Engineering Mathematics: Differential and integral calculus. Partial and total differentials. Composite functions. Systems of linear equations. Matrices and determinants, rank, Cramer's rule. Differential equations. Homogeneous and non homogeneous. Power series. Theory of complex variables, Cauchy -Reimann equations. Cauchy's residue theorem. Singular points, evaluation of residues.
Probability: Conditional probability, mean, median, mode and standard deviation; random variables; Uniform, Normal, Exponential, Poisson and Binomial distributions.
Biomedical Engineering:
Bioelectricity : Resting Potential. Action Potential. Nernst Equation. Propagation in myelinated and unmyelinated nerve fibres. Origin of biopotential signals like ECG, EEG, EMG and EOG. Bio-potential electrodes.
Medical Instrumentation and Equipment: General characteristics of medical instruments. Analytical Instrumentation. ECG, EEG, EMG, Cardiac Pacemaker, Defibrillator, X-ray machine,Hemodialyses, Ventilator, Heart-lung Machine, and Surgical diathermy.
Biomechanics and Biomaterials: Mechanical properties of bone and soft tissues. Viscoelasticity. Analysis of forces in skeletal joints. Mechanics of blood flow in the cardiovascular system. Biocompatibility. Characteristics of an ideal bio-material. Metals, polymers and ceramics.
Biomedical signal processing and Imaging: QRS detection methods. Rhythm analysis. ECG pattern recognition. ECG data compression algorithms. Detection of resting rhythms. Ultrasound, CT, MRI, PET. Techniques of Image enhancement and reconstruction.
Biological Control Systems: General features of biological control systems. Regulation of body temperature, blood pressure, and heart rate.