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 second quarter, the subject focuses on integrals and their applications. The students learn how to find indefinite and definite integrals and apply integration techniques, such as substitution and integration by parts. They also learn how to use integrals to solve problems involving areas, volumes, and work. Moreover, students learn about different types of sequences and series and how to analyze them using calculus concepts.
Download Links:
Module 1: Antiderivative of a Function
Module 2: The Antiderivative of a Function Using Substitution Rule
Module 3: Application of Antidifferentiation
Module 4: The Definite Integral as the Limit of the Riemann Sums and the Fundamental Theorem of Calculus
Module 5: The Definite Integral of a Function using Fundamental Theorem of Calculus
Module 6: The Definite Integral of a Function Using the Substitution Rule
Module 7: Area of a Plane Region using Definite Integral
Module 8: Areas Between Curves
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