Ace Calculus 3 in 16 Hours (The Complete Course)

🎓 Course Overview:

Ace Calculus 3 in 16 Hours (The Complete Course) with Gina Chou is your ultimate guide to mastering the intricacies of infinite sequences and series, vector functions, and the derivatives and integrals for multivariable functions. This course is meticulously crafted to help you understand complex concepts through clear video lectures, detailed notes, and comprehensive practice problems—complete with solutions!

**📚 Course Structure:

The course is divided into eight key sections, each focusing on a fundamental aspect of Calculus III. Here's what you can expect in each section:

1️⃫ Infinite Sequences:

• Convergence of a sequence
• Properties of a sequence (monotonic and bounded)

2️⃫ Infinite Series:

• Special series (geometric, telescoping, harmonic)
• Six convergence/divergence tests (test for divergence, integral test, comparison test, limit comparison test, alternating test, ratio test, and root test)

3️⃫ Power Series:

• Taylor series and Maclaurin series
• Taylor’s inequality
• Methods for dealing with power series: direct computation, term-by-term differentiation/integration, and summation, multiplication, and division of power series

4️⃫ Vectors and the Geometry of Space:

• Vectors in 2D and 3D
• Vector operations (dot product, projection, cross product)
• Equations of lines and planes
• Surfaces in 3D

5️⃫ Vector Functions:

• Derivative and integral of vector functions
• Arc length, curvature, and Frenet-Serret equations
• Motion in Space: Velocity and Acceleration

6️⃫ Partial Derivatives:

• Multivariable functions
• Partial derivatives and their interpretations
• Tangent planes
• Linear approximations and the Chain rule
• Gradient vector, directional derivatives
• Finding extreme values of a multivariable function
• Lagrange multipliers

7️⃫ Multiple Integrals:

• Double Riemann sums
• Volume under surfaces, iterated/double integrals
• Double integral over general regions
• Double integrals in polar coordinates
• Surface area

**📚 Learning Experience:

• Videos: Engaging and comprehensive video lectures to introduce and explain each topic. Gina Chou demonstrates solving techniques with a variety of examples.

• Notes: Downloadable and detailed lecture notes that can be reviewed even offline, complementing your learning experience.

• Assignments: Practical problem sets designed to apply what you've learned. These exercises are essential for reinforcing your understanding and ensuring mastery of the subjects covered.

**🚀 Course Inclusions:

• Lifetime Access: Gain unlimited access to this comprehensive course, allowing you to learn at your own pace, whenever you choose.

**✨ Additional Highlights:

• Downloadable Lectures: Watch videos on any device, anytime, anywhere.

• Downloaded Lecture Notes: Review lectures offline and take your own notes for future reference.

• Practice Problem Sets: Seven problem sets at the end of each section, complete with solutions to help you check your work.

• Step-by-step Guides: Detailed guides to assist you in solving problems, ensuring a deeper understanding of Calculus III concepts.

**🚀 Join Gina Chou on this educational journey and transform the way you approach calculus! 🌟

Whether you're a student, educator, or lifelong learner, this course is designed to provide you with the tools and knowledge you need to excel in Calculus III. With Gina Chou's personal touch and dedication to your success, you're set up for triumph.

Sign up today and take the first step towards conquering Calculus III! 💫