Presentations
Students enrolled in this course are required to view the online PowerPoint presentations before doing the homework. Viewing the presentations diligently has proven to greatly increase learning of the course material!
These presentations are animated! To advance a slide and/or its animations, click somewhere on the slide --- or press the spacebar on your keyboard. Do not use the playback controls at the bottom of the slide, except when you want to return to a previous slide. (Doing so will skip over the animations.)
Keywords: Each lesson contains a keyword on a selected slide (chosen at random). Students are required to submit this keyword to the instructor. When you see a keyword, jot down the lesson number and the keyword to submit after you have finished viewing the presentation.
Note: To view a Presentation, click on the Lesson number in the first column.
After viewing the Presentation, close (or minimize) the extra window; the current browser window will still be open. Then click on 
in the Action Menu above to move on to the next step in the Module.
| Click on Lesson # |
Lecture (mp3 files) |
Text Section Number |
Text Section Title |
Topics |
| T |
Trial Presentation (Done during the Course Orientation) | |||
| 0 |
College Algebra Reviews (Optional: for students needing algebra review) | |||
| 1 | 1.5 | Limits | Intuitive Introduction to the Limit, Limits, Properties of Limits, Computation of Limits x - Limits Involving Infinity | |
| 2 | 2.1 | The Derivative | Rates of Change and Slope, The Derivative of a Function, Slope of a Derivative, Instantaneous Rate of Change as a Derivative, Significance of the Sign of the Derivative, Derivative Notation, Differentiability and Continuity | |
| 3 | 3 | 2.2 | Techniques of Differentiation | The Constant Rule, The Power Rule, The Constant Multiple Rule, Relative and Percentage Rates of Change, Rectilinear Motion, The Motion of a Projectile |
| 4 | 4 | 2.3 | Product and Quotient Rules; Higher-Order Derivatives | The Product Rule, The Quotient Rule, The Second Derivative, Higher-Order Derivatives |
| 5 | 2.4 | The Chain Rule | The Chain Rule, The General Power Rule | |
| Review 1 | ||||
| 6 | 3.1 | Increasing and Decreasing Functions; Relative Extrema | Increasing and Decreasing Functions, Relative Extrema, Critical Numbers and Critical Points, First Derivate Test for Relative Extrema, Applications Involving the First Derivative, Basic Graphing Procedure Using the First Derivative | |
| 7 | 3.2 | Concavity and Points of Inflection | Concavity, Determining Intervals of Concavity Using the Sign of the Second Derivative, Inflection Points, Curve Sketching with the Second Derivative, The Second Derivative Test | |
| 8 | 3.4 | Optimization | Absolute Maxima and Minima of a Function, The Extreme Value Property, More General Optimization, Second Derivative Test for Absolute Extrema, Marginal Analysis Criterion for Maximum Profit, Marginal Analysis Criterion for Minimal Average Cost, Price Elasticity of Demand | |
| 9 | 3.5 | Additional Applied Optimization | Guidelines for Solving Optimization Problems, Inventory Control | |
| Review 2 | ||||
| 10 | 4.1 | Exponential Functions | Review of Exponential Notation and Properties, Exponential Functions, Basic Properties of Exponential Functions, The Natural Exponential Base e, Continuous Compounding of Interest, Compound Interest, Present Value, Exponential Growth and Decay, Nominal Interest Rate, Effective Interest Rate | |
| 11 | 4.2 | Logarithmic Functions | Logarithmic Functions, Properties of Logarithms, Graphs of Logarithmic Functions, The Natural Logarithm, Properites of the Natural Logarithm, The Relationship between ex and ln x, Conversion Formula for Logarithms, Doubling Time, Half-Life, Carbon Dating, Exponential Curve Fitting | |
| 12 | 4.3 | Differentiation of Logarithmic and Exponential Functions | The Derivative of ln x, The Chain Rule for Logarithmic Functions, Exponential Functions, The Derivative of the Exponential Function, The Chain Rule for Exponential Functions, Exponential Growth and Decay
x - Logarithmic Differentiation | |
| 13 | 4.4 | Additional Exponential Models | Optimal Holding Time, Learning Curves
x - Logistic Curves | |
| Review 3 | ||||
| 14 | 5.1 | Antidifferentiation: The Indefinite Integral | Antidifferentiation, The General Antiderivative of a Function, Fundamental Property of Antiderivatives, The Indefinite Integral, Rules for Integrating Common Functions, Algebraic Rules for Indefinite Integration, Applied Initial Value Problems, Motion Along a Line | |
| 15 | 5.2 | Integration by Substitution | Using Substitution to Integrate a Function, An Application Involving Substitution
x - When Substitution Fails | |
| 16 | 5.3 | The Definite Integral and the Fundamental Theorem of Calculus | Area as a Limit of a Sum, Area Under a Curve, The Definite Integral, The Fundamental Theorem of Calculus, Integration Rules, Substituting in a Definite Integral, Net Change | |
| 17 | 5.4 | Applying Definite Integration: Area Between Curves and Average Value | Applying the Definite Integral, Area Between Two Curves, Net Excess Profit
x - Lorentz Curves | |
| Review 4 | ||||