Calculus 3 (multivariable Calculus)

Towards and through the vector fields, part 1 of 2.

Towards and through the vector fields, part 2 of 2. Integrals and vector calculus.

Integral calculus in one variable: theory and applications for computing area between curves, curve length, and volumes

Differential calculus in one variable: theory and applications for optimisation, approximations, and plotting functions

Useful in Calculus, Trigonometry, Geometry, Physics, Chemistry, Test prep like SAT, ACT, GRE, GMAT, Coding, Programming

For University Students

Trigonometry is applicable in Pre Calculus, Calculus, College Algebra, Geometry, Mathematics part of SAT,GRE Test Prep

Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.