Calculus 1
Earn college credit with Calculus I—a self-paced online course covering limits, derivatives, applications of differentiation, and introductory integration. Complete short lessons, quizzes, and assignments on your schedule, then finish with a proctored final exam. Ideal for STEM prerequisites and degree requirements, with transcript options for transfer credit.
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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.
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Learning Outcomes
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.
Major Course Topics
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.


