MA1100

MA1100 Foundation Mathematics I

Part I

Course Duration: One semester
Credit Units: 3
Level: B1
Medium of Instruction: English
Prerequisites:
(i) HKDSE Mathematics Compulsory Part, or
(ii) HKDSE Mathematics Compulsory Part and Extended Part Module 1, or equivalent

Notes to Students: Students with HKDSE Mathematics Extended Part Module 2 are required to take MA1200 or MA1300 instead.
Precursors: Nil
Equivalent Courses: Nil
Exclusive Courses:
MA1200 ,
MA1300

Part II

Course Aims
This is the first of two required courses designed for students pursuing studies in computer science, life sciences, chemical sciences or building/construction. It aims to

introduce basic concepts and techniques from differential calculus,
explain elementary concepts of probability, and
provide students with essential mathematical training for practical applications.

Course Intended Learning Outcomes (CILOs)
Upon successful completion of this course, students should be able to:

No.	CILOs	Weighting (if applicable)
1.	describe properties of functions and manipulate expressions involving standard functions, including exponential, logarithmic and trigonometric functions.	2
2.	explain concepts of limit, continuity and derivatives of functions.	1
3.	perform techniques of differentiation to obtain derivatives and Taylor series expansions of functions.	3
4.	perform techniques of integration to evaluate integrals of functions..	4
5.	implement methods of single variable calculus to a range of physical and geometric applications.	3

Teaching and Learning Activities (TLAs)
Indicative of likely activities and tasks students will undertake to learn in this course. Final details will be provided to students in their first week of attendance in this course.

TLAs
ILO No. Hours/week
Learning through teaching is primarily based on lectures.
1 – 5
39 hours in total
Learning through tutorials is primarily based on interactive problem solving allowing instant feedback.
1
2 hours in total
2
1 hour in total
3
3 hours in total
4
4 hours in total
5
3 hours in total
Learning through take-home assignments helps students implement basic concepts and properties of functions, techniques of differential and integral calculus, as well as apply mathematical methods to diverse applications.
1 – 5
after class
Learning through online examples for applications helps students apply methods of single variable calculus to practical problems in science and engineering.
5
after class
Learning activities in Math Help Centre provides students extra assistance in study.
1 – 5
after-class,
depending on need

Assessment Tasks/Activities
(Indicative of likely activities and tasks designed to assess how well the students achieve the CILOs. Final details will be provided to students in their first week of attendance in this course)

30% Coursework
70% Examination (Duration: 2 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.

Assessment Tasks/Activities	ILO No.	Weighting(if applicable)	Remarks
Quizzes/Test(s)	1 – 5	15 – 30%	Questions are designed to see how well students have learned basic concepts of functions as well as techniques and applications of single variable calculus. These assessment tasks monitor students’ progress and reveal gaps in knowledge.
Hand-in assignment(s)	1 – 5	0 – 15%	These are skills based assessment to see whether students are familiar with properties of functions, techniques of differential and integral calculus, as well as mathematical and physical applications of calculus.
Examination	1 – 5	70%	Examination questions are designed to see how far students have achieved their intended learning outcomes. Questions will primarily be skills based to assess the extent to which students have mastered methods of the course and synthesized mathematical knowledge in practical applications.

Grading of Student Achievement: Refer to Grading of Courses in the Academic Regulations

A−, A, A+

To achieve a grade of A, a student should

have complete, or close to complete, mastery of all of the core components (CILOs 1 – 4),

and have demonstrated high levels of fluency in mathematical writing and synthesis of core components, as evidenced by the successful use of mathematical techniques in applications (CILO 5).

B−, B, B+

To achieve a grade of B, a student should

have good or very good mastery of all of the core components (CILOs 1 – 4),

and have demonstrated good to very good levels of fluency in mathematical writing and synthesis of core components in applications (CILO 5).

C−, C, C+

To achieve a grade of C, a student should have good working knowledge

of all of the core components of the course (CILOs 1 – 4);

or, alternatively, of most of the core components of the course together with some demonstrated ability to synthesise them in applications (CILO 5).

To achieve a grade of D, a student should have some working knowledge

of most of the core components of the course (CILOs 1 – 4);

or, alternatively, of some of the core components of the course together with some demonstrated ability to synthesise them in at least an application (CILO 5).

Part III

Keyword Syllabus
A)        Functions; Intuitive concepts of limits, continuity and derivatives
B)        Techniques of differentiation, implicit and logarithmic differentiation; Successive
          differentiation
C)      Applications of differentiation: rate of change, local extrema, optimization problems,
         Taylor series, l’Hôpital rule
D)         Basic probability