MATH1131 is a Level I Mathematics course.
Units of credit: 6
Assumed knowledge: A combined mark of at least 100 in HSC Mathematics and Mathematics Extension 1.
Equivalent Course: DPST1013
Exclusions: DPST1013, MATH1011, MATH1031, MATH1141, MATH1151, ECON1202
Cycle of offering: Terms 1, 2 & 3
Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.
Course outline for Term 1 2022
These recent outlines contain information about course objectives, assessment, course materials and the syllabus.
The Online Handbook entry contains up-to-date timetabling information.
The sequel to MATH1131 is MATH1231 Mathematics 1B. MATH1131 and MATH1231 (alternatively their higher versions MATH1141 and MATH1241) are recommended courses for Mathematics and Statistics majors and are prerequisites for many Level II and III courses.
If you are currently enrolled in MATH1131, you can log into UNSW Moodle for this course.
For general advice, see advice on choosing first-year courses.Course description
MATH1131 is divided into two broad areas: Algebra and Calculus.
In Algebra you will study the interplay between algebra and geometry. After a discussion of complex numbers, vector geometry is used to motivate the study of systems of linear equations. Algebraic techniques involving matrices and determinants are then developed to study these problems further.
In Calculus, you will study continuous and differentiable functions. The emphasis here is on a logical development of the theory of differentiation and integration. The highlight of the course is one of the great discoveries of Science: the Fundamental Theorem of Calculus which links calculation of areas (integration) and rates of change (differentiation).
A wide variety of disciplines, including the physical sciences, engineering and commerce and economics, make use of the techniques discussed in this course.
Diploma Exams – Important Information
Your Diploma online exams will be conducted on Moodle, monitored by online
invigilators and video recorded via a Zoom session.
1) To access your exams each day, please go to the Diploma Hub on Moodle. There, you will find a link
to the Exam Site (which is also in Moodle). This link will be different for every day of the exam
weeks. Note: this link may not appear until about 30 minutes before the start of the exam.
2) To access your exam, click on the link and you will be taken to the Moodle exam site. Once there,
please right click on the Zoom session link and choose open in new tab. Information about joining
a Zoom session for the first time is on the pages below. Note: CP1511 students do not need to
access the zoom session.
General Examination Rules and Regulations for Online Exams
Note: the specific exam rules for your course, will be displayed at the start of your exam.
• You will require a Mac or PC laptop or desktop device with a functioning video camera,
• You must remain at your work station for the duration of the exam and be in full view of your
device’s video camera.
• You must be in a room by yourself for the duration of the exam.
• For mathematics exams only, you can use any hand-held calculator except programmable or
graphing calculators. The following are examples of approved calculators for Maths:
• Fx-82AU plus II (and older models)
• Fx-82AU plus II 2nd edition
• Fx-82ES plus
• Fx-85ES plus
• Fx-350ES plus
• Fx-85GT plus
Note: Electrical Engineering students (EE1111) require a different calculator. Consult your
Lecturer or Course Outline.
• Do not leave your work station during the exam
• Do not attempt to communicate with another candidate during the exam
• Do not leave the exam session during the exam
• You must not use a dictionary
• You must not search for any information or copy any information from websites
• Maths exams are open book exams with the following rules: you are allowed to access any
of the provided materials in the course (i.e. lectures, tutorial books). You can NOT bring your
own, hand-written or typed notes.
• Physics exams are open book exams with the following rules: you can access anything such
as your notes or course materials. You can NOT EVER use a tutoring site (e.g. Course Hero)
to answer your questions.
• For all other subjects you must not access any materials during the exam
• Do not attempt to record or copy any part of the exam
• Do not copy or share any of the exam questions
• You must not ask for, or give assistance to, any other candidate during the exam
• Listen to the exam invigilator and follow all instructions
• If you need to speak to the invigilator- please use the chat function and speak to the invigilator
• You may request permission for a short toilet break
• u will be required to scan your room with your devices camera when asked to do so by the exam
• Your exam will be recorded and monitored at all times during the exam and reviewed afterwards
• You will not be permitted to start your exam once 20 minutes has passed from the timetabled
• If you access the exam (where this is possible) without going through zoom invigilation,
your exam will not count (i.e. you will be disqualified from the exam and will receive zero
• If you experience connectivity issues or are late to an exam you must complete an Illness and
Misadventure form and you must provide evidence such as time-stamped screenshots and
error messages. please contact Enquiries for further information:
Tips for Improving Your Internet Experience
• If possible connect your device directly to your Router/Modem with an Ethernet cable.
