Index of Pages – Click the titles
The stuff is more or less up now, but I need a few corrections here and there. Next step is to include YouTube videos (about 150)!!! That would be 1500 min = 25 hours of video. If you are in dire need of videos right now click on over to The Cinema on the Top navigation and see what you can find.
1 Review
1.1 Defining Functions, Domain, and Range – 4/29/09
1.2 Composition of Functions – 4/29/09
1.3 Inverse Functions and Reciprocal Functions – 4/29/09
1.4 Formulas for the Elementary Functions – 4/29/09
1.5 Graphing Elementary Functions and Transformations – 4/29/09
1.6 Linear Functions – 4/29/09
1.7 Continued Functions – 4/29/09
1.8 Absolute Value and Radicals – 4/29/09
1.9 Exponentials and Logarithms – 4/29/09
1.10 Trigonometric Functions – 4/29/09
1.11 Trigonometric Identities With Euler’s Formula – 4/29/09
1.12 Hyperbolic Identities and Osborne’s Rule – 4/29/09
1.13 Introduction to Limits and Continuity – 4/29/09
1.14 Basic Limit Properties – 4/8/09
1.15 Limits Around Discontinuities – 4/8/09
1.16 Limits on the Endpoints or Outside the Domain – 4/8/09
1.17 Limit Subtleties and Comments on Infinity – 4/8/09
1.18 Asymptotes – 4/8/09
1.19 Limits Involving Polynomials at Infinity – 4/8/09
1.20 Limits Involving Absolute Values – 4/8/09
1.21 Limits Involving Roots – 4/8/09
1.22 Indeterminate Oscillations – 4/8/09
1.23 The Squeeze Theorem – 4/8/09
2 Differentiation
2.1 Notion of a Derivative – 4/8/09
2.2 An Overview of Differentiation – 4/8/09
2.3 Derivative of a Constant Times a Function – 4/8/09
2.4 Derivatives From the Limit Definition – 4/8/09
2.5 The Power Rule – 4/8/09
2.6 The Product Rule – 4/1/09
2.7 The Reciprocal Rule – 4/8/09
2.8 The Quotient Rule – 4/1/09
2.9 The Chain Rule – 4/8/09
2.10 Derivatives of Rational Functions – 4/8/09
2.11 Derivatives of Exponentials and Logarithms – 4/8/09
2.12 Derivatives of the Trigonometric Functions – 4/1/09
2.13 Proof of Euler’s Formula Using Derivatives – 4/8/09
2.14 Derivatives of the Hyperbolic Functions – 4/2/09
2.15 Implicit Differentiation – 4/8/09
2.16 Logarithmic Differentiation – 4/8/09
2.17 Differentiation of Inverse Trig Functions – 4/8/09
2.18 Derivatives of Inverse Hyperbolic Functions – 4/8/09
2.19 When Derivatives Do Not Exist – 4/8/09
3 Integration
3.1 Summing Areas by Rectangles – 4/6/09
3.2 The Riemann Integral – 4/5/09
3.3 Some Basic Properties of Integrals – 4/5/09
3.4 The Fundamental Theorem of Calculus – 4/6/09
3.5 Integrals from Tables of Antiderivatives – 4/5/09
3.6 Integration by Parts – 4/5/09
3.7 Integration by Substitution – 4/5/09
3.8 Rationalization of the Integrand – 4/5/09
3.9 Integration by Partial Fractions – 4/5/09
3.10 The Fundamental Trigonometric Integrals – 4/6/09
3.11 The Fundamental Hyperbolic Integrals – 4/6/09
3.12 Integration of Trigonometric Products and Powers – 4/5/09
3.13 Reduction Formula and Rotations – 4/5/09
3.14 Integration by Trigonometric Substitution – 4/6/09
3.15 Integration by Hyperbolic Substitution – 4/6/09
4 Differential Equations
4.1 Introduction to Differential Equations – 4/5/09
4.2 Separable Differential Equations – 4/5/09
4.3 First Order Linear Differential Equations – 4/5/09
4.4 Exact Differential Equations – 4/5/09
