These notes are subject to minor changes. It is recommended you print the notes one week in advance and before each class and check here to make sure there are no changes. Changes are usually minor typos and any changes will be indicated with the date they were updated. For example if the 2.2 Notes are modified the link will be relabeled "2.2 [Updated 8/30]".
Click any of the following links for a copy of the guided notes for that section.
*All problems contained in the notes are meant to be practice problems so students should do their best to complete the problems on their own. If any questions remain students should meet with their TA/instructor during office hours or ask to go over those questions during class.
The notes provided here may include sections not covered in a given semester. Please consult the course schedule Course Schedule to see what sections will be covered and tested on.
Linear & Quadratic Functions(Review)
Exponential Functions
Logarithmic Functions
Average Rate of Change(AROC)
Limits
Limits
Derivatives Graphically
Derivatives Algebraically
Derivatives(power, sum, scalar)
Derivatives(product, quotient)
Derivatives(chain)
Derivatives(exponential, logarithmic)
Critical Points, First Derivative Test
Optimization
Second Derivative, Concavity
Riemann Sums
Riemann Sums
Antiderivatives
Fundamental Theorem of Calculus
Area Between Curves
The following video lectures correspond with the guided lecture notes found above.
Please bear in mind that the course notes are constantly evolving so their may be subtle differences between the most current notes above and those used in the videos. You will get the most out of these videos by adhering to the following best practices.
Read/skim through each set of lecture notes before starting the video.
This will allow you to briefly think about the content and be primed with any ideas/problems that look especially difficult or new.
Actively take notes as you view each video, this includes...
Taking your own set of notes.
Pausing frequently to think through ideas a summarize the main points.
Attempting the practice problems on your own before viewing the solutions.
Linear & Quadratic Functions(Review)
Exponential Functions
Logarithmic Functions
Average Rate of Change(AROC)
Limits
Limits
Derivatives Graphically
Derivatives Algebraically
Derivatives(power, sum, scalar)
Derivatives(product, quotient)
Derivatives(chain)
Derivatives(exponential, logarithmic)
Critical Points, First Derivative Test
Optimization
Optimization
Second Derivative, Concavity
Second Derivative, Concavity
Riemann Sums
Riemann Sums
Antiderivatives
Fundamental Theorem of Calculus
Area Between Curves
The video lectures below were created by an instructor who has kindly posted them on YouTube. Please keep in mind that these notes are not an official part of the course but are provided as supplemental material. The video lectures use a different set of notes which are unavailable. However the material presented does follow the same textbook and curriculum as our course.