Introductory mathematical course

Introduction

1h 45min
Students will be familiarised with the course schedule and expected activities.

Real functions of real variables

26h 55min
FC and instruction-based learning
Aiheen oppimistulokset: Analyze and solve a problem task in the area of mathematical analysis of the function of one variables (40%), Define elementary functions of a real variable, analyze their properties and sketch their graphs. (60%)

Limit of functions

10h 15min
Aiheen oppimistulokset: Explain a concept of a limit and determine standard limits of functions (100%), Analyze an elementary function using derivatives and sketch its graph (10%), Define elementary functions of a real variable, analyze their properties and sketch their graphs. (10%)

Monthly test 1

8h 25min
Aiheen oppimistulokset: Analyze and solve a problem task in the area of mathematical analysis of the function of one variables (10%), Define elementary functions of a real variable, analyze their properties and sketch their graphs. (20%)

The Derivative - basic concepts, techniques and rules

11h 10min
FC / instruction-based learning
Aiheen oppimistulokset: Explain the concept of the derivative of a real function of one real variable and its geometric interpretation (90%), Apply differential calculus to find local extrema of a function with one variable and inflection points of the function. (30%), Analyze an elementary function using derivatives and sketch its graph (20%), Define elementary functions of a real variable, analyze their properties and sketch their graphs. (10%)

Application of derivatives

16h 5min
FC / instruction-based learning
Aiheen oppimistulokset: Apply differential calculus to find local extrema of a function with one variable and inflection points of the function. (60%), Analyze an elementary function using derivatives and sketch its graph (50%), Analyze and solve a problem task in the area of mathematical analysis of the function of one variables (10%)

Monthly test 2

8h 25min
Aiheen oppimistulokset: Explain the concept of the derivative of a real function of one real variable and its geometric interpretation (10%), Apply differential calculus to find local extrema of a function with one variable and inflection points of the function. (10%), Analyze an elementary function using derivatives and sketch its graph (20%)

Project team work - PEER ASSESSMENT

21h 25min
WBP / project-based learning + PEER ASSESSMENT Students work in groups and apply mathematical methods to solve problems, with an emphasis on computer science problems.
Aiheen oppimistulokset: Analyze and solve a problem task in the area of mathematical analysis of the function of one variables (5%), Create a program solution for a specific mathematical problem and present the solution in written format (100%)

Integration - basic concepts, techniques and rules

8h 55min
FC / instruction-based learning
Aiheen oppimistulokset: Explain the concept of primitive function and integrals of a function with one variable (45%), Determine the primitive function and apply integral calculus in calculating surface area and volume. (20%), Analyze and solve a problem task in the area of mathematical analysis of the function of one variables (35%)

Application of integral calculus

16h 55min
Aiheen oppimistulokset: Explain the concept of primitive function and integrals of a function with one variable (35%), Determine the primitive function and apply integral calculus in calculating surface area and volume. (60%)

Monthly test 3

8h 25min
Aiheen oppimistulokset: Explain the concept of primitive function and integrals of a function with one variable (20%), Determine the primitive function and apply integral calculus in calculating surface area and volume. (20%)

 

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