Calculus

ඊට පස්සේ එනවා: Precalculus, Trigonometry

පාඨමාලාව

1. Limits and continuity

   20 පාඩම්
   ∫Limits∫Calculus∫A Preview of Calculus∫Introduction to Calculus∫Review of Functions∫Basic Classes of Functions∫Trigonometric Functions∫Inverse Functions∫Exponential and Logarithmic Functions∫The notion of limit∫The Limit of a Function∫Finding Limits: Numerical and Graphical Approaches∫The Limit Laws∫Finding Limits: Properties of Limits∫The Precise Definition of a Limit∫Limit (mathematics)∫Continuity∫Continuous function∫Limits, continuity, and differentiability∫Limits at Infinity and Asymptotes
   විභාගය සඳහා පිවිසෙන්න

2. Derivatives: the definition and the rules

   18 පාඩම්
   ∫Derivatives∫How do we measure velocity?∫The derivative of a function at a point∫Defining the Derivative∫Derivative∫The derivative function∫The Derivative as a Function∫Interpreting, estimating, and using the derivative∫Derivatives as Rates of Change∫The second derivative∫Elementary derivative rules∫Differentiation rules∫The product and quotient rules∫Product rule∫Quotient rule∫The sine and cosine functions∫Derivatives of Trigonometric Functions∫Derivatives of other trigonometric functions
   විභාගය සඳහා පිවිසෙන්න

3. The chain rule and implicit differentiation

   6 පාඩම්
   ∫The chain rule∫Implicit differentiation∫The Chain Rule∫Derivatives of Exponential and Logarithmic Functions∫Derivatives of Inverse Functions∫Derivatives of functions given implicitly
   විභාගය සඳහා පිවිසෙන්න

4. Applications of derivatives

   20 පාඩම්
   ∫Maxima and minima∫Related rates and optimisation∫Related rates∫The tangent line approximation∫Linear Approximations and Differentials∫Linear approximation∫Using derivatives to identify extreme values∫Maxima and Minima∫Global optimization∫The Mean Value Theorem∫Mean value theorem∫Derivatives and the Shape of a Graph∫Using derivatives to describe families of functions∫Curve sketching∫Applied optimization∫Applied Optimization Problems∫Optimization (mathematics)∫Using derivatives to evaluate limits∫L'Hôpital's rule∫Newton’s Method
   විභාගය සඳහා පිවිසෙන්න

5. Integrals and the fundamental theorem

   19 පාඩම්
   ∫Integrals∫Definite integrals∫Antiderivatives∫Antiderivative∫Approximating Areas∫Riemann sums∫Riemann sum∫The Definite Integral∫Integral∫Determining distance traveled from velocity∫The Fundamental Theorem of Calculus∫Fundamental theorem of calculus∫The Second Fundamental Theorem of Calculus∫Constructing accurate graphs of antiderivatives∫Integration Formulas and the Net Change Theorem∫Substitution∫Integration by substitution∫Integrals Involving Exponential and Logarithmic Functions∫Integrals Resulting in Inverse Trigonometric Functions
   විභාගය සඳහා පිවිසෙන්න

6. Techniques of integration

   11 පාඩම්
   ∫Integration techniques: substitution, parts, partial fractions∫Integration by parts∫Trigonometric Integrals∫Trigonometric substitution∫Partial Fractions∫Partial fraction decomposition∫Other Strategies for Integration∫Other options for finding algebraic antiderivatives∫Numerical Integration∫Improper Integrals∫Improper integral
   විභාගය සඳහා පිවිසෙන්න

7. Applications of integration

   18 පාඩම්
   ∫Applications of integration: area, volume, arc length∫Areas between Curves∫Using definite integrals to find area and length∫Determining Volumes by Slicing∫Using definite integrals to find volume∫Volumes of Revolution: Cylindrical Shells∫Solid of revolution∫Arc Length of a Curve and Surface Area∫Arc length∫Physical Applications∫Physics applications: work, force, and pressure∫Moments and Centers of Mass∫Density, mass, and center of mass∫Integrals, Exponential Functions, and Logarithms∫Calculus of the Hyperbolic Functions∫Exponential Growth and Decay∫Exponential growth∫Logistic function
   විභාගය සඳහා පිවිසෙන්න

8. Sequences and series

   21 පාඩම්
   ∫Infinite series and convergence tests∫Series and sums∫Taylor series∫Sequences∫Infinite Series∫Geometric sums∫The Divergence and Integral Tests∫Comparison Tests∫Alternating Series∫Ratio and Root Tests∫Convergence tests∫Power Series and Functions∫Power series∫Properties of Power Series∫Extending local linearization∫Taylor polynomials∫Taylor and Maclaurin Series∫Maclaurin series∫Working with Taylor Series∫Finding and using Taylor series∫Quantifying the accuracy of approximations
   විභාගය සඳහා පිවිසෙන්න

මිල

පාඨමාලා ඉක්මනින් මිලදී ගැනීම සඳහා විවෘත. පාඩම් හා සෑම පාඨමාලාව පළමු ප්රශ්න විචාරය දැන් විවෘත වේ.

ඔයාගේ වැඩේට පොඩි කෑල්ලක් පරීක්ෂා කරන්න