MA1300Enhanced Calculus and Linear Algebra I

What you will study

Course overview and aims

This is the first of two required courses designed for students pursuing studies in mathematics, or engineering/science students requiring solid background in mathematics. It aims to • strengthen skills and methods essential for study of further mathematics, • develop fluency in concepts of limits and techniques of differential calculus, and • nurture skills in logical thinking and translation of ideas with formal mathematical language.

Keyword syllabus

• Polynomials; Mathematical induction • Functions and inverses • Limits of sequences and infinite series • Limits, continuity and differentiability of functions • Techniques of differentiation, implicit, logarithmic and parametric differentiation

Official PDF, page 6 · Keyword Syllabus

Intended learning outcomes

View learning outcomes

CILO	Intended learning outcome	Weight	DEC
1	implement mathematical methods of algebra, trigonometry and coordinate geometry proficiently.	16%	DEC-A2, DEC-A3
2	explain properties of functions and manipulate expressions involving standard functions and their inverses.	16%	DEC-A1, DEC-A3
3	apply concepts and theory of sequences to evaluate their limits.	20%	DEC-A1, DEC-A2
4	describe concepts on infinite series and test their convergence/divergence.	16%	DEC-A1
5	explain at high level concepts of limit, continuity and differentiability of functions.	16%	DEC-A1
6	perform techniques of differentiation to obtain derivatives of functions.	16%	DEC-A2

Official PDF, page 2 · Course Intended Learning Outcomes (CILOs)

Before you take this course

Check prerequisites, precursors and corequisites separately, together with equivalence and exclusion conditions. “and” means conditions must be met together; “or” marks alternatives. Read combined conditions in the groupings shown in the original text below.

Prerequisites

(i) HKDSE Mathematics Compulsory Part and Extended Part Module 1 (Level 5), or (ii) HKDSE Mathematics Compulsory Part and Extended Part Module 2 (Levels 3 ‒ 5); or equivalent

Precursors

Nil

Corequisites

This edition of the official syllabus does not state this item.

Additional course requirements

This edition of the official syllabus does not state this item.

Equivalent courses and conditions

MA1200 Calculus and Basic Linear Algebra I

Exclusive courses and conditions

MA1006 Calculus and Linear Algebra for Business MA1508 Calculus

Assessment and passing the course

Assessment

Continuous assessment: 30%; Examination: 70%; Examination duration: 3 hours

Assessment breakdown

Assessment task	Weight	Generative AI	Remarks and restrictions
Quizzes/Test(s)CILO 1, 2, 3, 4, 5, 6	20%	No	Questions are designed to see how well students have learned basic mathematical methods, concepts of functions, limits, continuity and differentiability, as well as techniques of differential calculus. These assessment tasks monitor students’ progress and reveal gaps in knowledge.
Hand-in assignment(s)CILO 1, 2, 3, 4, 5, 6	10%	Yes	These are skills based assessment to see whether students are familiar with essential mathematical techniques, properties of functions, theory and methods of limits of sequences and series as well as techniques of differential calculus.

Official PDF, pages 3–4 · Assessment Tasks / Activities (ATs)

View the original assessment table and instructions

Quizzes/Test(s) | CILOs 1–6 | 20% | GenAI No.

Hand-in assignment(s) | CILOs 1–6 | 10% | GenAI Yes.

Passing requirements

30% Coursework 70% Examination (Duration: 3 hours, at the end of the semester) For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.