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Main
UQU Programs
Medical Physics

Theoretical Methods in Medical Physics

PHYS3904
3 hours English

Theoretical Methods in Medical Physics

Theoretical Methods in Medical Physics PHYS
MTH1102 Calculus 2
3 hours No requisites
1 VECTOR ANALYSIS / Scalars and vectors / Addition and subtraction of vectors / Multiplication by a scalar / Basis vectors and components / Magnitude of a vector / Multiplication of vectors / Differentiation of vectors / Integration of vectors
2 FOURIER SERIES AND TRANSFORMS / Simple Harmonic Motion and Wave Motion; Periodic Functions / Applications of Fourier Series / Average Value of a Function / Fourier Coefficients / Dirichlet Conditions / Complex Form of Fourier Series / Other Intervals / Even and Odd Functions / An Application to Sound / Parseval’s Theorem / Fourier Transforms
3 PARTIAL DIFFERENTIAL EQUATIONS / Laplace’s Equation; Steady-State Temperature in a Rectangular Plate / The Diffusion or Heat Flow Equation; the Schr?dinger Equation / The Wave Equation; the Vibrating String / Steady-state Temperature in a Cylinder / Vibration of a Circular Membrane / Steady-state Temperature in a Sphere / Poisson’s Equation
4 PROBABILITY AND STATISTICS / Sample Space / Probability Theorems / Methodsof Counting / Random Variables / Continuous Distributions / Binomial Distribution / The Normalor Gaussian Distribution / The Poisson Distribution / Statistics and Experimental Measurements
5 NUMERICAL METHODS / Interpolation / Curve fitting / Examples
1.1 Mapped to: K1

Define vectors quantities and their properties.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
1.2 Mapped to: K1

Define Fourier series associated with simple functions and apply them to selected physical problems.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
1.3 Mapped to: K1

Identify mathematical model for many scientific and engineering problems involving partial differential equations.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
2.1 Mapped to: S1,S2

Apply Fourier and Laplace transforms to solve physics problems.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
2.2 Mapped to: S1,S2

Use partial differential equations to model wave, heat flow and related phenomena.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
2.3 Mapped to: S1,S2

Use the basic concepts of probability in medical physics.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
2.4 Mapped to: S1,S2

Apply the suitable method for interpolation and fit data in medical physics problems.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
Assessment
Weight
Homework and Quizzes
20%
Midterm Exams
30%
Final Exam
50%
Total
100%