Advanced Calculus and Linear Algebra (MATH2001)

Information valid for Semester 1, 2025

Course level

Undergraduate

Faculty

Science

School

Mathematics & Physics School

Units

2

Duration

One Semester

Attendance mode

In Person

Class hours

3L1T1C (Summer 6L1T1C)

Incompatible

MATH2000 and MATH7000

Prerequisite

MATH1051 and MATH1052

Assessment methods

Assignments, Mid-semester examination and Final examination

Course enquiries

Doctor Gabriele Tartaglino Mazzucchelli (Summer Semester, Regular, St Lucia, In person)

Doctor Phillip Isaac (Semester 1, Regular, St Lucia, In person)

Associate Professor Yao-zhong Zhang (Semester 2, Regular, St Lucia, In person)

Sem 1 - Dr Phil Isaac

Sem 2 - Assoc Prof Yao-Zhong Zhang

Summer Semester - Dr Gabriele Tartaglino Mazzucchelli

Study Abroad

This course is pre-approved for Study Abroad and Exchange students.

Current course offerings

Course offerings Location Mode Course Profile
Summer Semester, 2024 (25/11/2024 - 08/02/2025) St Lucia In Person Course Profile
Summer Semester, 2024 (25/11/2024 - 08/02/2025) External External Course Profile
Semester 1, 2025 (24/02/2025 - 21/06/2025) St Lucia In Person Course Profile
Semester 2, 2025 (28/07/2025 - 22/11/2025) St Lucia In Person Profile unavailable

Please Note: Course profiles marked as not available may still be in development.

Course description

Second order differential equations; undetermined coefficients, variation of parameters. Multi-dimensional calculus; surface & volume integrals, cylindrical, spherical and general coordinate transformations. Stoke's & Green's theorems, applications (flux, heat equations). Linear algebra, diagonalization, quadratic forms, elementary numerical linear algebra. Taylor series, maxima, minima and saddle points in N-dimensions. Method of least squares for functions. Vector spaces, norms and inner products (for square-integrable functions). Gram-Schmidt orthogonalisation and orthogonal matrices.

Archived offerings

Course offerings Location Mode Course Profile
Semester 1, 2024 (19/02/2024 - 15/06/2024) St Lucia In Person Course Profile
Semester 2, 2024 (22/07/2024 - 18/11/2024) St Lucia In Person Course Profile
Semester 1, 2023 (20/02/2023 - 17/06/2023) St Lucia In Person Course Profile
Semester 1, 2023 (20/02/2023 - 17/06/2023) External External Course Profile
Semester 2, 2023 (24/07/2023 - 18/11/2023) St Lucia In Person Course Profile
Summer Semester, 2023 (27/11/2023 - 10/02/2024) St Lucia In Person Course Profile
Summer Semester, 2023 (27/11/2023 - 10/02/2024) External External Course Profile
Semester 1, 2022 (21/02/2022 - 21/06/2022) St Lucia Internal Course Profile
Semester 1, 2022 (21/02/2022 - 21/06/2022) External External Course Profile
Semester 2, 2022 (25/07/2022 - 19/11/2022) St Lucia Internal Course Profile
Semester 2, 2022 (25/07/2022 - 19/11/2022) External External Course Profile
Summer Semester, 2022 (28/11/2022 - 11/02/2023) St Lucia Internal Course Profile
Summer Semester, 2022 (28/11/2022 - 11/02/2023) External External Course Profile
Semester 1, 2021 (22/02/2021 - 19/06/2021) External External Course Profile
Semester 1, 2021 (22/02/2021 - 19/06/2021) St Lucia Flexible Delivery Course Profile
Semester 2, 2021 (26/07/2021 - 20/11/2021) St Lucia Internal Course Profile
Semester 2, 2021 (26/07/2021 - 20/11/2021) External External Course Profile
Summer Semester, 2021 (29/11/2021 - 29/01/2022) St Lucia Internal Course Profile
Summer Semester, 2021 (29/11/2021 - 29/01/2022) External External Course Profile
Semester 1, 2020 (24/02/2020 - 11/07/2020) St Lucia Internal Course Profile
Semester 2, 2020 (03/08/2020 - 21/11/2020) St Lucia Flexible Delivery Course Profile
Semester 2, 2020 (03/08/2020 - 21/11/2020) External External Course Profile
Summer Semester, 2020 (30/11/2020 - 13/02/2021) St Lucia Flexible Delivery Course Profile
Summer Semester, 2020 (30/11/2020 - 13/02/2021) External External Course Profile
Semester 1, 2019 (25/02/2019 - 22/06/2019) St Lucia Internal Course Profile
Semester 2, 2019 (22/07/2019 - 16/11/2019) St Lucia Internal Course Profile
Summer Semester, 2019 (25/11/2019 - 08/02/2020) St Lucia Internal Course Profile
Semester 1, 2018 (19/02/2018 - 23/06/2018) St Lucia Internal Course Profile
Semester 2, 2018 (23/07/2018 - 17/11/2018) St Lucia Internal Course Profile
Summer Semester, 2018 (26/11/2018 - 09/02/2019) St Lucia Internal Course Profile
Semester 1, 2017 (27/02/2017 - 24/06/2017) St Lucia Internal Course Profile
Semester 2, 2017 (24/07/2017 - 18/11/2017) St Lucia Internal Course Profile
Summer Semester, 2017 (27/11/2017 - 10/02/2018) St Lucia Internal Course Profile
Semester 1, 2016 (29/02/2016 - 25/06/2016) St Lucia Internal Course Profile
Semester 2, 2016 (25/07/2016 - 19/11/2016) St Lucia Internal Course Profile
Summer Semester, 2016 (28/11/2016 - 11/02/2017) St Lucia Internal Course Profile