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  6. MA1508: Calculus II

MA1508: CALCULUS II (2026-2027)

Last modified: 05 Nov 2025 16:46


Course Overview

The aim of the course is to provide an introduction to Integral Calculus and the theory of sequences and series, to discuss their applications to the theory of functions, and to give an introduction to the theory of functions of several variables. 

This provides the necessary mathematical background for further study in mathematics, physics, computing science, chemistry and engineering.





Course Details

Study Type Undergraduate Level 1
Term Second Term Credit Points 15 credits (7.5 ECTS credits)
Campus Aberdeen Sustained Study No
Co-ordinators
  • Dr William Turner

Qualification Prerequisites

  • Either Programme Level 1 or Programme Level 2

What courses & programmes must have been taken before this course?

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

Are there a limited number of places available?

No

Course Description

The course is a continuation of Calculus I from Term 1. It develops the basic ideas concerning the integration of a function of one variable. It introduces Taylor series and determines these series for the most common functions. 

Syllabus

  • Convergence of limits and their calculation.
  • Definite and indefinite integrals.
  • Series and their convergence.
  • Convergence tests for series.
  • Power series and Taylor series.
  • Partial and directional derivatives.

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 31 August 2025 for 1st Term courses and 19 December 2025 for 2nd Term courses.

Summative Assessments

Exam

Assessment Type Summative Weighting 70
Assessment Weeks Feedback Weeks

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
ConceptualApplyUnderstand and apply the concept of series function and of Taylor series.
ConceptualApplyUnderstand and apply the concept of functions of several variables.
ConceptualUnderstandUnderstand the fundamental theorem of calculus.
ConceptualUnderstandUnderstand the concept of differentiability of a function in several variables.
ConceptualUnderstandUnderstand the concept of sequences and convergence of sequences.
ConceptualUnderstandUnderstand improper integrals.
ProceduralApplyApply L'hopital rule.
ProceduralApplyCarry out calculations of explicit integrals.
ProceduralApplyUnderstand and apply different tests for convergence of series.
ProceduralApplyCarry out calculation of implicit integrals, for different functions using different rules.

Class Test

Assessment Type Summative Weighting 15
Assessment Weeks Feedback Weeks

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1-hour in-class test
Learning Outcomes
Knowledge LevelThinking SkillOutcome
ConceptualUnderstandUnderstand improper integrals.
ConceptualUnderstandUnderstand the fundamental theorem of calculus.
ProceduralApplyCarry out calculations of explicit integrals.
ProceduralApplyCarry out calculation of implicit integrals, for different functions using different rules.

Class Test

Assessment Type Summative Weighting 15
Assessment Weeks Feedback Weeks

Look up Week Numbers

Feedback

1-hour in-class test
Learning Outcomes
Knowledge LevelThinking SkillOutcome
ConceptualUnderstandUnderstand the fundamental theorem of calculus.
ConceptualUnderstandUnderstand the concept of sequences and convergence of sequences.
ConceptualUnderstandUnderstand improper integrals.
ProceduralApplyCarry out calculation of implicit integrals, for different functions using different rules.
ProceduralApplyApply L'hopital rule.
ProceduralApplyCarry out calculations of explicit integrals.
ProceduralApplyUnderstand and apply different tests for convergence of series.

Formative Assessment

There are no assessments for this course.

Resit Assessments

Exam

Assessment Type Summative Weighting
Assessment Weeks Feedback Weeks

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Feedback

Best of (resit exam mark) or (resit exam mark combined with CA marks)
Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
ProceduralApplyCarry out calculations of explicit integrals.
ProceduralApplyCarry out calculation of implicit integrals, for different functions using different rules.
ProceduralApplyApply L'hopital rule.
ConceptualUnderstandUnderstand the concept of sequences and convergence of sequences.
ConceptualUnderstandUnderstand the concept of differentiability of a function in several variables.
ConceptualUnderstandUnderstand the fundamental theorem of calculus.
ConceptualApplyUnderstand and apply the concept of series function and of Taylor series.
ConceptualUnderstandUnderstand improper integrals.
ConceptualApplyUnderstand and apply the concept of functions of several variables.
ProceduralApplyUnderstand and apply different tests for convergence of series.
 

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