Introduction to Integral Calculus
is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
They assume a solid foundation in differential and integral calculus
and some linear algebra.
A solid background in linear regression (particularly multivariable linear regression) is assumed and experience with basic differential calculus, integral calculus
, probability theory, and matrix calculus will aid in understanding the material.
Students need to have completed courses in statics of rigid bodies, and math through integral calculus
First published in 1908, this classic still gives undergraduate students their first dose of the differential and integral calculus
, the properties of infinite series, and other notions involving limit.
Content Outline: I CALCULUS 1 Set Theory 2 Linear Algebra 3 Sequences and Series 4 Differential Calculus 5 Integral Calculus
6 Remarkable Functions 7 Complex Numbers 8 Differential Equations 9 Transforms II PROBABILITY 10 Measure Theory 11 Probability Theory 12 Stochastic Calculus 13 Stochastic Differential Equations III FINANCE 14 Actuarial Calculus 15 Equity Derivatives Models - Asymptomatic analysis and Portfolio replication - Martingale and forward measures - Stochastic and Partial Differential Equation - Fourier Transform 16 Term-Structure models - Short rate diffusive processes - Arbitrage-free conditions - Stochastic and Partial Differential Equation - Zero Coupon Bond Price under different measures INDEX
Engineers from India and the US compiled concept-oriented notes for systematic studies in differential and integral calculus
Readers should have background in college mathematics, including differential and integral calculus
, elementary matrix theory (but not linear algebra), and a course on elementary probability theory.
June 17: Newhousegate, Math Minor, Off Track, Door Jammed & Integral Calculus
He assumes them to have completed a differential and integral calculus
sequence, but does not expect knowledge of linear algebra.