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20250417892
MTH1101
3 hours English

Calculus 1

, Calculus 1
1 Pre-Calculus: Prepares students with the foundational concepts necessary for the study of calculus. Topics include a review of key mathematical principles, 2D geometry (lines and circles), and trigonometric functions along with their properties
2 Limits and Continuity: Introduction to Limits, Theorems on limits, Limit at infinity and infinite limits, Continuity
3 Differentiation: Definition of Derivative (Using Limits), Rules and Theorems for Finding Derivatives, Derivative of Trigonometric Function, Chain Rule, Higher Order Derivatives, Implicit Differentiation
4 Integration: Antiderivatives, Fundamental Theorems of Calculus
5 Others: Quizzes, Revision and Activities, Exam …
1.1 Mapped to: K1

Determine the existence of limits of functions and use the limit properties to evaluate them.

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1.2 Mapped to: K2

Recognize infinite limits, and limits at infinity.

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2.1 Mapped to: S1

Apply mathematical concepts to find sets of solutions for equations and inequalities in one variable

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2.2 Mapped to: S2

apply the Fundamental Theorem of Calculus.

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2.3 Mapped to: S4-S6

Evaluate the derivatives of a function using the limit definition and the differentiation rules.

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2.4 Mapped to: S5

Investigate the continuity of a function at a point and on intervals.

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3.1 Mapped to: V1

Effectively manage their time to meet deadlines in both individual and group tasks.

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3.2 Mapped to: V2

Working effectively in groups, demonstrating communication skills and time management

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