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Course10210106740 lectures

Introductory Mathematical Methods for Biologists

Prof. Ranjit Padinhateeri · IIT Bombay

Start with lecture 1 At NPTEL

Lectures

Week 1: Introduction, Graphs and Functions

  1. Lecture 1 : Introduction Video
  2. Lecture 2 : Graphs and Functions Video
  3. Lecture 3 : Equations as Graphs Video
  4. Lecture 4 : Graphs : Exponential and Periodic Functions Video
  5. Lecture 5 : Graphs : Logarithmic and Other Functions Video

Week 2: Functions and its Derivatives, Computing Derivatives of Curves

  1. Lecture 6 : Images as 2D/3D Functions Video
  2. Lecture 7 : Functions and its Derivatives Video
  3. Lecture 8 : Computing Derivatives of Curves Video
  4. Lecture 9 : Rules for Calculating Derivatives Video
  5. Lecture 10 : Understanding Derivatives Video

Week 3: Plotting Curves, Numerical Calculation of Derivatives, Partial Derivatives

  1. Lecture 11 : Curvature and Second Derivative Video
  2. Lecture 12: Plotting Curves Video
  3. Lecture 13: Numerical Calculation of Derivatives Video
  4. Lecture 14: Function, Derivatives and Series Expansion Video
  5. Lecture 15: L'Hopital's Rule and Partial Derivatives Video

Week 4: Integration and their Graphical Understanding

  1. Lecture 16 : Integration Video
  2. Lecture 17 : Integration : Rules Video
  3. Lecture 18 : Integration : Graphical Understanding Video
  4. Lecture 19 : Integration : More Examples Video
  5. Lecture 20 : Integration : Product of Two Functions Video

Week 5: Vectors: Position and Movement in 2D, Cell Symmetry : Use of Polar Coordinates

  1. Lecture 21 : Exponential Growth and Decay Video
  2. Lecture 22 : Scalars and Vectors Video
  3. Lecture 23 : Vectors : Position and Movement in 2D Video
  4. Lecture 24 : Cell Symmetry : Use of Polar Coordinates Video
  5. Lecture 25 : Gradient, Forces and Flows : Part I Video

Week 6: Gradient, Forces and Flows, Understanding Diffusion

  1. Lecture 26 : Gradient, Forces and Flows : Part II Video
  2. Lecture 27 : Understanding Diffusion Video
  3. Lecture 28 : Diffusion Constant and Einstein Relation 1905 Video
  4. Lecture 29 : Diffusion Equation Video
  5. Lecture 30 : Diffusion vs. Active Transport Video

Week 7: Introduction to Fourier series, Fourier transform and Statistics

  1. Lecture 31 : Nernst Equation Video
  2. Lecture 32 : Fourier Series : Part I Video
  3. Lecture 33 : Fourier Series : Part II Video
  4. Lecture 34 : Fourier Transform Video
  5. Lecture 35 : Introduction to Statistics Video

Week 8: Basics of Bio-statistics

  1. Lecture 36 : Mean, Standard deviation and Distribution Video
  2. Lecture 37 : Frequency Distribution and Probability Distribution Video
  3. Lecture 38 : Binomial Distribution Video
  4. Lecture 39 : Normal Distribution Video
  5. Lecture 40 : Hypothesis Testing and Mathematical Modeling Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Biotechnology
Teacher
Prof. Ranjit Padinhateeri
Level
Undergraduate
Language
English
Subjects
Biology
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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