The Hudson School of Mathematics

Calculus I

Spring 2025 (15x4 hours=60 hours)

Calculus deals with the basis of modern analysis. The dissemination of calculus splits into three courses corresponding to three progressive levels. Calculus I is the first level. The foundation of calculus relies on the notions of derivative and integrals. It goes back to the seventeenth century and the works of Leibniz and Newton. The introduction of those fundamental notions will rely on real word applications, from Physics and Engineering to Biology.

Syllabus

The course calculus I will introduce the basics of calculus. The following chapters will be studied: Introduction to Calculus. Functions and limits.Derivatives. Application of Derivatives, The Chain Rule. Integrals. Exponential and Logarithms. Inverse Functions. The lectures will be inspired by the following textbooks:

Calculus by G. Strang, MIT
Essential Calculus: Early Transcendentals, by J. Stewart
Calculus, by D. Varberg, E. Purcell, S. Rigdon, Pearson

Prerequisites for registration : approval of the department.
To register for the class, send an email to contact@hudsonschoolmath.com and fill out this form .