Course overview
- Study period
- Semester 1, 2025 (24/02/2025 - 21/06/2025)
- Study level
- Undergraduate
- Location
- St Lucia
- Attendance mode
- In Person
- Units
- 2
- Administrative campus
- St Lucia
- Coordinating unit
- Mathematics & Physics School
Analytical functions. Cauchy-Riemann equations. Complex mappings. Cauchy's integral formulas. Morera's, Liouville's and Rouche's theorems.
Taylor and Laurent series. Analytic continuation, residues and applications to integration. Boundary-value problems.
This course is an introduction to the theory of functions of one complex variable. In particular, it will explore the consequences of differentiability on an open connected set, and demonstrate some of the applications. Specific topics include: Complex Numbers, Elementary Functions, Mapping by Elementary Functions, Analytic Functions, Integration, Conformal Mapping, Boundary Value Problems, Poisson Integral Formula, Power Series and Integration using Residues.
The course webpage is located at http://www.maths.uq.edu.au/courses/MATH3401
Students are expected to check this page, the Blackboard page and the associated links frequently,ﾠ meaning at least a couple of times a week.
In the School of Mathematics and Physics we are committed to creating an inclusive and empowering learning environment for all students. We value and respect the diverse range of experiences our students bring to their education, and we believe that this diversity is crucial for fostering a rich culture of knowledge sharing and meaningful exploration. We hold both students and staff accountable for actively contributing to the establishment of a respectful and supportive learning environment.
Bullying, harassment, and discrimination in any form are strictly against our principles and against UQ Policy, and will not be tolerated. We have developed a suite of resources to assist you in recognising, reporting, and addressing such behaviour. If you have any concerns about your experience in this course, we encourage you to tell a member of the course teaching team, or alternatively contact an SMP Classroom Inclusivity Champion (see Blackboard for contact details). Our Inclusivity Champions are here to listen, to understand your concerns, and to explore potential actions that can be taken to resolve them. Your well-being and a positive learning atmosphere are of utmost importance to us.
Course requirements
Assumed background
Students are assumed to know the definition and basic properties of complex numbers and to be able to perform simple algebraic manipulations with them. Students are assumed to have undertaken introductory courses in Calculus and Multivariate Calculus (such as MATH1071/MATH1051, MATH1072/MATH1052 and MATH2001/MATH2901/MATH2000) and in real analysis (such as MATH2401/MATH2400).
Prerequisites
You'll need to complete the following courses before enrolling in this one:
(MATH2400 or MATH2401) + (MATH1052 or MATH1072)
Recommended prerequisites
We recommend completing the following courses before enrolling in this one:
MATH2000 or MATH2001
Incompatible
You can't enrol in this course if you've already completed the following:
MATH3901 (advanced version) and MATH7431 (co-taught, last offered 2022)
Jointly taught details
This course is jointly-taught with:
MATH3901: shared lectures, exams, assignments (some different questions on assignment 4)
Course contact
Course staff
Lecturer
Timetable
The timetable for this course is available on the UQ Public Timetable.
Additional timetable information
Lecture recording will be posted (3 hrs/week).ﾠ Consult your personal timetable for lecture and practical times and locations. Students are strongly encouraged to attend lectures and practicals in personﾠ unless they have a valid reason for being unable to attend (such as illness). Alternative arrangements will be advised on Blackboard should the campus be closed for any reason.ﾠ
The in-semester exam will be formative, not summative (i.e., it will be marked and feedback provided, but it will not count towards your final course mark). As such it is not mandatory, but is nevertheless highly recommended.
Note that Practicals do not commence until week 2.
Note that there are 37 lectures in this course. There are no lectures on Friday 18 April (Good Friday) or Monday 5ﾠ May (Labour Day Public Holiday).
