Math 251 Resources


All material on this page is copyright 2023 by Dan Dugger.

Guide to the Math 251 topics

Each line below has two links: the [Video] link is for a lecture video, and the link before it is a PDF of the lecture notes. The listed sections refer to the OpenStax Calculus Volume 1 textbook.

Preview of calculus [Video] Section 2.1
Average and Instantaneous Velocity [Video] Section 2.1
Limits
Slopes and Limits [Video] Section 2.1
Introduction to Limits [Video] Sections 2.2-2.3
More on limits [Video] Sections 2.2-2.3
Introduction to Derivatives
Introduction to derivatives [Video] Section 3.1
The Power Rule [Video] Section 3.3
Basics of derivatives [Video] Section 3.3
Equations for tangent lines [Video] Example 3.22
Derivatives of exponentials [Video] Section 3.9
Linear approximation formula, part 1 [Video] Sections 3.4, 4.2
Linear approximation, part 2 [Video] Section 4.2
Optimization [Video] Section 4.7
More optimization examples [Video] Section 4.7
Product and quotient rules [Video] Section 3.3
Higher derivatives [Video] Section 3.2
Delving deeper into derivatives
Derivatives of trig functions [Video] Section 3.5
Chain Rule, Part 1 [Video] Section 3.6
Chain Rule, Part 2 [Video] Section 3.6
Chain Rule, Part 3 [Video] Section 3.6
Implicit diff., part 1 [Video] Section 3.8
Implicit diff, Part 2 [Video] Section 3.8
Derivatives of Inverse Functions [Video] Section 3.7
Optimization example with trig [Video] Section 4.7
More practice with the chain rule [Video]
Related Rates, Part 1 [Video] Section 4.1
Related Rates, Part 2 [Video] Section 4.1
Shapes of graphs [Video] Section 4.5
Minima and Maxima [Video] Section 4.3
Quadratic approximations and 2nd Derivative Test [Video] Section 4.5
Limits involving infinity
Limits with infinity [Video] Section 2.2
Limits with infinity, part 2 [Video] Section 2.2
L'Hopital's Rule [Video] Section 4.8
Other topics
Differentials [Video] Section 4.2