About Maths Training:
Maths Tutor from kernel training is having a good experience to take Math Class and complete the Math Courses on time with good understanding and practices. Mathematics plays a vital role in the world of sciences. It deals with different operations, shape, size, quantity and arrangement. Mathematics is all around us, the things we do daily in our lives such as games, mobiles, smart gadgets, art, money, temperature sensing, medical, accounts, engineering and even in sports. The utilization of mathematics classes increasing drastically from tradition to this new era, where everything is automated. Math training will help you to understand all advance level of skills with ease.
Why Learn Math Courses?
Mathematics classes are the foundation for your advance career. Everything in this advance world is based on math class. To perform any steps, you must be well versed with the basic mathematics formulas, math questions and math equations. If you are good at mathematics it will be beneficial for you to crack the competitive exams. Even for your higher studies, you have to write the entrance exams, which will be purely based on your arithmetics, logical and reasoning abilities.
Sound knowledge in mathematics classes will lead you to clear the highly competitive exams and can grab the government job of your choice. Numerous opportunities are waiting for students, who has good knowledge in arithmetics and logical skills.
Mathematics Tutorial Details:
At kernel training, we provide a platform for the students to learn and enhance their logical and arithmetic skills. We have well qualified professional from reputed educational institutions. They provide you the easy way to learn and understand the subject without any hurdles. If you are poor at answering also, our instructors know how to deal with the students making them understand the subject as fast as they can with various real time examples.
Maths course Target:
- Able to solve all higher levels of math equations with your own without using the calculators.
- Able to compare the real world with the mathematical world and provide the appropriate results.
- Able to solve the arithmetic and logical operations as accurate as calculators.
- Able to understand and solve problems on new functions and operations included in the syllabus like Relations and Functions, Algebra, Calculus, Vectors and Three-Dimensional Geometry, Linear Programming, and Probability.
Mathematics Tutorial Targeted Audience:
- Students who want to learn basics and advanced concepts of Mathematics.
- Engineering students, who want to brush up their knowledge in mathematics.
- Any one, who want to learn high level of Mathematics classes.
Mathematics Tutorial Prerequisites:
- Good knowledge in basic math equations and operation of Mathematics.
- Math courses seekers
Mathematics Training Format:
- Math training at Kernel Technology will be live instructor led lecture and explanation.
- The Maths online training course will end with practicing of different exercise and some other exercise and math questions from different sources which are going to expect in exams.
- All math training classes are interactive.
- Mathematics certification of the math courses after successful completion of Mock Tests.
Mathematics Career Opportunities:
- After completion of this math courses, you can adopt a teaching professional.
- After the end of this math class, you can go for government job preparation, where you will get numerous opportunities to join in.
- Can write entrance exams and go for higher education.
This certification will help you as a proof to write high level of entrance exam and apply for higher education. We provide you course completion certificate at the end of this Maths course.
Mathematics Course Curriculum:
Module: 1 Relations and Functions
Goal Set: After completion of this module you need to learn about types of relations, functions, inverse trigonometric functions.
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.
Inverse Trigonometric Functions: Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.
Module: 2 Algebra
Goal Set: After completion of this module you need to learn about matrices and determinants concepts.
Matrices: Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
Determinants: Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of systems of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
Module: 3 Calculus
Goal Set: After completion of this module you need to be learn about continuity and differentiability, derivatives of logarithmic and exponential functions, applications of derivatives, integrals, application of integrals and differential equations.
Continuity and Differentiability: Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.
Derivatives of logarithmic and exponential functions: Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretation.
Applications of Derivatives: Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
Integrals: Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
Applications of the Integrals: Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses (in standard form only), Area between any of the two above said curves (the region should be clearly identifiable).
Differential Equations: Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given.Solution of differential equations by the method of separation of variables solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:
dy/dx + py = q, where p and q are functions of x or constants.
dx/dy + px = q, where p and q are functions of y or constants.
Module: 4 Vectors and Three-Dimensional Geometry
Goal Set: After completion of this module you need to be learn about vectors, three dimensional geometry.
Vectors: Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors.
Three – dimensional Geometry: Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.
Module: 5 Linear Programming
Goal Set: After completion of this module you need to be learn about constraints, objective function, L.P problems and other important concepts.
Topics: Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded and unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
Module: 6 Probability
Goal Set: After completion of this module you need to be learn about types of probability, Baye’s theorem and Binomial distribution.
Topics: Conditional probability, multiplication theorem of probability. Independent events, total probability, Baye’s theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.
From where our learners come from?
Kernel training covers the global world and we have trainers and students belongs to every corner of the world. Either from developed or undeveloped countries. Some of the countries from where our trainers and students come form are – UAE, United Kingdom, United States, Singapore, Australia, Mexico, Germany, Philippines, Jersey, Ireland, Russia, Canada, New York, Malaysia, New China, Egypt, Germany, France, Turkey, India, Kenya and Colombia.
Mathematics Training Features:
How it Works?
- This is a Maths Online training with instructor led Live and interactive sessions.
- This Maths online training contains 15-hours of practical Assignments, This practical math questions can be done at your own pace.
- You will have access to 24×7 Technical support. You can request for assistance for any problem you might face or for any clarifications you may require during the course. The trainer may also provide you important questions which will going to appear in exams.
- At the end of the Mathematics course online, you have to practice on each and every model of the syllabus and clear the Mock tests. You will receive a grade and a verifiable Mathematics certification on the successful completion of this Mock tests.
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