Calculus I (MATH 101)
الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.
Total Lessonses 57
Total hours : 31:57:37
Duration Of Course 17 weeks
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About the Course
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This course covers the following subjects: real numbers and real lines—inequalities Functions: the graph of functions; even and odd functions; a composite of functions; trigonometric functions; inverse functions; inverse trigonometric functions; limits; properties of limits; techniques for evaluating limits; infinite limits continuity; properties of continuity; differentiation; the relationship between differentiation and continuity; differentiation laws; derivatives of trigonometric and inverse trigonometric functions; derivatives of hyperbolic and inverse hyperbolic functions; logarithmic and exponential functions and their derivatives using the first derivative to study increasing and decreasing functions' implicit differentiation; L'Hospital’s rule, Rolle's rule, and the mean value theorems use differentiation to study the concavity of functions and some applications of differentiation.
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You Will Learn :
Real Numbers and Real Line, Inequalities, Functions, The Graph of Functions, Even and Odd Functions, Composite of Functions, Trigonometric Functions, Inverse Functions, Inverse Trigonometric Functions, Definition of Limits, Properties of Limits, Techniques for Evaluating Limits, Infinite Limits, Continuity, Properties of Continuity, Definition of Differentiation, The Relationship Between Differentiation and Continuity, Differentiation Laws, Derivative of Trigonometric, Derivative of Inverse Trigonometric Functions, Derivative of Hyperbolic, Derivative of Inverse Hyperbolic Functions, Logarithmic Functions Derivatives, Exponential Functions Derivatives, Chain Rule, Tangent Line Equations Applications of Differentiation, Implicit Differentiation, Hospital’s Rule, Rate of Change Problems, Rolle's Rule and the Mean Value Theorems, Using the First Derivative to Studying an Increasing and Decreasing Functions, Using Differentiation to Study Concavity of Functions, The Second Derivative Test, Curve Sketching, and Curve Sketching.
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 101
* University Name : Alfaisal University -
Suggested courses:
0 Homeworks 
0 Quiz Total Lessonses 57
Total Hours 31:57:37
Duration Of Course 17 weeks
2 Lessons
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3 Lessons
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2 Lessons
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2 Lessons
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3 Lessons
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2 Lessons
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2 Lessons
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2 Lessons
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1 Lessons
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1 Lessons
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3 Lessons
1:55:19
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0:37:39
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1 Lessons
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