Common Subjects

# Crash Course with PYQs on Engineering Math - Differential Calculus, Complex functions, PDEs

Free

Course cost

Total Live Classes
14

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.

- Live Interactive Classes
- Structured Classes & Schedule
- Access recording of missed classes
- PYQs and Practice questions

#### Concepts covered

• Formation of PDEs by the elimination of arbitrary constants/functions
• Applications to evolutes & involutes
• Taylor’s & Maclaurin’s series expansions
• Indeterminate forms - L’Hospital’s rule
• Jacobians
• Cauchy-Riemann equations in Cartesian & polar
• ...

## Class Schedule

• Formation of PDEs by elimination ofarbitrary constants / functions. Solution of non-homogeneous PDE by direct integration
Wed, 25 Nov, 7:00 PM IST 2 hrs
• Solution of non-homogeneous PDE by direct integration, Homogeneous PDEs involving derivative with respect to one independent variable only. Solution of Lagrange’s linear PDE
Thu, 26 Nov, 7:00 PM IST 2 hrs
• Solution of Lagrange’s linear PDE - Derivation of one dimensional heat and wave equations and solutions by the method of separation of variables functions
Fri, 27 Nov, 7:00 PM IST 2 hrs
• 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
• Curvature and radius of curvature- Cartesian and polar forms ,Centre and circle of curvature (All without proof-formulae only) -Applications to evolutes and involutes.
Tue, 01 Dec, 7:00 PM IST 2 hrs
• Taylor’s and Maclaurin’s series expansions for one variable
Wed, 02 Dec, 7:00 PM IST 2 hrs
• Indeterminate forms - L’Hospital’s rule
Thu, 03 Dec, 7:00 PM IST 2 hrs
• Partial differentiation: Total derivatives-differentiation of composite functions - 1
Fri, 04 Dec, 7:00 PM IST 2 hrs
• Partial differentiation: Total derivatives-differentiation of composite functions - 2
Mon, 07 Dec, 7:00 PM IST 2 hrs
• Maxima and minima for a function of two variables; Method of Lagrange multipliers with one subsidiary condition
Tue, 08 Dec, 7:00 PM IST 2 hrs
• Jacobians simple problems
Wed, 09 Dec, 7:00 PM IST 2 hrs
• Analytic functions: Cauchy-Riemann equations in Cartesian and polar forms
Thu, 10 Dec, 7:00 PM IST 2 hrs
• Construction of analytic functions: Milne-Thompson method-Problems.
Fri, 11 Dec, 7:00 PM IST 2 hrs
• Properties and construction of analytic functions and problems.
Mon, 14 Dec, 7:00 PM IST 2 hrs

### Ms. Ramya R

M.Tech. Communication Systems

Faculty for Engineering Mathematics

#### Profile

Ramya has been working as a private tutor for last 3 years. Ramya is a consummate master of Mathematics, teaching college curricula. Her specialties comprise of: Algebra, trigonometry, Calculus, differential calculus, transforms and Basic Math. She also tutors a wide range of standardized tests.

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