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This booklet contains the note templates for courses Math 150/151 - Calculus I at Simon Fraser University. Students are expected to use this booklet during each lecture by following along with the instructor, filling in the details in the blanks provided. Definitions and theorems appear in highlighted boxes.
These notes are intended to be a summary of the main ideas in course MATH 214-2: Integral Calculus. I may keep working on this document as the course goes on, so these notes will not be completely finished until the end of the quarter. The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed.), Brooks/Cole. With few ...
This document provides a formula sheet for Class 12 math covering topics including inverse trigonometric functions, matrices, determinants, continuity and differentiability, applications of derivatives, integrals, applications of integrals, differential equations, vector algebra, 3D geometry, and probability.
However, Calculus II, or integral calculus of a single variable, is really only about two topics: integrals and series, and the need for the latter can be motivated by the former. The purpose of this rst lecture is
Download the complete list of Class 12 Math formulas in Chapter-wise Free PDF for Probability, Trigonometry, Vector Algebra with complete explanations for board Exams 2025.
Fundamental Formula of Calculus (FFC) Z b f(x) dx = F (b) F (a) b. also written F (x) for any antiderivative F of f on [a; b], meaning F 0 = f on [a; b].y Since any two such antideriva-tives di er by a constant (a consequence of the Mean Value Theorem (MVT)) it follows that any antiderivative can be used; the constants will cancel!
Formulas 1 lim 1 n x e →∞ n + = ( ) 1 lim 1 n x n e →∞ + = 0 sin lim 1 x x → x = 0 tan lim 1 x x → x = 0 cos 1 lim 0 x x → x − = lim 1 n n n x a x a na x a − → − = − 0 1 lim ln n x a a → x − = 2. Common Derivatives Basic Properties and Formulas ( )cf cf x′ = ′( ) ( )f g f x g x± = +′ ′ ′( ) ( ) Product ...
