It is an introductory mathematics course for biology students with the aim of training them to do quantitative analysis of biological systems. Students will be trained on how to use the language of mathematics to describe biological processes, how to write down simple mathematical equations for various phenomena occurring in biology....
It is an introductory mathematics course for biology students with the aim of training them to do quantitative analysis of biological systems. Students will be trained on how to use the language of mathematics to describe biological processes, how to write down simple mathematical equations for various phenomena occurring in biology....
Lecture 1 : Introduction
28mLecture 2 : Graphs and Functions
28mLecture 3 : Equations as Graphs
29mLecture 4 : Graphs : Exponential and Periodic Functions
29mLecture 5 : Graphs : Logarithmic and Other Functions?
29mLecture 6 : Images as 2D/3D Functions
29mLecture 7 : Functions and its Derivatives
28mLecture 8 : Computing Derivatives of Curves
28mLecture 9 : Rules for Calculating Derivatives?
29mLecture 10 : Understanding Derivatives?
28mLecture 11 : Curvature and Second Derivative?
28mLecture 12 : Plotting Curves
25mLecture 13 : Numerical Calculation of Derivatives?
31mLecture 14 : Function, Derivatives and Series Expansion
31mLecture 15 : L'Hopital's Rule and Partial Derivatives??
27mLecture 16 : Integration
29mLecture 17 : Integration : Rules
26mLecture 18 : Integration : Graphical Understanding
28mLecture 19 : Integration : More Examples??
30mLecture 20 : Integration : Product of Two Functions??
28mLecture 21 : Exponential Growth and Decay
29mLecture 22 : Scalars and Vectors
29mLecture 23 : Vectors : Position and Movement in 2D
28mLecture 24 : Cell Symmetry : Use of Polar Coordinates?
28mLecture 25 : Gradient, Forces and Flows : Part I
28mLecture 26 : Gradient, Forces and Flows : Part II
26mLecture 27 : Understanding Diffusion?
26mLecture 28 : Diffusion Constant and Einstein Relation 1905
28mLecture 29 : Diffusion Equation?
30mLecture 30 : Diffusion vs. Active Transport
27mLecture 31 : Nernst Equation
28mLecture 32 : Fourier Series : Part I
29mLecture 33 : Fourier Series : Part II
25mLecture 34 : Fourier Transform
29mLecture 35 : Introduction to Statistics
29mLecture 36 : Mean, Standard deviation and Distribution
25mLecture 37 : Frequency Distribution and Probability Distribution
29mLecture 38 : Binomial Distribution
28mLecture 39 : Normal Distribution
28mLecture 40 : Hypothesis Testing and Mathematical Modeling
30m