3320 Courses and Certifications

List of Online Courses and Certifications

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Certificate

Algebra 1

799

Offered by

Certificate

Calculus 3 (multivariable calculus), part 2 of 2.

Calculus 3 (multivariable calculus), part 2 of 2 online certifications is developed by Hania Uscka-Wehlou, Ph.D., Mathematics Professor, in collaboration with Martin Wehlou, Certified Editor at MITM and delivered by Udemy, which is aimed at students who want to master the essential concepts and principles of calculus 3. To make their learning process more efficient, students who want to enroll in Calculus 3 (multivariable calculus), part 2 of 2 online courses must first complete "Calculus 3 (multivariable calculus), part 1 of 2" course.

Calculus 3 (multivariable calculus), part 2 of 2 online classes provides more than 44.5 hours of explanatory video-based lectures they were accompanied by 305 downloadable resources which discuss various topics of mathematics like divergence, domains, gradient, graphing, vector calculus, integrals, line integrals, flux integrals, direct substitution, inverse substitution. By the end of this course, students will have acquired the knowledge of the core theories related to calculus 3, including Green's theorem, Fubini's theorem, Stokes' theorem, and Gauss' theorem.

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3,099
Skills Covered:
Mathematical skill

Offered by

Certificate

Linear Algebra and Geometry 2

Geometry 2 and linear algebra are mathematical disciplines that are largely concerned with algebra's inner product spaces, such as real and complex vector spaces, projections, and orthogonal and orthonormal spaces. This also covers the various types of matrices, such as linear and orthogonal matrices. Hania Uscka-Wehlou, Ph.D. and Mathematics Teacher, collaborated with Martin Wehlou, Certified Editor at MITM, to produce the Linear Algebra and Geometry 2 online certification, which is available through Udemy.

Linear Algebra and Geometry 2 online course is a self-paced training program that focuses on assisting learners in mastering the fundamentals and advanced principles of geometry and linear algebra. Learners in the Linear Algebra and Geometry 2 online classes will have access to 47 hours of video-based learning materials, as well as 331 downloadable resources, covering topics such as systems of equations, vectors, vector spaces, matrices, linear dependencies, linear independencies, linear transformation, geometrical transformation, eigenspaces, eigenvalues, eigenvectors, and the Gram-Schmidt process, among others.

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3,299
Skills Covered:
Mathematical skill

Offered by

Certificate

GMAT | Quantitative | Master Math Course

GMAT | Quantitative | Master Math Course | 2024 Updated certification is developed by Nadeem Arain - GRE, GMAT & SAT Instructor and is delivered by Udmey for the applicants preparing for the MBA program by studying for the GMAT examination. GMAT | Quantitative | Master Math Course | 2024 Updated online training by Udemy is aimed to educate a novice on the fundamentals of mathematics as well as advanced-level questions and ideas.

GMAT | Quantitative | Master Math Course | 2024 Updated online classes feature 52.5 hours of video-based lectures and 58 downloadable tools to help applicants refresh their memory on any topics or principles they may have forgotten. The principles of algebra, geometry, and trigonometry are covered first, followed by methodologies and procedures for exponents, quadratic functions, algebraic expressions, algebraic division, data sufficiency, data interpretation, coordinate geometry, angles, and averages, fractions, and more.

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2,999

Offered by

Certificate

Foundation Mathematics (A-Level)

A level of mathematics supports students in developing a practical approach to solving problems as well as quantitative experience and expertise, making it an excellent foundation for a variety of degree programs. A-level mathematics has been mandatory for several STEM and business degree programs. JAGuar93228 Gill - Certified Mathematics established the Foundation Mathematics (A-Level) certification course, which is available on Udemy.

Foundation Mathematics (A-Level) online course is designed for students who want to expand their mathematical knowledge above GCSE, as the course serves as the foundation for university education mathematics. With Foundation Mathematics (A-Level) online training, students will be provided with 49 hours of prerecorded learning resources along with practice exercises consisting of questions related to mathematical concepts like calculus, coordinates geometry, integration, trigonometry, differentiation, vector, algebraic equation, algebraic division, partial fraction, binomial expansion, quadratic function and many more.

