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Course Info

About this Course

This course consists of calculus and ordinary differential equation. Students will learn calculus dealing mainly with differentiation and integration involving inverse trigonometric functions, hyperbolic and inverse hyperbolic functions. It also covers the topics on the first and second order differential equations.

Course Syllabus

INVERSE TRIGONOMETRIC FUNCTIONS
• Introduction (notation, properties and their graphs)
• Evaluating Inverse Trigonometric Functions using Triangle Method
• Derivatives of Inverse Trigonometric Functions
• Integrations of Inverse Trigonometric Functions

HYPERBOLIC AND INVERSE HYPERBOLIC FUNCTIONS
• Solving the Hyperbolic Functions using Identities and Definition
• Derivatives and Integrations of Hyperbolic Functions
• Definition of Inverse Hyperbolic Functions
• Derivatives and Integrations of Hyperbolic Functions


INTEGRATION TECHNIQUES
• Integration by parts
• Integration by substitutions including trigonometric substitutions
• Integrating rational functions by partial fractions

DIFFERENTIAL EQUATIONS
• Formation of differential equations
• Differential equations of the first order and first degree
• Differential equations of the second order and first degree
• Applications of first order differential equations

Frequently Asked Questions

Q1 : What I need to prepare for myself?
A1 : You need to have a basic knowledge on Trigonometry function at least