Calculus I: MATH 101

Summer ‘22

 

 

Instructor: Adnan Khan [Office Hours: MF 1:00 - 2:00]

 

Class Logistics

Lecture: M,T,W,R,F 3:00-5:00 pm

Recitations: TBA

SYLLABUS

 

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

Books referred to in suggested readings are

JS: James Stewart - Calculus

GS: Gilbert Strang - Calculus

Lecture 1: Introduction - Class Logistics & Pre-Cal Review

Lecture 10: Differentials and Related Rates

Video Lecture

Lecture 2: Pre-Cal Review & Introduction to Limits

Video Lecture

 

Lecture 11: Midterm Exam

 

Lecture 3: Informal Limits

Video Lecture

Lecture 12: Inverse Trigonometric Functions and their derivatives

Video Lecture

Lecture 4: One Sided Limits & Continuity

Video Lecture

Lecture 13: Extreme Values and L'Hospital's Rule

Video Lecture

Lecture 5: Formal Limits

Video Lecture

Lecture 14: Mean Value Theorem and Indefinite Integrals

Video Lecture

Lecture 6: Rate of Change and the Derivative

Video Lecture

Lecture 15: Area Under the Curve and Riemann Sum

Video Lecture

Lecture 7: Rules of Differentiation

Video Lecture

Lecture 16: Logarithmic and Exponential Functions

Video Lecture

Lecture 8: Derivatives of Trig Functions

Video Lecture

Lecture 17: Integration by Parts

Video Lecture

Lecture 9: Implicit Differentiation & Linear Approximation

Video Lecture

Lecture 18: Trigonometric Integrals and Trig, Substitution

Video Lecture - Part 1

Video Lecture - Part II

 

Interesting Links

1.       3Blue1Brown - A Graphical Introduction to Calculus

2.       Khan Academy Lectures on Calculus

3.       Wolframalpha!!

 

 

Interesting Readings

1.       A Short History of Calculus

2.       Countability of Rationals and Uncountability of Reals

3.       An Interesting Limit

4.       Trigonometric Functions : Sum and Difference