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1,999
Skills Covered:
Mathematical skill

Offered by

Certificate

Pre-Calculus Video Series

Precalculus is a mathematical discipline that operates as a base for calculus. Algebra and trigonometry are the two major topics covered in precalculus. Depending upon the nature of the job path chosen by individuals, precalculus courses can be arranged in several different ways. Jesse Patrick - Professional Teacher created the Pre-Calculus Video Series online certification, which is available through Udemy.

Pre-Calculus Video Series online course provides participants an in-depth overview of pre-calculus subjects such as advanced algebra and trigonometry and is designed for those who need a refresher on their skills while taking calculus. Pre-Calculus Video Series online training involves 30 hours of detailed comprehensive lectures along with 9 articles, 20 downloadable resources, and assignments that cover topics like limits, functions, function transformation, exponential function, rational function, logarithmic function, graphing, polar equation, parametric equation and more.

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2,499
Skills Covered:
Mathematical skill

Offered by

Certificate

A Complete First Course in Differential Equations

A Complete First Course in Differential Equations certification is designed by Chris Levy - Certified Research Scientist, Data Scientist & Ph.D. in Applied Math, and is delivered by Udemy and is developed for the applicants who want to improve their understanding of the principle and methodologies associated with the differential equations at college and university level. A Complete First Course in Differential Equations online training by Udemy will teach the applicants everything that is generally explained in the first two terms of university and college in differential equations subject.

A Complete First Course in Differential Equations online syllabus offers more than 29.5 hours of video-based lessons accompanied by downloadable resources discussing the concepts like eigenvalue, eigenvectors, vector spaces, linear equations, complex analysis, and maple for analysis. With this course, applicants will also be taught about various theories related to differential equations like the Laplace transform, Frobenius method, Hopf bifurcation, Fourier series, Sturm-Liouville eigenvalue, power series method, and more.

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1,799
Skills Covered:
Mathematical skill Science skills

Offered by

Certificate

GMAT® Math | Official Guide 2019

The NeatPrep - GMAT & GRE specialist Néve Chen developed the GMAT® Math | Official Guide 2022 certification course, which is offered by Udemy and is geared toward students looking for a devastatingly effective study of all of the material found on actual GMAT mathematics questions. The goal of the GMAT® Math | Official Guide 2022 online course by Udemy is to show students how to answer quickly dozens of actual GMAT questions based on problem-solving and data sufficiency principles.

GMAT® Math | Official Guide 2022 online classes incorporate 29.5 hours of recorded lectures and 10 downloadable materials that address topics such as data sufficiency, popularity matrices, statistical analysis, and problem-solving. Students will receive a certificate to verify their understanding of and proficiency in the aforementioned mathematical principles after completing this training program

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6,500

Offered by

Certificate

Master the Fundamentals of Math

Master the Fundamentals of Math online certification is developed by Krista King - Professional Mathematics Instructor which is delivered through Udemy and is aimed at candidates who want to learn the fundamental concepts of mathematics from the ground up. Master the Fundamentals of Math online course focuses by Udemy on offering tools to assist candidates in gaining knowledge and expertise in essential mathematical concepts.

Master the Fundamentals of Math online classes offers 130 digital lessons that last about 4.5 hours, as well as 71 articles, 122 downloadable materials, and 9 supplementary workbooks that contain a range of mathematical topics such as number sets, factors, multiples, decimal, exponents, radicals, and scientific conceptions. The course includes quizzes to enable applicants to track their progress and expertise after completing every section.

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3,099
Skills Covered:
Mathematical skill

Offered by

Certificate

Quickly Master Basic Math

2,699

Offered by

Certificate

Mathematical Foundations of Machine Learning

Mathematical Foundations of Machine Learning Course will expose the learners to the mathematics and mathematical theorems used in machine learning. The curriculum of the online course developed jointly by Dr. Jon Krohn, Ligency I Team, and Ligency Team will equip the students with a solid understanding of mathematics needed for machine learning and data science such as linear algebra and calculus, critical mathematical subjects, and many more. Mathematical Foundations of Machine Learning Online Course recommends the learner to have acquaintance with secondary school-level mathematics to take full advantage of the programme. 

Mathematical Foundations of Machine Learning Certification, offered by Udemy, will explore Data structures, Tensor operations, Eigenvectors, Eigenvalues, and the like. The students will be awarded a certificate of completion and lifetime and unlimited access to learning materials with a one-time fee only.

