Advanced Multivariable Calculus
Master the fundamentals of multivariable calculus through comprehensive review of differentiation and integration concepts.
Master the fundamentals of multivariable calculus through comprehensive review of differentiation and integration concepts.
This advanced mathematics course provides a thorough review of bachelor-level multivariable calculus. Students will strengthen their understanding of differentiation and integration techniques for functions of multiple variables. The curriculum covers visualization of multivariable functions, partial derivatives, directional derivatives, extreme values, and multiple integrals in various coordinate systems. Through interactive exercises and immediate feedback, students gain practical experience in solving complex mathematical problems.
4.6
(7 ratings)
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What you'll learn
Visualize and analyze functions of multiple variables using graphs and contour plots
Master calculation of partial derivatives and their applications
Understand directional derivatives and gradients in multivariable contexts
Identify and classify critical points for optimization problems
Evaluate double integrals using various coordinate systems
Solve triple integrals in cartesian cylindrical and spherical coordinates
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 review course covers advanced concepts in multivariable calculus. The curriculum focuses on differentiation and integration techniques for functions of multiple variables, essential for engineering and scientific applications. Topics include visualization of multivariable functions, partial derivatives, directional derivatives, critical points, and multiple integrals using various coordinate systems. The course emphasizes practical application through interactive exercises and provides immediate feedback through the Grasple platform.
Multivariable Functions Introduction
Module 1 · 6 Hours to complete
Partial Derivatives and Linearization
Module 2 · 6 Hours to complete
Directional Derivatives and Gradients
Module 3 · 6 Hours to complete
Extreme Values
Module 4 · 6 Hours to complete
Double Integrals
Module 5 · 6 Hours to complete
Triple Integrals
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
7 ratings
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