This course provides a comprehensive introduction to Calculus, focusing on the fundamental concepts of limits, derivatives, integrals, and their applications. Designed for learners building a strong mathematical foundation, the course gradually develops analytical thinking and problem-solving skills essential for advanced study in mathematics, science, engineering, and related fields.
Students will explore key topics such as continuity, differentiation techniques, optimization, related rates, definite and indefinite integrals, the Fundamental Theorem of Calculus, and basic differential equations. Through instructional materials, guided examples, practice exercises, quizzes, and real-world applications, learners will gain both conceptual understanding and practical proficiency.
By the end of the course, students will be able to:
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Understand and evaluate limits using analytical, graphical, and numerical methods
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Apply derivative rules to compute rates of change and solve applied problems
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Use integration to find areas, volumes, and accumulations
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Connect derivatives and integrals through the Fundamental Theorem of Calculus
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Interpret and solve real-world problems using calculus methodsThis course is suitable for beginners as well as students seeking to strengthen their skills before moving to more advanced mathematics.
- Teacher: Admin User