Ser. | CLO | Domain | Taxonomy Level | PLO |
---|---|---|---|---|
1 | Explain the ideas of rate of change and derivatives using the concept of limits and continuity. | Cognitive | 1 | 1, 3 |
2 | Use the techniques of integration for solving and analyzing problems in integral calculus. | Cognitive | 2 | 2 |
3 | Apply the derivatives for solving different problems arising in engineering sciences. | Cognitive | 2 | 1,3 |
4 | Learn and use the vector calculus and analytical geometry in multiple dimensions for investigation of different engineering problems. | Cognitive | 3 | 1,4 |
Serial No. | Program Learning Outcome Fulfilled by this course |
---|---|
1 | Engineering Knowledge |
2 | Problem Analysis |
3 | Design/Development of Solutions |
4 | Investigation |
Type of Functions (continuous, periodic, odd, even), graphs of functions,Limits and continuity, Derivatives, total differential, Higher odder derivative, Tangents and normal, approximation by Taylor and Maclaurins, Maxima & Minima and Point of inflection, Integral Calculus (basic concepts, Integral formula, some rules of integral), Integration by parts, area bounded by curve, volume of revolution.
Multivariate Calculus (Basic Concept, level curves and surfaces, limits and continuity), Partial Derivative, Higher order partial derivative, tangent plan, total differential, Vector functions its derivative and integration, Directional derivative, gradient, scalar and vector, Normal property of gradient, diversions, curl, Tangent plans and normal lines, extrema of function of two variable, Second partial test, extreme value theorem, Method of constrained optimization and Lagrange multiplier.
Teaching Mode: Online Lectures
Sessionals (Assignmenta + Quizzes) : 25 %
Midterm : 25 %
Final Term : 50 %
Text book:
CLO-1
0%
CLO-2
0%
CLO-3
0%
CLO-4
0%
PLO-1
50 %
PLO-2
80%
PLO-3
60%
PLO-4
80%
Course Final Grade : A
95%
Using Matlab I solved several problem on topics like Limits and Continuity, Numerical Series and Power Series, Derivatives and their Applications, Vector Differential Calculus and Theorems in Several Variables, Integration and its Applications, Integration in Several Variables and Applications, Differential Equations etc. The Problem definitions, detailed solutions along with code can be accessed using the following link
Using Software like Mathematica, GeoGebra and Winplot, I was able to understand, visualize and demonstrate several difficult concepts of Calculus. To Know more about it and to access the code that i used during the process, please click the button below
Here, I will list all those scenarios of my day to day life where I have been able to successfully apply my knowledge of calculus. These includes, predicting profit or loss in future, calculating the length of wire needed for a job, modelling motion etc. For complete details, Please click the button below :
This course helped me in using mathematics as a tool to model, understand, and interpret the world around me. I did it through studying functions, their properties, and their applications to data analysis. Concepts of precalculus provided the set of tools to begin my scientific career, preparing me for future science and calculus courses.