NOC:Introductory Mathematical Methods for Biologists


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