Application for the next batch of the Degree Program is open now.

Application for the next batch of the Degree Program is open now.

Foundational Level Course

Mathematics for Data Science I

This course introduces functions (straight lines, polynomials, exponentials and logarithms) and discrete mathematics (basics, graphs) with many examples. The students will be exposed to the idea of using abstract mathematical structures to represent concrete real life situations.  Course ID: BSCMA1001

Course Credits: 4

Course Type: Foundational

Prerequisites: None

What you’ll learn

Recall the basics of sets, natural numbers, integers, rational numbers, and real numbers.
Learn to use the coordinate system, and plot straight lines.
Identify the properties and differences between linear, quadratic, polynomial, exponential, and logarithmic functions.
Find roots, maxima and minima of polynomials using algorithmic methods.
Learn to represent sets and relations between set elements as discrete graphs using nodes and edges.
Formulate some common real-life problems on graphs and solve them.

Course structure & Assessments

12 weeks of coursework, weekly online assignments, 3 in-person invigilated quizzes, 1 in-person invigilated end term exam. For details of standard course structure and assessments, visit Academics page.

 WEEK 1 - Click Here Set Theory - Number system, Sets and their operations, Relations and functions - Relations and their types, Functions and their types WEEK 2 Rectangular coordinate system, Straight Lines - Slope of a line, Parallel and perpendicular lines, Representations of a Line, General equations of a line, Straight-line fit WEEK 3 Quadratic Functions - Quadratic functions, Minima, maxima, vertex, and slope, Quadratic Equations WEEK 4 Algebra of Polynomials - Addition, subtraction, multiplication, and division, Algorithms, Graphs of Polynomials - X-intercepts, multiplicities, end behavior, and turning points, Graphing & polynomial creation WEEK 5 Functions - Horizontal and vertical line tests, Exponential functions, Composite functions, Inverse functions WEEK 6 Logarithmic Functions - Properties, Graphs, Exponential equations, Logarithmic equations WEEK 7 Sequence and Limits - Function of One variable - • Function of one variable • Graphs and Tangents • Limits for sequences • Limits for function of one variable • Limits and Continuity WEEK 8 Derivatives, Tangents and Critical points - • Differentiability and the derivative • Computing derivatives and L’Hˆopital’s rule • Derivatives, tangents and linear approximation • Critical points: local maxima and minima WEEK 9 Integral of a function of one variable - • Computing areas, Computing areas under a curve, The integral of a function of one variable • Derivatives and integrals for functions of one variable WEEK 10 Graph Theory - Representation of graphs, Breadth-first search, Depth-first search, Applications of BFS and DFS; Directed Acyclic Graphs - Complexity of BFS and DFS, Topological sorting WEEK 11 Longest path, Transitive closure, Matrix multiplication Graph theory Algorithms - Single-source shortest paths, Dijkstra's algorithm, Bellman-Ford algorithm, All-pairs shortest paths, Floyd–Warshall algorithm, Minimum cost spanning trees, Prim's algorithm, Kruskal's algorithm WEEK 12 Revision

Prescribed Books

The following are the suggested books for the course:

Introductory Algebra: a real-world approach (4th Edition) - by Ignacio Bello Associate Professor, Department of Mathematics, IIT Madras

Experienced Associate Professor with a demonstrated history of working in the higher education industry. Skilled in Mathematical Modeling, R, Stochastic Modeling, and Statistical Modeling. Strong education professional with a Doctor of Philosophy (Ph.D.) focused in Mathematical Statistics and Probability from Indian Institute of Technology, Bombay. 