Porosheets 's Overview Calc 4 (undergrad) is a comprehensive course that covers advanced topics in calculus. It delves into concepts such as the fundamental theorem of calculus, double integrals, limits, differential equations, Maclaurin series, divergence theorem, absolute extrema, Laplace transform, convergence of series, critical points, partial derivatives, and line integrals. This course aims to provide students with a deep understanding of these concepts and their applications in various fields. By the end of the course, students will have developed a strong foundation in advanced calculus and be able to apply their knowledge to solve complex mathematical problems. Porosheets 's Features Comprehensive coverage of advanced calculus topics Application of concepts in various fields Development of strong mathematical problem-solving skills Porosheets 's Q&A What is the fundamental theorem of calculus? Explain the concept of a double integral. What is the definition of a limit in calculus? Solve the differential equation y'' + 2y' + y = 0. What is the Maclaurin series representation of sin(x)? Prove the divergence theorem in vector calculus. Find the absolute extrema of the function f(x) = x^3 - 3x^2 + 2x on the interval [0, 2]. What is the Laplace transform of f(t) = t^2 + 3t - 2? Prove the convergence of the series (n=1 to infinity) of 1/n. Consider the function f(x) = x^3 - 3x^2 + 2x. Determine all critical points and classify each as a local minimum, local maximum, or neither. Define the concept of a partial derivative. Solve the differential equation y' + y = e^(-x). What is the definition of a line integral? Porosheets 's Pricing Please refer to the website for pricing information. Learn More