• Class Number 7929
• Term Code 2960
• Class Info
• Unit Value 6 units
• Mode of Delivery In Person
• COURSE CONVENER
• AsPr Bai-Ling Wang
• LECTURER
• AsPr Bai-Ling Wang
• Prof Peter Vassiliou
• Class Dates
• Class Start Date 22/07/2019
• Class End Date 25/10/2019
• Census Date 31/08/2019
• Last Date to Enrol 29/07/2019
SELT Survey Results

Mathematical Foundations for Actuarial Studies (MATH1113)

This course provides a study of the fundamental concepts of calculus and linear algebra. The use and understanding of proof and abstract ideas, will allow students to develop analytical skills which will form a foundation for further study in the quantitative areas of actuarial studies.

Topics to be covered include: Calculus - limits, continuity, differentiation, inverse functions, transcendental functions, extrema, concavity and inflections, applications of derivatives, Taylor Polynomials, integration, differential equations, functions of several variables, partial derivatives, optimality, gradient and the second derivative test in two variables, double integrals; Linear Algebra - complex numbers, solving linear equations, matrix equations, linear independence, linear transformations, matrix operations, matrix inverses, subspaces, dimension and rank, determinants, Cramer's rule, volumes, eigenvalues, eigenvectors.

Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Explain the fundamental concepts of calculus and linear algebra and their role in modern mathematics and applied contexts. (LO1)
2. Demonstrate accurate and efficient use of calculus and linear algebra techniques. (LO2)
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from calculus and linear algebra. (LO3)
4. Apply problem-solving using calculus and linear algebra techniques applied to situations in statistics, physics, engineering and other mathematical contexts. (LO4)

Staff Feedback

Students will be given feedback in the following forms in this course:

• feedback to whole class, groups, individuals, focus group etc

Student Feedback

ANU is committed to the demonstration of educational excellence and regularly seeks feedback from students. Students are encouraged to offer feedback directly to their Course Convener or through their College and Course representatives (if applicable). The feedback given in these surveys is anonymous and provides the Colleges, University Education Committee and Academic Board with opportunities to recognise excellent teaching, and opportunities for improvement. The Surveys and Evaluation website provides more information on student surveys at ANU and reports on the feedback provided on ANU courses.

Other Information

Please note, that where there are multiple assessment tasks of the same type, e.g weekly quizzes, a date range is used in the Assessment Summary. The first date is the approximate due date of the first task, the return date is the approximate return date for the final task. Further information is provided in the assessment section of the class summary, and details are provided on the course wattle site

Class Schedule

Week/Session Summary of Activities Assessment
1 Functions, limits and the Squeeze Theorem, Continuity; Systems of linear equations, Gaussian elimination and row echelon forms.
2 Derivatives, rates of change and basic differentiation rules, Vectors and vector operations. Related rates and linear approximations.
3 Minimum and Maximum values, Mean Value Theorem, Shape of graphs, l’Hospital’s Rule, Curve Sketching, Optimisation Problems; Matrix-vector products and solution sets of linear systems, Applications of linear systems.
4 Antiderivatives; Definite integral, Evaluating Definite Integrals; Fundamental Theorem of Calculus; Linear independence, Subspaces, basis of a subspace.
5 Inverse functions, logarithmic and exponential functions. Inner products and orthogonality, Linear transformations.
6 Integration techniques: by substitutions and by parts; Trigonometric integrals and improper integrals. The matrix of a linear transformation, Matrix multiplication and other algebraic operations.
7 Integration for partial fractions, Exponential Growth and Decay. Differential equations. Matrix inverses.Characteristics of invertible matrices/invertible linear transformations.
8 Sequences and series. Convergence Tests, Power series. Taylor and Maclaurin Series. Determinants and their properties.
9 Introduction to functions of two varibales (Domains, graphs and level curves), Cramer's rule, determinant formula, and areas, Areas, introduction to eigenvalues and eigenvectors.
10 Multivariable calculus-Limits, continuity and partial derivatives, Multivariable calculus-Tangent planes, Chain Rules, Eigenvalues, eigenvectors, and the characteristic polynomial.
11 Implicit Differentiation. Gradient vectors and directional derivatives. Extrema and Optimisation, Double integrals. Diagonalisation, Eigenvectors and linear transform
12 Area Integrals, Double integrals in polar coordinates. Change of variables in double integrals.

Tutorial Registration

Log on to WATTLE to select your workshop class.

Assessment Summary

Assessment task Value Due Date Return of assessment Learning Outcomes
Workshop participation and workbook 10 % 05/08/2019 01/11/2019 1,2,3,4
Assignments 10 % 05/08/2019 01/11/2019 1,2,3,4
Online Quizzes 10 % 05/08/2019 01/11/2019 1,2,3,4
Mid semester exam 25 % 26/08/2019 30/08/2019 1,2,3,4
End of Semester Exam 45 % 31/10/2019 05/11/2019 1,2,3,4

* If the Due Date and Return of Assessment date are blank, see the Assessment Tab for specific Assessment Task details

Policies

ANU has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and implement them. Students are expected to have read the Academic Misconduct Rule before the commencement of their course. Other key policies and guidelines include:

Assessment Requirements

The ANU is using Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. For additional information regarding Turnitin please visit the ANU Online website. In rare cases where online submission using Turnitin software is not technically possible; or where not using Turnitin software has been justified by the Course Convener and approved by the Associate Dean (Education) on the basis of the teaching model being employed; students shall submit assessment online via ‘Wattle’ outside of Turnitin, or failing that in hard copy, or through a combination of submission methods as approved by the Associate Dean (Education). The submission method is detailed below.

