Mathematics for Data Science 1
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What you'll learn
This course includes
- 48 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 185 lessons • 48 hours of video
Mathematics for Data Science 1
185 lessons
• 47.5 hours
Mathematics for Data Science 1
185 lessons
• 47.5 hours
- W1_L0: Mathematics for Data Science 1 | introduction to the course basics 03:24
- W1_L1: Natural numbers & their operations - fundamentals for data science 19:42
- W1_L2: Rational numbers - fractions & their properties explained 12:17
- W1_L3: Real & complex numbers - understanding rational & irrational numbers 08:55
- W1_L4: Set theory - introduction to sets & their operations 24:21
- W1_L5: Construction of subsets & set operations - set comprehension &intervals explained 19:06
- W1_L5A: Sets examples - membership subsets & set comprehension with practice 14:32
- W1_L5B: Examples of set operations & counting problems - venn diagrams & applications 08:51
- W1_L6: Relations - cartesian products equivalence & partitioning sets 20:59
- W1_L7: Functions - domain codomain range & properties of mappings 20:07
- W1_L7A: Relations examples - cartesian products tables & join operations 20:27
- W1_L7B: Function examples - domains ranges & growth of functions 07:00
- W1_L8: Prime numbers - euclids proof infinitude & applications in cryptography 09:07
- W1_L9: Why is a number irrational - proof of sqrt2 & the story of hippasus 07:03
- W1_L10: Sets versus collections - russells paradox & mathematical foundations 07:05
- W1_L11: Degrees of infinity - countable & uncountable sets explained 19:01
- W2_L12: Rectangular coordinate system - axes points lines & quadrants 12:43
- W2_L13:Distance formula - calculating distance between two points in coordinate geometry 11:41
- W2_L14: Section formula - dividing a line segment in a given ratio 07:19
- W2_L15: Area of a triangle - formula derivation using coordinates 08:28
- W2_L16: Slope of a line - rise over run & angle of inclination 12:29
- W2_L17: Parallel & perpendicular lines - slope conditions & angle of intersection 16:33
- W2_L18: Representation of a line 1 - point slope & two point forms explained 22:29
- W2_L19: Representation of a line 2 - slope intercept & intercept forms 10:35
- Lec 19A - Rectangular Co-ordinate system and its elementary applications 38:57
- W2_T1: Tutorial 1 10:52
- W2_T2: Tutorial 2 07:37
- W2_T3: Tutorial 3 06:08
- W2_T4: Tutorial 4 06:20
- W2_T5: Tutorial 5 04:08
- Week 02 - Tutorial 06 06:31
- W2_T7: Tutorial 7 06:45
- W2_T9: Tutorial 9 05:00
- W2_L20: General equation of a line - forms conversions & geometric properties 19:09
- W2_L21: Equation of parallel & perpendicular lines in general form 05:22
- W2_L22: Equation of a perpendicular line through a point using slope conditions 03:12
- W2_L23: Distance of a point from a line - perpendicular distance & parallel lines 16:47
- W2_L24: Straight line fit - vertical distance sum of squared errors & regression 18:11
- Lec 25 - Review of Straight line and slope 01:14:34
- W3_T9: Tutorial 9 - point of intersection of two lines 18:08
- W3_T1: Tutorial 1 12:17
- W3_T2: Tutorial 2 13:34
- W3_T3: Tutorial 3 03:43
- W3_T4: Tutorial 4 05:13
- W3_T5: Tutorial 5 04:29
- W3_T6: Tutorial 6 04:23
- W3_T7: Tutorial 7 06:49
- W3_T8: Tutorial 8 07:12
- W4_L1A: Quadratic functions - graphs vertex & parabolas 22:01
- W4_L1B :Examples of quadratic functions 10:37
- W4_L1C: Slope of a quadratic function 12:39
- W4_L2: Solution of a quadratic equation using graph 14:02
