Module: Calculus

Latest Module Specifications

Current Academic Year 2025 - 2026

Module Title	Calculus
Module Code	MTH1088
Faculty	Mathematical Sciences	School	Science & Health
NFQ level	8	Credit Rating	5

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 assessment (possibly online). Students will be offered a number of opportunities to 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

Section Breakdown
CRN	11807	Part of Term	Semester 1
Coursework	0%	Examination Weight	0%
Grade Scale	PASS/FAIL	Pass Both Elements	Y
Resit Category	RC1	Best Mark	N
Module Co-ordinator	Sinead Breen	Module Teacher

Type	Description	% of total	Assessment Date
Assessment 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; RC1: A resit is available for both^* components of the module. RC2: No resit is available for a 100% coursework module. RC3: No resit is available for the coursework component where there is a coursework and summative examination element. ^* ‘Both’ is used in the context of the module having a coursework/summative examination split; where the module is 100% coursework, there will also be a resit of the assessment

Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

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

Indicative Reading List

Books:

Thomas, G. B., Weir, M.D., Hass, J. and Giordano, F. R.: 2005, Thomas' Calculus, Pearson Addison Wesley,
Stewart, J.: 2016, Calculus, Cengage Learning,

Articles:
None

Other Resources

None