Advance Maths: Part I: Linear Differential Equations
What you'll learn
- Advanced Mathematics required in technical courses/ graduate/ post graduate level
Requirements
- should have knowledge of basic algebra, trigonometry, derivatives and integration
Description
This course covers all the details of Linear Differential Equations (LDE) which includes LDE of second and higher order with constant coefficients, homogeneous equations, variation of parameters, Euler's/ Cauchy's equations, Legendre's form, solving LDEs simultaneously, symmetrical equations, applications of LDE.
This course covers a major and important part of LDE with many solved examples and exercises for students for self assessment. This course will undoubtedly help students in thorough preparation of this topic.
Exact differential equations, Equations reducible to exact form. Linear differential equations, Equations reducible to linear form, Bernoulli’s equation. Applications of Differential Equations to Orthogonal Trajectories, Newton’s Law of Cooling, Kirchhoff’s Law of Electrical Circuits, Rectilinear Motion, Simple Harmonic Motion, One dimensional Conduction of Heat.
1. Differential Equations of First Order and First Degree - 2. Linear Differential Equations with Constant Cofficients
LDE of nth order with constant coefficients, Method of variation of parameters, Cauchy’s & Legendre’s Differential Equations, Simultaneous & Symmetric simultaneous Differential Equations. Modeling of problems on bending of beams, whirling of shafts and mass spring systems.
Definition, To Find Complimentary Function, C.F. = YC , Particular Integral (P.I. = YP), Method of Variation of Parameters, Cauchy’s and Legendre’s Homogeneous Linear Differential Equations, Cauchy’s Homogeneous Linear Differential Equation, Legendre’s Homogeneous Equation, Modeling of Mass-Spring Systems, Free and Forced Damped and Undamped Systems, Introduction, Undamped and Damped Vibration
Who this course is for:
- 12+ graders, graduate/ post graduate students, diploma (polytechnic), engineering students
Instructor
Hi, I'm Seema Ranaware, Author of the book ' Victim to Victory ' holding a Master's degree in 'Organic chemistry' from the University of Pune, India and also a Master's degree in 'Mathematics' from NIMS University, India. I have been teaching mathematics to engineering students for 10 years.
When I was a student, I was fortunate to learn the 'supposed- to- be- a- boring- subject' in a very easy and interesting manner. Whenever I see students around me with acute dislike towards mathematics, I wish they could have learnt it in a better way, like I learnt from my teachers.
As a tutor, over 10 years, I discovered my passion for teaching and pursued it willingly. I am glad that I could make many students believe that applied mathematics is fun to learn.
Any student taking this online course will experience the same simplicity in the teaching method and, I'm sure, will gain the confidence in-class tests and an exam of the subject they appear at.
I am also a life coach and motivational trainer, in case you face challenges like exam fear, memory improvement, low self-confidence, etc share your concern.
Wish you all the best and happy learning!