Upon the successful completion of this course, students will be able to: apply calculus concepts, including functions, graphing techniques, and composition to accurately interpret and graph inverse functions; analyze polynomial, exponential, and logarithmic functions, with a focus on graphical interpretations and practical applications in various fields; evaluate continuity within functions by identifying continuous and discontinuous points and apply the Intermediate Value Theorem in problem-solving contexts; solve problems involving vectors, from definitions to practical applications in vector calculus to develop a holistic comprehension of this mathematical domain; and solve differential equations to model dynamic systems across diverse disciplines and apply problem-solving skills to complex real-world scenarios.