4.5 Second Order Constant Coefficient Equations – 4/5/09
4.6 Nonhomogeneous Differential Equations – 4/5/09
4.7 Second Order Euler Equations – 4/5/09
5 Applications of Differentiation
5.1 Differentiation with Respect to a Function – 4/10/09
5.2 l’Hopital’s Rule and Indeterminate Forms – 4/10/09
5.3 Linearization – 4/10/09 5.4 Partial Derivatives – 4/10/09
5.5 The Chain Rule for Several Variables – 4/10/09
5.6 Differentiating an Integral – 4/10/09
5.7 Optimization in Calculus – 4/10/09
5.8 Newton’s Method – 4/10/09
5.9 Sketching Curves – 4/10/09
6 Multiple Integration
6.1 Multiple Integral Definitions – 4/13/09
6.2 Calculating Multiple Integrals – 4/13/09
6.3 Separable Integrals – 4/13/09
6.4 The Order of Integration and Fubini’s Theorem – 4/13/09
6.5 Changing Coordinates With the Jacobian – 4/13/09
7 Applications of Integration
7.1 Arc Length – 4/13/09
7.2 Volumes by Slices – 4/13/09
7.3 Surface Area of Revolution – 4/13/09
7.4 Applications of Multiple Integrals – 4/13/09
7.5 The Work Integral – 4/13/09
8 Infinite Series
8.1 Introduction to Infinite Series – 4/4/09
8.2 Geometric Series – 4/4/09
8.3 Telescoping Series – 4/4/09
8.4 The Harmonic Series – 4/4/09
8.5 The Integral Test – 4/3/09
8.6 p-Series Test – 4/5/09
8.7 The Ratio Test – 4/3/09
8.8 The Root Test – 4/3/09
8.9 The Alternating Series Test – 4/4/09
8.10 The Comparison Test – 4/4/09
8.11 Power Series and Taylor Series – 4/4/09
8.12 Euler’s Formula by Taylor Series – 4/5/09
8.13 Calculating Limits Using Taylor Series – 4/5/09
8.14 Accurate Computation Using Taylor Series – 4/5/09
8.15 The Binomial Series – 4/4/09
8.16 Infinite Products and the Basel Problem – 4/4/09
9 Vector Calculus
9.1 Vector Basics – 4/14/09
9.2 The Dot and Cross Product – 4/14/09
9.3 Vector Differentiation – 4/14/09
9.4 The Vector Operators – 4/14/09
9.5 Vector Identities With Index Notation – 4/02/09
9.6 Integration of Vector Fields and Line Integrals – 4/02/09
9.7 Surface Integrals – 4/14/09
9.8 Vector Volume Integrals – 4/14/09
9.9 Vector Calculus Theorems – 4/14/09
10 Advanced Integration Techniques
10.1 Universal Substitution – 4/12/09
10.2 Differentiating under the Integral Sign – 4/12/09
10.3 Integration under the Integral Sign – 4/12/09
10.4 Contour Integration – 4/12/09
10.5 Trig Integrals by Contour Integration – 4/12/09
10.6 Integration of functions over the real line – 4/12/09
11 Calculus of Variations
11.1 Deriving the Euler Lagrange Equations – 4/8/09
11.2 First Integrals of Euler Lagrange Equations – 4/8/09
11.3 The Shortest Path between Two Points – 4/8/09
11.4 Minimum Surface Between Concentric Rings – 4/8/09
11.5 The Brachistochrone – 4/8/09
11.6 The Catenary as an Isoperimetric Problem- 4/8/09
11.7 Lagrange’s Equations of Motion – 4/8/09
12 Higher Order and Fractional Calculus
12.1 The Definition of Higher Order Derivatives – 4/2/09
12.2 Higher Order Derivatives of Exponential Functions – 4/2/09
12.3 The nth Order Product Rule and Chain Rules – 4/2/09
12.4 Repeated Integration – 4/2/09
12.5 Fractional Derivatives of Power Functions – 4/2/09
12.6 The Fractional Integral – 4/2/09
12.7 The Fractional Derivative – 4/2/09
12.8 The Unity of Differentiation and Integration – 4/2/09
(No Ratings Yet)
Loading ...