Monday lecture: 15:00-16:30 P1, excercises: 16:30-18:00
We can meet also on Monday at 1125 in C1
(better to write an
e-mail
or to call 37888.2381 before)
Office:
building K3, 2nd floor, room 201
Lecture: slides (kept update), A4-print version (not so update, several typos are not corrected).
Lecture: examples (in czech).
Moodle
e-learning materials 2020,
e-learning materials 2021,
Study literature:
Introduction to Real Analysis
by
Prof. W. Trench
(local copy).
The Calculus Bible
by
G. S. Gill
(local copy).
Habala's
e-learning modul,
in particular
math tutor
Khan Academy
integral calculus
parts Integrals and Applications of integral
and do not forget dx (does not work currently, local copy of a thumbnail).
Integral test for series:
Paul's notes
,
some video from Khan Academy
intuition
,
worked example for divergence
,
video by The Organic Chemistry Tutor,
another
lecture on criteria
and tests of convergence by The Organic Chemistry Tutor
Video tutorials
by
Professor Leonard:
on Integral calculus (whole series of Lectures 7.n):
7.1: Integration By Parts,
7.2: Techniques For Trigonometric Integrals
(informative only),
7.3:
Integrals By Trigonometric Substitution
7.4:
Integration By Partial Fractions
7.6:
Improper Integrals
on Integral calculus (whole series of Lectures 9.n):
9.1: Convergence and Divergence of Sequences,
9.2: Series, Geometric Series, Harmonic Series, and Divergence Test
9.3: Using the Integral Test for Convergence/Divergence of Series, P-Series
9.4: The Comparison Test for Series and The Limit Comparison Test
9.5: Showing Convergence With the Alternating Series Test,
Finding Error of Sums
9.6: Absolute Convergence, Ratio Test and Root Test For Series
9.7: Power Series, Calculus of Power Series,
Ratio Test for Interval of Convergence
9.8: Representation of Functions by Taylor Series and Maclauren Series
9.9: Approximation of Functions by Taylor Polynomials
on Differential calculus for vector functions (whole series of Lectures 3.13.n):
13.1: Intro to Multivariable Functions (Domain, Sketching, Level Curves)
13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.)
[Informative]
13.3: Partial Derivatives (Derivatives of Multivariable Functions)
13.4: Finding Differentials of Multivariable Functions
13.5: The Chain Rule for Multivariable Functions
13.6: Finding Directional Derivatives and Gradients
13.7: Finding Tangent Planes and Normal Lines to Surfaces
13.8: Finding Extrema of Functions of 2 Variables (Max and Min)
13.9: Constrained Optimization with LaGrange Multipliers
[Informative]
some other inspiration:
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
I Integrate By Parts (Total Eclipse of the Heart Parody)
Calculus Rhapsody
Good luck.
changed 2020-03-23