Simona Fišnarová

Mathematics (2023/24)

Exam:

There will be a written exam consisting of both theoretical questions and practical problems to solve. The maximum points from the exam is 50. In addition, there is possibility to obtain 10 bonus points from homework (5 assignments, each is 2 points). To pass the exam you need 25 points of the total 60.

• Sample exam ,  solution

Homework:

• Homework 1   deadline: October 27, 2023,  solution
• Homework 2   deadline: November 10, 2023,  solution
• Homework 3   deadline: November 24, 2023,  solution
• Homework 4   deadline: December 8, 2023,  solution
• Homework 5   deadline: December 21, 2023

Lectures:

• Linear algebra: vectors, matrices, determinants   slides, printer-friendly version
• Systems of linear equations   slides, printer-friendly version
• Functions - basic concepts   slides
• Limit and continuity   slides
• Derivative   slides
• Extrema and concavity   slides,   practical problems
• Calculus   slides, printer-friendly version
• Indefinite integral   slides, printer-friendly version
• Definite integral   slides, printer-friendly version
• A suitable textbook
• Graphs of basic elementary fucntions
• Formulas for differentiation and integration
• Khan Academy

Problems:

• Linear algebra
• Matrices (operations, rank)
• Determinants 
• Inverse matrix  (R. Mařík)
• Systems of linear equations
• Functions
• Derivatives
• Monotnicity, extrema, concavity
• Integrals - basic formulas and operations
• Integrals - substitution, by parts, definite inegral

Useful links:

• Wolfram Alpha
• English - Czech / Czech - English dictionary of mathematical terminology