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US$50
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Duration: 7 Days
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Delivery mode: Online
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Group size: Individual
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Instruction language:
English
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Certificate provided:
No
Calculus Course Content
1. Analytical Geometry
Introduction to Calculus and Course Overview
Scalars, Vectors, and Vector Operations
Three-Dimensional Coordinate Systems
Equations of Lines and Planes in 3D Space
2. Limits and Continuity
Concept of Limits
Techniques for Evaluating Limits
Continuity of Functions
Applications of Limits and Continuity
3. Differentiation
Rules and Techniques of Differentiation
Tangent Lines and Rates of Change
Maxima and Minima (Extrema)
Rolle's Theorem
Mean Value Theorem
Concavity and Points of Inflection
Applications of Derivatives
4. Integration and Its Applications
Riemann Sums
Definite and Indefinite Integrals
Properties of Integrals
Techniques of Integration
Solids of Revolution
Volume by Disk, Washer, and Cylindrical Shell Methods
Cross-Section Method
Arc Length
Surface Area of Revolution
Center of Mass
Improper Integrals
Indeterminate Forms and L'Hôpital's Rule
Trigonometric Integrals
5. Sequences and Series
Sequences and Their Convergence
Infinite Series
Convergence and Divergence Tests
Positive-Term Series
Integral Test
Comparison and Limit Comparison Tests
Ratio and Root Tests
Alternating Series
Absolute and Conditional Convergence
Power Series
Taylor Series
Maclaurin Series
Additional Support
Exam Preparation
Assignment Assistance
Problem-Solving Sessions
Engineering and Real-World Applications of Calculus