- Demonstrate and apply soundness and adequacy of certain formal systems (Capability 1, 2, 3 and 5)
- Identify and describe applications of predicate logic (Capability 1, 2 and 5)
- Identify and describe which notions can and cannot be expressed in first-order arithmetic (Capability 1, 2 and 5)
- Use appropriate language, terminology and symbolic means to communicate proofs both informally and within formal systems (Capability 1 and 4)
|Final Exam||50%||Individual Coursework|
|Assessment Type||Learning Outcome Addressed|
To pass this course, a student must earn a score of at least 35% in the final exam
This course is a standard 15 point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.
For this course, you can expect 3 hours of lectures, a 1 hour tutorial, 3 hours of reading and thinking about the content and 3 hours of work on assignments and/or test preparation.
Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).
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If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.
If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page: https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.
This should be done as soon as possible and no later than seven days after the affected test or exam date.
During the course Class Representatives in each class can take feedback to the staff responsible for the course and staff-student consultative committees.
At the end of the course students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback.
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Student Charter and Responsibilities
The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter (https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html).
Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.
In this course you may be asked to submit your coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. The final decision on the completion mode for a test or examination, and remote invigilation arrangements where applicable, will be advised to students at least 10 days prior to the scheduled date of the assessment, or in the case of an examination when the examination timetable is published.