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City University of Hong Kong · Course

MA2001Multi-variable Calculus and Linear Algebra

2026/27 · Undergraduate

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Course code
MA2001
Credit units
3
Academic unit
Department of Mathematics
Readable study materials
72 items

Course overview and requirements

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2026/27 · Official catalogue edition

The effective term printed in this PDF is Semester A 2025/26。

Offering details for 2026/27 have not been checked. Confirm available sections in AIMS before registering.

What you will study

Course overview and aims
This course aims to introduce important ideas in Linear Algebra and Advanced Calculus necessary for an understanding of their application to Science and Engineering. It will help students develop the ability to think quantitatively and analyse problems critically.
Keyword syllabus
Linear Algebra (3 weeks): Orthogonality; Eigenvalues and eigenvectors; Eigenvalue decompositions. Multi-variable Calculus (10 weeks): Functions of several variables; Partial differentiation; Multi-variable Taylor series; Multiple integration; Gradient, divergence and curl; Line and surface integrals; Theorems of Gauss, Stokes and Green.

Official PDF, page 7 · Keyword Syllabus

Intended learning outcomes
View learning outcomes
CILOIntended learning outcomeWeightDEC
1explain clearly mathematical concepts from linear algebra, and advanced calculus.10%DEC-A1, DEC-A2
2compute eigenvalues and eigenvectors of matrices and implement eigenvalue decompositions.20%DEC-A1, DEC-A2
3evaluate partial derivatives, local extrema and Taylor series of multivariate functions.30%DEC-A1, DEC-A2, DEC-A3
4evaluate multiple integrals, line and surface integrals, and perform the theorems of Green, Divergence and Stokes.30%DEC-A1, DEC-A2, DEC-A3
5apply mathematical and computational methods to a range of applications involving linear algebra and multi-variable calculus.10%DEC-A1, DEC-A2, DEC-A3

Official PDF, page 2 · Course Intended Learning Outcomes (CILOs)

Before you take this course

Check prerequisites, precursors and corequisites separately, together with equivalence and exclusion conditions. “and” means conditions must be met together; “or” marks alternatives. Read combined conditions in the groupings shown in the original text below.

Prerequisites
MA1201 Calculus and Basic Linear Algebra II / MA1301 Enhanced Calculus and Linear Algebra II; or equivalent
Precursors
Nil
Corequisites
This edition of the official syllabus does not state this item.
Additional course requirements
This edition of the official syllabus does not state this item.
Equivalent courses and conditions
Nil
Exclusive courses and conditions
MA2158 Linear Algebra and Calculus

Assessment and passing the course

Assessment
Continuous assessment: 30%; Examination: 70%; Examination duration: 2 hours

Assessment breakdown

Assessment taskWeightGenerative AIRemarks and restrictions
Test/MidtermCILO 1, 2, 3, 420%NoQuestions are designed for the first part of the course to see how well the students have learned concepts and techniques of linear algebra and multi-variable calculus.
Hand-in assignments (Quizzes +WeBWorK)CILO 1, 2, 3, 4, 54%YesThese are skills based assessment to help students demonstrate advanced concepts and techniques of linear algebra, multi-variable calculus and some applications in science and engineering.
Formative take-home assignmentsCILO 1, 2, 3, 4, 56%YesThe assignments provide students’ chances to demonstrate their achievements on linear algebra and multi-variable calculus learned in this course.

Official PDF, page 4 · Assessment Tasks / Activities (ATs)

View the original assessment table and instructions
Test/Midterm | CILOs 1–4 | 20% | GenAI No. Hand-in assignments (Quizzes +WeBWorK) | CILOs 1–5 | 4% | GenAI Yes. Formative take-home assignments | CILOs 1–5 | 6% | GenAI Yes.
Passing requirements
30% Coursework 70% Examination (Duration: 2 hours, at the end of the semester) For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.
Credits, duration and edition details
Title in this edition
Multi-variable Calculus and Linear Algebra
Credits in this edition
3
Course duration
One Semester
Syllabus effective term
Semester A 2025/26
Levels printed in the syllabus
B1, B2, B3, B4 - Bachelor's Degree

Check the official document

Read or download this edition through the university link below. MA2001 · Open the original university PDF ↗

Source · University course information ↗ · Checked 2026-10-18

Study materials

72 readable items

Browse by the material’s own year and type. Historical materials are study references.

