Holes Workbook Answers
Evangeline Mellon
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Having equipped with general solutions, You can start to learn more about Quantum fields in that spacetime. This will lead to Blackhole information Paradox. This paradox has been resolved up to some extent in AdS/CFT Correspondance. For understanding the quantum nature of Blackhole,
The most complete but rigorous text on black holes is "The Mathematical Theory of Black Holes" by Chandrasekhar. However, this one is terse and requires knowledge of advanced General Relativity.
Other texts include "A Relativist's Toolkit" by Eric Poisson which discusses the topic and the relevant mathematics in sufficient details and "Gravitation:Foundation and Frontiers" by Thanu Padmanabhan includes discussions on some crucial conceptual ideas on the subject that are usually not found elsewhere.
Apart from Carroll's text (mentioned in other lectures), there are nice lecture notes on the subject like Black Holes from A to Z by Andrew Strominger (direct Wayback Machine link) and Introductory lectures on Black Hole Thermodynamics by Ted Jacobson (if you are interested in the thermodynamics of BHs).
This course continues on from MATH1013. It emphasises an understanding of the fundamental results from calculus and linear algebra which both can be applied across a range of fields including the physical and biological sciences, engineering and information technologies, economics and commerce, and can also serve as a base for future mathematics courses. Many applications and connections with other fields will be discussed although not developed in detail.
Calculus - Integration and techniques of integration, including multiple and iterated integrals. Sequences and series. Functions of several variables - visualisation, continuity, partial derivatives, and directional derivatives. Lagrange multipliers.
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Course delivery and assessment in 2020 was adjusted due to the COVID-19 pandemic. Any information below that replaces what was published in the Class Summary for Semester 1, 2020 was approved by the Associate Dean Education (as is required after 10% commencement of a course). Where an activity or assessment is not referenced below, it remains unchanged.
Marks that are allocated during Semester are to be considered provisional until formalised by the College examiners meeting at the end of each Semester. If appropriate, some moderation of marks might be applied prior to final results being released.
We believe that discussing mathematics is one of the best ways to master the material. Students are expected to engage actively and respectfully in cooperative problem-solving during the workshops and laboratories. Students are strongly encouraged to attend lectures and ask questions!
There will be a weekly online quiz through the WebAssign platform, covering recent topics from the linear algebra and calculus topics. Students enrolled in the class will receive WebAssign account during O-Week and information will be posted on Wattle. The lowest two WebAssign scores will be dropped when calculating a student's overall WebAssign mark; note this does not include the Week 1 WebAssign quiz, which is associated with the first Laboratory, nor the special extra WebAssign quiz which will be associated with the second Laboratory. The date range for this task indicates the approximate due date for the first quiz, and the approximate return date for the last quiz. Further details can be found on the course Wattle site.
Weekly workshops led by demonstrators offer students a chance to work cooperatively on problems related to the class material. Workshop registration will be available on Wattle, and students should attend their scheduled workshop each week. Each workshop will also have a quiz based on questions recently assessed via WebAssign. The lowest two quiz scores will be dropped; this is intended to allow for students to miss a workshop or two due to illness or unavoidable conflicts. Please contact the lecturers about missing workshops only if you are unable to attend more than two workshops due to serious illness or family situation. If you miss your regular workshop in a particular week and would like to attend another, please introduce yourself to the demonstrator but be aware that your quiz mark may not be recorded.
Attending workshops is one of the most important class activities, as they represent one of the best opportunities to learn the material. Worksheets will be posted on Wattle by the Friday of the week preceding the workshop. The workshop worksheet is not handed in as an assignment; solutions are written in a workbook provided by you but the workbook is not submitted. Note that we will not be providing written solutions to workshop problems, so please take advantage of the workshops as the best opportunity to learn how to solve these problems.
The final exam will be a cumulative assessment of the material covered in the entire course, although the emphasis will be on material not yet assessed. To pass the course, students must score at least a 35% in each of the linear algebra and calculus portions of the exam. Students who earn a passing mark but do not meet these hurdles will be offered a supplementary exam. For a student who is offered a supplementary exam because of not meeting a hurdle, if the hurdles are passed on the supplementary exam then a grade of 50PS awarded; if not, an NCN grade is awarded.
Please check the ANU Examination Timetable once the end of semester exam timetable has been finalised, at -administration/assessments-exams/examination-timetable to confirm the date, time and location of the final exam.
The mid-semester exam will evaluate students' understanding of course material covered in the first half of the class. The precise extent of assessable material will be announced on Wattle once the mid-semester exam is scheduled. Taking the mid-semester exam is a hurdle requirement for the course, unless specifically arranged otherwise. Students who do not take the mid-semester examination will receive an NCN in the class.
Please check the ANU Examination Timetable once the mid-semester exam timetable has been finalised, at -administration/assessments-exams/examination-timetable to confirm the date, time and location of the mid-semester exam.
Each Laboratory will have two components: (1) an online module which must be completed before attending the in-person meeting; and (2) a mandatory session where students will work cooperatively on problems related to the topics introduced in the online module. Laboratory sessions will be scheduled at several times during the semester, and there will be at least two scheduling options for each session. Information will be posted on Wattle by the beginning of the semester, with the first Laboratory scheduled for Week 2. The online module for the first Laboratory will include a WebAssign quiz due at the end of Week 1.
Academic integrity is a core part of the ANU culture as a community of scholars. At its heart, academic integrity is about behaving ethically, committing to honest and responsible scholarly practice and upholding these values with respect and fairness.
The ANU commits to assisting all members of our community to understand how to engage in academic work in ways that are consistent with, and actively support academic integrity. The ANU expects staff and students to be familiar with the academic integrity principle and Academic Misconduct Rule, uphold high standards of academic integrity and act ethically and honestly, to ensure the quality and value of the qualification that you will graduate with.
The Academic Misconduct Rule is in place to promote academic integrity and manage academic misconduct. Very minor breaches of the academic integrity principle may result in a reduction of marks of up to 10% of the total marks available for the assessment. The ANU offers a number of online and in person services to assist students with their assignments, examinations, and other learning activities. Visit the Academic Skills website for more information about academic integrity, your responsibilities and for assistance with your assignments, writing skills and study.
You will be required to electronically sign a declaration as part of the submission of any assignment (note: this is not required for WebAssign quizzes, and no other homework assignments are planned for MATH1014 in Semester 1, 2020). If an assignment submission is required, please keep a copy of the assignment for your records. Unless an exemption has been approved by the Associate Dean (Education) submission must be through Turnitin.
For some forms of assessment (hand written assignments, art works, laboratory notes, etc.) hard copy submission is appropriate when approved by the Associate Dean (Education). Hard copy submissions must utilise the Assignment Cover Sheet. Please keep a copy of tasks completed for your records.
WebAssign quizzes offer immediate feedback in the form of correct answers, and sample solutions for some of the questions are available after the submission date. Marked workshop quizzes will be available at the following week's workshop. Each student is responsible for checking that their marks are entered correctly on Wattle; written records of the marks should be saved until they have been confirmed on Wattle. Any discrepancies should be reported a timely manner and no later than the end of Week 12.
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