TABFlux

Home Courses Universities Programs Forum

© 2026 TABFlux. All rights reserved. Built for students, by students.

Forum Privacy Policy Terms of Service Contact Us Contributors

Mathematics I

This course provides the "logical" foundation for "instructional materials" by covering calculus of one variable, including limits, differentiation, and integration. It focuses on the "technical clarity" needed to formulate real-world problems into mathematical statements and demonstrate solutions numerically or graphically.

Select University

Select Program

TabFlux . Mathematics I . PoU . BCSIT

Mathematics I

0%

Course Title: Mathematics I

Course No: MTH113

Nature of the Course: THEORY

Semester: 1

Full Marks: 50 + 50

Pass Marks: 23 + 23

Credit Hours: 3

Course Description

Course Objectives

Course Contents

1. Basic Concept

9 hrs

1.1. Elementary Logic

1.2. Connectives, Quantifiers

1.3. Basic laws of logic

1.4. Quantifiers

1.5. Techniques of proof

1.6. Sets, Types of sets, Venn diagram

1.7. Set operations, Laws of the algebra of sets (without proof)

1.8. Real number system, Representation of real numbers on the Real line

1.9. Properties of real numbers (without proof), ordered sets, Inequalities

1.10. Intervals, Absolute value, Cartesian product, Relation

2. Functions, Limit, and Continuity

8 hrs

2.1. Constants and variables, Concept of functions

2.2. Domain, and range of a function, Types of functions (algebraic, logarithmic, Trigonometric, and exponential functions)

2.3. Graphic representation

2.4. Application of functions to business and economics

2.5. Limit of a function, properties of Limit, Indeterminate Forms

2.6. Limits of Polynomial and Rational Functions, Limits at infinity

2.7. Continuity, Continuity at a Point

2.8. Business Application of Limit

6 hrs

3.1. Derivative

3.2. Average rate of change

3.3. Derivative as a slope of the tangent to curves

3.4. Methods of differentiation (power rule, sum rule, product rule, quotient rule and chain rule)

3.5. Differentiation of implicit and parametric functions

3.6. Derivative as a rate of change. Higher order derivatives.

4. Application of Derivatives

6 hrs

4.1. Increasing and decreasing functions

4.2. Critical point, Point of inflection

4.3. Maximum and minimum value of the function

4.4. Marginal analysis in Business and Economics

4.5. Concavity of the function, Marginal Profit Analysis

4.6. The mean value theorem, Optimization problem

6 hrs

5.1. Indefinite Integral (algebraic, exponential, logarithmic, and trigonometric functions)

5.2. Techniques of Integration (Integration by simplification, Substitution method, Integration by parts)

5.3. Definite integral

5.4. Properties of the definite integral

6. Matrices and Determinants

7 hrs

6.1. Introduction

6.2. Types of matrices

6.3. Matrix operations

6.4. Transpose of a matrix, Determinant of a matrix, Minors, and cofactors of the matrix

6.5. Properties of determinants (Singular and non-singular matrix)

6.6. Solution of a system of linear equations having a unique solution of up to three variables (Cramer's rule)

7. Permutations and Combinations

6 hrs

7.1. Basic principles of counting, factorial notation

7.2. Permutation, Permutation of objects alike

7.3. Permutation with restrictions, Circular permutation

7.4. Combination, and Combination with restrictions

Text Books

1.Budnick, F. (2017). Applied Mathematics for Business, Economics and the Social Sciences (4 ed.). McGraw-Hill Higher Education.
2.Pahari, N. P., & Shrestha, R. M. (2013). Fundamentals Of Mathematical Analysis (1 ed.). Sukunda Pustak Bhawan.

Reference Books

1.Thomas, G. B., & Finney, R. L. (1995). Calculus and Analytic Geometry (9 ed.). Addison Wesley.

Source:

This course covers basic logic, set theory, the real number system, functions and graphs, limit and continuity, derivatives and their applications, integration, matrices and determinants, and permutations and combinations.

To acquaint the students with fundamental mathematical concepts with a focus on how they apply to business, economics, and information technology. To develop skills among the students that they need to effectively apply mathematical techniques to real-world problems.