Learn · Introductory Mathematical Methods for Biologists
Lecture 20 of 40Week 4: Integration and their Graphical Understanding
Lecture 20 : Integration : Product of Two Functions
Prof. Ranjit Padinhateeri · IIT Bombay
Credits and licence
- From
- Introductory Mathematical Methods for Biologists, IIT Bombay (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Lecture 1 : Introduction
- Lecture 2 : Graphs and Functions
- Lecture 3 : Equations as Graphs
- Lecture 4 : Graphs : Exponential and Periodic Functions
- Lecture 5 : Graphs : Logarithmic and Other Functions
- Lecture 6 : Images as 2D/3D Functions
- Lecture 7 : Functions and its Derivatives
- Lecture 8 : Computing Derivatives of Curves
- Lecture 9 : Rules for Calculating Derivatives
- Lecture 10 : Understanding Derivatives
- Lecture 11 : Curvature and Second Derivative
- Lecture 12: Plotting Curves
- Lecture 13: Numerical Calculation of Derivatives
- Lecture 14: Function, Derivatives and Series Expansion
- Lecture 15: L'Hopital's Rule and Partial Derivatives
- Lecture 16 : Integration
- Lecture 17 : Integration : Rules
- Lecture 18 : Integration : Graphical Understanding
- Lecture 19 : Integration : More Examples
- Lecture 20 : Integration : Product of Two Functions
- Lecture 21 : Exponential Growth and Decay
- Lecture 22 : Scalars and Vectors
- Lecture 23 : Vectors : Position and Movement in 2D
- Lecture 24 : Cell Symmetry : Use of Polar Coordinates
- Lecture 25 : Gradient, Forces and Flows : Part I
- Lecture 26 : Gradient, Forces and Flows : Part II
- Lecture 27 : Understanding Diffusion
- Lecture 28 : Diffusion Constant and Einstein Relation 1905
- Lecture 29 : Diffusion Equation
- Lecture 30 : Diffusion vs. Active Transport
- Lecture 31 : Nernst Equation
- Lecture 32 : Fourier Series : Part I
- Lecture 33 : Fourier Series : Part II
- Lecture 34 : Fourier Transform
- Lecture 35 : Introduction to Statistics
- Lecture 36 : Mean, Standard deviation and Distribution
- Lecture 37 : Frequency Distribution and Probability Distribution
- Lecture 38 : Binomial Distribution
- Lecture 39 : Normal Distribution
- Lecture 40 : Hypothesis Testing and Mathematical Modeling