Delve into advanced calculus concepts in this comprehensive 12-hour course covering inverse functions, exponential and logarithmic functions, derivatives, integration techniques, differential equations, sequences, and series. Master topics such as l'Hôpital's Rule, integration by parts, trigonometric integrals, partial fractions, Euler's method, linear equations, predator-prey systems, and Taylor and Maclaurin series. Develop problem-solving skills through various applications and gain a deeper understanding of calculus principles essential for further mathematical studies and real-world applications.