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A foundational mathematics course covering limits, continuity, differentiation, integration and their applications.

Academic Year
Semester
Credit Hours
Course Code

Course Description

Calculus-I introduces students to the fundamental concepts of differential and integral calculus. The course develops mathematical reasoning and provides a foundation for applications in science, engineering, computing and data-driven fields.

Topics include limits, continuity, differentiation, applications of derivatives, integration and applications of integrals.

Course Learning Outcomes

01

Understand fundamental concepts of limits and continuity.

02

Apply differentiation techniques to mathematical problems.

03

Solve integration problems and interpret their applications.

04

Develop mathematical reasoning for scientific and computational problems.

Faculty

Muhammad Sohail Akhtar
>

M.Sohail Akhtar

PhD Scholar in AI & Autonomous Systems

NUST School of Electrical Engineering & Computer Science (SEECS)

Course Outline

PDF

Course Outline

Official course outline and syllabus.

View PDF

Lecture Notes

01

Lecture 01 — Introduction

Introduction to calculus and mathematical functions.

PDF
02

Lecture 02 — Limits

Introduction to limits and their properties.

PDF
03

Lecture 03 — Continuity

Continuity of functions and related concepts.

PDF

Assignments

A1

Assignment 01

Basic calculus practice problems.

PDF
A2

Assignment 02

Limits and continuity practice problems.

PDF

Quizzes

Q1

Quiz 01

Introductory calculus assessment.

PDF

Past Papers

MT

Midterm Examination

Previous midterm examination paper.

PDF
FN

Final Examination

Previous final examination paper.

PDF

Additional Resources

R1

Reference Material

Supplementary mathematical learning material.

PDF

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