• If using your device wirelessly, sit as close as possible to the router.
• If your share your connection with others, try to ensure they are not using the connection during
• If your internet connection is not reliable you could try hot spotting your mobile phone to your
computer, often the 4G mobile network provides superior internet performance.
• Ensure your device is plugged into mains power during your exam.
• It is your responsibility to ensure you have a working computer that meets the minimum
requirements and you have access to a reliable internet connection.
Should you have any questions relating to your exams please contact your lecturer or
Enquiries at: [email protected]
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The algebra course for MA1131 is based on the MA1131 Algebra Notes
The computer package Maple will be used in the algebra course. An introduction to Maple is
included in the booklet Computing Laboratories Information and First Year Maple Notes.
The lecture timetable is given below. Lecturers will try to follow this timetable, but some variations
may be unavoidable, especially in lecture groups affected by public holidays.
Chapter 1. Introduction to Vectors
Lecture 1. Vector quantities and R
. (Section 1.1, 1.2).
Lecture 2. R
2 and analytic geometry. (Section 1.3).
Lecture 3. Points, line segments and lines. Parametric vector equations. Parallel lines. (Section
Lecture 4. Planes. Linear combinations and the span of two vectors. Planes though the origin.
Parametric vector equations for planes in R
. The linear equation form of a plane. (Section 1.5).
Chapter 2. Vector Geometry
Lecture 5. Length, angles and dot product in R
. (Sections 2.1,2.2).
Lecture 6. Orthogonality and orthonormal basis, projection of one vector on another. Orthonormal basis vectors. Distance of a point to a line. (Section 2.3).
Lecture 7. Cross product: definition and arithmetic properties, geometric interpretation of cross
product as perpendicular vector and area (Section 2.4).
Lecture 8. Scalar triple products, determinants and volumes (Section 2.5). Equations of planes
: the parametric vector form, linear equation (Cartesian) form and point-normal form of
equations, the geometric interpretations of the forms and conversions from one form to another.
Distance of a point to a plane in R
. (Section 2.6).
Chapter 3. Complex Numbers
Lecture 9. Development of number systems and closure. Definition of complex numbers and of
complex number addition, subtraction and multiplication. (Sections 3.1, 3.2, start Section 3.3).
Lecture 10. Division, equality, real and imaginary parts, complex conjugates. (Finish 3.3, 3.4).
Lecture 11. Argand diagram, polar form, modulus, argument. (Sections 3.5, 3.6).
Lecture 12. De Moivre’s Theorem and Euler’s Formula. Arithmetic of polar forms. (Section 3.7,
Lecture 13. Powers and roots of complex numbers. Binomial theorem and Pascal’s triangle.
(Sections 3.7.2, 3.7.3, start Section 3.8).
Lecture 14. Trigonometry and geometry. (Finish 3.8, 3.9).
Lecture 15. Complex polynomials. Fundamental theorem of algebra, factorization theorem,
factorization of complex polynomials of form z
n − z0, real linear and quadratic factors of real polynomials. (Section 3.10).
Chapter 4. Linear Equations and Matrices
Lecture 16. Introduction to systems of linear equations. Solution of 2 × 2 and 2 × 3 systems and
geometrical interpretations. (Section 4.1).
Lecture 17. Matrix notation. Elementary row operations. (Sections 4.2, 4.3).
Lecture 18. Solving systems of equations via Gaussian elimination. (Section 4.4 to 4.8)
Chapter 5. Matrices
Lecture 19. Matrices. (Section 5.1).
Lecture 20. Transpose of a matrix. Inverse of a matrix. (Sections 5.2, 5.3)
Lecture 21. Inverses and definition of determinants. (Section 5.3 and start Section 5.4).
Lecture 22. Properties of determinants. (Section 5.4).
Lecture 23. Revision.
Lecture 24. Revision.