Higher Mathematics Syllabus & Past Papers
Organized to mirror the National Postgraduate Entrance Examination Mathematics syllabus: functions, limits, continuity, single- and multivariable calculus, infinite series, and spatial analytic geometry. Use the menu to jump into the chapter you need; each section emphasizes exam readiness with concise theory and practice.
Chapters
课程路线图
- 1
Exploring Functions in Advanced Mathematics
先修课程Functions are a core idea of advanced mathematics. This course walks through foundational concepts, key properties, and classic constants so you can read, reason, and compute with confidence.
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The World of Limits in Advanced Mathematics
先修课程Limits are the foundation of calculus and one of the most important ideas in advanced mathematics.
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Higher Mathematics Syllabus & Past Papers
当前课程Explore functions, limits, calculus, and series with a focus on the postgraduate entrance exam syllabus and past papers.
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More courses
Continuity In Advanced Calculus
A focused guide on continuity: core definitions, types of discontinuities, and continuity of elementary functions.
Differential Calculus Of One Variable
A complete study path for derivatives, linear approximations, extrema, and classic theorems that power single-variable calculus.
Exploring Functions In Advanced Mathematics
Functions are a core idea of advanced mathematics. This course walks through foundational concepts, key properties, and classic constants so you can read, reason, and compute with confidence.
Higher Mathematics Syllabus & Past Papers
Explore functions, limits, calculus, and series with a focus on the postgraduate entrance exam syllabus and past papers.
Infinite Series
Explore convergence tests, summation, power-series expansions, and applications.
Linear Algebra
Master determinants, matrices, vectors, systems of linear equations, eigenvalues, and quadratic forms, and understand the abstract structure of linear spaces.
Sequences
Sequences bridge discrete thinking and calculus. This track covers core definitions, limits, convergence, and classic models.
Probability And Mathematical Statistics
Study the laws of random phenomena, learn methods of data analysis and inference, and master the science of extracting information from data.
Recommended courses
Continuity In Advanced Calculus
A focused guide on continuity: core definitions, types of discontinuities, and continuity of elementary functions.
Data Structures
Homepage of the Data Structures course: Learn about logical and storage structures of data and their operations, laying a solid foundation for efficient programming.
Exploring Functions In Advanced Mathematics
Functions are a core idea of advanced mathematics. This course walks through foundational concepts, key properties, and classic constants so you can read, reason, and compute with confidence.
Higher Mathematics Syllabus & Past Papers
Explore functions, limits, calculus, and series with a focus on the postgraduate entrance exam syllabus and past papers.