MA1301Enhanced Calculus and Linear Algebra II

What you will study

Course overview and aims

This is the second of two required courses designed for students pursuing studies in mathematics, or engineering/science students requiring solid background in mathematics. It aims to • develop fluency in concepts and techniques from integral calculus, linear algebra and complex numbers, • introduce elementary theory of differential and integral calculus, and • foster skills in implementing methods of calculus and linear algebra to mathematical and physical applications.

Keyword syllabus

a. Definite and indefinite integrals; Techniques of integration, integration by substitution, integration by parts; Improper integrals b. Physical and geometric applications of integration c. Vectors in R² and R³; Scalar products, cross products, triple scalar products; Linear (in)dependence; Applications to equations of lines and planes d. Matrices; Determinants, cofactor expansion; Systems of linear equations, Gaussian elimination, Cramer’s rule; Matrix inverses, Gauss-Jordan elimination method e. Arithmetic of complex numbers; Polar and Euler forms; De Moivre’s theorem and its applications

Official PDF, page 5 · Keyword Syllabus

Intended learning outcomes

View learning outcomes

CILO	Intended learning outcome	Weight	DEC
1	explain elementary theory of differential and integral calculus.	15%	DEC-A1
2	perform techniques of integration to evaluate integrals of functions.	30%	DEC-A2
3	explain at high level concepts from vector and matrix algebra.	10%	DEC-A1
4	manipulate expressions and solve geometric problems with vector arithmetic.	10%	DEC-A2
5	implement techniques of matrix arithmetic and of solving linear systems.	15%	DEC-A2
6	perform operations and solve equations involving complex numbers.	10%	DEC-A2
7	develop mathematical models through calculus and linear algebra, and appropriately apply to problems in science and engineering.	10%	DEC-A1, DEC-A2, DEC-A3

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) MA1300 Enhanced Calculus and Linear Algebra I; or (ii) Grade B or above in MA1200 Calculus and Basic Linear Algebra I (approval from MA must be obtained)

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

MA1201 Calculus and Basic Linear Algebra II

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/MidtermCILO 1, 2, 3, 4, 5, 6, 7	21%	No	Questions are designed to see how well students have learned theory of calculus, techniques of integral calculus, as well as concepts and methods of linear algebra and complex numbers. These assessment tasks monitor students’ progress and reveal gaps in knowledge.
Hand-in assignment(s)CILO 1, 2, 3, 4, 5, 6, 7	9%	Yes	These are skills based assessment to see whether students are familiar with elementary theory of calculus as well as essential methods and applications of integral calculus, linear algebra and complex numbers.

Official PDF, page 4 · Assessment Tasks / Activities (ATs)

View the original assessment table and instructions

Quizzes/Test/Midterm | CILOs 1–7 | 21% | GenAI No; Hand-in assignment(s) | CILOs 1–7 | 9% | 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.