MATHS 7101 - Multivariable and Complex Calculus
North Terrace Campus - Semester 1 - 2024
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General Course Information
Course Details
Course Code MATHS 7101 Course Multivariable and Complex Calculus Coordinating Unit Mathematical Sciences Term Semester 1 Level Postgraduate Coursework Location/s North Terrace Campus Units 3 Contact Up to 3.5 hours per week Available for Study Abroad and Exchange Y Assumed Knowledge MATHS 1012 Assessment Ongoing assessment, exam. Course Staff
Course Coordinator: Associate Professor Sanjeeva Balasuriya
Course Timetable
The full timetable of all activities for this course can be accessed from .
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Learning Outcomes
Course Learning Outcomes
- Demonstrate understanding of the basic concepts of calculus involving more than one real variable.
- Demonstrate understanding of the basic concepts of calculus for one complex variable.
- Be able to state and apply the major results in the course.
- Apply the theory in the course to solve a variety of problems at an appropriate level of difficulty.
- Demonstrate skills in communicating mathematics orally and in writing.
University Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
University Graduate Attribute Course Learning Outcome(s) Attribute 1: Deep discipline knowledge and intellectual breadth
Graduates have comprehensive knowledge and understanding of their subject area, the ability to engage with different traditions of thought, and the ability to apply their knowledge in practice including in multi-disciplinary or multi-professional contexts.
all Attribute 2: Creative and critical thinking, and problem solving
Graduates are effective problems-solvers, able to apply critical, creative and evidence-based thinking to conceive innovative responses to future challenges.
all Attribute 3: Teamwork and communication skills
Graduates convey ideas and information effectively to a range of audiences for a variety of purposes and contribute in a positive and collaborative manner to achieving common goals.
3 Attribute 4: Professionalism and leadership readiness
Graduates engage in professional behaviour and have the potential to be entrepreneurial and take leadership roles in their chosen occupations or careers and communities.
5 Attribute 8: Self-awareness and emotional intelligence
Graduates are self-aware and reflective; they are flexible and resilient and have the capacity to accept and give constructive feedback; they act with integrity and take responsibility for their actions.
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Learning Resources
Required Resources
- Textbook: Multivariable and Complex Calculus, Matt Finn and Sanjeeva Balasuriya, 成人大片 (2021).
- Purpose built video lecture recordings for each section of the textbook.
Recommended Resources
- External videos relevant to the course material.
Online Learning
This course uses MyUni exclusively for providing electronic resources, such as the textbook, videoed lectures, tutorial questions, assignments, sample solutions, quizzes (for self-testing), discussion boards, sample test / examination etc. Students must make appropriate use of all these resources to succeed in this course. -
Learning & Teaching Activities
Learning & Teaching Modes
Course delivery will occur on a weekly timetable. Each week typically consists of a variety of learning activities. All asynchronous activities/resources will be released at the beginning of each week, to enable students to personalise their schedules. Weekly tasks include:- Reading the relevant sections of the textbook.
- Viewing video-recorded lecture material which complements rather than mimics the textbook.
- Participation in a synchronous scheduled (face-to-face or remote) tutorial and workshop session. These are designed for active learning and practicing problems to reinforce this learning.
- Attempting the extra practice problems which are released with the tutorial sheets.
- Reviewing whether the learning outcomes -- listed at the end of each relevant section in the textbook -- have been achieved.
- Completing a short online quiz to strengthen understanding of the relevant weekly material.
- Review released solutions from the previous week's tutorial questions.
- Attend the online consulting sessions as necessary, particularly if the student is having difficulty in achieving the learning outcomes.
Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Quantity Workload Hours Engaging with the written (textbook) and oral / visual (lecture recordings) course material - 88 Tutorials and Practice Problems 12 24 Quizzes 10 5 Assignments 5 10 Revising and studying - 29 Total 156 Learning Activities Summary
The learning activities are centred around the course content, given below in terms of the relevant chapters of the textbook:- Functions of many variables: preliminaries.
- Differentiation of multivariable functions.
- Integration of multivariable functions.
- Fundamental theorems of multivariable calculus.
- Complex calculus.
- Week 1: Course introduction, Sections 1.1 and 1.2.
- Week 2: Sections 1.3, 2.1.
- Week 3: Sections 2.2, 2.3.
- Week 4: Sections 2.4, 2.5.
- Week 5: Sections 2.6, 3.1.
- Week 6: Sections 3.2, 3.3.
