Module: Calculus

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Calculus
Module Code	MTH1088 (ITS) / MTH1088 (Banner)
Faculty	Science & Health	School	Mathematical Sciences
Module Co-ordinator	Sinead Breen
Module Teachers	-
NFQ level	8	Credit Rating	5
Pre-requisite	Not Available
Co-requisite	Not Available
Compatibles	Not Available
Incompatibles	Not Available

None

Description

This module adopts a mastery learning approach to a range of core skills in calculus. Students will be required to reach a threshold in four core areas: Equations and Inequalities; Derivatives; Applications of Differentiation; Integration. There will be instruction, workshops and tutorials in each of the four areas (c. 3 weeks for each) followed by an in-person, closed-book, online assessment. Students must retake these assessments until the threshold in all four is reached.

Learning Outcomes

1. Carry out a range of algebraic procedures (including solving equations and inequalities and constructing and interpreting graphs) related to a selection of elementary functions: linear, quadratic, rational, trigonometric, logarithmic and exponential functions, and algebraic combinations of these
2. Describe in outline form the concept of the derivative and evaluate derivatives by applying rules of differentiation to elementary functions and combinations of these (including compositions).
3. Apply differential calculus of elementary functions to a range of procedures including finding tangents, location of stationary points, identification of intervals of increase and decrease, optimisation, curve sketching, approximation using Taylor’s theorem, implicit differentiation, and related rates.
4. Evaluate indefinite and definite integrals of a range of elementary functions using integration by tables, integration by parts and integration by substitution.

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	22	Instructional workshop-style lectures
Tutorial	22	Practice sessions
Directed learning	33	Preparation for tutorials
Assessment Feedback	4	Completion of assessments
Independent Study	44	No Description
Total Workload: 125

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Assessment Breakdown
Continuous Assessment	100%	Examination Weight	0%

Type	Description	% of total	Assessment Date
Course Work Breakdown
Loop Quiz	Topic 1: Equations & Inequalities	25%	Week 3
Loop Quiz	Topic 2: Differentiation	25%	Week 6
Loop Quiz	Topic 3: Applications of Differentiation	25%	Week 9
Loop Quiz	Topic 4: Integration	25%	Week 12

Reassessment Requirement Type
Resit arrangements are explained by the following categories: Resit category 1: A resit is available for both* components of the module. Resit category 2: No resit is available for a 100% continuous assessment module. Resit category 3: No resit is available for the continuous assessment component where there is a continuous assessment and examination element.
* ‘Both’ is used in the context of the module having a Continuous Assessment/Examination split; where the module is 100% continuous assessment, there will also be a resit of the assessment
This module is category 1

Indicative Reading List

Other Resources

None