'Single Variable Calculus' is a course offered in the first semester of B. Tech. programs at the School of Engineering, Amrita Vishwa Vidyapeetham.
Course Outcomes
| CO1 | To understand the concepts of single variable calculus. |
| CO2 | To sketch graphs for functions using the concepts of single variable calculus and apply the fundamental theorem of calculus to evaluate integrals. |
Mapping of course outcomes with program outcomes:
| CO – PO Mapping | ||||||||||||
| /CO PO | PO1 | PO2 | PO3 | PO4 | PO5 | PO6 | PO7 | PO8 | PO9 | PO10 | PO11 | PO12 |
| CO1 | 1 | 3 | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| CO2 | 1 | 2 | --- | --- | 2 | --- | --- | --- | --- | --- | --- | --- |
Calculus
Graphs : Functions and their Graphs. Shifting and Scaling of Graphs. (1.5)
Limit and Continuity: Limit (One Sided and Two Sided) of Functions. Continuous Functions, Discontinuities, Monotonic Functions, Infinite Limits and Limit at Infinity. (2.1, 2.6)
Graphing : Extreme Values of Functions, Concavity and Curve Sketching, (4.1, 4.4).
Integration: Definite Integrals, The Mean Value Theorem for definite integrals, Fundamental Theorem of Calculus, Integration Techniques. (5.2 - 5.3, 8.1 – 8.5)
Evaluation Pattern:
Test-1 -25 marks (one hour test) after 8th lecture.
CA - 25 marks (Quizzes / assignments / lab practice) Test – 2- 50 marks (two-hour test) at the end of 15th lecture. Total - 100 marks.
Supplementary exam for this course will be conducted as a two-hour test for 100 marks.
Text Book
- ‘Calculus’, G.B. Thomas Pearson Education, 2009, Eleventh Edition.
Reference
- ‘Calculus’, Monty J. Strauss, Gerald J. Bradley and Karl J. Smith, 3 r d Edition, 2002.
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