Mathematics & Statistics in Taiwan
Taiwan offers 6 English-taught Mathematics & Statistics programmes across 2 prestigious universities: National Taiwan University and National Tsing Hua University. Both are flagship research universities with strong mathematics departments and a track record of producing graduates who proceed to doctoral study at leading institutions worldwide.
Tuition costs vary by programme — prospective students should review individual listings for current fee details. Government scholarships such as the Taiwan Scholarship and MOFA Taiwan Fellowship are often available to international applicants, making Taiwan a cost-effective destination for advanced study in mathematical sciences.
Calculus (微積分)
National Taiwan University (NTU) offers a Calculus course designed to provide students with a foundational understanding of mathematical principles essential for various scientific and engineering disciplines. The course covers key concepts such as functions, limits, derivatives, integrals, and series, along with their applications. It aims to develop analytical and problem-solving skills through lectures, practice problems, and resource materials.
Calculus I
This course delves into the fundamental concepts of Calculus, exploring the relationship between numbers and shapes that is central to mathematics. It covers the historical development of calculus from ancient practical needs to its formalization by Newton and Leibniz, and its subsequent applications in various scientific fields. The course aims to provide a comprehensive understanding of calculus as the study of continuous quantities, emphasizing its logical foundation and connection to intuitive ideas. It addresses key areas such as sequences and series convergence, the behavior of functions, and the rigorous definitions of limits and continuity. The curriculum is designed to build a solid logical basis for mathematical analysis, enabling students to grasp complex mathematical objects and concepts through a constructive approach. Compared to introductory calculus courses that focus more on intuitive geometric and algebraic reasoning, this course emphasizes clarifying the crucial points often bypassed in simpler treatments. It bridges the gap between rigorous logical methods and intuitive understanding, while still including practical examples and problem-solving.
Department of Mathematics - National Tsing Hua University
The Master of Science program in Mathematics at National Tsing Hua University (NTHU) offers advanced studies in various mathematical fields. Students engage with rigorous coursework and research opportunities under the guidance of distinguished faculty. The program aims to cultivate independent thinking and problem-solving skills, preparing graduates for diverse academic and professional paths.
Linear Algebra
This introductory course focuses on Linear Algebra, a mathematical tool with Vector Space as its core concept. Linear Algebra has broad applications and is highly recommended for undergraduate students in science, engineering, and business fields as a foundation for future professional applications. The course begins with familiar concepts like matrices and systems of linear equations to ease students into the more abstract principles of vector spaces.
Real Analysis
This course, Real Analysis, delves into advanced mathematical concepts, building upon foundational knowledge of calculus. It is designed for students seeking a deeper understanding of mathematical theory and its applications. The curriculum covers key areas such as differentiation and integration of real variables, functions of bounded variation, and absolutely continuous functions. It also explores advanced topics like product measures, the change of variables formula in Euclidean space, and applications to potential integrals. Further topics include linear analysis, Hilbert spaces, L^p spaces, Fourier integrals, and Sobolev spaces, with a focus on their applications to the regularity of weak solutions of partial differential equations. Elements of probability theory are also integrated into the course.
微積分二 - Calculus (II)
This course, Calculus (II), is a continuation of Calculus (I) from the previous semester. It delves into the exploration of numbers and shapes, which are fundamental to various scientific and quantitative fields. The course traces the historical development of calculus from ancient methods of calculating areas to its formalization by Newton and Leibniz in the 17th century. It emphasizes the interrelationship between differentiation and integration through the Fundamental Theorem of Calculus, providing tools to solve complex problems. The curriculum covers advancements in calculus made by mathematicians like the Bernoulli family, Euler, and Lagrange, highlighting their applications in physics and engineering. It also addresses the rigor introduced in the 18th and 19th centuries by mathematicians such as Cauchy, Dirichlet, Riemann, and Weierstrass, who sought to solidify calculus's logical foundations. This period saw the development of modern set theory by Cantor, which provides a framework for rigorously defining concepts like limits, continuity, and real numbers. Unlike introductory calculus courses (Calculus I & II), this course (often referred to as Math Calculus) focuses on clarifying key concepts that are often treated intuitively in other courses. It bridges the gap between rigorous logical treatment and intuitive understanding, while still including practical examples, though potentially fewer than in more introductory courses. The aim is to provide a glimpse into the foundational logic underpinning modern mathematical analysis.
Frequently asked questions
How many Mathematics & Statistics programmes are available in Taiwan?
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6 English-taught Mathematics & Statistics programmes are listed across 2 universities in Taiwan.
Which universities offer Mathematics & Statistics programmes in Taiwan?
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National Taiwan University and National Tsing Hua University offer these programmes.
How much does it cost to study Mathematics & Statistics in Taiwan?
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Tuition varies by programme — check each listing for current fee details; government scholarships are often available.
Can international students apply for Mathematics & Statistics programmes in Taiwan?
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Yes, both universities accept international applicants; Taiwan Scholarship and MOFA Fellowship funding may be available.
What are the entry requirements for Mathematics & Statistics programmes in Taiwan?
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Requirements typically include a strong undergraduate degree in mathematics or a related field, English proficiency evidence, and a research statement for postgraduate programmes.