NOC:Introductory Mathematical Methods for Biologists (USB)
Media Storage Type : 64 GB USB Stick
NPTEL Subject Matter Expert : Dr. Ranjith Padinhateeri
NPTEL Co-ordinating Institute : IIT Bombay
NPTEL Lecture Count : 40
NPTEL Course Size : 36 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
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