Course Details & Outcomes

Course Description

This course builds on MATH1131 or MATH1141 to provide a solid foundation for further study in mathematics for students in STEM disciplines. It is taken by undergraduate students typically in  their frst year. The Calculus half of the course covers partial derivatives and multivariable chain  rules, further techniques of integration and applications of integration, ordinary differential equations, sequences, series and Taylor series. The Linear Algebra half of the course introduces abstract linear algebra, covering vector spaces and linear transformations and eigenvalue and eigenvectors. In addition, there is a topic on probability distributions. Technology is used throughout the course through use of the Maple computer algebra system and students producing a typeset assignment that focuses on written communication skills.

MATH1231 has a higher version, MATH1241, that has greater depth and a greater emphasis on proof and rigorous argument than MATH1231.

Course Aims

The aim of this course is to provide a foundation for further study in mathematics. The course develops further techniques in Calculus, introduces abstract Linear Algebra, and builds on the  foundation of vectors and matrices introduced in MATH1131 or MATH1141. The course also further develops mathematical communication skills and technical skills with computer algebra systems.

Relationship to Other Courses

Pre-requisite(s): For MATH1231, a pass or better is required in MATH1131, MATH1141 or DPST1013.

Exclusions: MATH1031, MATH1231, MATH1241 and DPST1014

Equivalent courses: DPST1014

Related course: MATH1241 is a higher version of MATH1231

Course Learning Outcomes

Learning and Teaching Technologies

Moodle - Learning Management System | Blackboard Collaborate | Echo 360 | Möbius Platform, Maple Application

Learning and Teaching in this course

Lectures

There will be in-person lectures with limited capacity and these will be streamed live online via     Echo360. A link will be provided on Moodle. These lectures will also be recorded and available to watch at a later time, however, it is recommended that students attend the lectures live, whether  in-person or online. An alternative pre-recorded lecture option will also be available for

MATH1231. This is the primary set of lectures for students in the WEB stream, however, students in the WEB stream can also attend the live lectures or watch the live lecture recordings if they

wish.

Classroom Tutorials

The majority of classroom tutorials are scheduled to beheld in-person and face-to-face. The

online Classroom Tutorials will use Blackboard Collaborate, a virtual classroom system. See

Moodle for details. Student will need a computer with internet access to attend the live classes online.

Students are enrolled in one weekly Classroom Tutorial for Weeks 1-5 and 7-10. The Classroom Tutorial will be a mix of Algebra and Calculus each week. Attendance is strongly recommended for all Classroom Tutorials, and a roll will betaken. Selected online Classroom Tutorials may be recorded for students to review at a later time, but these recordings are not  intended as a substitute for live attendance.

The time and location for your Classroom Tutorial can be found on myUNSW. You can change   your tutorial via myUNSW until the end of Week 1. After that time, you can only change tutorials by contacting the Mathematics and Statistics Student Services with evidence of a timetable clash or work commitments.

The main reason for having Classroom Tutorials is to give you a chance to tackle and discuss problems which you fnddifcult or don't fully understand, so it is important to try at least a

selection of tutorial problems before attending your Classroom Tutorial so that you know the    questions you would like to ask of your tutor. A schedule of suggested homework problems, to be attempted before your classroom tutorial, will be posted on Moodle.

Solving problems and writing mathematics clearly are two separate skills that need to be developed through practice. We recommend that you keep a workbook to practice writing solutions to mathematical problems.

If your tutorial falls on a public holiday, it will be cancelled for that week. You can optionally attend another tutorial class from the online options for that week only. You can fnd the times of tutorials on the central timetable for all tutorials, or in the Blackboard Collaborate session list specifcally for online tutorials.

Weekly Lessons

The Weekly Lessons are an integral part of this course; they help you to stay up-to-date with the course content and give an alternative view on the course materials.  Some of these Lessons may contain material not yet covered in lectures.  When this happens, this material is intended as preparation for the lectures in the following week and the lessons will be self-contained.

Moodle

Log into Moodle to fnd announcements, general information, notes, lecture slides, classroom tutorial and homework problems, and links to Weekly Lessons and assessments.

https://moodle.telt.unsw.edu.au/

Möbius

All assessments in this course, including Weekly Lessons, use a system called Möbius. Information on how to access and use Möbius is provided on Moodle.

Maple and Computing

The aim of the computing component is twofold:

1. You will use the symbolic computing package Maple to conduct mathematics on the

computer. This usage of Maple is integrated with the Algebra and Calculus streams and the

assessments of this course, and is designed to enhance your understanding of the

mathematics involved, as well as letting you use software as a tool to do mathematics. You

will fnd the skills you acquire and things you learn useful in many other subjects of study, both within and outside the School of Mathematics and Statistics. Maple enables you to tackle

larger, harder and more real-world mathematical problems, since it can handle all the difcult    algebra and calculus for you. Furthermore, learning some Maple introduces you to some of the basic ideas of computer programming.

2. You will gain some experience in teaching yourself how to use a complicated computing

package. Independently learning to use technical software is a valuable skill required in other courses at UNSW and in the workforce.

Maple is available for Windows, Mac and Linux, but is not freeware. UNSW provides a free cloud- based virtual version of Maple that students in frst-year mathematics courses can access on their personal devices. For details, please see the myAccess website:

https://www.myaccess.unsw.edu.au/

The computing component of MATH1231 follows on from the computing component of

MATH1131/1141. The introductory materials from MATH1131/1141 will be provided on Moodle for revision if you need them.

From Week 1 onwards, you are expected to independently master Chapter 1 and all the remaining sections of Chapter 2 in the First Year Maple Notes by completing the self-contained Self-Paced Maple Lessons (and by seeking and obtaining help from the Lab Consultants as necessary; see below). You are expected to work steadily through these modules as part of the Weekly Lessons. The online teaching package consists of the following modules:

  Module 8. Functions of Two or More Variables

  Module 9. Further Calculus

  Module 10. Further Linear Algebra

  Module 11. 3D Geometry

  Module 12. Programming in Maple

During the term, the assessment for the computing component of the course is embedded in the Weekly Lessons (including the Lab Tests), and is linked to topics in algebra and calculus, so

knowledge of other parts of the course is required. The Final Examination may contain some questions requiring knowledge of Maple.

Assessments

Assessment Structure