Advanced Calculus: Foundations & Application

This course provides a deep dive into advanced mathematical concepts essential for engineering and physics students. We cover rigor, proofs, and real-world application, ensuring that students not only solve equations but understand the underlying theory.

Learning Objectives (Bullet points):

1. Master the formal definition of limits and continuity.
2. Develop proficiency in differential and integral calculus of single and multivariable functions.
3. Apply vector calculus to solve physical problems.
4. Analyze infinite series and their convergence criteria.

Course Prerequisites:

1. Fundamental Algebra and Trigonometry.
2. Basic understanding of function graphs and logarithms.