About this Course

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Intermediate Level

All the themes demand only mathematical background amongst the ordinary school program and initial Python programming skills.

Approx. 32 hours to complete
English
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Intermediate Level

All the themes demand only mathematical background amongst the ordinary school program and initial Python programming skills.

Approx. 32 hours to complete
English

Offered by

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National Research University Higher School of Economics

Start working towards your Master's degree

This course is part of the 100% online Master of Data Science from National Research University Higher School of Economics. If you are admitted to the full program, your courses count towards your degree learning.

Syllabus - What you will learn from this course

Week
1

Week 1

6 hours to complete

Introduction: Numerical Sets, Functions, Limits

6 hours to complete
14 videos (Total 103 min), 5 readings, 3 quizzes
14 videos
Welcome to the Course!2m
Introduction to the Week1m
Numerical Sets13m
Mappings and Quantifiers3m
Functions : Definitions10m
Functions: Arithmetic and Composition8m
Graph Transformations11m
Limit of Sequences7m
Limit of Sequences: Examples11m
Limit of Sequences: Arithmetic Rules12m
Limits of Sequences: Definition of e7m
The Indeterminate Forms3m
Comparison between Polynomial, Exponential and Logarithmic Functions10m
5 readings
About the University10m
Rules on the academic integrity in the course10m
Real numbers10m
Newton's Binomial Theorem10m
The Definition of e30m
3 practice exercises
Practice Quiz #115m
Practice Quiz #215m
First Week Final Test1h
Week
2

Week 2

6 hours to complete

Limits and Multivariate Functions

6 hours to complete
13 videos (Total 110 min)
13 videos
From Sequences to Functions3m
Function’s Limit6m
Function’s Limit: Examples9m
Function’s Limit: Arithmetic8m
Function’s Limit: Indeterminate Forms and Boundary Rule10m
Two Important Limits10m
Asymptotic Notations6m
Big-O7m
Little-o11m
Multivariate Functions: Definitions13m
Multivariate Functions: Limits8m
Multivariate limits: Examples12m
3 practice exercises
Practice Quiz #130m
Practice Quiz #230m
Second Week Final Test2h
Week
3

Week 3

5 hours to complete

Derivatives and Linear Approximations: Singlevariate Functions

5 hours to complete
13 videos (Total 74 min), 3 readings, 4 quizzes
13 videos
Derivative: Definition3m
Differentiability3m
Derivatives: Examples8m
Arithmetic of Derivatives7m
Derivatives: Chain Rule8m
Tangent Line: Equation6m
Linear Approximations9m
Mean Value Theorem4m
Second Derivatives6m
Convexity3m
Extrema and First Derivative6m
Extrema and Second Derivative3m
3 readings
Derivatives: Logarithmic Rule10m
Derivatives: Inverse Functions10m
Extrema: Clearing the Air10m
4 practice exercises
Practice Quiz #130m
Practice Quiz #230m
Practice Quiz #330m
Third Week Final Test1h
Week
4

Week 4

4 hours to complete

Derivatives and Linear Approximations: Multivariate Functions

4 hours to complete
14 videos (Total 96 min)
14 videos
Tangent Plane: Motivation1m
Partial Derivatives: Definition3m
Partial Derivatives: Examples5m
Tangent Plane: Definition8m
Differentiability of Multivariate Function3m
Differentiability of Multivariate Function: Example9m
Differentiability: Sufficient Condition4m
Basic Geometry and Gradient11m
Chain Rule: One Independent Variable7m
Second Partial Derivatives9m
Differentials of Multivariate Functions13m
Convexity4m
Second Partial Derivatives: Convexity11m
3 practice exercises
Practice Quiz #130m
Practice Quiz #230m
Forth Week Final Test1h

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Mathematics for Data Science

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