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Description

Fall 2015

MA 408

Adding as the week continues

These notes primarily review u-sub and integration by parts. The latter end of the notes also includes trig powers integration and recursions. There are also solutions for the first set of homework problems.

Sequences, Series, and Multi-variable Calculus Notes Covers: 1/20 Lecture 1/21 Discussion 1/22 Lecture

Sequences, Series, and Multi-variable Calculus Notes Covers: 1/25 Lecture 1/26 Discussion 1/27 Lecture 1/29 Lecture

Sequences, Series, and Multi-variable Calculus Notes Covers: 2/1 Lecture 2/2 Discussion 2/3 Lecture 2/4 Discussion 2/5 Lecture

These notes goober concept of Exponential and Logarithm unctions as well as examples so that you can get the basic idea.

These are class notes over Dr. Luecke's lecture on 8/25/16.

These are class notes over Dr. Luecke's lectures on 8/30/16 and 9/1/16.

Review of the lectures in Week 1 about integration techniques.

These are the notes for all the lectures in both week 1 and week 2. They are over many different integration techniques

These are the notes from the lectures in week 3. They cover more of partial fractions as well as improper integrals and the comparison test.

Review of Week 2 lecture on partial fraction decomposition and improper integrals.

These notes cover the lectures from week 4.

Review of lectures in Week 3 on Differential Equations.

Review of techniques of integration and differential equations.

This study guide covers all the topics that will be on the midterm that is this Friday, 9/23.

These notes cover the lectures from week 6.

These notes review the basics from precalculus, from representing a function, types of functions, to inverse logs and functions.

These notes cover topics from 2.1 to 2.4. The tangent and velocity problems, the limit of a function, calculating Limits, and the important precise definition of a limit using delta and epsilon.

These notes cover continuity, limits at infinity, horizontal asymptotes, derivatives and rates of change, and the derivative as a function.

These notes cover derivatives of polynomials and exponential functions, the product and quotient rule, and derivatives of trigonometric functions.

These notes cover the chain rule, implicit differentiation.

Reread 3.5 in preparation for next week. These notes include concepts on derivatives of log functions.

These notes cover 3.8 and 3.9 on related rates and exponential growth and decay. Included are my transcribed notes from Triesman's lecture on 9/29. Have a great week!

Parametric equations and polar coordinates.

These notes cover the test prep, noting what will and won't be on the test including some specific examples quoted from the test.

These notes cover the mean value theorem and finding maximum and minimum values.

These notes cover the lectures from week 7

This study guide covers the convergence and divergence tests for series that will be on our next midterm, which is on Friday, October 28th.

These notes cover the lectures from week 9, which is a lot of what will be on the next exam

These notes cover how derivatives affect the shape of a graph and a summary of curve sketching techniques. As well a review of L'Hopital's Rules and indeterminate forms. 4.9 introduces the idea of antiderivates whihc we will cover in more detail next week.

These notes cover examples of working Optimization Problems, Area problems, and distance problems. 5.2 covers the definite integral and its properties.

These notes cover the lecture topics from week 10.

These notes cover the lectures from week 11

These notes cover the lectures from week 12

These notes cover the lectures from week 13

This study guide covers everything that will be on our midterm this Monday, 11/28/16

This study guide covers all the information that will be on our final (which happens to be all the information we have learned this semester). :D

These notes cover the lectures from week 14

These notes cover the lectures from week 15

Week 1 Notes

Study Guide

These notes cover integration by parts and include multiple worked examples and problem types.

These notes cover The four types of integration by parts, a review of u-substitution, trigonometric substitution, integration of rational functions. General rules for solutions are noted from Lectures.

These notes cover quiz two and review for exam 1. Including partial fractions and trig substitution.

These notes cover the free integrals, trig function recursion formulas, and multiple examples worked out.

These notes cover separable functions, differential equations, and population growth. Includes notes from lecture.

These notes cover simple differential equations including first-order separable and integrating equations, and second-order linear homogeneous equations. This week we review L'Hospital's rule for limits.

These notes cover our next exam. From L'hopitals to improper integrals, multiple examples from TA Discussions.

These notes cover this week's quiz, Summation notation, infinite sums as limits, and review last year's exam 2 problems.

These notes begin our introduction to Series and Sequences.

These notes cover power series and Taylor series.