- W4_L2A: Slope line & parabola 22:34
- W4_T1: Tutorial 1 05:08
- W4_T2: Tutorial 2 02:37
- W4_T3: Tutorial 3 05:59
- W4_T4: Tutorial 4 04:35
- W4_T5: Tutorial 5 03:40
- W4_T6: Tutorial 6 10:16
- W4_T7: Tutorial 7 03:54
- W4_T8: Tutorial 8 07:58
- W3_Part B: Surface of revolution | cone formation by rotating a line 02:46
- W3_L2B: Summary lecture 13:45
- W3_L3A: Solution of a quadratic equation using factorization 20:05
- W3_L3B: Solution of a quadratic equation using square method 08:00
- W3_L4: Quadratic formula | completing the square, discriminant & nature of roots 17:47
- W5_T1: Tutorial 1 02:46
- W5_T2: Tutorial 2 05:30
- W5_T3: Tutorial 3 04:29
- W5_T4: Tutorial 4 04:36
- W5_T5: Tutorial 5 03:58
- W5_T6: Tutorial 6 04:55
- W5_T7: Tutorial 7 03:47
- W3_Part A: Additional lecture | standard form & vertex form of parabola 11:11
- W3_L4A: Summary 19:42
- W4_L1: Introduction to polynomials definition & types 16:58
- W4_L2: Degree of polynomials definition examples & special cases 10:46
- W4_L3: Algebra of polynomials addition & subtraction explained with examples 23:30
- W4_L4: Algebra of polynomials multiplication methods & examples 21:44
- W4_L5: Algebra of polynomials division with remainders explained 20:49
- W4_L6: Polynomial division algorithm with long division explained 10:05
- W6_T1: Tutorial 1 02:52
- W6_T2: Tutorial 2 04:05
- W6_T3: Tutorial 3 04:57
- W6_T4: Tutorial 4 02:29
- W6_T5: Tutorial 5 02:04
- W6_T6: Tutorial 6 02:36
- W6_T7: Tutorial 7 07:29
- W6_T8: Tutorial 8 04:28
- Additional Lecture supplementary concepts in mathematics for data science 11:09
- W6: Weekly summary: polynomial definitions & algebra operations 25:26
- Week 06 Practice Assignment Solution 24:16
- Mathematics for Data Science I 38:16
- W4_L7: Graphs of polynomials identification & characterization explained 10:14
- Lec 4.8 - Zeroes of Polynomial Functions 16:35
- Lec 4.9 - Graphs of Polynomials: Multiplicities 17:15
- W4_L8: Graphs of polynomials behavior at x intercepts & multiplicities 15:30
- W4_L9: Graphs of polynomials end behavior leading term & degree explained 11:24
- W4_L10: Graphs of polynomials turning points & relation to degree 12:25
- W4_L11: Graphs of polynomials graphing methods & polynomial creation 19:47
- W7_T1: Tutorial 1 04:52
- W7_T2: Tutorial 2 08:53
- W7_T3: Tutorial 3 04:30
- W7_T4: Tutorial 4 04:12
- W7_T5: Tutorial 5 02:48
- W7_T6: Tutorial 6 04:26
- W7_T7: Tutorial 7 01:40
- W7_T8: Tutorial 8 05:07
- W7_T9: Tutorial 9 04:01
- W7: Summary: polynomial graphs & real-world applications 30:34
- Week 07 - Practice Assignment Solution 48:20
- W5_L1: One-to-one function definition, tests & exponential basics 19:21
- W5_L2: One-to-one function examples, cubic cases & theorems 12:27
- W5_L3: Exponential functions definition & properties 13:42
- W5_L4: Exponential functions graphing with examples & analysis 19:43
- W5_L5: Natural exponential function definition properties & applications 24:56
- W5_L6: Composite functions definition domain & real world examples 18:20
- W5_L7: Composite functions step by step examples & practice 06:04
- W5_L8: Composite functions finding the domain with examples 12:53
- W5_L9: Inverse functions definition & graphical symmetry 26:20
- W8_T1: Graphing basic functions & their properties 10:31
- W8_T2: Graphing quadratic functions using roots & vertex 03:35
- W8_T3: Graphing cubic polynomial functions in intercept form 02:56
- W8_T4: Range of square root functions with restricted domain 07:45
- W8_T5: Range of square root functions with restricted domain 03:52
