\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Streamlining applications of integration by parts in teaching applied calculus

Academic Editor: Gaifang Dong

Abstract Full Text(HTML) Related Papers Cited by
  • Integration by parts can be applied in various ways for obtaining solutions for different types of integrations and hence it is taught in all calculus courses in the world. However, the coverage and discourse of various applications of integration by parts in most textbooks, often packed into one section, lack a cohesion of progression for solving different types of integrals. Students may be confused by such incohesive presentation of the method and applications in the textbooks. Based on the author's experiences and practices in teaching applied calculus for undergraduate engineering and education students since 2013, a streamlined approach in teaching integration by parts has been gradually developed to the current state and ready to be shared with the mathematics teaching and learning communities. This streamlined approach allows integration by parts to be applied to solve complicated and integrated problems in a progressive way so that students can improve efficacy in their use of integration by parts gradually. This approach also makes communications easier with students on particular problems involving integration by parts.

    Citation:

    \begin{equation} \\ \end{equation}
  • 加载中
  • [1]

    Guo, W., Unification of the common methods for solving the first-order linear ordinary differential equations. STEM Education, 2021, 1(2): 127‒140. https://doi.org/10.3934/steme.2021010

    doi: 10.3934/steme.2021010.

    [2] Zill, D.G., A First Course in Differential Equations with Modeling Applications, 10th ed. 2013, Boston, USA: Cengage Learning.
    [3] Kreyszig, E., Advanced Engineering Mathematics, 10th ed. 2011, USA: Wiley.
    [4] Croft, A., Davison, R., Hargreaves, M. and Flint J., Engineering Mathematics, 5th ed. 2017, Harlow, UK: Pearson.
    [5] Stewart, J., Calculus: Concepts and Contexts, 4th ed. 2019. USA: Cengage.
    [6] Trim, D., Calculus for Engineers. 4th ed. 2008, Toronto, Canada: Pearson.
    [7] Guo, W.W., Essentials and Examples of Applied Mathematics. 2018, Melbourne, Australia: Pearson.
    [8]

    Massingham, P. and Herrington, T., Does attendance matter? An examination of student attitudes, participation, performance and attendance. Journal of University Teaching and Learning Practice, 2006, 3: 82–103. https://doi.org/10.53761/1.3.2.3

    doi: 10.53761/1.3.2.3.

    [9]

    Henry, M.A., Shorter, S., Charkoudian, L., Heemstra, L.M. and Corwin, L.A., FAIL is not a four-letter word: A theoretical framework for exploring undergraduate students' approaches to academic challenge and responses to failure in STEM learning environments. CBE Life Sciences Education, 2019, 18: 1–17. https://doi.org/10.1187/cbe.18-06-0108

    doi: 10.1187/cbe.18-06-0108.

    [10]

    Guo, W., Li, W. and Tisdell, C.C., Effective pedagogy of guiding undergraduate engineering students solving first-order ordinary differential equations. Mathematics, 2021, 9(14):1623. https://doi.org/10.3390/math9141623

    doi: 10.3390/math9141623.

  • 加载中
Open Access Under a Creative Commons license
SHARE

Article Metrics

HTML views(1298) PDF downloads(158) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return