פרויקט מסכם- מתמטיקה לכלכלנים א חלק א עם מוחמד טרביה

🚀 Course Title:

מתמטיקה לכלכלנים א חלק א עם מוחמד טרביה 🎓

👨‍🏫 Instructor: Mohammed Trabih 🎦 Platform: אוניברסיטת בר אילן

✨ Hold the Key to Advanced Calculus with Mohammed Trabih!

📘 Course Description:

Dive into the world of advanced calculus with our specialized course, designed for those eager to master the intricacies of mathematics in economics. In this course, we'll explore a structured curriculum that covers essential topics such as sets, one-to-one functions, inverse functions, function composition, bounded sequences, and limits. Each unit is meticulously crafted to provide a deep understanding of the concepts through clear explanations, practical examples, and interactive exercises.

🚀 What You'll Learn:

📦 Unit 1: Sets

• Set Definition: Understand the fundamentals of sets.
• Intersection and Union of Sets: Learn how to manipulate different sets.
• Properties of Sets: Uncover the unique characteristics that define set behavior.

🔄 Unit 2: One-to-One Functions

• Function Definition: Discover the essence of a function.
• Checking One-to-One and Onto Functions: Master the criteria for one-to-one and onto functions.
• Examples of Functions: See how these functions play out in real scenarios.

🔢 Unit 3: Inverse Functions

• Finding Inverse Functions: Learn the process to calculate inverse operations.
• Systems with Inverse Functions: Solve complex systems that include inverse functions.

🏷 Unit 4: Function Composition

• Composing Simple Functions: Understand the basics of combining functions.
• Function Composition at Specific Points: Calculate the result of function combinations at specific points.
• Composing Functions with Domains: Explore how to apply domains to composed functions.

🔀 Unit 5: Bounded Sequences

• Upper and Lower Bounded Sequences: Define and understand bounded sequences.
• Examples of Bounded Sequences: Learn with practical examples that illustrate the concept.
• Bounding a Sequence: Discover methods to determine bounds for sequences.

🌀 Unit 6: Limits

• Limit Definition: Get to grips with what a limit represents.
• Calculating Limits: Learn techniques and formulas to find the limit of a function.
• Properties of Functions and Their Limits: Understand how properties affect limits.

🎓 Unit 7: Function Properties

• Testing for Increasing/Decreasing Behavior: Learn to determine if a function is increasing, strictly increasing, decreasing, or strictly decreasing.
• Examples and Calculations: Gain insight with examples and learn how to calculate these properties.

📝 Final Exam: A comprehensive test that will challenge you on all the topics covered throughout the course. It's your chance to showcase your newfound knowledge and skills in advanced calculus!

🎉 Join Us on This Mathematical Adventure! Embrace the opportunity to excel in mathematical economics with Mohammed Trabih's expert guidance. Enroll now and unlock the door to academic success! 🎓✨