'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

  1. ‘Calculus’, G.B. Thomas Pearson Education, 2009, Eleventh Edition.

Reference

  1. ‘Calculus’, Monty J. Strauss, Gerald J. Bradley and Karl J. Smith, 3 r d Edition, 2002.