Course Details
Country:
Sweden
Institution:
Linnaeus University - Växjö campus
Course Title:
Calculus II
Course Number:
1MA404
Course Description:
The main goal with the course is to give an introduction to integration and series in one variable. l Integrals: Definition of integral, the MeanValue Theorem for Integrals, the Fundamental Theorem of Calculus, integration by parts, substitutions, applications to differential equations. l Improper integrals: definition and convergence. Comparison test. l Sequences: definition, properties, supremum and infimum. Convergence of monotonic sequences; l Series: convergence, properties of convergent series. l Positive series: comparison tests, quotient and root tests, integral test. Alternating series, conditional convergence, absolute convergence. l Power series, radius of convergence, interval of convergence; l Maclaurin and Taylor formulas with errors in BigO form and in Lagranges form. Taylors formula for the elementary functions, calculations of limits and approximation of integrals by Taylors formula. l Mathematical writing and numercical compution of integrals and series using mathematical software.
Language:
English
Approved Equivalent:
MATH 114
Attachment Files:
syllabus-1MA404-3.pdf
