At a glance
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Duration
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IELTS
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Tuition / yr
en
Language
Bachelor's
Level
- 68Total lectures
- 33Total documents
- 3Credits
- 2014Course offering year
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.
Curriculum
The curriculum covers fundamental concepts in Linear Algebra, starting with matrices and systems of linear equations, and progressing to more abstract ideas like vector spaces.
- Part 1
- Basic Concepts on Matrices and Vectors
- System of Linear Equations
- Gaussian Elimination
- The language of set theory
- Span of a Set of Vectors
- Linear Dependence and Linear Independence
- Matrix Multiplication
- Invertibility and Elementary Matrices
- Column Correspondence Theorem
- The Inverse of a Matrix
- Linear Transformations and Matrices
- Composition and Invertibility of Linear Transformations
- Determinants
- Subspaces and their properties
- Basis and DimensionⅠ
- The Dimension of Subspaces associated with a Matrix
- Coordinate Systems
- Matrix Representations of Linear OperatorsⅠ
- Eigenvalues, Eigenvectors, and Diagonalization
- The Characteristic Polynomial
- Diagonalization of Matrices
- Part 2
- The Geometry of Vectors Dot Product
- Orthogonal Vectors
- Orthogonal Projections
- Least Squares Approximations and Orthogonal Projection Matrices
- Orthogonal Matrices and Operators
- Symmetric Matrices
- Vector Spaces and Their Subspaces
- Linear Transformation
- Basis and DimensionⅡ
- Matrix Representations of Linear OperatorsⅡ
- The Matrix Representations of the Inverse of an Invertible Linear Operator
- Eigenvalues and Eigenvectors of a Matrix Representations of a Linear Operator
- Inner Product Spaces
Careers
A strong foundation in Linear Algebra is crucial for various fields, enabling graduates to pursue careers in areas that require quantitative analysis, problem-solving, and computational skills.
- Data Scientist
- Software Engineer
- Financial Analyst
- Operations Researcher
- Machine Learning Engineer
- Computer Vision Engineer
- Quantitative Analyst
Frequently asked questions
- What are the entry requirements for this programme?
- Applicants must demonstrate English proficiency, typically at the CEFR B2 (Vantage) level or above. Waivers are available for applicants from English-speaking countries or those who have completed a degree taught in English, with required proof.
- What is the tuition and cost of living?
- Tuition fees for this course are not specified. The estimated cost of living per semester is NT$84,000 – 113,000, covering books, housing, insurance, and general expenses.
- How long does the programme take?
- The programme content is divided into two parts, suggesting a two-year structure, with specific modules outlined for each part. The exact duration for degree completion is not explicitly stated.
- What are the application deadlines?
- For September entry, the first round application deadline is November 13, 2025, and the second round deadline is January 15, 2026. For February entry, the application deadline is September 18, 2025.
- What are the career prospects after completing this programme?
- Graduates are well-prepared for roles such as Data Scientist, Software Engineer, Financial Analyst, Operations Researcher, and Machine Learning Engineer, due to the quantitative and computational skills developed.
- Are there any scholarships available?
- Yes, the Taiwan Government Scholarships and the NTU Scholarship are available. Details on how to apply for these vary, and applicants should refer to the university's international admissions and student services websites.
Entry requirements
Bachelor's DegreeRequired for Master's programs. Assumed for Bachelor's level, though not explicitly stated for this specific course.
CEFRB2 (Vantage) or above
English proficiency requirements are waived for applicants from English-speaking countries, or those who have completed a previous degree in an English-speaking country or where the degree was conducted in English (proof required). The list of English-speaking countries is provided in the application information.
Fees
Tuition (international)Not specified for this course.
Tuition (home)Not specified for this course.
LivingEstimated NT$84,000 – 113,000 per semester (excluding tuition and fees). This includes books, housing, insurance (for degree students), and general living expenses.
Exchange rate used: USD 1 = NTD 30. Tuition and fees are separate from the cost of living estimate.
How to apply
1. Check EligibilityEnsure you meet the general eligibility requirements, including academic qualifications and English proficiency. Specific program requirements may differ.
2. Prepare Required DocumentsGather all necessary documents, which typically include your highest degree's graduation certificate and transcript (with English/Chinese translations if needed), autobiography/CV, study plan, English proficiency certificate, recommendation letters, financial statement, and passport.
3. Complete Online ApplicationSubmit your application through the university's online admissions portal by the specified deadlines.
4. Pay Application FeePay the required application fee (e.g., NTD 2,000 for international students) and submit the payment receipt.
5. Submit Additional DocumentsUpload or submit any additional supporting materials as requested, such as academic honors, working experience, or specific program-related documents.
Scholarships
Taiwan Government ScholarshipsVaries
NTU ScholarshipVaries
Accreditation
National Taiwan University is accredited by relevant national and international bodies, ensuring the quality of its academic programs.
Frequently asked questions
What are the entry requirements for this programme?
+
Applicants must demonstrate English proficiency, typically at the CEFR B2 (Vantage) level or above. Waivers are available for applicants from English-speaking countries or those who have completed a degree taught in English, with required proof.
What is the tuition and cost of living?
+
Tuition fees for this course are not specified. The estimated cost of living per semester is NT$84,000 – 113,000, covering books, housing, insurance, and general expenses.
How long does the programme take?
+
The programme content is divided into two parts, suggesting a two-year structure, with specific modules outlined for each part. The exact duration for degree completion is not explicitly stated.
What are the application deadlines?
+
For September entry, the first round application deadline is November 13, 2025, and the second round deadline is January 15, 2026. For February entry, the application deadline is September 18, 2025.
What are the career prospects after completing this programme?
+
Graduates are well-prepared for roles such as Data Scientist, Software Engineer, Financial Analyst, Operations Researcher, and Machine Learning Engineer, due to the quantitative and computational skills developed.
Are there any scholarships available?
+
Yes, the Taiwan Government Scholarships and the NTU Scholarship are available. Details on how to apply for these vary, and applicants should refer to the university's international admissions and student services websites.