Senior High School Specialized Subject: Basic Calculus
Basic Calculus is one of the specialized subjects under the Academic career track and the STEM learning strand. Some examples of the things that you will learn from taking this subject include:
- Limits and Continuity
- the basic concepts of limit and continuity of a function
- Derivatives
- basic concepts of derivatives
- Integration
- antiderivatives and Riemann integral
While studying, you will also be asked to demonstrate what you have learned by participating in class activities that may include the following:
- Formulating and solving real-life problems involving continuity of functions
- Formulating and solving situational problems involving extreme values
- Formulating and solving situational problems involving related rates
- Formulating and solving situational problems involving population models
- Formulating and solving real-life problems involving areas of plane regions
- Applying the limit laws in evaluating the limit of algebraic functions
- Computing the limits of exponential, logarithmic, and trigonometric functions using tables of values and graphs of the functions
- Solving optimization problems
- Computing higher-order derivatives of functions
- Solving problems using implicit differentiation
- Computing the general antiderivative of polynomial, radical, exponential, and trigonometric functions
- Computing the definite integral of a function using the Fundamental Theorem of Calculus
- Computing the area of a plane region using the definite integral
These examples only cover the scope of the specialized subjects under the Academic track and STEM learning strand. For the scope of the core and contextualized subjects under the senior high school curriculum, please refer to their respective lists.