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Description

Summer 2015

Ashwini Amarasinghe

MAT 2311

This is week one of Calculus 1, covering chapters 1.1-1.3 . Our instructor only got through part of 1.3 so ill have the rest put up nest week when she finishes. Let me know if my handwriting is legible enough. I would type it, however, calculus problems are hard to type out.

Here is week 2 of notes of Calc 1, lectures 4 and 5, chapter 1.5 and 1.6.

Here's week three of notes. I noticed that last weeks did not download completely so I redownloaded it with all the content now. Let me know if this one has any problems!

Review for Exam 1

These notes cover The Substitution Rule (material from Lecture 35) with two different examples.

This document covers material that will appear on the final. It mainly consists of steps on how to do the each type of problem assuming you have a somewhat good understanding or foundation of it. It's more review and a guide than something you would use if you're trying to learn it for the first time.

Lecture 2: Elementary Functions (Sections 1

Includes pre calculus recap and start of calculus. Mostly limits

This is basic pre-calculus information to know in Calculus I.

These notes include instantaneous velocity and limits.

Has description on continuity and limits. I may edit and upload more content for the study guide throughout the week.

More pre-calculus information that will be needed for Calculus. Mainly inverse functions and modeling functions.

Evaluating limits and looking at graphs of limits

average and instantaneous velocity, limits, limit laws, solving limits algebraically

Limit laws with trigonometry and logarithms.

Evaluating derivatives and applying it to velocity.

Indeterminate forms, derivatives,

Derivatives, product rule, quotient rule trig derivatives, instantaneous rate of change, average rate of change, distance

Lecture 11 is power rule, sum rule, and exponential functions. Lecture twelve is the product rule and quotient rule.

Higher order derivatives and derivatives of trigonometric functions.

This is the complete set of Lecture 14 notes. This lecture will be on Exam 2.

Chapter 15 is on the chain rule and chapter 16 is on inverse and logarithmic differentiation.

Notes for Exam 1, covering lectures 1-12. Good Luck!

Chapter 17 is implicit differentiation and chapter 18 is related rates.

Notes for Lecture 16!

Lecture 19 is on linear approximation, relative/percentage errors, and errors of approximation. Lecture 20 is on critical points, maxima and minima, and find where the function is increasing or decreasing.

The start to exam 3 class notes

These notes cover lectures 22,23,24 and 25. Including L'Hopitals rules, Graphing and optimization

Main rules, concepts and examples of questions.

These notes cover the material which will be on Dr. Keeran's Final Exam (21-27).

integration uses

THESE WILL COVER EVERYTHING ON THE FINAL

lecture 1 and 2 notes

These notes cover the end of Lecture 11 and Lecture 12.

Study guide covers material from lectures 7-12