Johns Hopkins University 4 credits Computer Science
This one-semester Calculus course is designed to equip students with a comprehensive foundation in differential and integral calculus. This one semester accelerated course covers key topics from the semester-based Calculus I and Calculus II courses. The course begins with limits, continuity, and the fundamentals of derivatives, with applications such as optimization and L’Hospital’s rule. Students then progress to integrals, learning techniques of integration, applications of the definite integral, and concepts like area, volume, and work. The latter part of the course covers sequences, series, and convergence tests, along with a focused study of Taylor and Power Series. Emphasis is placed on problem-solving and modeling real-world problems using calculus. This accelerated course requires a strong grasp of algebra, precalculus, and trigonometry, as it moves at a rapid pace and assumes prior familiarity with foundational mathematical concepts. Students are expected to engage actively with the material through lectures, discussions, and extensive practice. By the end of the course, students will have developed both the conceptual understanding and computational skills necessary for further study in engineering.
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