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CALCULUS 2

Module code: MT104A
Credits: 7.5
Semester: 2
Department: MATHEMATICS AND STATISTICS
International:

	Overview
	Module Objective: To introduce the students to the integral calculus of a single variable. The Integral. Area. Riemann integral and antiderivative. Substitution. Parts. Applications. Logarithmic and exponential functions. Trigonometric functions and their inverses. Indeterminate forms. Improper integrals. Manual and computer techniques of integration. Tables of integrals. Reduction formulas. Expansion in partial fractions. Simpson''s rule. Applications of the integral. Volumes and surfaces of revolution. Length of Curves. Infinite sequences and series. Monotone and bounded sequences. Convergence of infinite series. Comparison test. Ratio test. The integral test. Power series. Radius of convergence. Convergence of Taylor series.

Overview

Module Objective:
To introduce the students to the integral calculus of a single variable.

The Integral. Area. Riemann integral and antiderivative. Substitution. Parts. Applications. Logarithmic and exponential functions. Trigonometric functions and their inverses. Indeterminate forms. Improper integrals. Manual and computer techniques of integration. Tables of integrals. Reduction formulas. Expansion in partial fractions. Simpson''s rule. Applications of the integral. Volumes and surfaces of revolution. Length of Curves. Infinite sequences and series. Monotone and bounded sequences. Convergence of infinite series. Comparison test. Ratio test. The integral test. Power series. Radius of convergence. Convergence of Taylor series.

	Learning Outcomes
	On successful completion of the module, students should be able to: Integrate basic functions and combinations of functions using standard techniques. Use integrals to find areas, volumes and lengths of curves. Use standard convergence tests to decide whether sequences and series converge. Evaluate integrals using numerical methods. Use the methods from the course to solve problems. State definitions and theorems covered in the course.

Learning Outcomes

Teaching & Learning methods

Assessment

	Autumn Supplementals/Resits
	Two hour written examination 75%. Continuous assessment mark is carried forward to the Autumn. University scheduled written examination (Autumn): 120 minutes

	Pre-Requisites
	MT103A

	Timetable
	This timetable is not currently available, please contact the Mathematics And Statistics Department.

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Courses / Module

CALCULUS 2