Advanced Calculus and Differential Equations
Master advanced calculus concepts and differential equations through comprehensive review and practical engineering applications.
Master advanced calculus concepts and differential equations through comprehensive review and practical engineering applications.
This intermediate-level course provides a thorough review of bachelor-level calculus, focusing on functions of one variable and their applications in engineering. The curriculum covers advanced integration and differentiation techniques, approximation methods, and differential equations. Designed for engineering professionals and master's students, the course emphasizes practical applications in areas such as modeling, fluid dynamics, and dynamical systems. The self-paced, modular format allows students to focus on specific topics while providing comprehensive coverage of essential mathematical concepts.
4.6
(20 ratings)
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What you'll learn
Master advanced differentiation techniques including chain rule and implicit differentiation
Apply complex integration methods such as integration by parts and substitution
Solve engineering-relevant ordinary differential equations
Analyze asymptotic behavior and compute growth rates
Use Taylor polynomials for approximation and error analysis
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, exams
Access on Mobile, Tablet, Desktop
Limited Access access
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There are 6 modules in this course
This comprehensive calculus course covers advanced mathematical concepts essential for engineering and scientific applications. Through six focused weeks, students explore functions, differentiation techniques, approximation methods, asymptotic analysis, integration, and differential equations. The curriculum emphasizes practical engineering applications and includes interactive exercises through the Grasple platform for immediate feedback and practice.
Functions and Fundamentals
Module 1 · 6 Hours to complete
Differentiation Techniques
Module 2 · 6 Hours to complete
Approximation Methods
Module 3 · 6 Hours to complete
Asymptotes and Growth Rates
Module 4 · 6 Hours to complete
Integration Techniques
Module 5 · 6 Hours to complete
Differential Equations
Module 6 · 6 Hours to complete
Fee Structure
Instructors
3 Courses
Mathematical Physicist and Engineering Mathematics Instructor at TU Delft
Dr. Niek de Kleijn is a mathematical physicist and educator currently teaching at Delft University of Technology (TU Delft). He holds a PhD from the University of Copenhagen, where his research focused on non-commutative geometry, particularly symmetries in deformation quantization. This background in advanced mathematical physics provides him with a deep understanding of complex mathematical concepts. At TU Delft, de Kleijn applies his expertise to teaching bachelor-level mathematics courses, including calculus, linear algebra, and probability and statistics. His teaching is exclusively within engineering faculties, indicating a focus on practical applications of mathematics in engineering contexts. De Kleijn's transition from theoretical research to applied mathematics education demonstrates his ability to bridge the gap between advanced mathematical concepts and their practical applications in engineering fields. His role at TU Delft involves preparing future engineers with a solid foundation in mathematics, essential for their technical education and future careers.
3 Courses
Mathematics Lecturer and Differential Equations Expert at TU Delft
Dr. Willem Schouten-Straatman is a dedicated lecturer at Delft University of Technology (TU Delft), specializing in teaching fundamental mathematics courses to undergraduate engineering students. With a PhD from Leiden University focused on a unique type of differential equation combining discrete spatial variables with continuous temporal variables, Schouten-Straatman brings advanced mathematical expertise to his teaching role. His academic journey, which began with a Bachelor's in mathematics and physics, sparked an early passion for education that has shaped his career. At TU Delft, he primarily teaches Bachelor-level courses in linear algebra, calculus, and differential equations, playing a crucial role in building the mathematical foundation for future engineers. Schouten-Straatman's research background in complex differential equations, evidenced by his publications on topics like exponential dichotomies for nonlocal differential operators and traveling wave solutions for discrete equations, enriches his teaching approach. His transition from theoretical research to applied mathematics education demonstrates his commitment to bridging advanced mathematical concepts with practical applications in engineering fields.
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4.6 course rating
20 ratings
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