Engineering Mathematics  | Linear Algebra  | Matrices and determinants; Systems of linear equations; Eigenvalues and Eigenvectors  | 
Calculus  | Limits, continuity, differentiability; Partial derivatives, maxima and minima; Sequences and series; Tests for convergence  | 
Differential Equations  | Linear and non-linear first-order ODEs; Higher-order ODEs with constant coefficients; Cauchy’s and Euler’s equations; Laplace transforms  | 
Probability and Statistics  | Mean, median, mode, standard deviation; Random variables; Poisson, normal, and binomial distributions; Correlation and regression analysis  | 
Numerical Methods  | Solutions of linear and non-linear algebraic equations; Integration by trapezoidal and Simpson’s rule; Single-step method for differential equations  | 
General Biology  | Biochemistry  | Biomolecules (structure and function); Biological membranes; Metabolism (carbohydrates, lipids, amino acids, nucleic acids); Photosynthesis, respiration, electron transport chain; Enzymes (classification, kinetics, inhibition)  | 
Microbiology  | Bacterial classification and diversity; Microbial ecology; Viruses (structure, classification); Microbial growth and nutrition; Antibiotics and antimicrobial resistance  | 
Immunology  | Innate and adaptive immunity; Antibody structure/function; Antigen-antibody reactions; T and B cell development; Immune response regulation; Vaccines and immunization  | 
Genetics, Cellular and Molecular Biology  | Genetics and Evolutionary Biology  | Mendelian inheritance; Gene interaction, linkage, recombination; Microbial genetics (transformation, transduction, conjugation); Genetic drift, species, speciation  | 
Cell Biology  | Prokaryotic and eukaryotic cell structure; Cell cycle and growth control; Cell signaling; Post-translational modifications; Cell death and autophagy  | 
Molecular Biology  | Gene structure and mutation; Gene expression regulation; Nucleic acid processes (replication, transcription, splicing, translation); RNA interference; DNA repair  | 
Fundamentals of Biological Engineering  | Engineering Principles  | Material/energy balances for reactive and non-reactive systems; Stoichiometry; Degree of reduction; Electron balance; Oxygen demand  | 
Classical Thermodynamics and Bioenergetics  | Thermodynamics laws; Reaction equilibria; Ligand binding; Metabolic pathways; Redox reactions  | 
Transport Processes  | Fluid flow (Newtonian/non-Newtonian); Mixing; Molecular diffusion; Oxygen transfer; Heat transfer; Heat exchangers  | 
Bioprocess Engineering and Process Biotechnology  | Bioreaction Engineering  | Rate law; Reactor types (batch, mixed flow, plug flow); Enzyme immobilization; Kinetics (cell growth, substrate utilization, product formation); Optimization and scale-up  | 
Upstream and Downstream Processing  | Media formulation, optimization; Sterilization; Filtration; Centrifugation; Cell disruption; Chromatography (ion exchange, gel filtration, affinity, HPLC, FPLC); Extraction, adsorption, drying  | 
Instrumentation and Process Control  | Pressure, temperature, flow measurement; Valves; Feedback/feedforward control; Types of controllers (proportional, derivative, integral)  | 
Plant, Animal and Microbial Biotechnology  | Plants  | Totipotency; Plant tissue culture; Production of secondary metabolites; Transgenic plants; Somaclonal variation  | 
Animals  | Animal cell culture; Hybridoma technology; Stem cell technology; Animal cloning; Transgenic, knock-in, knock-out animals  | 
Microbes  | Production of biomass, biofuels, bioplastics; Industrial enzymes, antibiotics; Large-scale production of recombinant proteins  | 
Recombinant DNA Technology and Other Tools  | Recombinant DNA Technology  | Restriction/modification enzymes; Vectors (plasmids, bacteriophage, cosmids, Ti plasmid); Gene isolation and cloning; CRISPR-Cas  | 
Molecular Tools  | PCR; DNA/RNA labeling, sequencing; DNA fingerprinting, RAPD, RFLP; Gene transfer technologies  | 
Analytical Tools  | Microscopy (light, electron, confocal); Spectroscopy (UV, IR, MS, NMR); Electrophoresis; Microarrays; ELISA, RIA, flow cytometry  | 
Computational Tools  | Bioinformatics resources and search tools; Sequence/structure databases; Sequence analysis, alignment, phylogeny; Genomics, proteomics, metabolomics; Metagenomics  |