Calculus I (MATH 101)
الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.
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About the Course
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This course will cover the following: real numbers and number line, inequalities and graphs of functions; even and odd functions and composite functions; trigonometry functions and inverse functions; limits and continuity; properties of continuous functions and derivatives; the relation between differentiation and continuity; chain rule; derivatives of trigonometry functions and exponentials; logarithm functions and rules; the mean value theorem; increasing decreasing functions and extrema values; concavity and graphs of functions; then the rate of change, maximizations, and conic sections.
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You Will Learn :
Real Numbers and Real Line, Inequality, Functions, The Graph of Functions, Even and Odd Functions, Composite Functions, Trigonometric Functions, Inverse Functions, Concept of Limit, Formal Definition of Limits, Computation of Limits, Continuity, Limits Involving Infinity, Relation Between Differentiable Function and Continuity, The Derivative, Computation of Derivatives Rules, Tangent Lines and Velocity, The Product and Quotient Rules, The Chain Rule, Derivatives of Trigonometric, Derivatives Exponential and Logarithmic Functions, Implicit Differentiation, and Inverse Trigonometric Functions, The Mean Value Theorem, Indeterminate Forms & L'Hopital's Rule, Maximum and Minimum Values, Increasing and Decreasing Functions, Concavity & Second Derivative Test, Curve Sketching, Conic Sections, Parabola, Ellipse, Hyperbola, and Circles.
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Target Group :
*Academic Level : Academic University Student
* Speciality : Mathematics
* Material : MATH 101
* University Name : Qassim University -
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Academic University Student
Speciality : Mathematics
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