Calculus
MTH I-IV Formulas Wallet Card revised 02/2014
MTH 232 - Derivatives and Conic Sections
Chapter 23 Derivative Rules
Derivative rules for Chapter 23
Derivative Table
Product_Quotient_Power_Derivative_Rules_Using_Templates
Step by step - Taking derivatives
Chapter 24 (Applications of the derivative) Study Guide (2012)
Chapter_24_Review_201640
Chapter_24_review_problems_201640
Some notes for the Chapter 24 exam (Exam 2)
Conics
Conic Sections-Fall 2013
Decentered_Circles_Determine_General_Form_by_Pattern_Matching
Ellipses-Fall 2013-Revised
Graphing conics (YouTube)
Sample Exams
MTH 232 Exam 1 Sample
MTH 232 Exam 1 Sample - Solutions
Previous MTH 232 Exam 1 Sample
Previous MTH 232 Exam 1 Sample - Solutions
Fall 2010 MTH 232 Exam 2 - Makeup with answers
Fall 2006 MTH 232 Exam 2 - Makeup with answers
Solution to both MTH 232 Exam 2 Makeups
MTH 232 Review Fall 2013
MTH 232 Exam 3 sample
Solutions for MTH 232 Exam 3 sample
MTH 232 Exam 3 review sheet
External links:
How To Understand Derivatives: The Product, Power & Chain Rules
How To Understand Derivatives: The Quotient Rule, Exponents, and Logarithms
MTH 241 - Integrals
Some notes for Chapter 25 - basic integrals
Wikipedia shows that the area under a curve is the definite integral. It is one aspect of the Fundamental Theorem of Calculus which relates differentiation and integration. The short version (an extract) just shows the geometrical argument.
A great site that has animated disk, shell, and washer methods for integration. Also check out the sine wave animation as well as lots of other trig animations. Here is the main TOC for their animations library. Sometimes you will need to be patient as the animation does not start immeidately.
Fourier Transforms
Fourier Series Integrals
Fourier slides from class
Short-time Fourier transform (Wikipdiea) - For the audio students: "The short-time Fourier transform (STFT), or alternatively short-term Fourier transform, is a Fourier-related transform used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time."
An Interactive Guide To The Fourier Transform
Sample Exams
MTH 241 - Problem 9 page 747 - Numerical Integration
MTH 241 Exam 1 Sample
MTH 241 Exam 1 Sample Solutions
MTH 241 Exam 2 Sample
MTH 241 Exam 2 Sample Solutions
MTH 241 Exam 3 Sample
MTH 241 Exam 3 Sample Solutions - Revised
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