**ESE** - End Semester Examination, **PA** - Progress Assessment, **ALA** - Active Learning Assignments, **OEP** -Open Ended Problem

Student should be able to graph elementary functions and solve both linear equations and inequalities. Students entering in Calculus should have a firm grasp of algebra and trigonometry, trigonometric functions, inverse trigonometric functions and their properties, exponential and logarithmic function. Continuity and Differentiability of functions, Derivatives of Functions in Parametric Forms, Mean Value Theorem, Rate of Change of Quantities, Increasing and Decreasing Functions, Tangent, N

- Add together infinitely many numbers.
- Represent a differentiable function f(x) as an infinite sum of powers of x.
- Decide on convergence or divergence of a wide class of series.
- See concavity of graph and find out points of inflection.
- Observe behaviour of function f(x) as x goes to infinity/ negative infinity.
- Able to evaluate indeterminate forms using L'Hospital's Rule.
- To answer at least about the convergence or divergence of integral when integral is not easily evaluated using techniques known.
- Able to evaluate the volume of solids such as pyramid, sphere, etc. by slicing method.
- Generate the solid by rotating region about an axis in its plane and hence calculating the volume of solid, by disk method.
- If the solid of revolution has a hole in it, then determine the volume by washer method.
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Preparation of power-point slides, which include videos, animations, pictures, graphics for better understanding the applications of Calculus to engineering applications – The faculty will allocate chapters/ parts of chapters to groups of students so that the entire syllabus of Calculus is covered. The power-point slides should be put up on the web-site of the College/ Institute, along with the names of the students of the group, the name of the faculty, Department and College on the first slide. The best three works should be sent to achievements@gtu.edu.in.