PHY 157 — MATHEMATICS FOR PHYSICS I
BSc BSc Physics · Kwame Nkrumah University of Science and Technology
Elements of logic Some basic notations of set theory concept of functions The real number system R: natural numbers; positive and negative integers; rational and irrational (I) numbers, decimal representation of real numbers Real numbers and length, axioms of arithmetic; axioms of order; fundamental inequalities; completeness property of R; the uncountability of R and I Introduction to axiomatic set theory Elements of point set theory Infinity in the real number system Mathematical induction. Basic concepts: divisibility of integers; the greatest common divisor. Linear Diophantine equations. Number bases. Limits of functions. Continuous functions. Discontinuities. Monotonic functions. Infinite limits and limits at infinity. Derivative of a function of a real variable. Mean value theorem. Continuity of derivatives. L’Hospitals theorem. Derivatives of higher order. Taylor’s theorem. Application of Taylor’s theorem. Relative extrema
- Credits
- 2
- Level
- Level 100
Other courses on this programme
- CHEM 155 — Basic Physical Chemistry
- CHEM 156 — BASIC PHYSICAL CHEMISTRY II
- CSM 184 — INTRODUCTION TO COMPUTERS II
- ECON 151 — Introduction to Economics I
- ECON 152 — Elements of Economics II
- ENGL 157 — Communication Skills I
- ENGL 158 — Communication Skills II
- FC 181 — FRENCH FOR COMMUNICATION
- FC 182 — FRENCH FOR COMMUNICATION II
- PHY 151 — INTRODUCTORY MECHANICS
- PHY 152 — GEOMETRICAL OPTICS AND WAVES
- PHY 153 — ELECTRICITY AND MAGNETISM
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