Dr. Manisha Ubale An experienced Universiy-teacher of Mathematics
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Hello! I am Dr. Manisha. I am a passionate Mathematics teacher. I have a vast experience of more than 2 decades of teaching Engineering Mathematics.

I can also guide Ph. D. scholars of Engineering or Science discipline for their Maths related difficulties or doubts. M. Tech. and Ph. D. students of Engineering having doubts in Advanced Mathematics topics may contact me for solving the same.

My typical class starts with an introduction of the topic, pre-requisites and some applications. Next the topic is gradually taught taking it from elementary to advanced level by solving number of problems. Summarising the class at the end some exercises,for practice are given.
Doubts in the exercises given for home work are solved in the next class.

Students describe my class as an easy to understand, engaging and fulfilling one.

An ability to understand difficulty faced by students in common and way to solve it makes me a great teacher. Also, I give a word of caution, to avoid commonly made mistakes to fare well in the exams. Patience to listen to the doubts of my students and give them solutions for the same is my way of working.

I can communicate fluently in English, Hindi, Gujarati and Marathi.

Subjects

  • Multivariable Calculus Beginner-Expert

  • LPP (Operations Research) Beginner-Intermediate

  • Engineering Mathematics (B.Tech)

  • Linear Algebra (Engineering Level) Beginner-Expert

  • Vector algebra and Integral calculus Beginner-Expert

  • SAT 2 Math level 1

  • SAT 2 Math level 2

  • SAT 1 Maths

  • Differential Equations and Linear Algebra Beginner-Expert

  • Numerical Analysis for Engineering Beginner-Expert

  • Interpolation Beginner-Expert

  • Discrete Mathematics for Engineering Beginner-Intermediate

  • Laplace Transforms - Applications Beginner-Expert

  • Fourier Series - Fourier Transforms Beginner-Expert

  • CBSE Maths 11 and 12 Expert

  • University Maths 1st and 2nd year Beginner-Expert

  • 11th-12th Applied Mathematics Grade 11-Grade 12

Experience

  • Associate Professor (Aug, 2011–Dec, 2023) at Indus University, Ahemdabad
    Taught Engineering Mathematics to undergraduate Engineering students.
  • Assistant Professor (Jul, 2003–Aug, 2011) at Institute of Technology, Nirma University, Ahmedabad
    Taught Engineering Mathematics to undergraduate Engineering students.
  • Lecturer (Aug, 1991–Jul, 2003) at The M S University of Baroda, Vadodara, Gujarat
    Taught undergraduate and post graduate students of Mathematics.

Education

  • Ph. D. (Jul, 1997–Jan, 2005) from The M S University of Baroda, Vadodara, Gujarat
  • M. Sc. (Jul, 1988–Jul, 1990) from The M S University of Baroda, Vadodara, Gujarat

Fee details

    ₹1,000–1,500/hour (US$11.79–17.69/hour)

    Fee will be charged based on level of content to be taught.

Courses offered

  • Engineering Mathematics

    • ₹25000
    • Duration: 40 Hours
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    I teach Engineering Mathematics of Semester-1, 2, 3 and 4. This includes (1) Multi variable Calculus, (2) Matrix algebra, (3) Linear algebra, (4) Differential Equations (Ordinary and Partial), (5) Integral transforms like Laplace, Fourier and Z transforms, (6) Numerical Analysis, (7) Probability and Statistics.

    I also teach advanced courses like (1) Fourier series, (2) Complex analytic functions, (3) Operations Research, (4) Discrete Mathematics.

    Course fees and Group size are negotiable.

  • (1) Multivariable Calculus, (2) Matrix algebra, (3) Vector Calculus, (4) Differential Equations, (5) Discrete Mathematics, (6) Numerical analysis (7) Complex analysis

    • ₹25000
    • Duration: 40 Hours
    • Delivery mode: Online
    • Group size: Individual
    • Instruction language: English
    • Certificate provided: No
    Broadly the above courses include the following topics:
    (1) Partial derivatives, jacobian, maxima-minima, Method of Lagrange's multipliers, errors and approximations, double and triple integrals and applications.
    (2) Matrices, row echelon and reduced row echelon form of a matrix, rank and inverse of a matrix, homogeneous and non-homogeneous system of linear equations, Gauss elimination method, Gauss-Jordan method, Eigen values and Eigen vector of a matrix, Caley-Hamilton theorem and its applications.
    (3) Vector functions, derivative and integral of a vector function, velocity and acceleration, directional derivatives, gradient, divergence and curl, solenoidal and irrotational vector field, line integral, work done, surface integral, volume integral, Green's theorem, Stoke's theorem, Gauss divergence theorem.
    (4) Formation of differential equations, First order differential equations - separable variables, homogeneous, exact equations, integrating factors, reducible to exact equations, linear equations, reducible to linear - Bernoulli's equation.
    Homogeneous and non-homogeneous linear differential equations of higher order with constant coefficients, complementary function, particular integral, method of variation of parameters, method of undetermined coefficients, linear equations with variable coefficients, Cauchy's equation, Legendre's equation.
    Partial differential equations, method of separation of variables, Lagrange's equation, method of direct integration, Wave equation, Heat equation, Laplace equation.
    (5) Discrete mathematical structures, Group, Lattices, Boolean algebra, Graph theory.
    (6) Finite differences, interpolation, forward, backward, central difference interpolation, Lagrange's interpolation, Newton's divided difference interpolation,numerical differentiation, numerical integration - Trapezoidal rule, Simpson's 1/3 and 3/8th rules, numerical solution of initial value problems - Taylor's series method, Euler's and modified Euler's method, Runge-Kutta method of fourth order.
    Solution of algebraic and transcendental equations-Bisection method, regula falsi method, Newton's method.
    Power method to find numerically largest Eigen value of a matrix.
    (7) Elementary functions of complex variables, Analytic function, Cauchy-Riemann equations, conformal mappings, bilinear transformation, Taylor's series, Laurent's series, singularities and their types, residues, poles, Cauchy's integral theorem and formula, Cauchy-Goursat theorem.

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