Linear algebra: vectors and matrices, Matrix algebra with applications to flow problems and Markov chains; matrix inversion methods. Probability and combinatorics: elementary probability theory, random variables, probability distributions, expected value; counting arguments in combinatorics; statistics. Calculus: Differation and partial differentiation; constructing Taylor series expansions.
3 hrs lectures/wk, 1 hr laboratory/wk
Students will be expected to spend a total of 12 hours per week during semester on this unit as follows:
Lectures: 3 hours per week
Lab Sessions: 1 hour per week
and up to an additional 8 hours in some weeks for completing lab and project work, private study and revision.
MAT1841
Tom Hall
Contact hours: Tuesday 2:00 to 4:00
Derek Holtby
At the completion of this unit students will have:
Examination (3 hours): 70%; In-semester assessment: 30%
| Assessment Task | Value | Due Date |
|---|---|---|
| Assignment 1 | 10% | Week 5 |
| Assignment 2 | 10% | Week 8 |
| Assignment 3 | 10% | Week 11 |
| Examination 1 | 70% | To be advised |
Monash is committed to excellence in education and regularly seeks feedback from students, employers and staff. One of the key formal ways students have to provide feedback is through SETU, Student Evaluation of Teacher and Unit. The University's student evaluation policy requires that every unit is evaluated each year. Students are strongly encouraged to complete the surveys. The feedback is anonymous and provides the Faculty with evidence of aspects that students are satisfied and areas for improvement.
For more information on Monash's educational strategy, and on student evaluations, see:
http://www.monash.edu.au/about/monash-directions/directions.html
http://www.policy.monash.edu/policy-bank/academic/education/quality/student-evaluation-policy.html
If you wish to view how previous students rated this unit, please go to
https://emuapps.monash.edu.au/unitevaluations/index.jsp
| Week | Activities | Assessment |
|---|---|---|
| 0 | No formal assessment or activities are undertaken in week 0 | |
| 1 | COMBINATORICS Selections and arrangements, Pascal's Triangle | |
| 2 | Partitions, combinatorial identities, inclusion and exclusion, pigeonhole principle | |
| 3 | PROBABILITY Elementary theory, Bayesian analysis, random variables | |
| 4 | Mean and standard deviation, binomial distribution, normal distribution, t-distribution | |
| 5 | LINEAR ALGEBRA Systems of linear equations, Gaussian elimination | Assignment 1 due |
| 6 | Homogeneous systems, application to network flow, matrix algebra | |
| 7 | Application to Markov Chains | |
| 8 | Matrix inverses, determinants, application to coding | Assignment 2 due |
| 9 | CALCULUS Differentiation | |
| 10 | Parametric differation, higher derivatives, power series and Taylor polynomials | |
| 11 | Functons of several variables, partial differentiation | Assignment 3 due |
| 12 | Tangent planes and linear approximations, higher partial derivatives, Taylor polynomial of degree 2 (quadratic appoximation) | |
| SWOT VAC | No formal assessment is undertaken SWOT VAC | |
| Examination period | LINK to Assessment Policy: http://policy.monash.edu.au/policy-bank/ academic/education/assessment/ assessment-in-coursework-policy.html |
*Unit Schedule details will be maintained and communicated to you via your MUSO (Blackboard or Moodle) learning system.
To pass a unit which includes an examination as part of the assessment a student must obtain:
If a student does not achieve 40% or more in the unit examination or the unit non-examination total assessment, and the total mark for the unit is greater than 50% then a mark of no greater than 49-N will be recorded for the unit
It is a University requirement (http://www.policy.monash.edu/policy-bank/academic/education/conduct/plagiarism-procedures.html) for students to submit an assignment coversheet for each assessment item. Faculty Assignment coversheets can be found at http://www.infotech.monash.edu.au/resources/student/forms/. Please check with your Lecturer on the submission method for your assignment coversheet (e.g. attach a file to the online assignment submission, hand-in a hard copy, or use an online quiz).
Submission must be made by the due date otherwise penalties will be enforced.
You must negotiate any extensions formally with your campus unit leader via the in-semester special consideration process: http://www.infotech.monash.edu.au/resources/student/equity/special-consideration.html.
Monash has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University's academic standards, and to provide advice on how they might uphold them.
You can find Monash's Education Policies at:
http://policy.monash.edu.au/policy-bank/academic/education/index.html
Key educational policies include:
The University provides many different kinds of support services for you. Contact your tutor if you need advice and see the range of services available at www.monash.edu.au/students The Monash University Library provides a range of services and resources that enable you to save time and be more effective in your learning and research. Go to http://www.lib.monash.edu.au or the library tab in my.monash portal for more information. Students who have a disability or medical condition are welcome to contact the Disability Liaison Unit to discuss academic support services. Disability Liaison Officers (DLOs) visit all Victorian campuses on a regular basis