Calculus 2 - A Complete Course in Integral Calculus

🎓 Course Title: Calculus 2 - A Complete Course in Integral Calculus

🎥 Course Instructor: Gary Thomson

Master the Theory, Practice and Applications of Integrals! 🚀

Welcome to our comprehensive online course on Integral Calculus, where you'll dive deep into the world of change and its mathematical modeling. Whether you're a student seeking to enhance your academic skills or a professional looking to apply calculus in your field, this course is designed to cater to all levels. 📚

Why Take This Course? 🤔

• Learn Calculus 2 from Scratch: If you're new to the subject, we'll start with the basics and build up your understanding.
• Additional Support for School or College Students: Enhance your learning experience with additional resources and guidance.
• Prepare for Assessments: Brush up on key concepts and techniques before taking a Calculus 2 exam.
• Review Key Integration Techniques: Revisit the essential methods of integration to sharpen your skills.
• Access Extensive Practice Questions: With over 300 practice questions, you'll solidify your knowledge with worked solutions provided.
• Prepare for Further Studies: This course serves as an excellent stepping stone for further math, engineering, or related studies.
• 21 Hours of Instructional Video Content: Engage with high-quality videos that cover the course material in a clear and accessible manner.

What You Will Learn: 📈

Gary Thomson has meticulously structured this course to ensure you not only understand the theory behind integration but also how to apply it effectively. Each video lesson combines a moderate amount of theory with practical examples, followed by review exercises to test your comprehension. Here's a glimpse of what you'll learn:

• The Foundations of Integration: Learn about antiderivatives and Riemann sums, the building blocks of integration.
• Core Integration Techniques: Master the Power Rule, Chain Rule, and Trigonometric rules to extend your integrating capabilities.
• Integration by Parts & Advanced Differentiation Techniques: Explore more complex integrals, including improper integrals and their applications.
• Real-World Applications of Derivatives: Discover how to calculate areas under curves, volumes of revolution, and other practical scenarios.
• Parametric and Polar Functions: Understand the unique ways functions can be represented and manipulated.
• Sequences, Series & Convergence Tests: Analyze and evaluate sequences, series, and determine their convergence or divergence.
• Power Series: Explore Taylor Series and Maclaurin Series to solve complex mathematical problems.

Course Structure:

1. Key Concepts: A gentle introduction to the core ideas in Integral Calculus.
2. Core Integration Techniques & Applications: Detailed exploration of essential integration methods and how they can be applied.
3. Parametric & Polar Functions: Understanding functions beyond the Cartesian plane.
4. Sequences & Series: Diving into infinite series, convergence tests, and their significance in analysis.
5. Practice Questions & Solutions: Over 300 practice questions to reinforce your learning, each with a full solution for verification.

By the end of this course, you'll be equipped with the knowledge and skills necessary to tackle Integral Calculus with confidence. Whether for academic purposes or professional application, these tools will serve you well in understanding and modeling the world around us through the lens of calculus. 🌐

Enroll now and embark on your journey to mastering Integral Calculus with Gary Thomson's expert guidance! 🎓✍️