HF1000 Mathematics 2 7.5 credits
Matematik 2
Course syllabus for HF1000 valid from Autumn 07, edition 3.
Intended learning outcomes
After completing this course, students should be able to:
Solve problems which involve complex numbers
Solve first order differential equation.
Solve second order linear differential equation with constant coefficient.
Apply differential equations to different technical fields
Use Laplace an Fourier transforms to solve differential and integral equations
Use the Z-transform to solve difference equations
Use suitable software for symbolic as well as numerical solving mathematical problems and applications
mentioned above.
Course main content
Complex numbers: The complex plane. Modulus and argument. Polar, rectangular and exponential form.
Euler´s and de Moivre´s theorems. Binomial equations. Algebraic equations.
Taylor’s formula
Differential equations: Separable differential equations. First order differential equations.
Linear differential equations with constant coefficients. Applications.
Transforms:
Heaviside function. Dirac function.
Laplace transforms.
Z-transform.
Fourier transforms.
Fourier series.
Applications on continuous and discrete dynamical systems. Stability.
Eligibility
Literature
Part 1: Modern Engineering Mathematics, 4th Edition, Glyn James
Alternatives for part 1: Matematik för ingenjörer, S Rodhe, H Sollervall
Part 2: Transformteori för ingenjörer; författare: H. Sollervall, B Styf
Examination
LAB1 - Assignments, 1.5 credits, grade scale: P, F
TEN1 - Defferential Equations, 3.0 credits, grade scale: A, B, C, D, E, FX, F
TEN2 - Transforms, 3.0 credits, grade scale: A, B, C, D, E, FX, F
Course syllabus for HF1000 valid from Autumn 07, edition 3.
Page 1 of 2
Requirements for final grade
LAB1 - Assignments, 1.5 credits, grade scale: P, F
TEN1 - Defferential Equations, 3.0 credits, grade scale: A, B, C, D, E, FX, F
TEN2 - Transforms, 3.0 credits, grade scale: A, B, C, D, E, FX, F
Course syllabus for HF1000 valid from Autumn 07, edition 3.
Page 2 of 2