# ING1029 Technical Science 2

## Course description for academic year 2018/2019

### Contents and structure

Linear motion, equation of motion with constant acceleration, Newtons law, momentum equation, quantity of motion (using vectors). Friction. Work, kinetic energy and potential  energy. Temperature, heat and internal energy. Electrotechnology, energy and power. Trigonometric functions, logarithms and exponential functions, integration. Number sequences and series of numbers. Statistics. Complex numbers, AC-circuits with impedances and operational amplifiers.

### Learning Outcome

-Knowledge:

The students can

• Explain Newton`s 3 laws.
• Explain the relationship between work and mechanical energy.
• Explain trigonometric definitions and present them graphically.
• Explain the definition of logarithmic functions and exponential functions with different basic numbers.
• Explain a definite integral of a function graphically.
• Explain the concept of convergence.
• Reproduce and discuss thermodynamics first and second law.
• Define the concepts of current, voltage, resistance and impedance or can explain risk analysis with focus on the establishment of the barrier image.
• Know the complex numbers and their relation to the real numbers

-Skills

The students can

• Use calculations based on Newton`s law for linear motion.
• Use good and clear sketches as part of solutions in mechanics.
• Use calculation rules of differentiation to find the derivatives of sums, differences, products, quotients and  functions.
• curc sketching with regard to curvature properties, extrema, turning points, tangent and normal.
• Use trigonometric formula to solve equations and inequalities, discuss trigonometric exponential and logarithmic functions .
• Use calculation rules for logarithms to exercises and to solve equations.
• Use calculation rules for volume and area and can solve maximums and minimums problems.
• Find indefinite and definite integrals using integrate rules and methods of integration substitution and partial fractions.
• Find sum of finite arithmetic and geometric series.
• Find the  convergence of geometric series.
• Use principles of saving charge and energy in simple and branched direct current circuits or can define methodsof risk analysis.
• Use the knowledge of complex numbers to do calculations on AC-circuits.

-General qualification:

The students:

• Can write mathematics correctly with the correct use of mathematical symbols and notation.
• Can explain physical and mathematical problems and solution methods to others, both in writing, verbally and in other ways.
• understand the importance of mathematics and physics in engineering context, and can link this prerequisite knowledge of their trade certificate.

None.

### Recommended previous knowledge

Technichal Science 1

### Teaching methods

Lectures and workshop.

### Compulsory learning activities

Yes, the study requirements are specified during semester start.

### Assessment

Written exam, 5 hours.

Grade: A - E / passed; F / failed.

### Examination support material

Simple calculator: Allowed calculator is Casio fx-82 (all varieties: ES, ES Plus, EX, Solar etc.)