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3,699

Offered by

Certificate

Complete High Speed Vedic Math Course

Vedic Maths is a series of methodologies for quickly and efficiently solving mathematics problem sets. These techniques explain excellent Arithmetical computation, numerical methods, arithmetic, and mathematical operations, advanced mathematics, coordinate geometry, calculus, and more. Gaurav Tekriwal, President of The Vedic Maths Forum India, designed the Complete High-Speed Vedic Math Course certification, presented through Udemy.

Complete High-Speed Vedic Math Course online training contains more than 14.5 hours of prepared video-based learning material and 61 downloadable resources on the World's fastest mental arithmetic system, as well as hundreds of examples and assignments. Complete High-Speed Vedic Math Course online classes will assist candidates in realizing their latent potential, developing their mathematical faculties, significantly improving their academic achievement, and developing the ability to calculate much faster than the traditional system.

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3,099

Offered by

Certificate

Mathematics for Computer Games Development using Unity

Mathematics for Computer Games Development using Unity online certification is designed by Penny de Byl - an International Award Winning Professor & Author in partnership with Penny @Holistic3D.com - an Academic, Author & Game Development Enthusiast and is delivered by  Udemy and is intended for participants who want to study the principles of various mathematical concepts useful for game development operations. The Mathematics for Computer Games Development using Unity online course is designed for those interested in learning how to construct 2D/3D games using the Unity game engine

Mathematics for Computer Games Development using Unity online classes focuses on providing a fundamental comprehension of mathematics and assisting participants in mastering the strategies for accumulating mathematical information to improve their game development skills. With this course, participants will receive 15 hours of thorough lectures, as well as 27 downloadable materials, 7 articles, and quizzes, on topics such as game design, C# programming, transforming game objects, process optimization, trigonometry, ray casting, and more.

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3,699
Skills Covered:
Mathematical skill

Offered by

Certificate

Aptitude for Placements 2024: Quantitative Aptitude Tricks

In India, aptitude tests include quantitative aptitude as a mandatory and essential component. Along with analytical and logical abilities, it also assesses quantitative abilities. By responding to these questions, someone could evaluate their range of handling strategies and problem-solving abilities. Aptitude for Placements 2022: Quantitative Aptitude Tricks online certification is designed by Dr. Kiran Derle - Ph.D. & MBA and is delivered by Udemy for the participants who have a strong dedication to acquiring quantitative aptitude.

Aptitude for Placements 2022: Quantitative Aptitude Tricks online training incorporates 20 hours of comprehensive learning materials supported by 13 downloadable resources and quizzes that are designed to provide participants with a thorough understanding of the mathematical concepts and help them develop their quantitative skills. Aptitude for Placements 2022: Quantitative Aptitude Tricks online classes discuss various topics like ratio, proportion, simple interest, compound interest, mixtures, time, speed, work, distance, permutation, combination, probability, HCF, LCM, number systems, and more.

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3,099
Skills Covered:
Mathematical skill Numerical ability

Offered by

Certificate

Math For Video Games: The Fastest Way To Get Smarter At Math

Every game has a mathematical foundation that is essential for everything to function as intended by the game's creators. Computer game design is based on various mathematical ideas, including transformations, geometry, vectors, and matrices. The Math For Video Games: The Fastest Way To Get Smarter At Math certification course was developed by GameDev.tv Team, Ben Tristem, the company's founder, businessman, and educator, and Gary Pettie, an independent game developer, offer it through Udemy.

Math For Video Games: The Fastest Way To Get Smarter At Math online training consists of more than 13.5 hours of digital lessons, is supported by two articles, and offers downloadable resources, which are intended for students who want to learn the mathematical concepts required for game design. Math For Video Games: The Fastest Way To Get Smarter At Math online classes revolve around trigonometry, linear equations, quadratic equations, algebra, circles, probability, angles, statistics, quaternions, vectors, combinatorics, matrices, permutation, and more.

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4,099
Skills Covered:
Mathematical skill

Offered by

Certificate

Fundamental Financial Math: Uses, Applications & Quizzes

The application of mathematics to economic aspects is known as financial mathematics. It makes use of resources from economic theory, statistics, stochastic processes, and probability. The Fundamental Financial Math online certification was developed by Starweaver Team in collaboration with Paul Siegel, an entrepreneur, and educator, and made available by Udemy for those looking to learn about the financial math applications used in banking, securities, insurance, and financial markets.

