نظرة عامة على البرنامج

Overview

This unit is designed to provide a thorough preparation for further study in mathematics and statistics. It is a core unit of study providing three of the twelve credit points required by the Faculty of Science as well as a foundations requirement in the Faculty of Engineering. This Advanced level unit of study parallels the normal unit MATH1005 but goes more deeply into the subject matter and requires more mathematical sophistication.

Unit Details and Rules

• Academic unit: Mathematics and Statistics Academic Operations
• Credit points: 3
  • Prerequisites: None
  • Corequisites: None
  • Prohibitions: MATH1005 or MATH1015 or STAT1021 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020 or DATA1001 or DATA1901
  • Assumed knowledge: HSC Mathematics Extension 2 or 90 or above in HSC Mathematics Extension 1 or equivalent
  • Available to study abroad and exchange students: Yes

Teaching Staff

• Coordinator: Linh Nghiem
• Lecturer(s): Linh Nghiem

Assessment

• Type: Description, Weight, Due, Length
  • Supervised exam: Exam, 60%, Formal exam period, 1 hour
    • Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8 LO9
  • Small test: Weekly Online Quizzes 3-10, 8%, Multiple weeks, 20 minutes/week
    • Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8 LO9
  • Small test: Weekly Online Quizzes 1-2, 2%, Week 03, 20 minutes/week
    • Outcomes assessed: LO9 LO1 LO2 LO3
  • Short release assignment: Assignment 1, 5%, Week 04, 2-4 pages
    • Outcomes assessed: LO9 LO1 LO2 LO3 LO4
  • Online task: Quiz, 13%, Week 07, 25 minutes
    • Outcomes assessed: LO1 LO2 LO3 LO9 LO4 LO5 LO6
  • Short release assignment: Assignment 2, 10%, Week 10, 6-8 pages
    • Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8 LO9
  • Participation: Tutorials, 2%, Weekly, 50 minutes/week
    • Outcomes assessed: LO4 LO5 LO6 LO7 LO8 LO9 LO1 LO2 LO3

Early Feedback Task

This unit includes an early feedback task, designed to give you feedback prior to the census date for this unit. Details are provided in the Canvas site and your result will be recorded in your Marks page.

Assessment Summary

• Assignments: There are two short release assignments. Your work for each assignment must be submitted electronically via Canvas by the deadline.
• Quiz: One quiz will be held online through Canvas. The quiz is 40 minutes and has to be submitted by the closing time of 23:59 on the due date.
• Weekly Online Quizzes: There are ten (equally weighted) weekly online quizzes. The first two quizzes are used for the Early Feedback Task.
• Tutorial Participation: This is a satisfactory
  on-satisfactory mark assessing whether or not you participate in class activities during the tutorials.
• Final Exam: There is one examination during the examination period at the end of Semester. The final exam for this unit is compulsory and must be attempted.

Late Submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

• Deduction of 5% of the maximum mark for each calendar day after the due date.
• After ten calendar days late, a mark of zero will be awarded.

Academic Integrity

The University expects students and staff to act ethically and honestly and will treat all allegations of academic integrity breaches seriously.

Weekly Schedule

• Week 01: Introduction, descriptive statistics (graphical and numerical summaries), Lecture (2 hr), LO1 LO2 LO9
• Week 02: Review: probabilities and random variables, Lecture and tutorial (3 hr), LO1 LO3 LO9 LO4
• Week 03: Mathematical expectations, Lecture and tutorial (3 hr), LO3 LO9 LO4
• Week 04: Law of large numbers and probability inequalities, Lecture and tutorial (3 hr), LO9 LO4 LO5
• Week 05: Bivariate random variables, Lecture and tutorial (3 hr), LO3 LO4
• Week 06: Sampling distributions and central limit theorem, Lecture and tutorial (3 hr), LO9 LO4 LO5
• Week 07: Point estimation and confidence intervals for normal distribution, Lecture and tutorial (3 hr), LO9 LO5 LO6
• Week 08: Point estimation and confidence intervals for proportion, Lecture and tutorial (3 hr), LO9 LO5 LO6
• Week 09: Hypothesis testing concepts, one-sample statistical tests, Lecture and tutorial (3 hr), LO9 LO5 LO6 LO7
• Week 10: Two-sample and chi-square tests, Lecture and tutorial (3 hr), LO3 LO9 LO7
• Week 11: Correlation and simple linear regression, Lecture and tutorial (3 hr), LO8 LO9
• Week 12: Correlation and simple linear regression, Lecture and tutorial (3 hr), LO8 LO9
• Week 13: Revision, Lecture and tutorial (3 hr), LO1 LO2 LO3 LO8 LO9 LO4 LO5 LO6 LO7

Learning Outcomes

At the completion of this unit, you should be able to:

• LO1: Explain the difference between a randomised controlled experiment and an observational study, in particular the limitations of the latter
• LO2: Produce and interpret various graphical and numerical summaries of univariate and bivariate data
• LO3: Solve problems using principles of probabilities
• LO4: Explain and perform correct computations for some fundamental probability distributions
• LO5: Explain the concept of sampling distribution and central limit theorem
• LO6: Perform appropriate point estimation and confidence interval
• LO7: Explain the concepts related to hypothesis testing, perform appropriate statistical tests in some simple settings
• LO8: Determine when and how to use least-squares regression and correlation to describe a bivariate relationship
• LO9: Apply the methods learnt to various real-world examples and draw sensible, practical statistical conclusions from them

Graduate Qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course.

Outcome Map

Learning outcomes are aligned with the University's graduate qualities.

Responding to Student Feedback

This section outlines changes made to this unit following staff and student reviews.

Additional Information

• Lectures: Lectures are face-to-face and streamed live with online access from Canvas.
• Tutorials: Tutorials are small classes in which you are expected to work through questions from the tutorial sheet in small groups on the white board.
• Tutorial and exercise sheets: The question sheets for a given week will be available on the MATH1962/MATH1905 Canvas page.
• Ed Discussion forum:
• Science student portal
• Mathematics and Statistics student portal

Disclaimer

The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.