40 / 72 items

  • MA2001_2324A_Ch0_slides

    Lecture slides · 2023-2024 Semester A · Local review material · 686 KB

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  • MA2001_2324A_Ch1_slides

    Lecture slides · 2023-2024 Semester A · Local review material · 1.7 MB

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  • MA2001_2324A_Ch2_PartA_slides

    Lecture slides · 2023-2024 Semester A · Local review material · 1.1 MB

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  • MA2001_2324A_Ch2_PartB_slides

    Lecture slides · 2023-2024 Semester A · Local review material · 1.4 MB

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  • MA2001_2324A_Ch3_slides

    Lecture slides · 2023-2024 Semester A · Local review material · 966 KB

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  • MA2001_2324A_Ch4_slides2

    Lecture slides · 2023-2024 Semester A · Local review material · 16.7 MB

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  • MA2001_2324A_Test_CA1_sol

    Solutions · 3 November 2023 · 2023-2024 Semester A · Local review material · 220 KB

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  • MA2001_2324A_Test_CB1_sol

    Solutions · 3 November 2023 · 2023-2024 Semester A · Local review material · 215 KB

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  • MA2001_2324A_THAss1

    Assignments · 2023-2024 Semester A · Local review material · 68 KB

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  • MA2001_2324A_THAss2

    Assignments · 2023-2024 Semester A · Local review material · 134 KB

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  • MA2001_2324A_THAss3

    Assignments · 2023-2024 Semester A · Local review material · 71 KB

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  • MA2001_Quiz1_CA1_sol

    Solutions · 2023-2024 Semester A · Local review material · 448 KB

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  • MA2001_Quiz1_CB1_sol

    Solutions · 2023-2024 Semester A · Local review material · 457 KB

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  • MA2001_Quiz2_CA1_sol

    Solutions · 2023-2024 Semester A · Local review material · 506 KB

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  • MA2001_Quiz2_CB1_sol

    Solutions · 2023-2024 Semester A · Local review material · 507 KB

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  • Chapter_1__内容不同_84ae5c1a91

    Other · 2020-2021 Term unknown (year label from the original folder) · Local review material · 324 KB

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  • chapter_2

    Other · 2020-2021 Term unknown (year label from the original folder) · Local review material · 608 KB

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  • Chapter5__内容不同_e9c5af0e2e

    Other · 2020-2021 Term unknown (year label from the original folder) · Local review material · 690 KB

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  • chp4

    Other · 2020-2021 Term unknown (year label from the original folder) · Local review material · 271 KB

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  • Supplementary Notes on Eigenvalues and Eigenvectors__内容不同_70cfcba6fa

    Notes · 2020-2021 Term unknown (year label from the original folder) · Local review material · 89 KB

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  • Take-Home-Assign_3-2021B_Ans

    Solutions · 2020-2021 Term unknown (year label from the original folder) · Local review material · 6.0 MB

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  • Chapter_02_Differential_Calculus_Of_Multivariable_Functions

    Lecture slides · 2018-2019 Term unknown (year label from the original folder) · Local review material · 1.2 MB

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  • Chapter_03_MultipleInt

    Lecture slides · 2018-2019 Term unknown (year label from the original folder) · Local review material · 663 KB

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  • Chapter_04_VectorDiff

    Lecture slides · 2018-2019 Term unknown (year label from the original folder) · Local review material · 548 KB

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  • Chapter_05_VectorInt

    Lecture slides · 2018-2019 Term unknown (year label from the original folder) · Local review material · 972 KB

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  • Chp03_Exercise_MultipleInt

    Assignments · 2018-2019 Term unknown (year label from the original folder) · Local review material · 49 KB

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  • Chp03_Exercise_MultipleInt_Sol

    Solutions · 2018-2019 Term unknown (year label from the original folder) · Local review material · 144 KB

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  • Chp04_Exercise_VectorDiff

    Assignments · 2018-2019 Term unknown (year label from the original folder) · Local review material · 69 KB

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  • Chp04_Exercise_VectorDiff_Sol

    Solutions · 2018-2019 Term unknown (year label from the original folder) · Local review material · 181 KB

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  • Chp05_Exercise_VectorInt_LineIntegral

    Tutorials · 2018-2019 Term unknown (year label from the original folder) · Local review material · 48 KB

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  • Chp05_Exercise_VectorInt_LineIntegral_Sol

    Solutions · 2018-2019 Term unknown (year label from the original folder) · Local review material · 110 KB

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  • Chp05_Exercise_VectorInt_SurfaceIntegral

    Assignments · 2018-2019 Term unknown (year label from the original folder) · Local review material · 152 KB

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  • Chp05_Exercise_VectorInt_SurfaceIntegral_Sol

    Solutions · 2018-2019 Term unknown (year label from the original folder) · Local review material · 291 KB

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  • quiz1_sol

    Solutions · 2018-2019 Term unknown (year label from the original folder) · Local review material · 90 KB

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  • Quiz2_MA2001_1819_A_Sol

    Solutions · 2018-2019 Term unknown (year label from the original folder) · Local review material · 298 KB

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  • 特征值与特征向量

    Lecture slides · 2018-2019 Term unknown (year label from the original folder) · Local review material · 4.5 MB

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  • 20172018A-MA2001_Test 1_SOL

    Solutions · 2017-2018 Semester A · Local review material · 592 KB

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  • 20172018A-MA2001_Test 2_Hints

    Tutorials · 2017-2018 Semester A · Local review material · 369 KB

    Hints for solving the problems.

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  • 20172018A-MA2001_Test 2_SOL

    Solutions · 2017-2018 Semester A · Local review material · 478 KB

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  • Quiz1_MA2001_1718_A_Sol

    Solutions · 2017-2018 Semester A · Local review material · 321 KB

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