# Math 1210 | Calculus I

These lecture videos are organized in an order that corresponds with the current book we are using for our Math1210, Calculus 1, courses (*Calculus, with Differential Equations, by Varberg, Purcell and Rigdon, 9th edition published by Pearson*). We have numbered the videos for quick reference so it's reasonably obvious that each subsequent video presumes knowledge of the previous videos' material. Along with the video lecture for each topic, we have included the "pre-notes" and "post-notes" which are the notes of the lecture before we did the problems and after we worked everything out during the lecture, respectively. You may want to download the notes to use as a reference while watching the lecture video, or for later reference.

If you find an error in the lecture or a problem with the video, or if you would like to give feedback to us about these lectures, please email rebecca@math.utah.edu to do so.

**NOTE: These videos were not recorded in stereo sound. If you are listening to these videos on headphones, you may want to consider setting your sound channels to come through both sides. This document will give you an idea of how to accomplish that.**

- 1 Slope of a Line (Review) lecture video
- 2 Introduction to Limits lecture video
- 2.5 (optional) Rigorous Definition of Limits lecture video
- 3 Limit Properties lecture video
- 4A Limits at Infinity (part 1) lecture video
- 4B Limits at Infinity (part 2) lecture video
- 4C Squeeze Theorem lecture video
- 5 Trigonometric Limits lecture video
- 6 Continuity lecture video
- 7 Slope of a Curve lecture video
- 8 Two Problems, One Theme lecture video
- 9 The Derivative lecture video
- 10 Derivative Rules lecture video
- 11 Derivatives of Trigonometric Functions lecture video
- 12 The Chain Rule lecture video
- 13 Higher Order Derivatives lecture video
- 14A Implicit Differentiation (part 1) lecture video
- 14B Implicit Differentiation (part 2) lecture video
- 15A Related Rates (part 1) lecture video
- 15B Related Rates (part 2) lecture video
- 15.5 Differentials & Approximations lecture video
- 16A Maximum and Minimum Values (part 1) lecture video
- 16B Maximum and Minimum Values (part 2) lecture video
- 17A Monotonicity lecture video
- 17B Concavity (part 1) lecture video
- 17C Concavity (part 2) lecture video
- 18A Local Extrema (part 1) lecture video
- 18B Local Extrema (part 2) lecture video
- 19A Sketching The Graph of a Function (part 1) lecture video
- 19B Sketching The Graph of a Function (part 2) lecture video
- 20 The Mean Value Theorem for Derivatives lecture video
- 20.5 Optimization Word Problems (part 1) lecture video
- 20.5 Optimization Word Problems (part 2) lecture video
- 21A Solving Equations Numerically--Bisection Method lecture video
- 21B Solving Equations Numerically--Newton's Method lecture video
- 22 Antiderivatives lecture video
- 23 Differential Equations lecture video
- 24A Introduction to Area (part 1) lecture video
- 24B Introduction to Area (part 2) lecture video
- 25A The Definite Integral (part 1) lecture video
- 25B The Definite Integral (part 2) lecture video
- 26 The First Fundamental Theorem of Calculus lecture video
- 27 The Second Fundamental Theorem of Calculus lecture video
- 28A The Mean Value Theorem for Integrals (part 1) lecture video
- 28B The Mean Value Theorem for Integrals (part 2) lecture video
- 28C Extra Integration Practice lecture video
- 29A Area of a Plane Region (part 1) lecture video
- 29B Area of a Plane Region (part 2) lecture video
- 30A Volume of Solids--Disk Method lecture video
- 30B Volume of Solids--Washer Method lecture video
- 30C Volume of Solids--Shell Method lecture video
- 30D Volume of Solids--more practice lecture video
- 31A Length of a Plane Curve (part 1) lecture video
- 31B Length of a Plane Curve (part 2) lecture video
- 31C Surface Area lecture video
- 32 Work lecture video
- 33A Moments & Center of Mass (part 1) lecture video
- 33B Moments & Center of Mass (part 2) lecture video
- 34A Numerical Integration (part 1) lecture video
- 34B Numerical Integration (part 2) lecture video

- Derivative Game

- Implicit Differentiation Game

- Volume of Solids of Revolution Game