2.3 Curves in space, Serret Frenet formulae (without proof), curvature, torsion, osculating plane, normal plane, and rectifying plane. Proof of theorems on derivative of sum and product are not expected. 2.2 Differentiation of vector function of single scalar variable. Vector algebra and vector calculus 2.1 Vector triple product (proof is not excepted), Product of 4 vectors. 1.2 De’Moivre’s theorem (without proof), Power and roots of exponential and trigonometric functions 1.3 Hyperbolic and logarithmic functions, inverse trigonometric functions 1.4 Separation of real and imaginary parts of all types of Functions 2. Idea of Argand diagram ( problems base on geometry are not expected ) Cartesian, polar and Exponential form of complex no. ![]() ![]() (ALL BRANCHES) SEM.: I APPLIED MATHEMATICS I Periods Per week, each period of 1 hour, Lectures 5, Practicals -, Tutorials – Evaluation System: Theory Paper (3 Hours): 100, Term Work:-, Practical:-, Oral:-, Total: 100 Detailed Syllabus: 1. Bharatiya Vidya Bhavan’s Sardar Patel College of Engineering.
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