Moderation of Assessment

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.

Examination(s)

Please note, that where a date range is used in the Assessment Summary in relation to exams, the due date and return date indicate the approximate timeframe in which the exam will be held and results returned to the student (official end of Semester results released on ISIS). Students should consult the course wattle site and the ANU final examination timetable to confirm the date, time and venue of the exam.

Value: 10 %
Due Date: 05/08/2019
Return of Assessment: 01/11/2019
Learning Outcomes: 1,2,3,4

Workshop participation and workbook

Work through a list of practice questions and present the solutions.

The workbook must be submitted during each workshop. It contains a short summary of the important topics that have been covered in class over the last week. Students should also be prepared to show your demonstrator worked solutions to last week’s online quiz.

Students are expected to contribute on an on-going basis throughout the semester.

Value: 10 %
Due Date: 05/08/2019
Return of Assessment: 01/11/2019
Learning Outcomes: 1,2,3,4

Assignments

There are nine assignments during the semester. Further details can be found on the Course Wattle site.

Students are expected to contribute on an on-going basis throughout the semester.

Value: 10 %
Due Date: 05/08/2019
Return of Assessment: 01/11/2019
Learning Outcomes: 1,2,3,4

Online Quizzes

There are 10 online quizzes on WebAssign. Students should receive an introductory email from the WebAssign system during the first week. The first quiz is now due on Thursday, the 1st of August. Further details can be found on the Course Wattle site.

Students are expected to contribute on an on-going basis throughout the semester.

Value: 25 %
Due Date: 26/08/2019
Return of Assessment: 30/08/2019
Learning Outcomes: 1,2,3,4

Mid semester exam

Value: 45 %
Due Date: 31/10/2019
Return of Assessment: 05/11/2019
Learning Outcomes: 1,2,3,4

End of Semester Exam

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.

Online Submission

You will be required to electronically sign a declaration as part of the submission of your assignment. 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.

Hardcopy Submission

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.

Late Submission

Late submission permitted. Late submission of assessment tasks without an extension are penalised at the rate of 5% of the possible marks available per working day or part thereof. Late submission of assessment tasks is not accepted after 10 working days after the due date, or on or after the date specified in the course outline for the return of the assessment item. Late submission is not accepted for take-home examinations.

Referencing Requirements

Accepted academic practice for referencing sources that you use in presentations can be found via the links on the Wattle site, under the file named “ANU and College Policies, Program Information, Student Support Services and Assessment”. Alternatively, you can seek help through the Students Learning Development website.

Returning Assignments

Assignments will be marked by demonstrators online so students can view any feedbacks.

Extensions and Penalties

Extensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure. The Course Convener may grant extensions for assessment pieces that are not examinations or take-home examinations. If you need an extension, you must request an extension in writing on or before the due date. If you have documented and appropriate medical evidence that demonstrates you were not able to request an extension on or before the due date, you may be able to request it after the due date.

Resubmission of Assignments

No resubmission of assignments.

Privacy Notice

The ANU has made a number of third party, online, databases available for students to use. Use of each online database is conditional on student end users first agreeing to the database licensor’s terms of service and/or privacy policy. Students should read these carefully. In some cases student end users will be required to register an account with the database licensor and submit personal information, including their: first name; last name; ANU email address; and other information.
If any student chooses not to agree to the database licensor’s terms of service or privacy policy, the student will not be able to access and use the database. In these circumstances students should contact their lecturer to enquire about alternative arrangements that are available.

Academic Quality Assurance Committee monitors the performance of students, including attrition, further study and employment rates and grade distribution, and College reports on quality assurance processes for assessment activities, including alignment with national and international disciplinary and interdisciplinary standards, as well as qualification type learning outcomes.

Since first semester 1994, ANU uses a grading scale for all courses. This grading scale is used by all academic areas of the University.

Support for students

The University offers students support through several different services. You may contact the services listed below directly or seek advice from your Course Convener, Student Administrators, or your College and Course representatives (if applicable).

Convener

 AsPr Bai-Ling Wang 6125 2905 bai-ling.wang@anu.edu.au

Research Interests

Geometry, Topology and Mathematical Physics

AsPr Bai-Ling Wang

 Monday 14:00 15:00 Monday 14:00 15:00

Instructor

 AsPr Bai-Ling Wang 6125 2905 bai-ling.wang@anu.edu.au

AsPr Bai-Ling Wang

 Monday 14:00 15:00 Monday 14:00 15:00

Instructor

 Prof Peter Vassiliou 61254887 Peter.Vassiliou@canberra.edu.au