Aims and outcomes
The aim of this course is to provide students with an introduction to the tools and techniques of complex analysis. In addition to providingﾠa solid basis for students using these techniques in applications and further study in modern mathematics, the course also emphasisesﾠhow complex analysis draws from and contributes to areas of engineering, physics, applied mathematics, topology and algebra as well as analysis.ﾠ
Learning outcomes
After successfully completing this course you should be able to:
LO1.
define a number of elementary functions on complex variables, know identities relating elementary functions, and be able to define and use limits, continuity, and derivatives in the context of functions of complex variables;
LO2.
work with analytic and entire functions, and determine domains of analyticity of certain functions;
LO3.
describe mappings by certain functions of complex variables, analytically, computationally and/or graphically as required;
LO4.
define and evaluate certain contour integrals and antiderivatives;
LO5.
clearly define and use the following: the Cauchy-Riemann equations and associated theorems, the Cauchy-Goursat theorem, the Cauchy integral formula and related theorems, Moreras theorem, Liouvilles theorem, Rouches theorem, the Fundamental Theorem of Algebra, Taylor series, Laurent series, and the residue theorem;
LO6.
solve certain boundary value problems by conformal mapping and by applying integral formulae;
LO7.
determine whether certain power series converge, and perform certain analytic and algebraic manipulations with power series;
LO8.
provide proofs of results close to those covered in class, with an appropriate level of detail and rigour.
Assessment
Assessment summary
| Category | Assessment task | Weight | Due date |
|---|---|---|---|
| Tutorial/ Problem Set | Assignments | 40% Assignments are equally weighted |
Assignment 1 21/03/2025 10:00 am Assignment 2 4/04/2025 10:00 am Assignment 3 2/05/2025 10:00 am Assignment 4 23/05/2025 10:00 am
Note that due dates for Assignments 1 and 2 have been extended by 1 week from originally published dates due to cancellation of classes. Assignment 3 and 4 submission dates remain unchanged. |
| Examination |
In-semester exam
|
(Formative) |
14/04/2025 10:05 am
Note that date changed from originally published date of 10 April due to cancellation of classes in weeks 2-3. |
| Examination |
Final Exam
|
60% |
End of Semester Exam Period 7/06/2025 - 21/06/2025 |
A hurdle is an assessment requirement that must be satisfied in order to receive a specific grade for the course. Check the assessment details for more information about hurdle requirements.
Assessment details
Assignments
- Mode
- Written
- Category
- Tutorial/ Problem Set
- Weight
- 40% Assignments are equally weighted
- Due date
Assignment 1 21/03/2025 10:00 am
Assignment 2 4/04/2025 10:00 am
Assignment 3 2/05/2025 10:00 am
Assignment 4 23/05/2025 10:00 am
Note that due dates for Assignments 1 and 2 have been extended by 1 week from originally published dates due to cancellation of classes. Assignment 3 and 4 submission dates remain unchanged.
- Learning outcomes
- L01, L02, L03, L04, L05, L06, L07, L08
Task description
Each assignment will comprise roughly 4 to 8 problems on course material recently covered.
Assignments will contribute equally to the total of 40% of your final mark.
Assignments are to be submitted electronically via Blackboard by 10:00 AM, on the following dates:
Friday 14/03, Friday 28/03, Friday 02/05, Friday 23/05.
Model solutions will be posted on the course web-page, and solutions will be discussed in your practicals.
Submission guidelines
Submission via Blackboard by 10AM each day on which assignments are due.
You can email smp.student@uq.edu.au, including your name, student number, course code, with any problems in submitting your assignment.
Deferral or extension
You may be able to apply for an extension.
Extensions are possible if applied for in a timely fashion through the UQ procedure and subsequently approved, but only up to 72 hours, as solutions will be published and discussed in practicals.
Late submission
A penalty of 10% of the maximum possible mark will be deducted per 24 hours from time submission is due for up to 7 days. After 7 days, you will receive a mark of 0.
Late submission: 10% of the maximum marks available will be deducted for each day or part thereof for up to 3 days (72 hours) after submission deadline. Late submissions will not be possible after that, as solutions will be published and discussed in practicals.
In-semester exam
- Online
- Mode
- Written
- Category
- Examination
- Weight
- (Formative)
- Due date
14/04/2025 10:05 am
Note that date changed from originally published date of 10 April due to cancellation of classes in weeks 2-3.
- Other conditions
- Time limited.
- Learning outcomes
- L01, L02, L03, L08
Task description
All material covered in the first 17 lectures and in tutorials from weeks 2-5 will be examinable, unless explicitly noted in the lectures (some more advanced topics and extension material will be excluded).
The exam will be a non-invigilated Blackboard exam.The exam will be in the form of a pdf file you can download from Blackboard. You can print the exam and write on the exam paper, or write your answers on blank paper, or write electronically on a suitable device. You will then scan or photograph your work if necessary and upload your answers as a single pdf file. The examination is designed for completion in a 50 minutes period but you will have 65 minutes to complete the examination to allow for extra time to print, and to scan and upload files. The exam will commence at 1 PM, and conclude at 2:05 PM. The exam is scheduled for the lecture slot on 10 April, but you should arrange a suitable location yourself with access to computer/printer/scanner as required to sit your exam.
