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Vector calculus lessons in Geneva

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Abdul Musavvir - India26Fr
26FrVectors and 3-D geometry 1:- algebra of vectors, scalar and vector products, 3-d co-ordinate system, plain and straight line in space
I can provide you classes from the basic levels to advance levels of all these topics listed above (see heading). Students need not be panic. Mathematics is very easy to learn. I will teach you with good examples Nowadays, mathematics is used as interdisciplinary in various other fields like physics, biology, and so on. Vectors and 3-d geometry includes :- Algebra of vectors:- representation of vectors, types of vectors, algebra vectors, position vector, section formula, collinear and non collinear vectors, collinear points, components of vector, coplanarity, linear independence and dependence, vector along bisector. Scalar and vector products of two vectors :- the scalar or dot product and its properties, angle between two vectors, applications, tetrahedron, vector or cross product and its properties, applications, area of quadrilateral, moment of a force, moment of a couple. Scalar and vector products of three vectors:- scalar triple product and its properties, applications, volume of tetrahedron, vector triple product and its properties, applications, reciprocal system of vectors, solutions of vector equations. 3d coordinate system:- co ordinates of a point in space, signs of co ordinates of a point, distance formula, section formulae, direction cosines and direction ratios, angle between two lines. Plain and straight line in space:- plane, intercept form of a plane, vector equation of a plane, equation of a plane in a Normal form, equation of a plane in a parametric form, plane parallel to a given plane, straight line, reduction from unsymmetrical form to a symmetrical form, angle between two lines, plane through intersection of two planes, distance of a point from a plane, planes bisecting the angles between two given planes, distance of a point from a line, image of a point in a plane, reflection or image of a point in a straight line, shortest distance between two straight lines and two skew lines, angle between a plain and a line , condition of a line to lie in a plane, coplanarity if two lines.
Math · Vector calculus
Tauqeer - Montgomery, Pakistan15Fr
15FrMastering Calculus: A Guided Exploration with me by using daily life examples
Trusted teacher: "Embark on a Mathematical Odyssey: A Trilogy of Calculus Excellence Calculus I: Foundations of Differentiation and Integration Dive into the fundamental principles of calculus as we explore the core concepts of differentiation and integration. From understanding limits to mastering the rules of derivatives and integrals, this course lays the groundwork for your journey into the world of mathematical analysis. Calculus II: Advanced Techniques in Integration and Series Take your calculus skills to the next level with an exploration of advanced integration techniques and infinite series. Delve into methods such as integration by parts, partial fractions, and Taylor series, unlocking the tools to solve complex mathematical problems with precision and finesse. Calculus III: Multivariable Calculus and Vector Analysis Elevate your mathematical expertise to new heights with Multivariable Calculus and Vector Analysis. Uncover the intricacies of functions with multiple variables, explore the geometry of three-dimensional space, and master vector analysis. This course opens doors to understanding the dynamics of surfaces, curves, and vector fields. In each phase of this trilogy, you will experience: Rigorous Theory: Gain a deep theoretical understanding of calculus concepts, laying a strong foundation for advanced studies. **Practical Applications: Explore real-world applications of calculus, from physics and engineering to economics and beyond, demonstrating the versatility and power of these mathematical tools. **Interactive Learning: Engage in interactive sessions, problem-solving exercises, and applications that make the learning experience dynamic and enjoyable. Whether you are a student gearing up for advanced studies, a professional seeking to apply calculus in your field, or an enthusiast passionate about mathematical exploration, this trilogy is your gateway to mastering the elegance and utility of calculus. Join us on this transformative journey through the heart of mathematical analysis."
Calculus · Vector calculus
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