Courses
Difficulty Level: INTERMEDIATE
Age group: 15-19
Definite Integrals - Introduction to Definite Integrals - Estimating With Finite Sums - Calculate Definite Integrals - Definite Integrals and Anti derivatives - The Fundamental Theorem of Calculus - The Trapezoidal Rule - Definite Integrals : Assignment Applications of Definite Integrals - Introduction to Applications of Definite Integrals - Integral as Net Change - Areas in the Plane - Volumes - Applications from Science and Statistics - L'Hopital Rule and Other Applications - Applications of Definite Integrals : Assignment Mathematical Modeling Using Differential Equations - Introduction to Mathematical Modeling Using Differential Equations - Slope Fields - Anti differentiation by Substitution - Exponential Growth and Decay - Differential Equation : Assignment
Should have studied algebra, geometry, trigonometry, analytic geometry, and elementary functions
Should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions
Should familiar with basic concepts of differentiation
Improper Integrals: Learn to evaluate improper integrals, including those with infinite limits of integration and unbounded integrands, using advanced techniques and concepts.
Fundamental Theorem of Calculus: Apply the Fundamental Theorem of Calculus to evaluate integrals and understand the relationship between differentiation and integration.
Applications of Integrals: Explore complex applications of integrals, including calculating areas, volumes, work, and other physical quantities.
Techniques of Integration: Gain proficiency in advanced techniques of integration, such as integration by parts, partial fractions, and trigonometric substitution.
Mastery of Definite and Indefinite Integrals: Develop a deep understanding of both definite and indefinite integrals, including their properties and applications.
You will learn to evaluate definite integrals
You will know the connection between differentiation and integration
You will gain an understanding of exponential growth/decay
You will master solving wide range of problems involving rate of change, volume of solids, area enclosed by the curve, and many more
You will get skillful in solving differential equations
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