Students will be permitted one page (single sided) of hand-written notes for thein-semester exam. These notes must be hand-written by the student, and signed by the student. No printed matter, mechanical or electronic copies or notes written by others will be permitted.
Hand-held calculators will be allowed on the in-semester exam, but they will be restricted to the Casio FX82 series, or University approved (i.e., labelled). See myUQ https://my.uq.edu.au/services/manage-my-program/exams-and-assessment/sitting-exam/approved-calculators for more information.
Exam details
| Planning time | no planning time minutes |
|---|---|
| Duration | 50 minutes |
| Calculator options | (Online) Casio FX82 series only or UQ approved calculator |
| Open/closed book | Closed Book examination - specified written materials permitted |
| Materials | One A4 sheet of handwritten notes , single sided, is permitted |
| Exam platform | Other |
| Invigilation | Not invigilated |
Submission guidelines
Instructions for uploading exam file will be provided on Blackboard.
Deferral or extension
You may be able to defer this exam.
As this is formative assessment, students unable to sit on the day will be able to submit via email. Details will be provided on Blackboard.
Late submission
10% of maximum marks per minute, noting that this is formative assessment.
Final Exam
- Hurdle
- Identity Verified
- In-person
- Mode
- Written
- Category
- Examination
- Weight
- 60%
- Due date
End of Semester Exam Period
7/06/2025 - 21/06/2025
- Other conditions
- Time limited.
- Learning outcomes
- L01, L02, L03, L04, L05, L06, L07, L08
Task description
The final exam will be a two-hour invigilated exam, with 10 minutes reading time.
The final exam will be comprehensive, with all material covered in the lectures and practicals from the whole semester being examinable, unless explicitly noted in the lectures (some more advanced topics and extension material will be excluded).
Students will be permitted one page (double sided) of hand-written notes for the final exam. These notes must be hand-written by the student, and signed by the student. No printed matter, mechanical or electronic copies or notes written by others will be permitted.
Hand-held calculators will be allowed on the final exam, but they will be restricted to the Casio FX82 series, or University approved (i.e., labelled). See http://www.uq.edu.au/myadvisor/exam-calculators for more information.
Hurdle requirements
40% required on the final exam to pass the course. 35% required on the final exam (as well as 45% overall) to be eligible for a 3, and hence potentially for the supplementary exam. 80% required on the final exam (as well as 85% overall) for a course grade of 7. 70% required on the final exam (as well as 75% overall) for a course grade of 6. 60% required on the final exam (as well as 65% overall) for a course grade of 5.Exam details
| Planning time | 10 minutes |
|---|---|
| Duration | 120 minutes |
| Calculator options | (In person) Casio FX82 series only or UQ approved and labelled calculator |
| Open/closed book | Closed Book examination - specified written materials permitted |
| Materials | One A4 sheet of handwritten notes, double sided, is permitted |
| Exam platform | Paper based |
| Invigilation | Invigilated in person |
Submission guidelines
Deferral or extension
You may be able to defer this exam.
See ADDITIONAL ASSESSMENT INFORMATION for extension/deferral information relating to this assessment item.
Course grading
Full criteria for each grade is available in the Assessment Procedure.
| Grade | Cut off Percent | Description |
|---|---|---|
| 1 (Low Fail) | 0 - 19 |
Absence of evidence of achievement of course learning outcomes. Course grade description: Final mark less than 20%. |
| 2 (Fail) | 20 - 44 |
Minimal evidence of achievement of course learning outcomes. Course grade description: Final mark of at least 20%, and less than 45% OR Final mark of at least 45%; AND less than 35% on the final exam. |
| 3 (Marginal Fail) | 45 - 49 |
Demonstrated evidence of developing achievement of course learning outcomes Course grade description: Final mark of at least 45%, and less than 50%; AND at least 35% on the final exam OR Final mark of 50% or more; AND at least 35% and less than 40% on the final exam. |
| 4 (Pass) | 50 - 64 |
Demonstrated evidence of functional achievement of course learning outcomes. Course grade description: Final mark at least 50%, and less than 65%; AND at least 40% on the final exam OR Final mark of at least 65%; AND at least 40% and less than 60% on the final exam.ﾠ |
| 5 (Credit) | 65 - 74 |
Demonstrated evidence of proficient achievement of course learning outcomes. Course grade description: Final mark at least 65%, and less than 75%; AND at least 60% on the final exam OR Final mark of at least 75%; and at least 60% and less than 70% on the final exam. |
| 6 (Distinction) | 75 - 84 |
Demonstrated evidence of advanced achievement of course learning outcomes. Course grade description: Final mark at least 75%, and less than 85%; AND at least 70% on the final exam OR Final mark of at least 85%, AND at least 70% and less than 80% on the final exam. |
| 7 (High Distinction) | 85 - 100 |
Demonstrated evidence of exceptional achievement of course learning outcomes. Course grade description: Final mark at least 85%; AND at least 80% on the final exam. |
Supplementary assessment
Supplementary assessment is available for this course.
