The students must know how to determine the limit of function, differentiate, and integrate algebraic, exponential, logarithmic and trigonometric expressions in one variable.
Associated Departments:
Academic Track , Science, Technology, and Mathematics - CORE , Senior High SchoolTaken during the second semester of the Grade 11 students as a continuation of the Pre-Calculus of the STEM students, Basic Calculus involves a study of limits, continuity, derivatives and integrals; computations of derivatives—sum, product, and quotient formulas, chain rule, implicit differentiation, applications of derivatives to optimization problems and related rate problems; mean-value theorem; definite integrals and fundamental theorem of calculus; application of definite integrals to computations of areas (length, surface) and volumes. At the end of the course, the students must know how to determine the limit of a function, differentiate, and integrate algebraic, exponential, logarithmic, and trigonometric functions in one variable, and to formulate and solve problems involving continuity, extreme values, related rates, population models, and areas of plane regions.
