Calculus PowerPoints and Video Lectures

The links on the right side of this page are for video recordings of the PowerPoint lectures given in AB and BC Calculus class. You may click on either the VIDEO link or the YouTube link, whichever works better for you.

The links on the left side of the page are in the original PowerPoint format. Clicking on a link will take you to Google Drive. You will need to download the PowerPoint lectures in order to view them correctly. Because of the mathematical formulas and graphics involved, the PowerPoint lectures cannot be viewed directly in Google Drive. To download the PowerPoint lectures, after the link takes you to the Google Drive page, click on File in the upper left corner, and then select Download.

To view these PowerPoint presentations on an iPad, download the free SlideShark application from iTunes.

Lectures with an N designation (for example, 1.3N) have been rewritten to use the TI-nspire cx CAS calculator. Lectures without the N designation either have no calculator reference or have instructions for the TI-89 graphing calculator.

1.2 Day 1 Functions and Graphs VIDEO YouTube

1.2 Day 2 Transformations of Functions VIDEO YouTube

1.3 Exponential Functions 1.3N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

1.4 Parametric Equations 1.4N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

1.5 Functions and Logarithms 1.5N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

1.6 Trig Functions 1.6N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

1.6a Day 1 Review of Evaluating Trig Functions VIDEO YouTube

1.6b Day 2 Review of Evaluating Trig Functions VIDEO YouTube

1.6c Day 3 Review of Evaluating Trig Functions VIDEO YouTube

1.6d Day 4 Review of Trig Identities VIDEO YouTube

2.1 Day 1 Rates of Change and Limits, Sandwich Theorem 2.1 Day 1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

2.1 Day 2 Step Functions; Sandwich Theorem for sin (x) / x 2.1 Day 2N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

2.2 Limits Involving Infinity 2.2N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

2.3 Continuity 2.3N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

2.4 Rates of Change and Tangent Lines 2.4N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

3.1 Derivative of a Function 3.1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

3.2 Differentiability 3.2N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

3.3 Rules for Differentiation VIDEO YouTube

3.4 Velocity, Speed & Rates of Change VIDEO YouTube

3.5 Derivatives of Trig Functions VIDEO YouTube

3.6 Chain Rule 3.6N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

3.7 Implicit Differentiation 3.7N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

3.8 Derivatives of Inverse Trig Functions VIDEO YouTube

3.9 Derivatives of Exponential and Logarithmic Functions VIDEO YouTube

4.1 Extreme Values of Functions 4.1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

4.2 Mean Value Theorem VIDEO YouTube

4.3 Using Derivatives for Curve Sketching VIDEO YouTube

4.4 Modeling and Optimization VIDEO YouTube

4.5 Linearization and Newton’s Method 4.5n TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

4.6 Related Rates VIDEO YouTube

5.1 Estimating with Finite Sums VIDEO YouTube

5.2 Definite Integrals 5.2N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

5.3 Definite Integrals and Antiderivatives VIDEO YouTube

5.4 Fundamental Theorem of Calc. VIDEO YouTube

5.5 Trapezoidal Rule VIDEO YouTube

6.1 Day 1 Antiderivatives and Slope Fields 6.1 Day 1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

6.1 Day 2 Euler’s Method 6.1 Day 2N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

6.2 Integration by Substitution VIDEO YouTube

6.3 Day 1 Integration by Parts and Tabular Integration VIDEO YouTube

6.3 Day 2 Integrating ln and Arcsine VIDEO YouTube

6.4 day 1 Separable Differential Equations 6.4 Day 1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

6.4 day 2 Exponential Growth & Decay VIDEO YouTube

6.5 day 1 Partial Fractions 6.5 Day 1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

6.5 day 2 Logistic Growth VIDEO YouTube

7.1 Integral as Net Change VIDEO YouTube

7.2 Areas in the Plane VIDEO YouTube

7.3 Day 1 Volumes by Slicing VIDEO YouTube

7.3 Day 2 Disk and Washer Methods VIDEO YouTube

7.3 Day 3 The Shell Method VIDEO YouTube

7.4 Day 1 Lengths of Curves 7.4 Day 1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

7.4 Day 2 Surface Area 7.4 Day 2N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

7.4 Worksheet: Areas of Surface & Revolution SOLUTIONS

7.5 Day 1 Work and Pumping Liquids VIDEO YouTube

7.5 Day 2 Fluid Pressure and Forces VIDEO YouTube

7 Extra Centers of Mass and Theorems of Pappus VIDEO YouTube

8.1 Sequences 8.1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

8.2 Day 1 L'Hôpital's Rule VIDEO YouTube

8.2 Day 2 Identifying Indeterminate Forms VIDEO YouTube

8.3 Relative Rates of Growth VIDEO YouTube

8.4 Day 1 Improper Integrals VIDEO YouTube

8.4 Day 2 Tests for Convergence VIDEO YouTube

8 Extra Trigonometric Substitution VIDEO YouTube

9.1 Power Series VIDEO YouTube

9.2 Day 1 Taylor Series 9.2 Day 1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

9.2 Day 2 Finding Common Maclaurin Series VIDEO YouTube

9.3 Taylor's Theorem & Euler’s Formula VIDEO YouTube

9.4 Radius of Convergence VIDEO YouTube

9.5 Convergence at Endpoints 9.5N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

9.5h Handout: Series Convergence Flow Chart

10.1 Parametric Functions VIDEO YouTube

10.2 Day 1 Vectors in the Plane VIDEO YouTube

10.2 Day 2 Vector-valued Functions 10.2 Day 2N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

10.3 Day 1 Polar Coordinates and Graphs 10.3 Day 1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

10.3 Day 2 Calculus of Polar Curves VIDEO YouTube

10 Extra Modeling Projectile Motion 10 Extra N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

11.1 Hyperbolic Functions 11.1N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

Hyperbolic Function Formula Sheet

11.2 Hyperbolic Function Applications VIDEO YouTube

11.2 Worksheet: Hyperbolic Function Applications 11.2 Hyperbolic Function Worksheet SOLUTIONS

11.3 Functions of Two Independent Variables 11.3N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

11.3-11.5 Worksheet: Extra Topics 11.3-11.5 Extra Topic Worksheet SOLUTIONS

11.4 Partial Derivatives VIDEO YouTube

11.5 Double Integration 11.5N TI-89: VIDEO YouTube TI-nspire: VIDEO YouTube

11.6 Gabriel's Horn VIDEO YouTube

11.7 More on Hyperbolic Functions VIDEO YouTube

11.8 The Cantor Set VIDEO YouTube

11.9 Derivation of the Catenary Equation VIDEO YouTube