# BDIC1031J Maths (Engineering) 3

## Academic Year 2024/2025

This is the third module of calculus. The main contents include infinite series ( convergence Test ,absolutely /conditionally convergence, power series, Taylor series, Maclaurin series ,binomial series ,Fourier Series.) and analytic Geometry ( plane , line , curves in space, functions with two independent variables and surfaces including cone, cylinder, surface of revolution, quadratic surfaces).
Students can cultivate logical thinking and special imagination as well as ability of problem-solving.

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Curricular information is subject to change

Learning Outcomes:

Students are expected to achieve the following competence:
1. Using properties of series to judge its convergence
2. Convergence Tests with respect to series with constant positive terms
3. Alternating series Test
4. Absolute convergence and Ratio Test and Root Test
5. Power series
6. Taylor series and its applications in estimations
7. Fourier series and its convergence
8. Planes and lines in Space
9. Functions with two independent variables and Surfaces (cylinders\cones\quadric surfaces\surfaces of revolution)
10. Space curves

Indicative Module Content:

week 1. Properties of series and its convergence
week 2. Convergence Tests with respect to series with constant positive terms
week 3. Alternating series Test/ Absolute convergence and Ratio Test and Root Test
week 4. Power series
week 5 Taylor series and its applications in estimations
week 6. Fourier series and its convergence
week 7. Planes and lines in Space
week 8. Functions with two independent variables and Surfaces (cylinders\cones\quadric surfaces\surfaces of revolution)\
Space curves

Student Effort Hours:
Student Effort Type Hours
Lectures

32

Tutorial

16

Autonomous Student Learning

48

Online Learning

34

Total

130

Approaches to Teaching and Learning:
Key teaching approach is face-to-face lectures as well as tutorial classes. At the same time, we encourage peer instructions and team work with discussions. Study on-line by watching Mooc of Chinese Universities is also a wonderful way to learn this course in advance.

Requirements, Exclusions and Recommendations

Not applicable to this module.

Module Requisites and Incompatibles
Additional Information:
This module is delivered overseas and is not available to students based at the UCD Belfield or UCD Blackrock campuses

Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Exam (In-person): 2 hour final exam Week 15 Graded Yes

100

Yes

Carry forward of passed components
No

Resit In Terminal Exam
Summer Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing.
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
• Online automated feedback

How will my Feedback be Delivered?

The performance with respect to the assignments will be feedback individually to the students every week. And an on-line feedback will also be given when Teaching Assistants or lecturer tutor on-line. Sometimes, if there is team work, group feedback will be given.

Name Role
Enchang Sun Tutor
Wenying Wu Tutor