KINGDOM OF SAUDI ARABIA Ministry of Education KING ABDULAZIZ UNIVERSITY
Faculty of science Women's Campus
Mathematics Department
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Course Course title
MATH 1 ^ • Calculus I
No. Of Units Pre-requisites
- 0 - 0
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Objectives of the course Provide the student with the basic concept in
mathematics:
- Functions and their properties
- Different kind of functions and their properties - Limit and continuity Differentiation
- Applications of differentiation
Course Description Elementary Algebra:
- Basics of Sets.
- Equations and Inequalities.
- Lines.
Functions:
- Functions and Their Graphs.
- Identifying Functions and Mathematical Models.
- Combing Functions, Shifting and Scaling Graphs.
- Trigonometric Functions.
- Exponential Functions.
- Inverse Functions, Logarithms Function and Inverse Trigonometric Functions.
Limits and Continuity:
- Limits of Real - Valued Functions.
- Calculating Limits Using the Limits Laws.
- One Side Limits and Limits at Infinity.
- Infinite Limits and Vertical Asymptotes.
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KINGDOM OF SAUDI ARABIA Ministryof Education KING ABDULAZIZ UNIVERSITY
Faculty of science Women's Campus
Mathematics Department
-Continuity.
Differentiation:
-The Derivative as a Function.
- Differentiation Rules
- Derivatives of Trigonometric Functions.
- The Chain Rule
- Implicit Differentiation.
- Derivatives of Logarithmic Functions.
Applications of Differentiation:
-Extreme Values
-Monotonic functions and Concavity
Main text books
Mathematics for preparatory year students Author: Mathematics department KAU
Publisher: Khawarizm academic
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