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Courses/Engineering/Technology & Science

Engineering Mathematics: Numerical Analysis & More

Mastering Techniques in Engineering Mathematics

Created byJ Aatish Rao
4.2
(6 reviews)
BeginnerUpdated Jul 28, 2024
Engineering Mathematics: Numerical Analysis & More

What You'll Learn

check_circleUnderstand the fundamental principles of numerical methods and their applications in engineering.
check_circleDevelop proficiency in utilizing the Newton-Raphson method to find roots of equations and solve nonlinear systems.
check_circleMaster the Secant method for approximating roots and its advantages over other methods.
check_circleLearn the Bisection method and its applications in finding roots of equations.
check_circleGain proficiency in numerical integration techniques, including the Trapezoidal rule and Simpson's rule, for accurate estimation of definite integrals.

About This Course

This course is focused on engineering mathematics. After completing the tutorial, you will be able to understand the basic advantageous knowledge of numerical analysis techniques. Certain bonus lectures are also included.

This course introduces students to a range of powerful numerical methods and approximation techniques that are essential for solving complex engineering problems. Through a combination of theoretical understanding and practical application, students will gain the necessary skills to analyze, model, and solve mathematical problems encountered in various engineering disciplines. The course focuses on four key numerical methods: Newton-Raphson method, Secant method, Bisection method, and numerical integration techniques such as Trapezoidal rule and Simpson's rule.

Course Topics:

  • Introduction to Numerical Methods: Importance and applications in engineering.
  • Newton-Raphson Method: Derivation, convergence analysis, and implementation.
  • Secant Method: Advantages, convergence, and application in solving nonlinear equations.
  • Bisection Method: Algorithm, convergence, and root-finding applications.
  • Numerical Integration Techniques: Trapezoidal rule and Simpson's rule, error analysis, and practical implementation.
  • Applications in Engineering: Solving engineering problems involving nonlinear equations and definite integrals.

By the end of this course, students will have developed a strong understanding of numerical methods and approximation techniques, enabling them to confidently apply these tools to solve complex engineering problems. They will also have gained valuable experience in implementing these methods using computational tools, enhancing their problem-solving and critical thinking skills.

Your Instructor

J Aatish Rao
J Aatish Rao

Mechanical Engineer, Educator, & Industry Consultant

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star335 reviews

J. Aatish Rao | Mechanical Engineer, Educator, & Industry Consultant AutoDesk Certified Professional | Fusion 360 Certified User | ClearFit Certified Team Leader Why Learn with Me? With over a decade of hands-on industry experience, I specialize in empowering students and professionals in mechanical engineering and advanced design. As an experienced consultant and certified instructor, I am passionate about transforming complex concepts into practical, real-world applications to help you succeed. 10+ Years of Industry Expertise: I bring practical knowledge from years of solving real-world challenges in mechanical engineering, design, and consulting. Globally Certified Trainer: As an AutoDesk Certified Professional and Fusion 360 Certified User, I provide expert instruction tailored to your learning needs, blending certified techniques with a deep understanding of the industry. Dynamic & Engaging Teaching: My highly interactive workshops and courses foster a team-spirited, hands-on environment that motivates and inspires the next generation of engineers. Certifications & Leadership AutoDesk Certified Professional & Fusion 360 Certified User : Master-level skills in cutting-edge design software. ClearFit Certified Team Leader : Expertise in team leadership and collaboration. Industrial Consultant : Proven success in providing innovative solutions to engineering challenges. Beyond Engineering When I’m not mentoring future engineers, I’m gazing at the stars. As a passionate stargazer and lifelong learner, I channel my curiosity about the cosmos into everything I do, bringing a sense of wonder and exploration to my teaching. Join Me on LearnFormula Unlock your potential in mechanical engineering and beyond. Whether you're a student, a professional, or a lifelong learner, my courses are designed to provide you with the knowledge, skills, and confidence to succeed in the ever-evolving world of engineering. Let’s embark on this transformative journey together!

Credit Information

Do these courses count toward my professional development requirements?

This portal is provided as a training and development resource for City of Markham employees. Every course is delivered by a qualified subject matter expert or learning organization, is quantifiable in hours, and is verifiable — you receive a documented certificate of completion for every course you finish, stored on LearnFormula indefinitely.

If you hold a professional designation (for example in engineering, accounting, human resources, or law), courses may be counted as professionally relevant, verifiable learning activities toward your continuing professional development. Individual practitioners are responsible for confirming that an activity meets the requirements of their professional body. For questions about the City of Markham's training and development policies, please speak with your people leader or Human Resources.

What Students Are Saying

4.2
Student's Choice
6 reviews

Frequently Asked Questions

We are a registered provider with 327+ associations and regulatory bodies worldwide. We operate across 29 global markets including Canada, the US, Australia, and the UK. Every course page clearly displays its specific accreditations. Upon completion, you receive a professional certificate that can be validated online. Our certificates include all necessary accreditation details, credit hours, and completion dates, and are formatted specifically to meet the submission requirements of most global regulatory bodies.