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MATH 1023 is recommended for:

students with strong interest in mathematics,
students who plan to enroll in the Pure Mathematics or Pure Mathematics (Advanced) tracks in the Math program, or
students who aspire to pursue postgraduate studies in pure/applied mathematics, statistics, and related fields.
Students are expected to learn the fundamental concepts of differentiations and limit of sequences using rigorous “epsilon-delta approach”. Students will also be trained to write logical and coherent mathematical proofs.

Minimum prerequisite is Level 5 or above in HKDSE Mathematics Module 2. Students with other qualifications such as JEE, IB, GCEAL, etc. should consult the instructor / UG Coordinator about the recommended prerequisites before taking this course.

MATH 1024 is the continuation of MATH 1023. It covers integrations and infinite series using rigorous approaches. It begins with the formal definition of Riemann integrals, followed by a formal proof of Newton-Leibniz formula. It then covers various integration techniques including integration by parts, by substitutions, and reduction formulae. At the discretion of instructors, some deeper topics such as the irrationality of pi, integral remainder of Taylor series, rectifiable curves, etc. will also be included. The infinite series chapter will cover both applications and formal proofs of various convergence tests.

Students in MATH 1024 are assumed to have acquired the knowledge about vectors and matrices at the level equivalent to HKDSE M2. Therefore, instead of covering vectors in the last chapter, other deeper topics such as Fourier series, isoperimetric inequality, etc. will be covered at the end of the course.