- W8_T6: Domain of composite functions with examples 18:49
- W8_T7: Optimization with birthday & sunday discount problem 12:48
- W8_T8: Compound interest & inverse function in financial math 05:21
- W8: Additional lecture: inverse functions finding & verifying with examples 11:32
- Week 08 - PRACTICE ASSIGNMENT SOLUTION 51:19
- W6_L1: Logarithmic functions & inverse of exponential functions 25:10
- W6_L2: Graphs & properties of logarithmic functions 17:24
- W6_L3: Solving exponential equations with logarithms 17:56
- W6_L4: Logarithmic functions – properties & fundamental laws 19:02
- W6_L5: Logarithmic functions – applications of log laws 09:17
- W6_L6: Logarithmic functions – change of base theorem 14:22
- W6_L7: Logarithmic equations – solving & applications 30:44
- W9_T1: Solving logarithmic equations with multiple bases 06:13
- W9_T2: Solving logarithmic equation with integer solutions 06:43
- W9_T3: Activation energy estimation using sum of squared errors & arrhenius equation 07:52
- W9_T4: Categorizing points using sigmoidal function (G1 & G2 classification) 08:31
- W9_T5: Solving logarithmic function intersection problem 05:42
- W9_T6: Solving logarithmic equations with exponents & substitution 03:46
- Week 9 - Practice Assignment Solution 42:25
- W10_L1: Introduction to graphs – vertices, edges & connectivity 18:47
- W10_L2: Some general graph problems 22:48
- W10_L3: Representation of graphs 23:27
- W10_L4: Breadth-first search 22:53
- W10_L5: Depth-first search (DFS) 13:45
- W10_L6: Applications of BFS & DFS | part 1 22:52
- W10_L7: Applications of BFS & DFS | part 2 16:58
- W10 - Tutorial 1 14:15
- W10 - Tutorial 2 07:59
- W10 - Tutorial 3 03:31
- W10_L8: Complexity of BFS & DFS 17:42
- Lec 10.9 - Directed Acyclic Graphs 11:34
- W10_L9: Topological sorting 20:11
- W11_L1: Longest paths in DAGs – task scheduling & dependencies 16:51
- W11_L2: Transitive closure | reachability in graphs 20:45
- W11_L3: Matrix multiplication | graphs, boolean algebra & transitive closure 27:44
- W11_L4: Shortest paths in weighted graphs | single source & all pairs 13:39
- W11_L5: Single source shortest paths | dijkstra’s algorithm 18:53
- W11_L6: Single source shortest paths with negative weights | bellman-ford algorithm 21:03
- W11_L7: All-pairs shortest paths | floyd-warshall algorithm 20:11
- W11_L8: Minimum cost spanning trees | prim’s & kruskal’s algorithms 13:02
- W11_L9: Minimum cost spanning trees | prim’s algorithm 16:26
- W11_L10: Minimum cost spanning trees | kruskal’s algorithm 12:32
- W8: PA Solution 24:23
- W9: PA Solution 41:49
- Mathematics for Data Science I 38:25
- Practice assignment solutions MSQ & NAT 34:17
- Practice assignment solutions mcq 23:48
- Practice assignment solution 37:34
- W2_T8: Tutorial 8 07:26
- W7: PA Solution 40:53
- W6: PA solution 55:16
- W12_L1: Revision lecture on set theory | venn diagrams, operations & python applications 27:37
- W12_L2: Revision lecture on relations | properties, representations & applications 53:57
- W12_L3: Revision lecture on polynomial graphing | roots, turning points & visualizations 43:41
- W12_L5: Revision lecture on logarithmic functions 30:11
- W12_L4: Revision lecture on functions | basics, domain & range 30:44
- W12_L6: Revision lecture on basics of graph theory 54:31
- W12_L7: Revision lecture on exponential & composite function 41:50
- Mathematics for Data Science I 25:07
- Maths I Wk 1 Practice Assignment Solution Video 28:56
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