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Mathematical Physics Application

MTH2134
Two hours English

Mathematical Physics Application

Mathematical Physics Application MTH
1 Differential equation / First-order differential equations / Separable variables / Exact equations / Integrating factors / Bernoulli's equation / Second-order equations with constant coefficients / Nature of the solution of linear equations / General solutions of the second-order equations / Finding the complementary function / Finding the particular integral / Particular integral and the operator D / Rules for D operators / The Euler linear equation / Solutions in power series / Ordinary and singular points of a differential equation / Frobenius and Fuchs theorem / Simultaneous equations
2 Probabilities and statistics / Sample Space / Probability Theorems / Methods of Counting / Random Variables / Continuous Distributions / Binomial Distribution / The Normal or Gaussian Distribution / The Poisson Distribution / Statistics and Experimental Measurements
3 Operators / Operator formalism / Operator Algebra / Commutators / Examples of operators / Solved examples
1.1 Mapped to: K1

Recognize the basic concepts of probability.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
1.2 Mapped to: K2

Describe the basics mathematical tools of quantum mechanics.

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

Solve first and second order differential equations using different methods.

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes
3.1 Mapped to: V1

Work effectively individually or within a team

Teaching Strategy Lectures
Assessment Methods Exams, homework and quizzes