
Course Summary: Differential Calculus I
Differential Calculus I introduces learners to the foundational concepts of calculus, focusing on the study of how quantities change. This course is designed to develop students' analytical thinking, problem-solving abilities, and mathematical reasoning through the concept of the derivative and its applications.
The course covers the basics of limits, continuity, and the derivative, and progresses to rules of differentiation, higher-order derivatives, and real-world applications. Students will explore how to analyze functions, determine rates of change, and solve problems related to motion, growth, and optimization.
By the end of the course, students will be able to:
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Understand and compute limits and derivatives.
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Apply differentiation rules to algebraic, trigonometric, and exponential functions.
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Analyze the behavior of functions using derivatives.
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Solve practical problems involving rates of change and optimization.
This course combines instructional content with interactive quizzes, guided examples, and problem sets to reinforce understanding. It is ideal for students in technical, engineering, and mathematical fields.
- Teacher: Admin User