BSMA1001 · workspace

Mathematics I

Syllabus, study tools, lectures, and curriculum map.

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Weekly outline

Syllabus

Week topics from the course map

00W00

Topic

Incomplete

01W01

Set Theory - Number system, Sets and their operations, Relations and functions - Relations and their types, Functions and their types

Incomplete

02W02

Rectangular coordinate system, Straight Lines - Slope of a line, Parallel and perpendicular lines, Representations of a Line, General equations of a l

Incomplete

03W03

Quadratic Functions - Quadratic functions, Minima, maxima, vertex, and slope, Quadratic Equations

Incomplete

04W04

Algebra of Polynomials - Addition, subtraction, multiplication, and division, Algorithms, Graphs of Polynomials - X-intercepts, multiplicities, end be

Incomplete

05W05

Functions - Horizontal and vertical line tests, Exponential functions, Composite functions, Inverse functions

Incomplete

06W06

Logarithmic Functions - Properties, Graphs, Exponential equations, Logarithmic equations

Incomplete

07W07

Sequence and Limits - Function of One variable - • Function of one variable • Graphs and Tangents • Limits for sequences • Limits for function of one

Incomplete

08W08

Derivatives, Tangents and Critical points - • Differentiability and the derivative • Computing derivatives and L’Hˆopital’s rule • Derivatives, tangen

Incomplete

09W09

Integral of a function of one variable - • Computing areas, Computing areas under a curve, The integral of a function of one variable • Derivatives an

Incomplete

010W10

Graph Theory - Representation of graphs, Breadth-first search, Depth-first search, Applications of BFS and DFS; Directed Acyclic Graphs - Complexity o

Incomplete

011W11

Longest path, Transitive closure, Matrix multiplication Graph theory Algorithms - Single-source shortest paths, Dijkstra's algorithm, Bellman-Ford alg

Incomplete

012W12

Revision

Incomplete

Study tools

Memorize first

Compact recall strip

Open notes

4 min

DAGs and Topological Sorting

Open this first for the core logic and traps.

Dive in

4 min

Graph Traversal — BFS and DFS

Open this first for the core logic and traps.

Dive in

5 min

Continuity

Open this first for the core logic and traps.

Dive in

Practice Dock

One drill at a time, with Theo hints, teacher lanes, and a replay queue.

Use this when the theory is already clear and the goal is fast, clean retrieval under pressure. Mark weak questions, copy a revision pack, and move on.

TheoTeacherTextbookSpeedrun

Ask less. Recall more.

Open Practice Dock

SM-2 Active

Spaced Repetition

Flashcards

Spaced repetition engine for long-term retention of core concepts.

Start session

Not Available

Interactive Simulations

Visual Labs

Exam Mode

Adaptive Practice

Mock Exam

Set paper

Code Protocol

OPPE Simulator

Secure Comm-Link Terminal

Secure Comm-Link // @IITMadrasBSDegreeProgramme

Uplink 12ms

Syllabus Synchronization: Active

Open current cue

Syllabus Matrix Registry

Global Course Index

Open Full Frame

Master Registry

v6.4 Directory

Foundational

Diploma

BSc Degree

BS Degree

PG / MTech

BSMA1001

Foundational

4 Credits

Mathematics for Data Science I

This course introduces functions (straight lines, polynomials, exponentials and logarithms) and discrete mathematics (basics, graphs) with many exa...

Deployment Hub External Docs

Execution Protocol

Module 0

Topic

Module 1

Set Theory - Number system, Sets and their operations, Relations and functions - Relations and their types, Functions and their types

Module 2

Rectangular coordinate system, Straight Lines - Slope of a line, Parallel and perpendicular lines, Representations of a Line, General equations of a l

Module 3

Quadratic Functions - Quadratic functions, Minima, maxima, vertex, and slope, Quadratic Equations

Module 4

Algebra of Polynomials - Addition, subtraction, multiplication, and division, Algorithms, Graphs of Polynomials - X-intercepts, multiplicities, end be

Module 5

Functions - Horizontal and vertical line tests, Exponential functions, Composite functions, Inverse functions