Fundamental Financial Math online course is a self-paced program that involves more than 2.5 hours of comprehensive lectures supported by 15 downloadable resources that introduce students to a wide range of computation and theoretical constructs of mathematics that are used by professionals in the financial market in a wide range of applications, including estimating prices, rates of return, and yields. Fundamental Financial Math online classes also discuss topics like pricing convention, compounding convention, zero coupon bonds, coupon-bearing bonds, the yield of maturity, rate of return, interest rate, and more.

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2,499
Skills Covered:
Mathematical skill Financial Management Knowledge of banking

Offered by

Certificate

Learn basic high school Maths the easy way!

Learn basic high school Maths the easy way certification course is created by Chanda Academy - an education provider, which is made available through Udemy which is intended for learners who want to brush up on their understanding of the fundamentals of various mathematical topics or students who want to prepare for their mathematics examination by acquiring knowledge and expertise in high school mathematics.

Learn basic high school Maths the easy way online classes by Udemy offer 59 hours of extensive lectures supported by 89 downloadable resources, with the objective of providing learners with a solid understanding of the fundamentals and enabling them to advance much more quickly when it comes to the more difficult subjects. Learn basic high school Maths the easy way online training revolves around topics like algebra, trigonometry, probability, statistics, linear equations, integers, ratios, indices, percentages, decimals, fractions, and circles as well as discusses the strategies to acquire the ability to tackle the much feared worded problems and other complex problems easily.

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999
Skills Covered:
Mathematical skill Statistical skills

Offered by

Certificate

Faster than Calculator, Speed Math Techniques & Mental Math

Mental math is a set of abilities that permits individuals to perform calculations in their heads without the use of a pencil and paper or a calculator. Mental math is beneficial in both the classroom and daily life. Mental math can assist individuals to comprehend mathematical concepts better and find answers faster. Rajinder Goswami - Teaching & Researching Mathematics professional created the Faster than Calculator, Speed Math Techniques & Mental Math certification course, which is available on Udemy.

Faster than Calculator, Speed Math Techniques & Mental Math online course provides more than 4.5 hours of digital learning resources which are designed for the learners who to master mathematics shortcuts and mental math to improve their quantitative skills in preparation for exams such as Bank PO, Bank Clerk, IAS, IPS, PCS, RRB, and many others. With Faster than Calculator, Speed Math Techniques & Mental Math online classes, learners will acquire the knowledge of the fundamentals concepts associated with mathematics to be able to perform fast calculations as well as will be taught about various mathematical concepts like squares, cubes, fractions, decimals, percentages, averages, HCF, LCM, and more.

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3,099
Skills Covered:
Mathematical skill

Offered by

Certificate

Simulation using ANSYS - Fluent English version

Ansys Fluent allows an individual to improve and develop product results by providing more opportunities. Individuals can be confident in their simulation effectiveness when using technology that has been rigorously tested across a wide range of applications. With Ansys Fluent, users can create complex physics models and investigate a variety of fluid dynamics in a configurable and easy interface. Hussien Hafez - Msc, TA at Cairo University designed the Simulation using ANSYS - Fluent English version certification course, which is available on Udemy.

Simulation using ANSYS - Fluent English version online course incorporates 36 hours of video bases lessons which include topics like fluid dynamics, fluid-structure integration, meshing, 2d/3d modeling, GUI, fluid solver, heat exchange, radiation case, and solar load. Simulation using ANSYS - Fluent English version online classes also teaches about various functionalities of ANSYS CAD along with programs including CFX-Pre, CFD-Post, SpaceClaim, and many more.

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2,499

Offered by

Certificate

Energy saving in fan and ventilation

When it comes to ventilation system energy consumption, airflow is a fundamental metric. Most ventilation systems and fans should not need to run at full capacity all of the time. It is critical to analyze requirements with motion detectors, a meter, and process-driven controllers, as well as design automated ventilation systems and blowers. Dr. Sonal Desai - Green Building Consultant & Certified Energy Auditor developed the Energy saving in fan and ventilation certification course, which is available on Udemy.

Energy saving in fan and ventilation online training is targeted at the candidates who want to expand their understanding of the methods and strategies used by engineers to make fans and ventilation systems more energy efficient. Energy saving in fan and ventilation online classes offers 39 minutes of comprehensive video-based learning resources which discusses topics like fan design, ventilation system, energy consumption, performance assessment, and many more.

