Calculus I

MATH 101

Spring ‘25

 

 

Instructor: Adnan Khan [Office Hours: T 09:00 - 10:00, R 10:00-11:00]

 

Class Logistics

Lecture: M-W, 08:00 - 09:15 am

Recitations: TBA

SYLLABUS

LMS Mirror Site: lms.lums.edu.pk

Homework

http://delta.lums.edu.pk/webwork2

Past Exams

Midterm - 2013, 2014, 2015, 2016, 2018

Final       - 2012, 2013, 2014, 2016, 2022

   

Lectures

The books referred to in suggested readings are

JS:  James Stewart - Calculus

KR: Kleppner & Ramsey - Quick Calculus

GS: Gilbert Strang - Calculus

 

Lecture 1: Introduction - Why Study Calculus?

Class Notes

Lecture 16: Linear Approximation

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Lecture 2: Numbers, Sets and Functions

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Lecture 17: Inverse Functions and Derivatives

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Lecture 3: Functions and Limits

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Lecture 18: Inverse Trigonometric Functions

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Lecture 4: Informal Limits

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Lecture 19: Extrema I

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Lecture 5: Limits at Infinity

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Lecture 20: Extrema II

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Lecture 6: One Sided Limits, Squeeze Theorem

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Lecture 21: L’Hôpital’s Rule  

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Lecture 7: Continuity & Intermediate Value Theorem

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Lecture 22: Rolles and Mean Value Theorems

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Lecture 8: Introduction to Derivative

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Lecture 23: Antiderivatives

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Lecture 9: Derivative Rules I

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Lecture 24: Rieman Sums

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Lecture 10: Derivative Rules II

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Lecture 25: Fundamental Theorem of Calculus

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Lecture 11: Derivative Rules III

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Lecture 26: Integration by Parts

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Lecture 12: Chain Rule and Implicit Differentiation

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Lecture 27: Logarithmic & Exponential Functions  

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Lecture 13: Related Rates

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Lecture 28: Trigonometric Integrals

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Lecture 14: Tangent Lines

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Lecture 15: Midterm Review

 

 

Link to Tutorial Material*(New)

 

Interesting Links

1.       3Blue1Brown - A Graphical Introduction to Calculus

2.       Khan Academy Lectures on Calculus

3.       Wolframalpha!!

4.       Newton vs Leibnitz

 

 

Interesting Readings

1.       A Short History of Calculus

2.       Countability of Rationals and Uncountability of Reals

3.       An Interesting Limit

4.       Limit Applet- Heather Pierce

5.       Derivative Applet – Chip Rollinson

6.       Trigonometric Functions : Sum and Difference

7.       Four Interesting Applications of Differential Calculus* (New)