Wanmin Liu

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Back to School mathematics teaching

This is my webpage for university-level mathematics teaching.

I have taught mathematics at universities in Sweden, Hong Kong and China, including courses in calculus, linear algebra, differential equations, differential geometry and algebraic geometry. Here I collect selected teaching notes and a record of my university teaching.

Current Teaching

Chalmers University of Technology

• MVE375 Matematik, undervisning och bedömning, 2026–2027.

Selected Teaching Notes

Calculus

• Derivator (PDF)

• Integraler och Sammanfattning av integraler

• SF1673 Analys i en variabel, KTH

• SF1625 Single Variable Calculus, KTH

Differential Equations

• SF1692 Ordinary Differential Equations, KTH: Lecture 2 and Lecture 3

• SF1682 Analytical and Numerical Methods for Differential Equations, KTH

Calculus in Several Variables

• SF1626 Calculus in Several Variables (Flervariabelanalys), KTH

  • Notes for Module 1: 3-dimensional geometry and functions of several variables
  • Notes for Module 2: Partial derivatives and linear approximation
  • Notes for Module 4: Integrals
  • Notes for Module 5: Curve and surface integrals
  • Notes for Module 6: Vector analysis

Differential Geometry

• 1MA011 Differential Geometry of Curves and Surfaces, Uppsala University – Lecture Notes, 2019

University Teaching Experience

KTH Royal Institute of Technology

Wanmin Liu’s KTH profile

• Fall 2024. Substitute lecturer for Analytical and Numerical Methods for Ordinary Differential Equations (SF1692), Lectures 2–3. Teaching language: Swedish.

• Fall 2024. Teaching Assistant for Analys i en variabel (SF1673), exercises 1–5. Teaching language: Swedish.

• Fall 2023. Substitute lecturer for Single Variable Calculus (SF1625), Lectures 12–21.

• Fall 2023. Substitute lecturer for Analytical and Numerical Methods for Differential Equations (SF1682), Lectures 1–6.

• Fall 2023. Teaching Assistant for Analys i en variabel (SF1673).

• Spring 2023, Period 4. Teaching Assistant for Flervariabelanalys (SF1626) and Differentialekvationer (SF1633).

• Spring 2023, Period 3. Teaching Assistant for Flervariabelanalys (SF1626).

• Fall 2022, Period 2. Teaching Assistant for Algebra och geometri (SF1624).

• Fall 2022, Period 1. Teaching Assistant for Algebra och geometri (SF1624).

• Spring 2022. Teaching Assistant for Calculus in Several Variables (SF1626).

• Fall 2021. Teaching Assistant for Algebra och geometri (SF1624).

• Fall 2021. Teaching Assistant for Calculus in Several Variables (SF1686) and Basic Course in Mathematics (SF1690).

Uppsala University

• Fall 2020. Teaching Assistant for Linear Algebra II (1MA323), Master Programme in Electrical Engineering, year 3.

• Fall 2020. Teaching Assistant for Linear Algebra II (1MA323), Master Programme in Molecular Biotechnology Engineering, year 2.

• Spring 2020. Supervisor of a bachelor’s thesis:

  Patrik Deigård, Liouville’s equation on simply connected domains, Bachelor’s thesis, 58 pages, Uppsala University, June 2020. DiVA, id: diva2:1466472.

• Fall 2019. Lecturer and examiner for Differential Geometry of Curves and Surfaces (1MA011).

Hong Kong University of Science and Technology (HKUST)

All courses were taught in English.

• Fall 2012. Training to All New Teaching Assistants, Department of Mathematics, HKUST.

• Fall 2012. LaTeX Tutorial.

• Spring 2011. Ordinary Differential Equations.

• Fall 2010. Differential Geometry. I received the Best Teaching Assistant Award from the Department of Mathematics at HKUST in 2011 for this course.

• Fall 2009. Concept in Math.

• Fall 2009. Linear Algebra.

• Spring 2009. Analysis.

• Fall 2008. Differential Geometry.

• Spring 2008. Complex Analysis.

Lanzhou University

All courses were taught in Chinese.

• Fall 2004. Functional Analysis.

• Spring 2004. Differential Geometry.

Mini-courses and Lecture Series

• February 2017. Bridgeland Stability Conditions (I), (II), (III), 6-hour mini-course, Institute of Mathematical Sciences, CUHK.

• November 2015. Lectures on Bayer-Macrì’s Nef Line Bundle Theory I, II, two lectures, 4 hours, HKUST.

School Mathematics Teaching

I have also taught mathematics in Swedish at lower-secondary and upper-secondary schools. See my school mathematics teaching page for details.

Math Blog

Posts on mathematics and teaching

Selected Teaching Resources

I have found the following Swedish-language mathematics teaching channels very useful, and I would like to thank Lars Filipsson and Jonas Vikström for making their teaching videos freely available:

• Lars Filipsson
• Jonas Vikström

Last update on 09 September 2026.