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1,299
Skills Covered:
Knowledge of engineering

Offered by

Certificate

Energy Saving in Compressors

Air compressors are used in a wide range of sectors, from minor auto repair shops using piston compressors to massive highly integrated textile operations using high-volume centrifugal compressors. Firms have invested in technology throughout time to address shortcomings in air compressors and ease the user experience. Dr. Sonal Desai - Certified Energy Auditor & Green Building Consultant designed the Energy Saving in Compressors online certification, which is delivered through Udemy.

Energy Saving in Compressors online classes incorporate 1.5 hour of comprehensive lectures which are intended for learners who want to become energy performance engineers and engineers. With the help of the Energy Saving in Compressors online course, learners will study a variety of air compressor-related topics, including compressor types, compressor designs, power consumption, performance evaluation, pneumatics, energy conservation, and more.

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1,499
Skills Covered:
Knowledge of engineering

Offered by

Certificate

Centrifugal pumps : Principles , Operation and Design

A centrifugal pump is a technological instrument used to transmit rotational energy through one or perhaps more driven shafts, also known as impellers, to control flow. Currently, centrifugal pumps come in a variety of shapes and use in the petrochemical, processes, and refinery industries as well as in power generating and environmental engineering. Centrifugal pumps: Principles, Operation, and Design online certification is created by WR Training - Petroleum Petrochemical & Chemical Engineering, which is offered by Udemy

Centrifugal pumps: Principles, Operation, and Design online training focus on providing individuals with a complete understanding of construction details and functioning of centrifugal pumps with the help of detailed graphics and computer animation. Centrifugal pumps: Principles, Operation and Design online classes involve 6 hours of video-based lessons along with 5 downloadable resources which explain the strategies involved with centrifugal pump construction, pump efficiency, shaft deflection, flow determination, the piping system as well as teach about practices for maintaining, troubleshooting and solving problems associated with centrifugal pumps.

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2,999
Skills Covered:
Troubleshooting Knowledge of engineering

Offered by

Certificate

Introduction to Heat Exchangers (Industrial Engineering)

A heat exchanger is a mechanism that makes it easier for working liquids with differing temperatures to exchange heat. By exchanging heat from systems where it is not required to systems where it could be used, heat exchangers can increase a system's energy consumption. Introduction to Heat Exchangers (Industrial Engineering) certification course is developed by saVRee 3D - a virtual learning platform that offers online engineering courses and is made available by Udemy.

Introduction to Heat Exchangers (Industrial Engineering) online course is targeted at students who are interested in learning how heat exchangers operate in industrial engineering processes. With Introduction to Heat Exchangers (Industrial Engineering) online training, students will be taught about various types of heat exchangers including shell heat exchangers, plate heat exchangers, and tube heat exchangers as well as will be taught about various types of designs along with their advantages and disadvantages.

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799
Skills Covered:
Knowledge of engineering

Offered by

Certificate

Introduction to Welding Engineering

The discipline of welding engineering integrates the fundamental concepts of materials science with those of mechanical, architectural, and electrical engineering and utilizes them for the advancement and use of joining technologies. Introduction to Welding Engineering certification course is created by Mechanical Corp - an online learning platform that provides courses in mechanical engineering and is presented by Udemy for learners who want to acquire knowledge of the basic concepts and techniques involved with welding engineering.

Introduction to Welding Engineering online training incorporates 2.5 hours of digital lectures along with 3 articles that are designed to assist students to understand how to classify welding processes, how flaws occur during the welding process, and how to eliminate them. The Introduction to Welding Engineering online course describes the methods and procedures used in a variety of welding processes, such as arc welding, resistance welding, radiant beam welding, solid-state welding, gas welding, and fusion welding.

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Beginner
1,799
Skills Covered:
Knowledge of engineering

Offered by

Certificate

Manufacturing Operations – Planning, Management and Control

Manufacturing is the process of creating innovative products from components or building materials. Manufacturing covers businesses that produce goods instead of services, such as bakeries, auto manufacturers, artisans, and tailors. Manufacturing Operations – Planning, Management and Control online certification is created by Operational Excellence Training - an educational platform that provides industrial management courses, which is delivered by Udemy.

