Module Code - Title:
MB5021
-
CALCULUS 1
Year Last Offered:
2025/6
Hours Per Week:
Grading Type:
N
Prerequisite Modules:
Rationale and Purpose of the Module:
The purpose of this module is to provide post-primary mathematics teachers with mathematics content knowledge required by the Teaching Council for accreditation.
The module introduces participants to topics and techniques in calculus that provide the necessary knowledge, skills and understanding for teaching the Mathematics syllabus to the highest level in post-primary education.
Syllabus:
This is an introductory module in Calculus where the following topics are discussed: basic properties of the real numbers; convergence of the sequences of real numbers; elementary functions; limit of a function; continuity; intermediate value theorem and its application to finding roots of equations; derivative, differentiation by rule; consideration of how these topics could be taught in a second level classroom.
Learning Outcomes:
Cognitive (Knowledge, Understanding, Application, Analysis, Evaluation, Synthesis)
On successful completion of this module, students will be able to:
1. Demonstrate an understanding of the concepts introduced in the course and explain how these relate to each other,
2. Use the acquired techniques of Calculus,
3. Understand the reasoning behind any methods or procedures applied,
4. Communicate the ideas in a precise and clear manner using the language of mathematics,
5. Ask relevant questions,
6. Produce examples in order to illustrate a definition, show a method, or test boundaries of an idea,
7. Identify connections between mathematical concepts and opportunities to explore related connections within the school mathematics curriculum.
Affective (Attitudes and Values)
On successful completion of this module, students will be able to:
1. Appreciate the relevance of the concepts covered in this module for teaching mathematics in post-primary schools.
Psychomotor (Physical Skills)
N/A
How the Module will be Taught and what will be the Learning Experiences of the Students:
Blended learning approach: online lectures with interactive exercises; online and face to face tutorials.
Based on the course team's published research on designing blended professional development programmes for out-of-field teachers of mathematics.
Develops knowledgeable graduates with high levels of mathematical competence needed for Teaching Council recognition as a fully-qualified teacher of post-primary mathematics.
Prime Texts:
Stewart, J. (2012)
Calculus, 7th Edition
, Brooks/Cole, Pacific Grover, California.
Other Relevant Texts:
Adams, R.A. (2006)
Calculus: A Complete Course, 6th Edition
, Prentice Hall Canada.
Larson, R., Hostetler, R. P., Edwards (2002)
Calculus 1 with PreCalculus
, Houghton Mifflin, New York.
Lang S.A. (1991)
A First Course in Calculus
, Springer Verlag. New York.
Strichartz, R. (2000)
The Way of Analysis
, Jones and Bartlett, Boston, Massachusetts
Programme(s) in which this Module is Offered:
PROFESSIONAL DIPLOMA IN MATHEMATICS FOR TEACHING
Semester(s) Module is Offered:
Spring
Module Leader:
niamh.omeara@ul.ie