Should you fail a course with a grade of 3, you may be eligible for supplementary assessment. Refer to my.UQ for information on supplementary assessment and how to apply.
Supplementary assessment provides an additional opportunity to demonstrate you have achieved all the required learning outcomes for a course.
If you apply and are granted supplementary assessment, the type of supplementary assessment set will consider which learning outcome(s) have not been met.
Supplementary assessment for this course will be a two-hour comprehensive written exam, to be run at the same time as the deferred exam, under the same conditions as the deferred exam. Students granted supplementary assessment must pass the supplementary exam (50%) to pass the course.
Additional assessment information
Students should check that assignment marks are correctly entered on Blackboard.
No discussions about incorrect/missing marks will be entertained more than three weeks after the given assignment has been returned.
Artificial Intelligence
Assessment tasks in this course evaluate students' abilities, skills and knowledge without the aid of generative Artificial Intelligence (AI) or Machine Translation (MT). Students are advised that the use of AI or MT technologies to develop responses is strictly prohibited and may constitute student misconduct under the Student Code of Conduct.
Applications for Extensions to Assessment Due Dates
Extension requests are submitted online via my.UQ – applying for an extension. Extension requests received in any other way will not be approved. Additional details associated with extension requests, including acceptable and unacceptable reasons, may be found at my.UQ.
Please note:
- Requests for an extension to an assessment due date must be submitted through your my.UQ portal and you must provide documentation of your circumstances, as soon as it becomes evident that an extension is needed. Your application must be submitted on or before the assessment item's due date and time.
- Applications for extension can take time to be processed so you should continue to work on your assessment item while awaiting a decision. We recommend that you submit any completed work by the due date, and this will be marked if your application is not approved. Should your application be approved, then you will be able to resubmit by the agreed revised due date.
- If an extension is approved, you will be notified via your my.UQ portal and the new date and time for submission provided. It is important that you check the revised date as it may differ from the date that you requested.
- If the basis of the application is a medical condition, applications should be accompanied by a medical certificate dated prior to the assignment due date. If you are unable to provide documentation to support your application by the due date and time you must still submit your application on time and attach a written statement (Word document) outlining why you cannot provide the documentation. You must then upload the documentation to the portal within 24 hours.
- If an extension is being sought on the basis of exceptional circumstances, it must be accompanied by supporting documentation (eg. Statutory declaration).
- For extensions based on a SAP you may be granted a maximum of 7 days (if no earlier maximum date applies). See the Extension or Deferral availability section of each assessment for details. Your SAP is all that is required as documentation to support your application. However, additional extension requests for the assessment item will require the submission of additional supporting documentation e.g., a medical certificate. All extension requests must be received by the assessment due date and time.
- Students may be asked to submit evidence of work completed to date. Lack of adequate progress on your assessment item may result in an extension being denied.
- If you have been ill or unable to attend class for more than 14 days, you are advised to carefully consider whether you are capable of successfully completing your courses this semester. You might be eligible to withdraw without academic penalty - seek advice from the Faculty that administers your program.
- There are no provisions for exemption from an assessment item within UQ rules. If you are unable to submit an assessment piece then, under special circumstances, you may be granted an exemption, but may be required to submit alternative assessment to ensure all learning outcomes are met.
Applications to defer an exam
In certain circumstances you can apply to take a deferred examination for in-semester and end-of-semester exams. You'll need to demonstrate through supporting documentation how unavoidable circumstances prevented you from sitting your exam. If you can’t, you can apply for a one-off discretionary deferred exam.
