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6.1, 6.4- Volumes and Work
Work Part 2, Moments and Centers of Mass, Parametric Equations
Covers all of the material included on Exam 1. I made this practice test much harder than anything Professor Gulick expects us to know so that you will be well prepared.
Much too late for this exam, but may be helpful for review. Covers finding lengths of curves for both regular and parametric equations
Covers inverse functions.
Covers inverse functions
Covers Inverse Trig, L'hopital and a tiny bit of Integration By Parts
Plan to pass this exam without studying? Your plan has just been FOILED!!
But seriously, you should study...
This study guide covers inverse functions, inverse trig functions, L'Hopital's Rule and Integration by Parts.
Lots of Integration by Parts examples...
Covers Trigonometric integrals of powers...
Covers Integrals which involve Trig Substitution...
Covers notes on Partial Fractions...
Covers Taylor Series
Covers trig integrals, integral approximations, trig sub, taylor polynomials
Sequences, Series tests of convergence part 1
Lots on notes on most of the convergence tests...
Covers sequences and Series
Complex numbers and De Moive's theorem
Polar coordinates, arc length, area
Contains the link to most of the exams for past semesters.
These notes go over some reminders of important things to remember from Calc 1 such as the definition of a function, Trigonometric Identities, a table of sin/cos values evaluated at 0 through pi, and the definition of integration used by our textbook.
Stuff that we covered
These notes cover the first part of the unit in the book and everything we learned in lecture on 8/31/16 including Volume as the Integral of the Area of a Cross Section, The Washer Method, and the Shell Method.
Lecture and Discussion Notes
Covers the equation for work used in physics, work's relation to force using calculus, Hooke's Law, solving spring problems, and solving problems involving pumping water out of a tank.
These notes contain a full outline of the unit in the textbook with all equations in boxes to make them easier to see. Note: the lecture notes are listed first because that is the parts of the unit he went over in class so are far more likely to be on the test.
Topics: Center of Gravity of multiple masses, Center of Gravity of a thin sheet(lamina), equilibrium, Moments x and y and how to use them
This study guide features: 1. Everything we have covered in class from chapter 6 separated into sections... - 6.1: Volume - 6.4: Work - 6.5: Moments and Center of Gravity - 6.8, 6.2: Ar
These notes cover everything we went over in lecture on Friday 9/9 and Monday 9/12 that will be on the first exam.
Topics include: arc length, parametrization, and parametric curves
These notes cover the topics and examples we went over in lecture on 9/14/16 and 9/19/16.
- inverse functions
- derivative of inverse functions
- the natural logarithm and exponential functions(ln x and e^x)
- properties of inverse functions and the natural functions
These are the class notes from Friday 9/23 and Monday 9/26. We covered inverse trig functions and their properties and L'Hopital's rule including the 5 examples from class.
These are the lecture notes for September 23rd 2016. In the textbook, section 7.3 is General Exponential and Logarithmic Functions. Section 7.5 is Inverse Trigonometric Functions.
These notes are a continuation of section 7.5 covering inverse trigonometric functions.
These notes are for section 7.6
These notes continue on Section 7.6
This study guide covers everything we learned in class in sections 7.1, 7.2, 7.3, 7.5, 7.6, and 8.1 which is what will be on the test this Friday.
These are the notes for section 8.1: Integration by Parts.
These notes cover the basic concepts that will be on our next exam.
This covers everything we went over in class for these sections including examples.
These notes cover everything we've gone over for these sections.
This study guide covers everything we went over in class for these sections.
Note: It was announced on 10/24 that 9.1 will not be included on this exam, so ignore the last section of this study guide.
These notes cover everything we went over in these sections.
9.1: Polynomial Approximations
9.3: Convergence Properties of Sequences
Lecture notes from the following sections and topics:
9.4: Infinite Series
9.5: The Integral Test and Comparison Test
9.6: The Ratio and Root Test
9.7: Alternating Series and Absolute Convergence
These notes cover what we went over in lecture on Monday 11/21/16 on Taylor Series, Maclaurin Series, and Error of Taylor series.
These notes are from the lectures on complex numbers on 11/28 and 11/30.
- definition of a complex number
- definition of the complex plane
- definition of a complex conjugate
- Operations with complex numbers
- the Polar Form
- De Moive's formula
- Euler's Formula
- roots of unity
These are all my notes typed from the entire semester(excluding 6.4 which is not on the exam).
Class notes on sections 10.1 and 10.2
Notes for Ch 7-8.1
Chapter 6 Notes
Integration by parts
9.3 convergence properties of sequence
exam 1 study guide
These are some of the chapters that will be covered on the test coming up next week.
These notes will be on the exam
Covers everything on the exam