[vc_row el_class=”inner-body-content” css=”.vc_custom_1666845084769{padding-top: 30px !important;padding-bottom: 20px !important;}”][vc_column][vc_custom_heading text=”COURSE OBJECTIVES” use_theme_fonts=”yes” css=”.vc_custom_1666845070188{margin-top: 0px !important;}”][vc_column_text]

1. To learn fundamentals of mathematics, calculus and analytical geometry.
2. To enable students to apply the ideas to solve problems of practical nature.

[/vc_column_text][vc_custom_heading text=”COURSE LEARNING OUTCOMES (CLO)” use_theme_fonts=”yes”][vc_column_text]CLO:1 Have knowledge related to the fundamentals of calculus and analytical geometry.
CLO:2 Understand the differentiation integration and their applications.
CLO:3 Apply the acquired knowledge to solve problems of practical nature.[/vc_column_text][vc_custom_heading text=”COURSE CONTENTS” use_theme_fonts=”yes”][vc_column_text css=”.vc_custom_1666845026684{margin-bottom: 0px !important;}”]

1. Limits and Continuity
• Introduction to limits
• Rates of change
• Continuity
2. Differentiation
• Definition and examples
• Relation between differentiability and continuity
• Equations of tangents and normals
• Derivative as slope, as rate of change (graphical representation)
• Differentiation and successive differentiation and its application to rate, speed and acceleration
• Maxima and minima of function of one variable and its applications
• Convexity and concavity
• Points of inflexion
3. Integration
• Indefinite integrals
• Definite integrals
• Integration by substitution, by partial fractions and by parts
• Integration of trigonometric functions
• Riemann sum, fundamental theorem of calculus
• Area under the graph of a nonnegative function
• Area between curves
• Improper integrals
4. Transcendental functions
• Inverse functions
• Hyperbolic and trigonometric identities and their relationship
• Logarithmic and exponential functions
5. Vector calculus
• Three-dimensional geometry
• Vectors in spaces
• Rectangular and polar co-ordinate systems in three dimensions
• Direction cosines
• Plane (straight line) and sphere.
• Partial derivatives
• Partial differentiation with chain rule
• Total derivative
• Divergence, curl of a vector field
6. Analytical geometry
• Arc-length and tangent vector
• Lengths of curves
• Radius of gyration
• Fubini’s theorem for calculating double integrals
• Areas moments and centers of mass
• Centroid of a plane figure
• Centre of gravity of a solid of revolution
• Moment of inertia
• Second moment of area
• Centers of pressure and depth of centre of pressure.
• Triple integrals, volume of a region in space
• Volumes of solids of revolution
• Curvature, radius and centre of curvature

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