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Berkeley Global
This course introduces the foundational principles of differential and integral calculus. Students will examine the derivative as a measure of instantaneous rate of change and the slope of a tangent line, as well as its real-world applications to motion, growth, and economic modeling. The course also develops a formal understanding of the definite integral as both a summation process and an antiderivative, grounded in the central role of limits. Learners will build proficiency in interpreting symbolic expressions, recognizing underlying algebraic structures, and applying calculus concepts to complex theoretical and real-world problem sets. By the end of the course, students will have developed a strong conceptual framework for further study in mathematics, data science, economics, engineering, and other quantitative disciplines.
Prerequisites:
Three years of high school mathematics, including trigonometry and geometry
Course Outline
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- Explain the derivative as a rate of change, the slope of the tangent line, velocity or marginal economic units
- Explain the definite integral as both a summation and an antiderivative
- Recognize and explain the role of limits in both of the above concepts
- Recognize and read symbolic forms and the algebraic structure underlying the study of calculus
- Apply concepts to solve increasingly more difficult problems
- Explain the role of proofs in mathematics
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Fall 2026 enrollment opens on June 15!