Advanced Calculus

Applications Open: 01 May 2024

Applications Close: 15 June 2024

Next Available Intake: July 2024

Course Types: Modular Undergraduate Course

Language: English

Duration: 6 months

Fees: $1391.78 View More Details on Fees

Area of Interest: Science and Technology

Schemes: Alumni Continuing Education (ACE)

Funding: To be confirmed

School/Department: School of Science and Technology

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Synopsis

MTH318 Advanced Calculus will introduce students to the calculus of series, sequences and series of functions. Students will be exposed to various tests of convergence of series as well as notions of pointwise and uniform convergence of sequences of functions. The emphasis of the course will be on applications of the results presented to solve problems.

Level: 3
Credit Units: 5
Presentation Pattern: EVERY JULY

Topics

Infinite series
Absolute convergence
Conditional convergence
Tests for Absolute Convergence
Tests for Conditional Convergence
Pointwise and Uniform Convergence
Interchange of Limits
Series of Functions
Weierstrass M-test
Power series
Interval of convergence
Termwise differentiation

Learning Outcome

Determine whether given series is absolutely convergent, conditionally convergent or divergent.
Show the validity of given mathematical statements in advanced calculus.
Discuss the convergence of sequences and functions.
Give counter-examples of mathematical statements in advanced calculus.
Calculate the uniform limit of functions and integrals.
Compute the interval of convergence for a given power series.

Part-time Programmes / CET Courses

Singapore University of Social Sciences

Advanced Calculus