UPI Study, Inc. | Evaluated Learning Experience
Math 165: Calculus 1
Varies (self-study, self-paced).
March 2021 - Present.
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.
The course is self-paced. Instruction is delivered through online video and text lessons. Students are assessed through quizzes, assignments and a proctored final exam. Major topics include fundamentals of graphing and functions; understanding continuity in functions; introduction to vector analysis; analytical Geometry and trigonometric principles; advanced techniques in calculator; utilization advanced concepts in limit analysis; advanced concepts in rate analysis; advanced techniques in Calculus: derivatives and their applications; advanced graphical analysis and L'Hôpital's Theorem; advanced applications of Calculus; advanced techniques in series analysis; advanced techniques in Calculus: integration and applications; advanced techniques in integral; Calculus advanced applications of integration; and advanced topics in differential equations.
In the upper division baccalaureate degree category, 4 semester hours in Calculus, Mathematics, Computer Science, Economics, or as a general education math elective (5/24).