### Calculus 1 (MATH-5101)

Introduction: Calculus is the branch of mathematics that deals with the finding and properties of derivatives and integrals of function, by methods originally based on the summation of infinitesimal differences. The two main types are differential calculus and integral calculus.

Calculus-I (MATH-5101)

Learning Outcomes:

This is the first course of the sequence, serving as the foundation of advanced subjects in all areas of mathematics. The sequence, equally, emphasizes basic concepts and skills needed for mathematical manipulation. Calculus I focus on the study of functions of a single variable.

Prerequisites

Prerequisites for calculus include courses typically called Algebra I (elementary algebra) and Algebra II (intermediate algebra), elementary geometry as well as an introductory analysis course usually called precalculus.

Course Contents:

Functions, Types of functions, Functions of several variables and their optimization.

Limits and continuity: Limit of a function, properties of limits. limits of polynomials, rational and transcendental functions, limits at infinity, infinite limits, one-sided limits, continuity.

Derivatives: Definition, techniques of differentiation, derivatives of polynomials and rational, exponential, logarithmic and trigonometric functions, the chain rule, implicit differentiation,, related rates, linear approximations and differentials, higher order derivatives,Applications of derivatives in Business and Economics.

Differential equations, Differential of growth and decay models.

Integration: Anti derivatives and integrals, Integration by tables, Area under the curve and between curve. Partial derivative and their optimization.

Recommended Books:

1. Thomas, Calculus, latest Edition. Addison Wesley Publishing Company.
2. Stewart J., Calculus, latest edition Brooks/COLE.
3. Ernets. F., Heaussler. Jr., Richard S. Paul., Introductory mathematical analysis for Business, Economics , Life and Social Sciences (Latest Edition).

Suggested Books:

1. Stewart J., Calculus, latest edition Brooks/COLE.
2. Ernets. F., Heaussler. Jr., Richard S. Paul., Introductory mathematical analysis for Business, Economics , Life and Social Sciences (Latest Edition).

PPT/Handouts

https://www.booksfree.org/calculus-7th-edition-by-james-stewart/

Assessment criteria

Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)

Mid-Term Exam:   30

Final-Term Exam: 50

### Key Dates and Time of Class Meeting

BBA VI (Regular)

Monday                                                                                  8:00 am-09:30 am

Tuesday                                                                                   11:00 am-12:30 am

Commencement of Classes                                                   January 13, 2020

Mid Term Examination                                                            March 09-13, 2020

Final Term Examination                                                          May 04-08, 2020

Declaration of Result                                                              May 19, 2020