Module 6

Logarithmic Functions - Properties, Graphs, Exponential equations, Logarithmic equations

Module 7

Sequence and Limits - Function of One variable - • Function of one variable • Graphs and Tangents • Limits for sequences • Limits for function of one

Module 8

Derivatives, Tangents and Critical points - • Differentiability and the derivative • Computing derivatives and L’Hˆopital’s rule • Derivatives, tangen

Module 9

Integral of a function of one variable - • Computing areas, Computing areas under a curve, The integral of a function of one variable • Derivatives an

Module 10

Graph Theory - Representation of graphs, Breadth-first search, Depth-first search, Applications of BFS and DFS; Directed Acyclic Graphs - Complexity o

Module 11

Longest path, Transitive closure, Matrix multiplication Graph theory Algorithms - Single-source shortest paths, Dijkstra's algorithm, Bellman-Ford alg

Module 12

Syllabus

Topic

Set Theory - Number system, Sets and their operations, Relations and functions - Relations and their types, Functions and their types

Rectangular coordinate system, Straight Lines - Slope of a line, Parallel and perpendicular lines, Representations of a Line, General equations of a l

Quadratic Functions - Quadratic functions, Minima, maxima, vertex, and slope, Quadratic Equations

Algebra of Polynomials - Addition, subtraction, multiplication, and division, Algorithms, Graphs of Polynomials - X-intercepts, multiplicities, end be

Functions - Horizontal and vertical line tests, Exponential functions, Composite functions, Inverse functions

Logarithmic Functions - Properties, Graphs, Exponential equations, Logarithmic equations

Sequence and Limits - Function of One variable - • Function of one variable • Graphs and Tangents • Limits for sequences • Limits for function of one

Derivatives, Tangents and Critical points - • Differentiability and the derivative • Computing derivatives and L’Hˆopital’s rule • Derivatives, tangen

Integral of a function of one variable - • Computing areas, Computing areas under a curve, The integral of a function of one variable • Derivatives an

Graph Theory - Representation of graphs, Breadth-first search, Depth-first search, Applications of BFS and DFS; Directed Acyclic Graphs - Complexity o

Longest path, Transitive closure, Matrix multiplication Graph theory Algorithms - Single-source shortest paths, Dijkstra's algorithm, Bellman-Ford alg

Revision

Compact recall strip

One drill at a time, with Theo hints, teacher lanes, and a replay queue.

Flashcards

Visual Labs

Mock Exam

OPPE Simulator

Secure Comm-Link Terminal

Syllabus Matrix Registry

Master Registry

Foundational

Diploma

BSc Degree

BS Degree

PG / MTech

Mathematics for Data Science I

Execution Protocol

Topic

Set Theory - Number system, Sets and their operations, Relations and functions - Relations and their types, Functions and their types

Rectangular coordinate system, Straight Lines - Slope of a line, Parallel and perpendicular lines, Representations of a Line, General equations of a l

Quadratic Functions - Quadratic functions, Minima, maxima, vertex, and slope, Quadratic Equations

Algebra of Polynomials - Addition, subtraction, multiplication, and division, Algorithms, Graphs of Polynomials - X-intercepts, multiplicities, end be

Functions - Horizontal and vertical line tests, Exponential functions, Composite functions, Inverse functions

Logarithmic Functions - Properties, Graphs, Exponential equations, Logarithmic equations

Sequence and Limits - Function of One variable - • Function of one variable • Graphs and Tangents • Limits for sequences • Limits for function of one

Derivatives, Tangents and Critical points - • Differentiability and the derivative • Computing derivatives and L’Hˆopital’s rule • Derivatives, tangen

Integral of a function of one variable - • Computing areas, Computing areas under a curve, The integral of a function of one variable • Derivatives an

Graph Theory - Representation of graphs, Breadth-first search, Depth-first search, Applications of BFS and DFS; Directed Acyclic Graphs - Complexity o

Longest path, Transitive closure, Matrix multiplication Graph theory Algorithms - Single-source shortest paths, Dijkstra's algorithm, Bellman-Ford alg

Revision

Video Archive

Intelligence Hub