Review of inverse functions. Inverse trigonometric functions, The derivative of inverse trigonometric functions. Hyperbolic functions, Inverse hyperbolic functions and their derivatives. Integrals involving inverse trigonometric and inverse hyperbolic functions, Integration by Parts. Trigonometric Integrals, Trigonometric Substitution, Integrating Rational Functions by Partial Fractions, Types of Improper Integrals and Methods of Evaluation, Sequences and their limits, monotone sequences, Infinite series, The comparison, Ratio and Root tests, Alternating series, Conditional convergence. Maclaurin and Taylor series, and their approximation, Power series, Differentiating and Integrating Power series, Polar coordinates, Curves defined by parametric equations, Tangent lines and length for parametric and polar curves, Area in polar coordinates.
Newtonian mechanics, and thermal Physics, with topics include: Physics and measurement, Vectors, kinematics and dynamics of motion of a single particle in one and two dimensions, work and energy, system of particles, linear momentum and collisions, kinematics and dynamics of rotational motion, equilibrium of rigid bodies, and elasticity, fluid static and fluid dynamics, oscillatory motion, wave motion, and temperature and thermal equilibrium., Waves, Temperature, Heat.
Fundamentals of Materials
The workshop training program is designed to satisfy the following
Objectives: Teaching safety rules and regulations on-site in an industrial environment Proper use of working tools, instruments, and machines, Introducing basic workshop practices, production, labor, and time-requirements of workshop operations. The students are introduced to training programs in nine workshops: electrical wiring, welding, forging, fitting , turning and milling, carpentry, plumbing auto-mechanics, and casting. The student is to spend 6 hours of training in every workshop
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