Dive into advanced calculus concepts through a comprehensive 7-hour course covering integral calculus, sequences, series, and parametric equations. Master techniques for calculating volumes, arclengths, and areas between curves. Learn integration methods including parts, trig substitution, and improper integrals. Explore convergence tests for sequences and series, and delve into power series and Taylor series. Conclude with an introduction to parametric equations and polar coordinates. Enhance problem-solving skills with proofs and real-world applications throughout the course.