This page is an archive of my PowerPoint Precalculus and Calculus lessons. I post these lessons on the Precalculus Page or one of the Calculus Pages of this website as I teach them. If you are one of my students, I suggest that you not download lessons from this page. I often make minor changes just prior to teaching the lesson. If you will download from one of the Calculus Pages or the Precalculus Page, you will download the version I will be using in class.
The Power Point lessons listed below were prepared and copyrighted by Roy L. Gover. Teachers are welcome to download, edit and use these lessons in the classroom for instruction with students. Please do not remove the copyright notice. To download, click on the red section number in the lists below. You will need PowerPoint or PowerPoint Viewer on your computer to view the lessons. Many of these lessons have sound effects.
These lessons are not designed to be self-teaching tutorials. I work the examples in class on my overhead projector while displaying the lesson on my 32 inch television monitor. My students copy definitions and important ideas in their notes. Students practice using the "Try This" problems. I post lessons on www.mrgover.com.com as I teach them each semester so that students can review the lessons at home. Many of my students come to class with a copy of the lesson printed from the website and take notes in the margins.
If you find errors or have suggestions, please contact me at rgover.aisd.net. I will add new lessons and improve the existing lessons from time to time.
These materials were prepared using PowerPoint , MathType, TI Interactive,Geometer's Sketchpad, Derive and WinPlot software. I selected the fonts and font sizes for readability on the 32 inch monitor I use in my classroom; the fonts should work equally well on a projector.
The Precalculus lessons are adapted from Hungerford, Jovell, Mayaberry: Precalculus-A Graphing Approach (2006) Holt, Rinehart and Winston.
The Calculus Lessons generally follow Finney, Demana, Waits, Kennedy: Calculus-Graphical, Numerical, Algebraic (2007) Pearson Prentice Hall
| Section | Calculus |
|---|---|
| 0.1 | Angles & Radian Measure |
| 0.2 | Trig Functions |
| 0.3 | Trig Identities |
| 2.1 | Rates of Change & Limits |
| 2.2 | Limits involving Infinity |
| 2.3 | Continuity |
| 2.4 | Rates of Change & Tangent Lines |
| 3.1 | Derivative of a Function |
| 3.2 | Differentiability |
| 3.3 | Rules for Differentiation |
| 3.4 | Velocity & Other Rates of Change |
| 3.5a | Trig Identities |
| 3.5 | Derivatives of Trig Functions |
| 3.6 | Chain Rule |
| 3.7 | Implicit Differentiation |
| 3.8 | Derivatives of Inverse Trig Functions |
| 3.9 | Derivatives of Exp. and Log Func. |
| 4.1 | Extreme Values of Functions |
| 4.2 | Mean Value Theorem |
| 4.3 | Connecting f ,f' & f" |
| 4.4 | Modeling & Optimization |
| 4.5 | Linearization |
| 4.6 | Related Rates |
| 5.1 | Estimating with Finite Sums |
| 5.2 | Definite Integrals |
| 5.3 | Definite Integrals & Antiderivatives |
| 5.4 | Fundamental Theorem of Calculus |
| 5.5 | Trapezoidal Rule |
| 6.1 | Slope Fields & Euler's Method* |
| 6.2 | Antidifferentiation by Substitution |
| 6.3 | Antidifferentiation by Parts * |
| 6.4 | Exponential Grow & Decay |
| 6.5 | Logistic Growth* |
| 7.1 | Integral as Net Change |
| 7.2 | Areas in the Plane |
| 7.3a | Volumes |
| 7.3b | Surface Areas* |
| 7.4 | Lengths of Curves* |
| 7.5 | Applications from Science (Optional) |
| 8.1 | Sequences* |
| 8.2 | L'Hopital's Rule* |
| 8.3 | Relative Rates of Growth* |
| 8.4 | Improper Integral* |
| 9.1 | Power Series* |
| 9.2 | Taylor Series* |
| 9.3 | Taylor's Theorem* |
| 9.4 | Radius of Convergence* |
| 9.5 | Testing Convergence of Endpoints* |
| 10.1 | Parametric Functions* |
| 10.2 | Vectors in the Plane* |
| 10.3 | Polar Functions* |
| Tour of Differential Calculus | |
| Section | Precalculus |
|---|---|
| 1.1 | Real Numbers, Relations & Functions |
| 1.2 | Mathematical Patterns |
| 1.3 | Arithmetic Sequences |
| 1.4 | Lines |
| 1.5 | Linear Models |
| 1.6 | Geometric Sequences |
| 1.7 | Can Do Calculus: Infinite Geom Seq |
| 2.1 | Solving Equations Graphically |
| 2.2 | Solving Quadratic Equations Algebraically |
| 2.3 | Applications of Equations |
| 2.4 | Other Types of Equations |
| 2.5 | Inequalities |
| 5.1 | Radicals & Rational Exponents |
| 5.2 | Exponential Functions |
| 5.3 | Applications of Exponential Functions |
| 5.3a | Personal Finance |
| 5.4 | Common & Natural Log Functions |
| 5.5 | Properties & Laws of Logarithms |
| 6.1 | Right Triangle Trigonometry |
| 6.2 | Trigonometric Applications |
| 6.3 | Angles & Radian Measure |
| 6.4 | Trigonometric Functions |
| 6.5 | Basic Trig Identities |
| 7.1 | Graphs of Sine, Cosine & Tangent |
| 7.3 | Periodic Graphs & Amplitude |
| 7.4 | Periodic Graphs & Phase Shift |
| 8.1 | Graphical Solutions to Trig Equations |
| 8.2 | Inverse Trig Functions |
| 8.3 | Algebraic Solutions of Trig Equations |
| 8.4 | Simple Harmonic Motion & Modeling |
| 9.2 | Addition & Subtraction Identities |
| 9.3 | Other Identities (Double and Half Angle) |
| 10.1 | Law of Cosines |
| 10.2 | Law of Sines |