About this Live Course
This crash course will cover all the concepts of Partial Differential Equations, Differential Calculus & Calculus Of Complex Functions & Construction Of Analytic Functions under the Engineering Mathematics syllabus. This course is specially designed to help you understand the concepts you need help in. This course will help you in solving numericals, understand concepts & prepare for your internal/exams.All doubts related to the topic will be clarified during the sessions.
Online Classes Advantage with Great Learning Academy:
- Live Interactive Classes
- Structured Classes & Schedule
- Access recording of missed classes
- PYQs and Practice questions
Concepts covered
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Formation of PDEs by the elimination of arbitrary constants/functions
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Applications to evolutes & involutes
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Taylor’s & Maclaurin’s series expansions
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Indeterminate forms - L’Hospital’s rule
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Jacobians
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Cauchy-Riemann equations in Cartesian & polar
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...
Class Schedule
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Formation of PDEs by elimination ofarbitrary constants / functions. Solution of non-homogeneous PDE by direct integrationWed, 25 Nov, 7:00 PM IST 2 hrs
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Solution of non-homogeneous PDE by direct integration, Homogeneous PDEs involving derivative with respect to one independent variable only. Solution of Lagrange’s linear PDEThu, 26 Nov, 7:00 PM IST 2 hrs
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Solution of Lagrange’s linear PDE - Derivation of one dimensional heat and wave equations and solutions by the method of separation of variables functionsFri, 27 Nov, 7:00 PM IST 2 hrs
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Polar curves - angle between the radius vector and tangent, angle between two curves, pedal equation (for polar curves only)Mon, 30 Nov, 7:00 PM IST 2 hrs
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Taylor’s and Maclaurin’s series expansions for one variableWed, 02 Dec, 7:00 PM IST 2 hrs
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Indeterminate forms - L’Hospital’s ruleThu, 03 Dec, 7:00 PM IST 2 hrs
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Curvature and radius of curvature- Cartesian and polar forms ,Centre and circle of curvature (All without proof-formulae only) -Applications to evolutes and involutes.Sat, 05 Dec, 7:00 PM IST 2 hrs
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Partial differentiation: Total derivatives-differentiation of composite functions - 1Mon, 07 Dec, 3:00 PM IST 2 hrs
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Partial differentiation: Total derivatives-differentiation of composite functions - 2Tue, 08 Dec, 7:00 PM IST 2 hrs
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Jacobians simple problemsWed, 09 Dec, 7:00 PM IST 2 hrs
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Analytic functions: Cauchy-Riemann equations in Cartesian and polar formsThu, 10 Dec, 7:00 PM IST 1 hr
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Construction of analytic functions: Milne-Thompson method-Problems.Fri, 11 Dec, 7:00 PM IST 2 hrs
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Maxima and minima for a function of two variables; Method of Lagrange multipliers with one subsidiary conditionSat, 12 Dec, 7:00 PM IST 2 hrs
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Properties and construction of analytic functions and problems.Tue, 15 Dec, 7:00 PM IST 2 hrs
About the Mentor
Ms. Ramya R
M.Tech. Communication Systems
Faculty for Engineering Mathematics