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Applied Mathematics II - E. Safiulina
Topic outline
RKE123 Applied Mathematics II
RKE123 Applied Mathematics II
Lecturer:
Elena Safiulina, PhD
e-mail:
elena@tktk.ee
Lectures: We. 10.30-12.00
C
onsultations:
Syllabus (Fall 2020)
File
Announcements
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LESSON 1. Derivatives of Composite Function
LESSON 1. Derivatives of Composite Function
Quick Review of Composite Functions
File
Derivatives of Composite Functions
File
Self-test 1. Derivative of Composite Function
Quiz
LESSON 2. Logaritmic Derivatives
LESSON 2. Logaritmic Derivatives
Logarithmic Derivatives
File
Self-test 2. Logarithmic Derivatives
Quiz
LESSON 3. Derivative of Implicit Functions
LESSON 3. Derivative of Implicit Functions
Derivative of an Implicit Function
File
Self-test 3. Derivative of an Implicit Function
Quiz
LESSON 4. Derivative of Parametric Functions
LESSON 4. Derivative of Parametric Functions
Derivative of Parametric Functions
File
Self-test 4. Derivative of Parametric Functions
Quiz
LESSON 5. Differentials of First and Higher Orders
LESSON 5. Differentials of First and Higher Orders
Differentials of First and Higher Orders
File
Self-test 5. Differentials
Quiz
LESSON 6. Applications of Derivatives
LESSON 6. Applications of Derivatives
Tangent and Normal
File
Angle between curves
File
L'Hospital - Bernoulli Rule for Evaluating Indeterminate Expressions
File
Planar Motion
File
Self-test 6. Applications of Derivatives
Quiz
LESSON 7. Indefinite Integrals
LESSON 7. Indefinite Integrals
Integration as the reverse of differentiation
File
Integration using a table of anti-derivatives
File
Linearity rules of integration
File
Integration by substitution (1 part)
File
Integration by substitution (2 part)
File
Integrations by parts
File
Self-test 7. Indefinite Integrals
Quiz
LESSON 8. Definite integrals
LESSON 8. Definite integrals
Integration as summation
File
Evaluation of Definite Integrals
File
Self-test 8. Definite integral
Quiz
LESSON 9. Applications of Definite Integrals
LESSON 9. Applications of Definite Integrals
Finding areas by integration
File
Volumes of Solids of Revolutions
File
Self-test 9
Quiz
LESSON 10. Differential Equations
LESSON 10. Differential Equations
Differential Equations of The First Order
File
Self-test 10. Differential Equations
Quiz
LESSON 11. Applications of Differential Equations
LESSON 11. Applications of Differential Equations
Applications of Differential Equations
URL
Self-test 11. Applications of Different Equations
Quiz
LESSON 12. Functions of Several Variables
LESSON 12. Functions of Several Variables
Functions of two or more variables
File
Self-test 12. Functions of Several Variables
Quiz
Kursuse tagasiside
Kursuse tagasiside
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