Deferred Exam requests are submitted online via mySi-net. Requests received in any other way will not be approved. Additional details associated with deferred examinations, including acceptable and unacceptable reasons may be found at my.UQ.
Please note:
- Applications can be submitted no later than 5 calendar days after the date of the original exam.
- There are no provisions to defer a deferred exam. You need to be available to sit your deferred examination.
- Your deferred examination request(s) must have a status of "submitted" in mySI-net to be assessed.
- All applications for deferred in-semester examinations are assessed by the relevant school. Applications for deferred end-of-semester examinations are assessed by the Academic Services Division.
- You’ll receive an email to your student email account when the status of your application is updated.
- If you have a medical condition, mental health condition or disability and require alternative arrangements for your deferred exam you’ll need to complete the online alternative exam arrangements through my.UQ. This is in addition to your deferred examinations request. You need to submit this request on the same day as your request for a deferred exam or supplementary assessment. Contact Student Services if you need assistance completing your alternative exam arrangements request.
Learning resources
You'll need the following resources to successfully complete the course. We've indicated below if you need a personal copy of the reading materials or your own item.
Library resources
Find the required and recommended resources for this course on the UQ Library website.
Additional learning resources information
ﾠAs well as the textbooks and workbooks, students will have four assignments;
these contribute directly to the assessment for this course.
Other resources available will be:
Weekly problem sheets to provide additional practice (model solutions will be posted);
Practice in-semester exam;
Practice problems for the final exam.
Completion of these other items will not directly contribute towards your final course mark. Completion will obviously have a direct benefit to your understanding of the material, and hence to your level of preparedness for the final exam.
There is also an Ed discussion board (link from the course Blackboard site).
Current and past assignments, along with model solutions, will be posted on the course web page: ﾠhttp://www.maths.uq.edu.au/courses/MATH3401.
It is very important that students check this page regularly.
Learning activities
The learning activities for this course are outlined below. Learn more about the learning outcomes that apply to this course.
Filter activity type by
Please select
| Learning period | Activity type | Topic |
|---|---|---|
Multiple weeks From Week 1 To Week 13 |
Lecture |
Lecture Students should attend or view all the lectures. A script will not be provided, nor will one be posted on the web-page. Both lecture recordings and screenshots of the boards will be posted to the course webpage. There will be various hand-outs throughout the semester: these will be posted on the web-page, along with assignments, and model solutions. These are in no way designed to substitute for your lecture-notes. Please note that the in-semester exam is scheduled in the lecture slot from 1:00-1:50 pm on Thursday 10 April. The in-semester exam is formative and is not mandatory, but is highly recommended. The lecture scheduleﾠconsists of 37ﾠlectures: There is no lecture on Friday 18 April (Good Friday) orﾠ Monday 05ﾠMay (Labour Day public holiday). The first lecture will be largely an introduction, and the final lecture will include someﾠrevision. One lecture in week 6ﾠwillﾠinclude review for the mid-semester exam. The following is a draft of the lecture schedule for the course. Students should readﾠthe assigned readings (from Brown/Churchill)ﾠpriorﾠto each lecture. The optional readings are not directly examinable and should be read only by students who feel they have comfortably mastered the material in the assigned readings. Students will be advised of any changes to the assigned readings as soon as possible, but please note that the pace is likely to vary throughout the semester: sometimes we are likely to be ahead, sometimes behind. I. Elementary Functions and Mappings 2-3. Overview and Revision, reviewﾠof resources Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 1-10.ﾠ( 8th Ed. Sections 1-9.) 4. Mappings and Functions Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sectionﾠ12, 13 (exclude examples),ﾠ96, 97, 98.ﾠﾠ ( 8th Ed. Sections 12, 13ﾠ(exclude examples),ﾠ90, 91, 92.) 5. Linear Fractional Transformations Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ (Sections 99, 100, 101ﾠ(exclude example 3)). (8th Ed.Sectionsﾠ93, 94, 95ﾠ(exclude example 3).)