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Curricular information is subject to change
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.
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 Type | Hours |
---|---|
Lectures | 32 |
Tutorial | 16 |
Autonomous Student Learning | 48 |
Online Learning | 34 |
Total | 130 |
Not applicable to this module.
Description | Timing | Component Scale | % 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 |
Remediation Type | Remediation Timing |
---|---|
In-Module Resit | Prior to relevant Programme Exam Board |
• Feedback individually to students, on an activity or draft prior to summative assessment
• Feedback individually to students, post-assessment
• Group/class feedback, post-assessment
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