Dr. BOUBEKEUR MAROUA AMEL
Assistant Professor of Mathematics. Her research focuses on applied mathematics, differential equations, and mathematical modeling for physical and biological systems.
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UniversityofRelizane
Enrollment is Closed
About This Course
Welcome to Analysis 2, a foundational course designed to bridge elementary calculus with advanced mathematical modeling. After mastering single-variable calculus, this module expands your analytical toolkit into multi-dimensional spaces. You will explore how things change across multiple variables simultaneously and learn how to describe complex dynamic processes using differential equations. These concepts serve as the essential mathematical language for modern engineering, physics, economics, and data sciences.
The course is structured around three core pillars. First, we delve into Ordinary Differential Equations (ODEs), mastering both analytical and quantitative techniques to solve first-order and higher-order equations. Next, we transition to the calculus of Functions of Several Variables, covering partial derivatives, gradients, and optimization techniques. Finally, we explore Multiple Integrals (double and triple integrals), calculating regions, volumes, and real-world physical properties. By balancing rigorous theory with practical applications, this course equips you with strong analytical problem-solving skills.
Requirements
To succeed in this course, students should have a strong foundation in introductory single-variable calculus (Analysis 1). You should be comfortable with basic limits, continuity, standard differentiation rules, and fundamental integration methods (such as integration by parts and substitution).
Course Staff
Frequently Asked Questions
What web browser should I use?
The Open edX platform works best with current versions of Chrome, Edge, Firefox, or Safari.
See our list of supported browsers for the most up-to-date information.
Do I need any special software for this course?
No specific software is required. All mathematical materials, theorems, and exercises are accessible directly through your web browser. A PDF reader and a basic tool for reading LaTeX notation (integrated into the platform) are all you need.