Calculus (On Campus) :

Course Learning Outcomes

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

Program Learning Outcomes fulfilled by this course

Serial No.

Program Learning Outcome Fulfilled by this course

1

Engineering Knowledge

2

Problem Analysis

3

Design/Development of Solutions

4

Investigation

Course Outline

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 Methodology, Assessment and Reference Books

Teaching Mode: Online Lectures

Sessionals (Assignmenta + Quizzes) : 25 %

Midterm : 25 %

Final Term : 50 %

Text book:

  • Calculus by Thomas Finney, Addison-Wesley Publishing Company.
  • Mathematics for Engineer 2nd Edition by Robert Davison.
  • Multivariate Calculus 2nd Edition by Robert T. Smith.

Assignments

Assignment No. 1

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Assignment No. 2

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Assignment No. 3

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Quizzes

Quiz No. 1

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Quiz No. 2

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Quiz No. 3

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Course Projects

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CLO's Attainment

CLO-1

0%

CLO-2

0%

CLO-3

0%

CLO-4

0%

PLO's Attainment

PLO-1

50 %

PLO-2

80%

PLO-3

60%

PLO-4

80%

Course Final Grade

Course Final Grade : A

95%

Calculus (Off - Campus):