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Mth 121 Calculus, 2022 Computer science

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At the end of this course, each student should be able to: Define the concepts of functions, range, and domain at the conclusion of this session, Use maps to diagrammatically depict the link between Range and Domain. List the various types of functions. Limits and continuity. Differentiation is defined as the rate of change. the two Utilize the first principle for solving issues. Utilize the usual derivative table. Use the chain rule to solve problems with functions of a function. Work out problems involving products, the quotient rule, implicit forms, and logarithmic forms. Differentiate trig, polynomial, and parametric. Inverse trigonometric equations are sometimes used. Using a table of standard forms, combine standard phrases. Integrate linear form-based functions Integrals having integrands of the type f'(x)/f(x) and f(x).f'(x) should be evaluated. Integrate using partial fractions and parts Adding trigonometric functions together

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Module 3
THE IDEA OF CONTINUITY

, Continuity
The relationship between limits, continuity and a defined functio
often confusing to many students at their first encounter of these
concepts. A gradual simplification is presented as follows.
For example:

𝑥, 𝑓𝑜𝑟 𝑥 < 2
The function 𝑓 𝑥 = ቊ
𝑥 − 3 𝑓𝑜𝑟 𝑥 > 2


Has the graph

, 2 B D




x
2 0 2 4 6



-2 c


A

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