Math 5A Calculus: Information, Handouts, Images and Animations

Orientation Module and Syllabus on Canvas

• Article: What is Calculus?
• Connecting Precalculus to Calculus -Need forThe Limit
• Math Path Advice
• SLOs

Algebra Review

• Algebra for Caclulus Review Notes and Worksheets (corresponding to videos)***
• Review of unit circle notes
• Review of Trig Equations Notes
• Extra Algebra and Trig Review / Book Appendix | Answers
• Extra Factoring With Negative Exponents Practice
• Presentation
• Presentation: abuse of the =

My Favorite Resources:

• Professor Leonard (Very good full video lecture, except the one on triple integrals)
• Mathispower4U (good power point style videos)
• Khan Academy Multivariable (videos)
• Pauls's Notes (Explanations and sample problems)
• Online book -Whitman college
• Additional Online Resources
• Graphing Calculator - Desmos

Sample Tests

• 1 ---ans-----||------ 2 ans| 2NEW ans|--------- 3 --solutions| |-----Sample 4 with answers_ ----- Sample 4 v 2 Solns-====> Volume WS-- Vol WS solution------ Final Solutions

Unit 1 - Limits.

• Unit 1 notes pdf | docx
• LIMIT
  • Limit definition
  • Delta Epsilon Desmos | 1 (does not change color) 2 (changes color) | 3 (smiley)
  • Delta Epsilon Geogebra 1 (can't change f but highlights part of graph that fails challenge)
  • Delta Epsilon Applet 1 ***
  • Desmos limit at infinity
  • Delta Epsilon explanation video
• Limit Problems
• Tangent and Secant Lines Desmos

Unit 2 Differentiation

• Unit 2 Note Outline pdf | docx
• The Derivative as a Function
  • Desmos animation
• Product Rule
  • examples
• Quotient Rule
  • examples
• Chain Rule
  • examples
  • Worksheet
• 2.3ii example - Point of tangency not given
• Related Rates
  • Rocket image
  • Animation of Class Examples
  • In-Class Examples Worksheet
  • Related Rates Worked Examples Links 1 | 2 | 3

Unit 3 Applications of Differentiation

• Unit 3 Note Outlines pdf | docx
• Graph for example
• Graphing
  • Sample Graphing Problems
• Max/Min
  • Desmos animation. rectangle inscribed in semi-circle
  • Optimization Problems
  • More Optimization Problems
  • Desmos animation 3.7#57
• Theorems
  • Animation of MVT
  • Animation of part of proof of MVT
• Newton's Method
  • Animation
  • Newton's Method Desmos

Unit 4 Antiderivatives and Integration

• Unit 4 Note Outlines pdf ... | doc
• HW Quiz Packet 4
• Desmos Riemann sum
• Antiderivatives - Slope field

Applications of Integration

• Chapter 5 notes pdf docx
• Volume Note Outline
• Volume by Slicing
  • Parabolic region with square cross section
  • Parabolic region with semicircle cross section
  • Geogebra Example
  • Squares over
• Volume by Disks
  • Example of Solids or Revolution
  • Intro Video
  • Solid of revolution with diskb (video/no sound that goes with examples in notes)
  • Disk Method Geogebra Video
  • Solid of revolution animation (washer)
  • Washer method-y axis (Math is Power 4U)
  • Washer method-x axis (Math is Power 4U
  • Washer method other axis (Math is Power 4U)
  • Old Notes side by side
  • Summary example of disks/wahers/shells
• Volume by Shells
  • Intro Video
  • Animation - about different axis
• Volume Worksheet| ans
• Work
  • handout

 

 

 

 

 

 

Math 5A - Calculus