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Course profile

Calculus & Linear Algebra I (MATH1051)

Study period
Sem 2 2024
Location
St Lucia
Attendance mode
In Person

Course overview

Study period
Semester 2, 2024 (22/07/2024 - 18/11/2024)
Study level
Undergraduate
Location
St Lucia
Attendance mode
In Person
Units
2
Administrative campus
St Lucia
Coordinating unit
Mathematics & Physics School

Vectors, linear independence, scalar product. Matrices, simultaneous equations, determinants, vector product, eigenvalues, eigenvectors, applications. Equation of straight line and plane. Extreme value theorem, maxima and; minima. Sequences, series, Taylor series, L'Hopital's rules. Techniques of integration, numerical methods, volumes of revolution.

MATH1051 provides an important foundation in calculus and linear algebra that will prove useful for further studies in pure and applied sciences, engineering, finance or further mathematics pursuits.

The calculus component extends high school concepts. We investigate optimisation techniques, limits and L'Hopital's rule, as well as standard techniques of integration and volumes of revolution. Another important topic is the study of sequences and series (infinite sums).ᅠ This extends to Taylor series which is an important tool used throughout the sciences.ᅠᅠ

Linear algebra is the study of vectors and matrices and is extensively used to model systems of interacting elements. For example, matrix methods are common in structural engineering and matrix algebra is necessary for computer graphics. This course covers vectors, linear independence and scalar product which are tools to manipulate vectors. The course continues with matrices, simultaneous equations and determinants. An important component of the study concerns eigenvalues and eigenvectors which model resonant frequencies in dynamical systems.

A further component of MATH1051 comprises an introduction to the computational mathematics package MATLAB, which is useful for many real-life applications and is useful for further studies in engineering and scientific computation.

Any questions relating to administrative matters should be sent to math1051@uq.edu.au

Course requirements

Assumed background

Students should have at least a Grade C in Queensland Specialist Mathematics (formerly Mathematics C) , passed MATH1050, or have an equivalent qualification. 


It is possible to take MATH1051 and MATH1052 in the same semester. In this case, you should have achieved a grade B or higher in Queensland Year 12 Specialist Mathematics (or equivalent) or obtained a credit or better in MATH1050. Note that MATH1052 assumes knowledge of MATH1051. 


Students should be familiar with the following.

  • Algebra: Factoring polynomials, expansion and simplification of algebraic expressions, functions, trigonometric functions and identities, logarithms and the exponential function
  • Calculus: Limits, continuity, the derivative, finding simple maxima and minima, integrals. (These topics will be quickly reviewed)
  • Vectors: Complex numbers, vectors in 2D & 3D space, addition of vectors, angles between vectors, 2x2 matrices and their inverses. (These topics will be quickly reviewed)


Students who have trouble because of gaps in their background should work through the review material from the course Blackboard site and discuss their difficulties in the First-Year Learning Centre. In particular, students with Grade C in Queensland Specialist Mathematics (formerly Mathematics C) or a grade 4 in MATH1050, or who are repeating the course are encouraged to contact the course coordinator to register for a support learning programme.

Prerequisites

You'll need to complete the following courses before enrolling in this one:

MATH1050 or a grade of C or higher in Queensland Year 12 Specialist Mathematics (Units 3 and 4) (or equivalent).

Incompatible

You can't enrol in this course if you've already completed the following:

MATH1071, MATH7051 (co-taught).

Restrictions

Semester 1 external offering restricted to students enrolled in Enhanced Studies Program (program code 1014).

Course contact

Tutor

Ms Finn Thompson

Tutor

Mr Kyle Clunies-Ross

Tutor

Ms Lauren McQueen

Tutor

Ms Jacquie Omnet

Tutor

Mr Alexander Lim

Tutor

Mx Joey Faller

Tutor

Mr Tapash Alister

Tutor

Miss Tina Jin

Tutor

Mr Mragank Singh

Tutor

Mr Gunit Singh

Tutor

Miss Casuarina Maclean

Tutor

Mr Ganesh Sai Srinivasa

Tutor

Ms Renee Oldfield

Tutor

Ms Emma Serisier

Tutor

Miss Mercedes Canal

Tutor

Miss Emma Ng

Tutor

Ms Yan Liu

Tutor

Mr Rishi Goel

Tutor

Mr Aryaman Sharma

Tutor

Mr Douglas Zhang

Tutor

Mr Emmanuel Skoufris

Tutor

Miss Aiko Jackson

Tutor

Mr Andoni Skoufris

Tutor

Mr Jeremy Brady

Tutor

Mr Mittun Sudhahar

Tutor

Mr Matt Giegerl

Tutor

Mr Amitai Rosenbaum

Tutor

Mr Ethan Laskowski

Tutor

Mr Adrian Lesbirel

Tutor

Miss Jess Grant

Tutor

Mr Lachlan McBeath

Tutor

Ms Rhea Wolski

Tutor

Mr Nicholas Rohland

Tutor

Mr Caspar Monckton

Tutor

Mr Simon Brims

Tutor

Miss Tiarne Graves

Tutor

Mr Giriraj Hiranandani

Tutor

Mr Sathu Eswaran

Course staff

Course coordinator

Lecturer

Timetable

The timetable for this course is available on the UQ Public Timetable.

Additional timetable information

All classes will be conducted on campus. Consult your personal timetable for times and locations. Students are expected to attend classes unless they have a valid reason for being unable to attend (such as illness).

 IMPORTANT: If you are ill, then do not attend any classes in person.  You can follow lectures on UQ Extend and attend another workshop during the week.

There will be no classes on Ekka Show day and the King's Birthday. Alternative arrangements will be made and communicated via Blackboard.

You may follow lectures in any of the following ways:

  • face-to-face lectures (preferred!)
  • pre-recordings on UQ Extend, 
  • lecture recordings (usually available soon after the lecture)

Lecture and workshops will begin in Week 1.

The Support Learning Tutorial (SLT) is optional. This class is highly recommended for: 

  • Students who are repeating MATH1051.
  • Students who obtained a Grade 4 in MATH1050.
  • Students who obtained a grade C  for Queensland Specialist Mathematics (or equivalent).
  • Students who are returning to maths studies after a significant period.

Check Blackboard for further information about the SLT.