Engineering Calculus Essentials
Master fundamental calculus and differential equations concepts for engineering applications. Learn mathematical modeling for real-world problems.
Master fundamental calculus and differential equations concepts for engineering applications. Learn mathematical modeling for real-world problems.
This comprehensive engineering mathematics course introduces essential concepts of single-variable calculus and ordinary differential equations, with a focus on engineering applications. Students learn to apply mathematical skills to model and solve real engineering problems across various fields. The course covers fundamental topics from limits and derivatives to Laplace transforms, featuring interactive visualizations and animations to illustrate complex mathematical concepts. Through practical examples from electrical, civil, and aerospace engineering, students develop the ability to construct mathematical models of change and understand system control principles.
Instructors:
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What you'll learn
Master fundamental concepts of calculus and differential equations
Apply mathematical skills to solve real engineering problems
Understand techniques of integration and their applications
Learn to solve engineering differential equations
Use Laplace transforms for vibration and signal processing
Develop mathematical modeling skills for engineering systems
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, exams
Access on Mobile, Tablet, Desktop
Limited Access access
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Module Description
This engineering-focused calculus course bridges mathematical theory with practical applications. Students learn essential concepts of single-variable calculus and ordinary differential equations while exploring their real-world applications in engineering. The curriculum integrates interactive visualizations and animations to illustrate complex mathematical principles. Topics include limits, derivatives, integration techniques, differential equations, and Laplace transforms, all presented through the lens of engineering problem-solving.
Fee Structure
Instructors
Distinguished Scholar in Analytic Number Theory and Mathematical Analysis
Professor Kai Man Tsang serves as a Professor in the Department of Mathematics at the University of Hong Kong, where he has established himself as a leading expert in Analytic Number Theory. His research focuses primarily on the Riemann zeta function and Waring-Goldbach type equations, making significant contributions to understanding linear and non-linear Diophantine equations and the distribution of square-free numbers. His teaching portfolio encompasses fundamental mathematical courses including Number Theory, Linear Algebra, and Real Analysis, demonstrating his commitment to mathematical education. Through his work on the Riemann zeta function, which plays a crucial role in investigating properties of prime numbers, he has contributed to one of mathematics' most important areas of study. His expertise extends to complex analysis and number theory, particularly in studying the distribution patterns of prime numbers and their relationships. As a respected member of HKU's mathematics faculty, he continues to advance mathematical understanding through both research and teaching, while maintaining active involvement in the academic community through his contributions to analytic number theory.
Leading Expert in Fluid Mechanics and Wave Dynamics
Professor Kwok Wing Chow serves as a distinguished Professor in the Department of Mechanical Engineering at the University of Hong Kong, where he has established himself as a leading authority in fluid mechanics and nonlinear wave dynamics. His academic foundation includes degrees from the California Institute of Technology (B.Sc.) and the Massachusetts Institute of Technology (Ph.D.), where he also conducted post-doctoral research in fluid dynamics before gaining teaching experience at the University of Arizona and ultimately joining HKU in 1996. His research expertise encompasses wave propagation, fluid mechanics, and nonlinear dynamics, with particular focus on solitons and rogue waves, while also making significant contributions to biomedical engineering through his work on blood flow dynamics and cardiovascular system mechanics. His academic excellence has been recognized with the Best Teacher Award from HKU's Faculty of Engineering, and his role as a member of the Editorial Board for the journal Wave Motion demonstrates his continued influence in shaping academic discourse. His research impact is evidenced by over 4,800 citations, while his teaching portfolio includes undergraduate and graduate courses in fluid mechanics, differential equations, complex variables, numerical analysis, and probability and statistics. Beyond academia, he serves on the Assessment Panel of the Innovation and Technology Bureau of the Government, bridging theoretical research with practical applications in engineering and technology.
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