## Course Detail

 Course Name Single Variable Calculus Course Code 19MAT101 Program B. Tech. in Electrical and Electronics Engineering, B. Tech. in Civil Engineering, B. Tech. in Aerospace Engineering, B. Tech. in Chemical Engineering, B. Tech. in Mechanical Engineering, B. Tech. in Computer Science and Engineering, B. Tech. in Computer and Communication Engineering, B. Tech. in Electronics and Communication Engineering, B. Tech. in Electronics and Computer Engineering Semester One Year Taught 2019

### Syllabus

##### 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 Books

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.

### Objectives

 CO – PO Mapping /CO  PO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 CO1 1 3 — — — — — — — — — — CO2 1 2 — — 2 — — — — — — —

### 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.

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