BDIC1029J Maths (Engineering) 1

This module is the first module of calculus, about single-variable differential calculus. Calculus is one of the most fundamental courses of college mathematics. The main contents of this module include basics of functions, limits and continuity of single-variable functions, derivatives and differentials, rates of change, slopes of curves, Mean-Value Theorem etc , with applications in practice. By learning single-variable calculus, students should command basic concepts, elementary theory and methods, especially the main ideas of analytical mathematics, and learn the essentials of logical thinking, abstract imagination and detail.

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Curricular information is subject to change

Learning Outcomes:

Students are expected to achieve the following competence:
• Using the properties of functions to judge their features.
• Calculating limits of single-variable functions.
• Judging continuity of single-variable functions.
• Calculating derivatives of inverse and composite functions.
• Finding tangents to parametric curves.
• Using L’Hospital Rule to compute limits.
• Calculating higher order derivatives.
• Calculating Taylor expansion of a function.
• Applying Taylor expansions in error estimations.
• Calculating differentials.
• Applying differentials in approximated computations.
• Understanding and using the mean value theorem.

Indicative Module Content:

week 1 Basic concepts of functions and mapping, limits and continuity of functions.
week 2 Derivatives (with geometric interpretation), calculation of derivatives.
week 3 Chain rule, L’Hospital Rule.
week 4 Higher order derivatives, Taylor expansion (with applications in error estimation).
week 5 Differentials, with applications in approximated computations.
week 6 Optimization of single variable functions: local/global extreme (max/min).
week 7 The mean value theorem.

Student Effort Hours:
Student Effort Type Hours
Autonomous Student Learning

48

Lectures

32

Tutorial

16

Online Learning

34

Total

130

Approaches to Teaching and Learning:
This module is the first module of calculus, about single-variable differential calculus. Calculus is one of the most fundamental courses of college mathematics. The main contents of this module include basics of functions, limits and continuity of single-variable functions, derivatives and differentials, rates of change, slopes of curves, etc., with applications in practice. By learning single-variable calculus, students should command basic concepts, elementary theory and methods, especially the main ideas of analytical mathematics, and learn the essentials of logical thinking, abstract imagination and detail. The key teaching approach is giving lectures as well as tutorials in the class, at the same time, we will have on-line question-answer every week, still, we may have team-work when necessary.
Requirements, Exclusions and Recommendations

Not applicable to this module.

Module Requisites and Incompatibles
Equivalents:
Calculus (Engineering) I (BDIC1012J)

Assessment Strategy
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: This is a quiz in class, whenever needed. The quiz will take about 25 minutes or so. Unspecified No Standard conversion grade scale 40% No

20

Continuous Assessment: Attendance recording and tutorial participation Throughout the Trimester n/a Standard conversion grade scale 40% No

10

Examination: Final exam of 90 minutes of examination in the middle of the semester, i.e. at the end of the 48 teaching hours. Unspecified No Standard conversion grade scale 40% No

70

Carry forward of passed components
No

Remediation Type Remediation Timing
In-Module Resit Prior to relevant Programme Exam Board
Feedback Strategy/Strategies

• Feedback individually to students, on an activity or draft prior to summative assessment
• Feedback individually to students, post-assessment
• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Every week the assignments during this week will be checked and then feedback individually to students, and according to the performance, give corresponding marks . And the feedback will be given to the students by written, oral , e-mail, wechat, QQ and so on

Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.

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