Calculus I- Summer 2025 | Dipendranath Mahato

Dipendranath Mahato

IN JOB MARKET

Dipendranath Mahato

Ph.D. Candidate in Mathematics

Tulane University
Department of Mathematics

Research Areas

Commutative Algebra Algebraic Geometry Combinatorial Algebra

Tulane University

Summer 2025- Online

Instructor

Dipendranath Mahato

Ph.D. Candidate in Mathematics

dmahato@tulane.edu
Office Hours: Zoom
Monday 7:00-8:00pm.

Teaching Assistants

Nathaniel T. Vaduthala

Ph.D. Candidate in Mathematics

nvaduthala@tulane.edu
Office Hours: Zoom
Tuesday 3:00-4:00pm.
Thursday 3:00-4:00pm.

Summer 2025 - Calculus I : Course Schedule

Day-by-day outline with quick links to class notes.

Day 1 Module 1 begins

Tue • 05/27

—

Introduction

Calculus I

Tue • 05/27

—

1.1 Review of Functions

Calculus I

Day 2 Modules 1

Wed • 05/28

—

1.2 Basic Classes of Functions

Calculus I

Wed • 05/28

—

1.3 Trigonometric Functions

Calculus I

Day 3 Modules 2

Thu • 05/29

—

1.4 Inverse Functions

Calculus I

Thu • 05/29

—

1.5 Exponential and Logarithmic Functions

Calculus I

Day 4 Modules 2-3

Fri • 05/30

—

2.1 A Preview of Calculus

Calculus I

Fri • 05/30

—

2.2 The Limit of a Function

Calculus I

Day 5 Modules 3

Mon • 06/02

—

2.3 The Limit Laws

Calculus I

Mon • 06/02

—

2.4 Continuity

Calculus I

Day 6 Modules 4

Tue • 06/03

—

3.1 Defining the Derivative

Calculus I

Tue • 06/03

—

3.2 The Derivative as a Function

Calculus I

Day 7 Modules 4

Wed • 06/04

—

3.3 Differentiation Rules

Calculus I

Wed • 06/04

—

Midterm 1 Review

Calculus I

Day 8 Midterm 1

Thu • 06/05

—

Midterm 1 (Modules 1,2,3)

Assessment

Day 9 Modules 5

Fri • 06/06

—

3.5 Derivatives of Trigonometric Functions

Calculus I

Fri • 06/06

—

3.6 The Chain Rule

Calculus I

Day 10 Modules 5

Mon • 06/09

—

3.7 The Chain Rule (Cont.)

Calculus I

Mon • 06/09

—

3.8 Derivatives of Exp and Log Functions

Calculus I

Day 11 Modules 6

Tue • 06/10

—

3.9 Derivatives as Rates of Change

Calculus I

Tue • 06/10

—

4.2 Linear Approximations and Differentials

Calculus I

Day 12 Modules 7

Wed • 06/11

—

4.3 Maxima and Minima

Calculus I

Wed • 06/11

—

4.5 Derivatives and the Shape of a Graph

Calculus I

Day 13 Modules 7-8

Thu • 06/12

—

4.7 Applied Optimization Problems

Calculus I

Thu • 06/12

—

4.6 Limits at Infinity and Asymptotes

Calculus I

Day 14 Modules 8

Fri • 06/13

—

4.8 L’Hôpital’s Rule

Calculus I

Fri • 06/13

—

4.10 Antiderivatives

Calculus I

Day 15 Modules 9

Mon • 06/16

—

5.1 Approximating Areas

Calculus I

Mon • 06/16

—

5.2 The Definite Integral

Calculus I

Day 16 Modules 9

Tue • 06/17

—

5.3 The Fundamental Theorem of Calculus

Calculus I

Tue • 06/17

—

Midterm 2 Review

Calculus I

Day 17 Midterm 2

Wed • 06/18

—

Midterm 2 (Modules 4,5,6,7,8)

Assessment

Day 18 Modules 9-10

Thu • 06/19

—

5.3 The Fundamental Theorem of Calculus (Cont.)

Calculus I

Thu • 06/19

—

5.4 Integration Formulas & Net Change Theorem

Calculus I

Day 19 Modules 10

Fri • 06/20

—

5.5 Substitution

Calculus I

Fri • 06/20

—

5.6 Integrals Involving Exp and Log Functions

Calculus I

Day 20 Modules 10

Mon • 06/23

—

5.7 Integrals Resulting in Inverse Trig Functions

Calculus I

Mon • 06/23

—

6.1 Areas between Curves

Calculus I

Day 21 Modules 10

Tue • 06/24

—

6.5 Physical Applications

Calculus I

Day 22 Modules 10

Wed • 06/25

—

Final Exam Review

Calculus I

Day 23 Final Exam

Tue • 06/20

—

Final Exam (Cumulative)

Assessment