These notes are intended to help us cover the material more quickly. Related rates i can solve applied problems involving related rates, including setting up a problem based on a written description, differentiating implicitly and solving for a given quantity or rate. Multivariable calculus with applications to the life sciences lecture notes adolfo j. Cm111a calculus i compact lecture notes acc coolen department of mathematics, kings college london. Translate the argument into propositional calculus. Microsoft powerpoint 50 growth models 1011 notes author.
The basis of mathematical logic is propositional logic, which was mostly. These notes are intended to be a summary of the main ideas in course math 2142. Lecture notes single variable calculus mathematics. We have an infinite list of propo sitional variables p0, p1. Logic is the study of the principles of reasoning, especially of the structure of propositions as distinguished from their content and of method and validity in deductive reasoning. Allanach notes taken by dexter chua lent 2015 these notes are not endorsed by the lecturers, and i have modi ed them often signi cantly after lectures. Introduction to logic using propositional calculus and proof 1. Ive tried to make these notes as self contained as possible and so all the information needed to read through them is either from an algebra or trig class or contained in other sections of the notes. Well at least initially our use of limits and indeed of calculus is going to be a. They are nowhere near accurate representations of what was actually lectured, and in particular, all errors are almost surely mine. This 20 page pdf calculus guide is a great study resource. These are the problems from the assigned problem set which can be completed using the material from that dates lecture. This is a self contained set of lecture notes for math 221.
All propositional formulas are constructed from atoms using rules 2 4. These are assigned only for practice, and are entirely voluntary. If y is inversely proportional to the cube of x, then 3 1 y. This is a set of lecture notes for introductory courses in mathematical logic offered at the. Multivariable calculus that will help us in the analysis of systems like the one in 2. Multivariable calculus with applications to the life sciences. Use these ap calculus notes to supplement your class notes and to prepare for your exams. Chapter 3 notes fall 2011 these are blank lecture notes for the week of 10 14 oct 2011. This book is a revised and expanded version of the lecture notes for basic. Notes on calculus ii integral calculus nu math sites.
Practice problems are not to be written up or turned in. Students should bear in mind that the main purpose of learning calculus is not just. Propositional calculus vs predicate calculus williams college. Calculus i or needing a refresher in some of the early topics in calculus. Predicate calculus is more general than propositional calculus. In some sense, this explains the classical formula for the volume of a cone. You are still expected to pay attention, participate, and ll in any missing information in these notes. Introduction to logic using propositional calculus and proof. Review of elementary functions, limits, differential calculus, and integral calculus. The rate at which susceptible individuals get infected is proportional to.
634 962 764 852 466 240 132 641 806 161 1552 526 1604 989 1616 13 1433 782 163 1629 1073 1261 298 871 85 292 69 869 1058 409