Manufacturing Operations – Planning, Management and Control online classes focus on offering candidates a solid understanding of ideas like manufacturing operations, manufacturing planning, manufacturing management, execution, and control systems, material management,  system capacity, inventory management, capacity planning, scheduling, product design, product analysis, and decision-making. By the end of the Manufacturing Operations – Planning, Management and Control online course, candidates will have acquired the abilities they need to enhance both their performance and the overall effectiveness of their company's manufacturing operations.

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2,699
Skills Covered:
Manufacturing knowledge Planning Quality control Designing skills Knowledge of Product Management

Offered by

Certificate

Basics of Material selection for mechanical design engineers

Material selection in mechanical design refers to the approaches used to identify the materials and segment configurations that are generally suited to a specific application out of the full variety of materials and configurations that are accessible. Mufaddal Rasheed, a mechanical engineer, and inventor designed the Basics of Material selection for mechanical design engineers online certification, which is provided through Udemy.

Basics of Material selection for mechanical design engineers online training involves 4 hours of prerecorded lectures along with 2 articles aimed at participants who want to begin their journey in the field of materials for mechanical design for product development. Basics of Material selection for mechanical design engineers online classes also explain the characteristics of the materials and how to examine and influence product performance.

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3,499
Skills Covered:
Mechanical knowledge

Offered by

Certificate

Production Planning for Management Consultants & Analysts

Production planning is the process of creating a manual for the creation and production of a specific good or service. Organizations can increase the efficiency of their production processes with the aid of production planning. Asen Gyczew, a performance improvement, and startup expert, developed the Production Planning for Management Consultants & Analysts certification course, which is offered by Udemy to participants who want to work as business analysts or management consultants in industries like supply chain, production planning or manufacturing.

Production Planning for Management Consultants & Analysts online course comprises 4 hours of prerecorded lectures supported by 3 articles and 28 downloadable resources which aim to provide participants with a detailed understanding of the principles of production planning. Production Planning for Management Consultants & Analysts online classes discusses topics like business analysis, capacity management, KPI, continuous flow, and Kanban as well as teach how to quickly and effectively carry out production planning-related analyses, such as scenario and simulation analysis.

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2,899
Skills Covered:
Business analytics knowledge Knowledge of Excel Knowledge of Product Management

Offered by

Certificate

Complete Course in CATIA

2,699

Offered by

Certificate

Machine Design : Theories of failure and Design for fatigue

The most important procedure in the industrial sector is machine design. In general, machine design is involved in the creation of functional mechanics and power supplies. Designers generally diversify and may focus on things like the development of functional automotive components, engines, turbines, industrial machinery, and mechanization technology. Machine Design: Theories of failure and Design for fatigue online certification is designed by Mufaddal Rasheed - mechanical engineer, inventor & quora writer and is delivered by Udemy

Machine Design: Theories of failure and Design for fatigue online course is intended for applicants who are interested in learning more about the process of developing structural components of products to satisfy functional and durability requirements. With Machine Design: Theories of failure and Design for fatigue online classes, applicants will be taught about principal stress, shear stress, distortion energy, endurance strength, endurance limit, and several other theories of failure in static and dynamic loading conditions.

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Expert
3,299
Skills Covered:
Mechanical knowledge Knowledge of engineering

Offered by

Certificate

Mechanics / Statics - Introduction to Mechanical Engineering

Mechanical engineering, which examines moving parts and systems, is one of the most adaptable and interesting branches of the engineering discipline. The human body, itself a highly sophisticated machine, is just one example of how mechanical engineering affects practically every facet of modern life. To design, analyze, construct, and maintain mechanical systems, mechanical engineers use principles from engineering physics, mathematics, and materials science. Mechanics / Statics - Introduction to Mechanical Engineering certification course, which is made available by Udemy to applicants desiring to learn the levels of mechanical engineering.

Mechanics / Statics - Introduction to Mechanical Engineering online training is an intensive course that will help individuals learn about engineering solid mechanics in a short amount of time which includes two hours of video lessons and 39 downloadable resources and unlimited mobile and television access. Mechanics / Statics - Introduction to Mechanical Engineering online classes covers a wide range of concepts applicable to many engineering scenarios like engineering stress, strain, forces (including Newton's Laws), etc.

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2,299
Skills Covered:
Mechanical knowledge Knowledge of engineering

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