- Week 7: Section 3.4.
- Week 8: Sections 3.5, 4.1.
- Week 9: Sections 4.2, 4.3.
- Week 10: Sections 5.1, 5.2.
- Week 11: Sections 5.3, 5.4.
- Week 12: Section 5.5.
- Week 13: No new material, Course Review and Examination Preparation.
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Assessment
The University's policy on Assessment for Coursework Programs is based on the following four principles:
- Assessment must encourage and reinforce learning.
- Assessment must enable robust and fair judgements about student performance.
- Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
- Assessment must maintain academic standards.
Assessment Summary
Assessment Task Task Type Due Weighting Learning Outcome Final Examination Summative Final Examination period
40% All Mid-semester Test Summative and Formative Week 7 20% All Quizzes (10) Summative and Formative End of Weeks 2, 3, 4, 5, 6, 8, 9, 10, 11, 12 10% All Assignments (5) Summative and Formative Weeks 3, 5, 8, 10, 12 30% All Assessment Detail
The Mid-semester Test will be held synchronously for all students during the Workshop session in the relevant week, which has been set aside on your timetable for this course. By enrolling in this course, students are signalling their commitment to be available at this time, and must take the test at this time.Assessment Item Distributed Due Weighting Quiz 1 Week 2 End of Week 2 1% Quiz 2 Week 3 End of Week 3 1% Quiz 3 Week 4 End of Week 4 1% Quiz 4 Week 5 End of Week 5 1% Quiz 5 Week 6 End of Week 6 1% Quiz 6 Week 8 End of Week 8 1% Quiz 7 Week 9 End of Week 9 1% Quiz 8 Week 10 End of Week 10 1% Quiz 9 Week 11 End of Week 11 1% Quiz 10 Week 12 End of Week 12 1% Assignment 1 Week 2 Week 3 6% Assignment 2 Week 4 Week 5 6% Assignment 3 Week 7 Week 8 6% Assignment 4 Week 9 Week 10 6% Assignment 5 Week 11 Week 12 6% Mid-semester Test - Week 7 20% Submission
All submissions are to be done using MyUni, following the relevant instructions. Submission deadlines will be strictly adhered to.
- Any delay in assignment submissions will attract penalties.
- Quizzes not completed by the due time will not be accepted by the system.
- The Mid-semester Test must also be strictly completed by the due time.
Course Grading
Grades for your performance in this course will be awarded in accordance with the following scheme:
M10 (Coursework Mark Scheme) Grade Mark Description FNS Fail No Submission F 1-49 Fail P 50-64 Pass C 65-74 Credit D 75-84 Distinction HD 85-100 High Distinction CN Continuing NFE No Formal Examination RP Result Pending Further details of the grades/results can be obtained from Examinations.
Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.
Final results for this course will be made available through .
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Student Feedback
The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.
SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.
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Student Support
- Academic Integrity for Students
- Academic Support with Maths
- Academic Support with writing and study skills
- Careers Services
- Library Services for Students
- LinkedIn Learning
- Student Life Counselling Support - Personal counselling for issues affecting study
- Students with a Disability - Alternative academic arrangements
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Policies & Guidelines
This section contains links to relevant assessment-related policies and guidelines - all university policies.
- Academic Credit Arrangements Policy
- Academic Integrity Policy
- Academic Progress by Coursework Students Policy
- Assessment for Coursework Programs Policy
- Copyright Compliance Policy
- Coursework Academic Programs Policy
- Intellectual Property Policy
- IT Acceptable Use and Security Policy
- Modified Arrangements for Coursework Assessment Policy
- Reasonable Adjustments to Learning, Teaching & Assessment for Students with a Disability Policy
- Student Experience of Learning and Teaching Policy
- Student Grievance Resolution Process
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Fraud Awareness
Students are reminded that in order to maintain the academic integrity of all programs and courses, the university has a zero-tolerance approach to students offering money or significant value goods or services to any staff member who is involved in their teaching or assessment. Students offering lecturers or tutors or professional staff anything more than a small token of appreciation is totally unacceptable, in any circumstances. Staff members are obliged to report all such incidents to their supervisor/manager, who will refer them for action under the university's student鈥檚 disciplinary procedures.
The 成人大片 is committed to regular reviews of the courses and programs it offers to students. The 成人大片 therefore reserves the right to discontinue or vary programs and courses without notice. Please read the important information contained in the disclaimer.
