Differential Equations (Math 51) Comments Off
with a focus on chemistry and chemical engineering
Differential Equations (Math 51) Comments Off
Error Propagation Calculator (v. 3):
How to Use:
Step 1 – Download the file above, open it in Excel (choose “enable content” or “enable macros” if prompted), and press the huge button shown below. If you get an error message about macros despite this, go to the bottom of this page to learn how to solve the issue:
Step 2 – Input your numbers into the 4 boxes.
Step 3 – Choose the mathematical operation you desired to do for “a” and “b.” A pop-up window will reveal the results of the calculation and the resulting propagated error.
Step 4 – Since nobody wants to write out numbers manually, the results of Step 3 will be temporarily saved to the two small text boxes at the bottom of the window (highlighted in the following picture). They can be copied and pasted from here.
Step 5 (Optional) – If you wish to perform another calculation based on the results you just obtained, you do not have to re-input the numbers yourself. Press one of the “Substitute last answer” blue boxes to have the program copy the answer to the input boxes.
If you have trouble opening the program, it’s likely because you have macros disabled in your Excel settings. To solve this, go to File, then Options (may be different for older versions of Excel). Navigate to “Trust Center” (shown below), and click “Trust Center Settings.” Finally, under “Macro Settings,” select “Enable all macros” if they are currently disabled.
Note: Make sure that you keep as many digits as possible throughout your error propagation calculations to get full credit on Chem 33 lab calculations.
Last Update: 9/28/12
Want an easy way to take printscreens and save them? Try Greenshot.
Organic Chemistry I (Chem 51) Comments Off
Chemistry Principles (Chem 2) Comments Off
Here is study material for Chemistry Principles (otherwise known as General Chemistry II) based on the material taught at Tufts University and the Chemistry: Central Science book by Pearson. Chemistry, as most sciences, requires a lot of practice to understand the concepts fully. With that being said, these review sheets do not cover everything. They should be read and understood, but they are the basics. The only way to truly learn chemistry is to get out there and do it!
Chemistry Fundamentals (Chem 1) Comments Off
Hey there. Here are review sheets for Chemistry Fundamentals, otherwise known as Intro Chem. Intro chem has a lot of material, so these review sheets are not 100% comprehensive. They require you to know the basics, and then they cover the nuances and specifics for each chapter. Below are the review sheets I made for Chem 1 at Tufts University based off the Chemistry: The Central Science, 12th Edition book. There are a few “random notes” for exams attached to this post. These are just that: random notes I needed to remember but had trouble recalling for an exam. Perhaps you’ll feel the same way.
Also, if you are looking for more review material, please do check out my AP Chemistry Review Sheets posts (http://sites.tufts.edu/andrewrosen/category/high-school-review-sheets/ap-chemistry/). Yes, college chemistry is more difficult, but those review sheets will give you a very good overview of the basics if you need it.
Intro to Psychology (Psy 1) Comments Off
These review sheets were made by me and are specifically tailored for Tufts University’s Intro to Pscyhology (Psy 1) course that used Psychology, 8th edition by Gleitman, Gross, and Reisberg.
The following website is also a good source of information, especially if you’re using this specific textbook. It contains study guides for each chapter by the publisher, and it contains multiple choice question “quizzes” to do for each chapter. You can find it at: http://www.wwnorton.com/college/psych/psychology8/welcome.aspx
Applied Calculus II Comments Off
Here are review sheets for (Applied) Calculus II
The following notes are not created by me, but I think you might find them helpful if you’re in need of them. They are made by Paul Dawkins of “Paul’s Online Math Notes,” and they are of stellar quality. You can download the PDF for the entire course here: http://tutorial.math.lamar.edu/downloadfile.aspx?file=B,2,N
For some more basic review material, you can check out my AP Calculus BC Review Sheets at http://sites.tufts.edu/andrewrosen/2012/03/03/ap-calculus-bc-and-ab-review-sheets/
Calc III - Multivariable Calculus Comments Off
Calculus: Early Transcendentals by Briggs and Cochran
Chapter 11 – Vectors and Vector-Valued Functions
11.1 – Vectors in the Plane, 11.2 – Vectors in Three Dimensions, 11.3 – Dot Products, 11.4 – Cross Products, 11.5 – Lines and Curves in Space, 11.6 – Calculus of Vector-Valued Functions, 11.7 – Motion in Space, and 11.8 – Length of Curves
Chapter 12 - Functions of Several Variables
12.1 – Planes and Surfaces, 12.2 – Graphs and Level Curves, 12.4 – Partial Derivatives, 12.5 – The Chain Rule, 12.6 – Directional Derivatives and the Gradient, 12.7 – Tangent Planes and Linear Approximations, 12.8 – Maximum/Minimum Problems, 12.9 – Lagrange Multipliers
Chapter 13 - Multiple Integration
13.1 – Double Integrals over Rectangular Regions, 13.2 – Double Integrals over General Regions, 13.3 – Double Integrals in Polar Coordinates, 13.4 – Triple Integrals, 13.5 – Triple Integrals in Cylindrical and Spherical Coordinates
Chapter 14, Part I - Vector Fields
14.1 – Vector Fields and Integrals, 14.2 – Line Integrals, 14.3 – Conservative Fields
Chapter 14, Part II - Vector Calculus – Part II
14.4 – Green’s Theorem, 14.5 – Divergence and Curl, 14.6 – Surface Integrals, 14.7 – Stokes’ Theorem, 14.8 - Divergence Theorem
This is an excellent Calc III review sheet made by my friend Tyler Silber, a student at the University of Connecticut. You can find it here:
Also, this will help you with computing double integrals. It’s a Wolfram|Alpha widget to easily find the answer to a double integral. It can be found at: http://www.wolframalpha.com/widgets/view.jsp?id=f5f3cbf14f4f5d6d2085bf2d0fb76e8a
This review sheet is created by Paul Dawkins of “Paul’s Online Math Notes.” You can download a PDF of his Calc III review sheets at the following domain of his: http://tutorial.math.lamar.edu/downloadfile.aspx?file=B,11,N
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