ﾠ 6-7. Exponentials and Logarithms Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sectionsﾠ102ﾠ(example 3 only), 103, 30, 31, 33. (8th Ed. Sectionsﾠ14, 29, 30, 32, 95ﾠ(example 3 only.) 8. Complex Exponents Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 35, 14, 107, 108ﾠ(exclude Example), 109. (8th Ed. Sections 33, 13ﾠ(Examples only), 97ﾠ(exclude Example 3), 98.) 9. Trigonometric and Hyperbolic mappings Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 37, 38, 39, 40,ﾠ104, 105,ﾠ106, 108ﾠ(Example only). (8th Ed. Sectionsﾠﾠ34, 35, 36, 96, 97ﾠ(Example 3 only)). II. Calculus of Analytic Functions 10. Basic topology Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sectionﾠ12. (8th Ed. Sections 11.) 11. Limits Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 15-17. (8th Ed. Sections 15-17.) 12. Continuity and Differentiation Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 18-20. (8th Ed. Sections 18-20.) 13-14. Analytic Functions and the Cauchy-Riemann Equations Pre-reading:ﾠﾠﾠ ﾠSections 21-26.ﾠ(8th Ed. Sections 21-25.) 15. Integration of Complex-Valued Functions Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 41-43. (8th Ed.ﾠSections 37-39.) 16. Contour Integration Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 44-46. (8th Ed.ﾠSections 40-42.) 17. Antiderivatives and the Cauchy-Goursat Theorem Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 47-50. (8th Ed. Sections 43-46.) 18. Cauchy Integral Formula, revision for mid-semester exam. Morera’s Theorem Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 54-55. (8th Ed.ﾠSectionsﾠ50-51.) 19. Cauchy Integral Formula ctd.,ﾠMorera’s Theorem Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 56-57. (8th Ed.ﾠSectionsﾠ51-52.) 20. In-semester Examination Based on first 17ﾠassigned readings and lectures. This will be an on-line, formative exam taken at the location of your choosing, during the lecture slot: see section 5.1 of the profile for details. 21. Liouville’s Theorem, Fundamental Theorem of Algebra, Maximum Modulus Principle Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 58, 59.ﾠ (8th Ed. Sectionsﾠ53, 54.) III. Conformal Mapping and Boundary Value Problems 22. Conformal Mapping Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 112-114. (8th Ed. Sectionsﾠ101-103.) 23. Harmonic Functions Pre-reading: ﾠSections 27, 115, 116. (8th Ed. Sectionsﾠ26, 104, 105.) 24.ﾠBoundary Value Problems Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 117-119. (8th Ed. Sectionsﾠ106-108.) 25. Temperatures and Heat Conduction Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 120-121. (8th Ed. Sectionsﾠ109-110.) 26. Poisson Integral Formula Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 134-137. (8th Ed.ﾠ123-125.) 27. Electrostatic Potentials Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 122-123. (8th Ed. Sectionsﾠ111-112.) Optional:ﾠFluid Flow Sections 124-126. (8th Ed. Sectionsﾠ113-115.) ﾠ IV. Series 28. Power Series Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 60, 61, 69, 70. (8th Ed. Sectionsﾠ55, 56, 63, 64.) 29. Taylor Series Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 62-64. (8th Ed.ﾠSections 57-59.)ﾠﾠ ﾠ ﾠ ﾠ ﾠ ﾠ ﾠ ﾠ ﾠ 30. Laurent Series Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠSections 66-68.ﾠ(8th Ed.ﾠSections 60-62.) ﾠ 31. Manipulations with Power Series Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 71-73. (8th Ed. Sectionsﾠﾠ65-67.) V. Integration using Residues 32. Residues and Poles Pre-reading: Sections 74-79. (8th Ed.ﾠSections 68-72.) 33-34. Integration using Residues Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 80-83.ﾠ(8th Ed.ﾠSections 73-76.) Optional reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 84.ﾠﾠﾠ(8th Ed.ﾠSectionﾠ77.)ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ 35-36. Improper Integrals,ﾠJordan’s Lemma and Indented Paths Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 85-91. (8th Ed.ﾠSections 78-84.) 37.ﾠRouche’s Theorem,ﾠSome Applicationsﾠ+ Review Pre-reading:ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ Sections 92-94. (8th Ed.ﾠSections 85-87.) Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08 |
Multiple weeks From Week 2 To Week 13 |
Practical |
Practical In the practicals students will: receive help on the current assignment; get corrected assignments returned; be able to ask questions on the current assignment; work on and ask questions on tutorial problems; be able to ask general questions related to course work. Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08 |
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University policies and procedures apply to all aspects of student life. As a UQ student, you must comply with University-wide and program-specific requirements, including the:
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- Student Integrity and Misconduct Policy and Procedure
- Assessment Procedure
- Examinations Procedure
- Reasonable Adjustments - Students Policy and Procedure
Learn more about UQ policies on my.UQ and the Policy and Procedure Library.