Advanced
math
4.9(187)
Advanced Mathematics: Calculus & Analysis
Master differential and integral calculus, real analysis, and multivariable functions through structured, concept-first teaching.
42 lectures18 notes30h
524 students enrolled
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Dr. Arjun Mehta
Senior Lecturer & Academic Mentor
Ph.D.
IIT Bombay
Meet Your Instructor
Dr. Arjun Mehta
Senior Lecturer & Academic Mentor · IIT Bombay
Senior Lecturer at IIT Bombay with 15+ years of experience in Mathematics and Computer Science. Published researcher, award-winning educator, and mentor to thousands of students.
Ph.D., IIT Bombay
Computer Science & Algorithms
15+ Years Teaching
Undergraduate & Postgraduate
Best Teacher Award
IIT Bombay, 3 consecutive years
3,200+ Students
Mentored & guided
Areas of Expertise
Advanced MathematicsAlgorithms & Data StructuresLinear AlgebraCalculusDiscrete MathematicsComputer Science Fundamentals
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Rigorous, well-structured courses across core academic disciplines — built to develop deep understanding from foundations up.
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Build deep expertise in algorithms and data structures — from arrays and linked lists to graphs and dynamic programming.
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Linear Algebra: Vectors, Matrices & Transformations
Develop a strong intuitive and rigorous understanding of linear algebra — the mathematical language of machine learning and engineering.
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Latest Lectures
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New lectures added regularly across all subjects and difficulty levels.
View all lectures1h 12m
Computer ScienceData Structures & Algorithms
Dynamic Programming: Memoisation and the Fibonacci Problem
Develop a thorough understanding of dynamic programming starting from the classic Fibonacci problem. We build intuition for identifying optimal substructure and overlapping subproblems.
2,341 viewsJul 15, 2024
54m
PhysicsClassical Mechanics & Newton's Laws
Kinematics in One Dimension: Position, Velocity, and Acceleration
A rigorous introduction to one-dimensional kinematics using calculus. We derive the equations of motion from first principles and apply them to a variety of problems.
1,102 viewsApr 10, 2024
47m
MathematicsLinear Algebra: Vectors, Matrices & Transformations
Vectors in R^n: Operations and Geometric Interpretation
We introduce vectors in n-dimensional space, covering addition, scalar multiplication, dot product, and their geometric meanings including angles and projections.
1,284 viewsMar 5, 2024
1h 3m
Computer ScienceData Structures & Algorithms
Linked Lists: Singly, Doubly, and Circular
A complete treatment of linked list data structures — implementation, traversal, reversal, and detecting cycles. Includes Floyd's cycle detection algorithm.
1,876 viewsFeb 22, 2024
Study Resources
Notes & Study Materials
Lecture notes, revision guides, question banks, and previous year papers — all curated and ready to download.
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Study Guide2.4 MB
Dynamic Programming — Pattern Recognition Guide
Data Structures & Algorithms
934Jul 20, 2024
📄
Previous Year Papers8.4 MB
Calculus — Previous Year Exam Papers (2019–2024)
Advanced Mathematics: Calculus & Analysis
1,087Jul 1, 2024
📄
Lecture Notes3.7 MB
Graph Theory — Complete Notes with Proofs
Discrete Mathematics for Computer Science
489Jun 15, 2024
📄
Study Guide1.8 MB
Probability Distributions — Reference Card
Probability & Statistics for Engineers
641May 10, 2024
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Real feedback from students who have completed courses on AcadPro.
“Dr. Mehta's approach to calculus is unlike any I've experienced before. He breaks down epsilon-delta proofs in a way that finally made them click for me. I went from dreading analysis to genuinely enjoying it. The lecture notes alone are worth every moment.”
5.0
PS
Priya Sharma
Advanced Mathematics: Calculus & Analysis
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View all announcementsImportant: Platform Maintenance on 8th September
MediumThe platform will undergo scheduled maintenance on Sunday, 8th September 2024 between 02:00 and 06:00 IST. During this window, the platform will be unavailable. Please plan your study sessions accordingly. All progress and data will be preserved. Thank you for your understanding.
Sep 3, 2024·General
DSA Assignment 3 — Dynamic Programming Problems Due
HighAssignment 3 for the Data Structures & Algorithms course is now live. This assignment covers dynamic programming and includes 8 problems of varying difficulty. The submission deadline is 15th September 2024. Please read the instructions carefully — solutions must include both the approach explanation and the code implementation. Partial credit will be given for correct approaches even if the implementation has minor errors.
Sep 1, 2024·Assignment
End-of-Semester Calculus Exam — Preparation Resources
UrgentThe end-of-semester Advanced Calculus exam is scheduled for 20th September 2024. I have uploaded a comprehensive revision package including previous year papers (2019–2024) with full solutions, a formula reference sheet, and a practice quiz covering all major topics. I strongly recommend completing the revision quiz at least one week before the exam to identify any areas requiring further attention.
Aug 25, 2024·Exam
New Lecture Series: Graph Algorithms in Depth
MediumI have just completed uploading a new set of 6 lectures covering graph algorithms in depth — including Dijkstra's algorithm with proof of correctness, Bellman-Ford, Floyd-Warshall, Kruskal's and Prim's MST algorithms. These lectures are part of the Data Structures & Algorithms course but are also accessible to anyone interested in graph theory.
Aug 15, 2024·New Content