Basic English Grammar, Tenses, Articles and Adjectives, Prepositions, Conjunctions, Verb-Subject Agreement, Vocabulary: Idioms and Words in Context, Reading Comprehension, Sequencing of Ideas, Critical Reasoning and Verbal Deduction

Data Interpretation: Tables, Graphs and Charts, Numerical Computation and Estimation, Ratios, Percentages, Powers and Exponents, Logarithms, Permutations and Combinations, Mensuration, Geometry and Elementary Statistics, Probability

Logic: Deduction and Induction, Analogy, Numerical Relations and Reasoning

Transformation of Shapes: Translation, Rotation, Scaling, Mirroring, Assembling and Grouping, Paper Folding, Cutting and Inking, Patterns in 2 and 3 Dimensions

Matrix Algebra and Rank, Systems of Linear Equations, Eigenvalues and Eigenvectors, Cayley-Hamilton Theorem

Mean Value Theorems, Maxima and Minima, Partial Derivatives and Multiple Integrals, Gradient, Divergence and Curl, Line, Surface and Volume Integrals, Stokes', Gauss' and Green's Theorems

First Order Equations: Linear and Nonlinear, Higher Order Linear Equations with Constant Coefficients, Cauchy's and Euler's Equations, Initial and Boundary Value Problems, Laplace Transforms

Analytic Functions, Cauchy-Riemann Equations, Cauchy's Integral Theorem and Integral Formula, Taylor and Laurent Series, Residue Theorem

Sampling Theorems and Conditional Probability, Mean, Median, Mode and Standard Deviation, Random Variables and Distributions, Binomial, Poisson and Normal Distributions, Correlation and Regression Analysis

Numerical Solutions of Linear and Nonlinear Algebraic Equations, Iterative Methods and Convergence, Numerical Integration and Differentiation, Single and Multi-step Methods for ODEs

Resistive, Capacitive and Inductive Sensors, Optical and Piezoelectric Sensors, Hall Effect and Ultrasonic Sensors

Measurement of Pressure, Flow, Temperature and Level, Measurement of Force, Torque and Velocity, pH, Conductivity and Viscosity Measurement

Signal Conditioning and Telemetry, Data Acquisition Systems, Smart Sensors and Industrial Buses

Diode Circuits and Rectifiers, BJT and MOSFET Amplifiers, Op-Amp Applications: Filters, Comparators, Oscillators, Precision Rectifiers and Instrumentation Amplifiers

Combinational and Sequential Logic, Flip-Flops, Counters, Registers, ADC and DAC, Microprocessors and Microcontrollers Basics, Memories

Signal Classification and Operations, Convolution and Impulse Response, Periodicity and Energy/Power Signals

Fourier Series and Fourier Transform, Laplace and Z-Transforms, Sampling Theorem and Reconstruction

DC and AC Bridges, Measurement of R, L, C and Frequency

Oscilloscopes and Spectrum Analysers, Digital Multimeters and Counters, Instrument Transformers and Measurement Errors, Shielding and Grounding

Block Diagrams and Transfer Functions, Routh-Hurwitz Stability, Root Locus, Bode and Nyquist Analysis, State Space Basics

Control Valves and Final Control Elements, P, PI and PID Controllers and Tuning, Cascade, Feedforward and Ratio Control, Programmable Logic Controllers

Amplitude and Frequency Modulation, Pulse Modulation and Demodulation, Digital Communication Basics, Noise and SNR

Interference and Applications, Fiber Optic Sensors and Communication, Lasers in Instrumentation, Spectrophotometry and Interferometry