About the Subject
Basic Calculus is a specialized subject in the Senior High School (SHS) curriculum in the Philippines under the Science, Technology, Engineering, and Mathematics (STEM) strand. It is designed to provide students with a foundation in calculus concepts and their applications to solve real-world problems.
The subject covers topics such as limits, derivatives, integrals, and applications of these concepts. Students will learn how to analyze and solve problems involving rates of change, optimization, and related rates using calculus concepts. They will also learn how to apply calculus to various disciplines, such as physics, engineering, and economics.
The Basic Calculus subject in SHS aims to develop the students' critical thinking skills and problem-solving abilities, which are essential for success in STEM fields. It also provides a strong foundation for students who plan to pursue higher education in mathematics, engineering, or related fields.
To succeed in Basic Calculus, students should have a solid understanding of algebra and trigonometry concepts. The subject requires a high level of mathematical reasoning and abstract thinking, as well as the ability to apply mathematical concepts to real-world situations.
In the first quarter, the subject introduces the students to the basic concepts of calculus, including limits, derivatives, and continuity. The students learn how to graph functions and analyze their behavior using calculus concepts. They also learn how to use derivatives to determine the slopes and rates of change of functions, as well as to solve optimization problems. Additionally, students learn about different types of functions, such as polynomial, rational, and trigonometric functions, and how to differentiate them.
Download Links:
Module 1: The Limit of a Function and Limit Laws
Module 2: Limits of Transcendental Functions and Special Limits
Module 3: Continuity of Functions
Module 4: Introduction to Derivatives
Module 5: Derivative of a Function and Rules for Differentiation
Module 6: Extreme Value Theorem and Optimization Problems
Module 7: Chain Rule and Implicit Differentiation
Module 8: Implicit Differentiation and Related Rates
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