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*Curricular information is subject to change*

Learning Outcomes:

On completion of this module the student should be able to:

Identify, define, graph, and generate examples of functions, especially polynomial, rational, trigonometric, exponential and logarithmic functions, and combinations of these;

Given a real-valued function, find the limit, derivative, and integral of it, if it exists;

Solve optimisation problems;

Apply techniques to problems in the physical sciences;

Identify, define, graph (if relevant), and generate examples of functions that are/are not continuous, differentiable, and integrable;

Describe and give examples of the relationships between continuous, differentiable, and integrable functions;

Work with formal definitions of the main concepts in the module;

Interrogate the statements of theorems presented, and be able to self-explain (validate) and summarise the proofs of theorems presented;

Decide on the veracity of statements presented on the main concepts, and provide a justification for your decision.

Continuity, differentiability, and integrability of real-valued functions.

Student Effort Hours:

Student Effort Type | Hours |
---|---|

Lectures | 30 |

Tutorial | 10 |

Specified Learning Activities | 24 |

Autonomous Student Learning | 40 |

Total | 104 |

Approaches to Teaching and Learning:

Short online videos; in-person lectures; and in-person weekly workshops supported by a postgraduate tutor and third and fourth year maths and applied maths students.

Short online videos; in-person lectures; and in-person weekly workshops supported by a postgraduate tutor and third and fourth year maths and applied maths students.

Requirements, Exclusions and Recommendations

H4 in Leaving Certificate Mathematics (or equivalent)

Module Requisites and Incompatibles

MATH10030 -

Diff & Integral Calc (MATH10060)

Assessment Strategy

Description | Timing | Component Scale | % of Final Grade | |||
---|---|---|---|---|---|---|

Continuous Assessment: There will be a tutorial each week. These marks are for engaging in a task in eight of these. | Throughout the Trimester | n/a | Standard conversion grade scale 40% | No | 10 |
No |

Continuous Assessment: Weekly quiz worth 5%. There will be at most 9 in total and a student's best six will be counted. | Throughout the Trimester | n/a | Standard conversion grade scale 40% | No | 30 |
No |

Examination: Final exam where all learning outcomes may be examined. | 2 hour End of Trimester Exam | No | Standard conversion grade scale 40% | No | 60 |
No |

Carry forward of passed components

No

No

Resit In | Terminal Exam |
---|---|

Spring | Yes - 2 Hour |

Feedback Strategy/Strategies

• Feedback individually to students, post-assessment

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Feedback on weekly quizzes will be provided in a number of ways. The mark will constitute summative feedback, however formative feedback will be provided as class feedback in lectures, and as online worked solutions. Any student who wants individual feedback can ask the tutor in the weekly workshop or the lecturer after any class.

Name | Role |
---|---|

Dr Rupert Levene | Tutor |

Ms Ciara Murphy | Tutor |